Find the solution to the system
of equations.
y = x + 2 =
X
24-3-2-1
-4
3
1
-1
-2
-3
-4
123
234
y = -x
([?], [])
Entor

Find The Solution To The Systemof Equations.y = X + 2 =X24-3-2-1-431-1-2-3-4123234y = -x([?], [])Entor

Answers

Answer 1

Answer:

(-2, 1)

Step-by-step explanation:

You can read the solution from graph. The solution is where the two lines intersect. That happens in point (-2, 1).

---

Alternative:

If you want to be sure, you can alway double check by solving the system of equations.

First equation: [tex]y = \frac{1}{2}x + 2[/tex]

Second equation: [tex]y = -\frac{1}{2}x[/tex]

Substituting y in first equation with y from second.

[tex]y = \frac{1}{2}x + 2[/tex]

[tex]-\frac{1}{2}x = \frac{1}{2}x + 2[/tex]

Adding [tex]\frac{1}{2}x[/tex] on both sides.

[tex]-\frac{1}{2}x + \frac{1}{2}x = \frac{1}{2}x + 2 + \frac{1}{2}x[/tex]

[tex]0 = 1x + 2[/tex]

[tex]0 = x + 2[/tex]

[tex]-2 = x[/tex]

Substituting x with -2.

[tex]y = -\frac{1}{2}x[/tex]

[tex]y = -\frac{1}{2}(-2)[/tex]

[tex]y = 1[/tex]

As you see you get the same result as from reading the graph, (-2, 1).


Related Questions

which equation has the solution x=6

Answers

Answer:

need more info

Step-by-step explanation:

what I can tell you is that when you change all the x's in the equation to 6s, both sides of the equation will equal eachother.

Help me with this i need steps :c!

Answers

Answer:

The area of a triangle is 1/2 × base × height. 24 = 1/2 × 12 × height. Therefore height = 24/6 = 4 .

Answer:

8

Step-by-step explanation:

24=6*h/2

48=6*h

8=h

h is altitude

Suppose Jenny places 9500 in an account that pays 13% interest compounded each year. Assume that no withdrawals are made from the account.

Answers

tell me your the greatest but once you turn they hate us

PLSSS! Fast! I will give 5 stars! At noon, the temperatures in Portland, Maine and Phoenix, Arizona had opposite values. The temperature in Portland was lower than in Phoenix. What was the temperature in each city? Explain your reasoning.

Answers

Opposite values are those values which on the number line has the same distance between them and zero. The temperature in each city is PoT=-PhT and PhT =+PoT.

What are opposite values?

Opposite values are those values which on the number line has the same distance between them and zero. Although the sign on the values may be difference. For example if the first value is 4, then its opposite value is -4.

In general, the temperature equation for Portland, Maine is stated mathematically as

PoT=-PhT

As it is given in the question that the Portland, Maine and Phoenix, Arizona had opposite values. Also, the temperature in Portland is lower than in Phoenix. Therefore, the temperature in each city can be written as,

PoT=-PhT

PhT =+PoT

Hence, the temperature in each city is PoT=-PhT and PhT =+PoT.

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How do you classify the following polynomial?
-4x³ + 2x² - 5x+3x²

Answers

Answer:

-4 x³+2x²-5x+3x²

combine like terms

-4x³ +5x²-5x

common factors

-1(4x³-5x²+5x)

find one factors

Ans: -x (4x²-5x+5)

)The width of a rectangle is shown below:

A coordinate plane with a point A at negative 3, 3 and C at negative 3, negative 2.

If the area of the rectangle to be drawn is 20 square units, where should points B and D be located if they lie to the right of points A and C?

B(1, 3) and D(1, −2)
B(3, 3) and D(3, −2)
B(2, 3) and D(2, −2)
B(1, 2) and D(1, −3)

Answers

Answer: B(1, 3) and D(1, −2)

Step-by-step explanation:

The distance from A to C is 5, meaning we need the length to be 4.

If they lie to the right, we need to add 4 to the x coordinates, so the x coordinates should be 1, and the y coordinates should be 3 and -2.

The locations of B and D are given by (A) B(1,3) and D(1,-2).

The area of rectangle is given by the product of the length and width of that rectangle.

Area = Length*Width

Distance between two points (a,b) and (c,d) is given by,

[tex]d=\sqrt{(c-a)^2+(d-b)^2}[/tex]

Here in the given question it is mentioned that AC forms width of a rectangle and A is at (-3,3) and C is at (-3,-2)

Now the width is [tex]=\sqrt{(-3-(-3))^2+(-2-3)^2}=\sqrt{0^2+(-5)^2}=\sqrt{25}=5[/tex] unit.

Also it is given that, the area of the rectangle is 20 square units.

So the length is = 20/5 = 4 units

B and D lie to the right of points A and C respectively.

We have to go 4 units right to the A to find B and 4 units right to C to find D.

A is at (-3,3)

then B is at (-3+4,3) = (1,3)

C is at (-3,-2)

So D is at (-3+4,-2) = (1,-2)

Hence correct option is (A) B(1,3) and D(1,-2)

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What is the equation for a cosecant function with vertical asymptotes found at x equals pi over 3 plus pi over 3 times n comma such that n is an integer?

f (x) = 3csc4x
g(x) = 3csc2x
h(x) = 4cscx
j (x) = 4csc3x

Answers

Despite not being a part of the function graph, a vertical asymptote is a vertical line that serves as a guide f (x) = 3csc4x.

How do you find a vertical asymptote?

The denominator of the function, n(x), is the place where vertical asymptotes can be located.

If the numerator, t(x), is not zero for the same value of x, then the vertical asymptotes can be determined by solving the equation n(x) = 0 where n(x) is the denominator.

f (x) = 3csc4x.

Periodicity of 3csc(4x) : π / 2

Domain of  3csc(4x) :

Solution : π  / 2 n<x < π  / 4 + π  / 2 n or π /4 + π  / 2 n< x < π /2 + π /2 n

Interval Notation : ( π / 2 n,π /4 + π /2)n) ∪ (π / 4 + π /2 n, π  / 2 + π /2 n)

Range of  3csc(4x) :

Solution : f(x) ≤ -3 or f(x) ≥ 3

Interval notation : ( - ∝ , -3 ) ∪ (3,∝)

Axis interception points of 3csc(4x) :  None

Asymptotes of 3csc(4x) :  vertical: x = π / 2 n, x = π / 4 + π/2 n

extreme points of 3csc(4x) :

Minimum (π /8 + π / 2 n,3 ),

Maximum ( 3π / 8 + π/2n, -3).

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Despite not being a part of the function graph, a vertical asymptote is a vertical line that serves as a guide f (x) = 3csc4x.

How do you find a vertical asymptote?

The denominator of the function, n(x), is the place where vertical asymptotes can be located.

If the numerator, t(x), is not zero for the same value of x, then the vertical asymptotes can be determined by solving the equation n(x) = 0 where n(x) is the denominator.

f (x) = 3csc4x.

Periodicity of 3csc(4x) : π / 2

Domain of  3csc(4x) :

Solution : π  / 2 n<x < π  / 4 + π  / 2 n or π /4 + π  / 2 n< x < π /2 + π /2 n

Interval Notation : ( π / 2 n,π /4 + π /2)n) ∪ (π / 4 + π /2 n, π  / 2 + π /2 n)

Range of  3csc(4x) :

Solution : f(x) ≤ -3 or f(x) ≥ 3

Interval notation : ( - ∝ , -3 ) ∪ (3,∝)

Axis interception points of 3csc(4x) :  None

Asymptotes of 3csc(4x) :  vertical: x = π / 2 n, x = π / 4 + π/2 n

extreme points of 3csc(4x) :

Minimum (π /8 + π / 2 n,3 ),

Maximum ( 3π / 8 + π/2n, -3).

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(4₊√₋81)₋(9₊√₋9) i cant resolve this equation. thanks for help

Answers

The question can't be solved because we can't have negative sign under square root

Answer:

 -5 +6i

Step-by-step explanation:

Square roots of negative numbers are imaginary. This is asking for the difference of two complex numbers. A suitable calculator can show you what that is.

__

simplify radicals

We know that √(-1) ≜ i. This means the radicals can be simplified to ...

  [tex]\sqrt{-81}=\sqrt{9^2(-1)}=9\sqrt{-1}=9i\\\\\sqrt{-9}=\sqrt{3^2(-1)}=3\sqrt{-1}=3i[/tex]

So the expression becomes ...

  (4 +9i) -(9 +3i)

combine terms

Like terms can be combined in the usual way. For the purpose here, i can be treated as though it were a variable.

  (4 +9i) -(9 +3i) = 4 +9i -9 -3i

  = (4 -9) +(9 -3)i

  = -5 +6i

What is:
[tex]5x + 5 = 5 \times (10 \div 5)[/tex]
Solve this equation.​

Answers

Answer:

x = 1

Step-by-step explanation:

To solve an equation for a variable, we need to isolate (get the variable alone on one side)

(the order of the following was determined by PEMDAS)

5x + 5 = 5 (10 ÷ 5)   [simplify inside parentheses]

5x + 5 = 5 (2)

5x + 5 = 10

     - 5    -5             [subtract 5 from both sides to isolate x]

5x = 5

÷5    ÷5     [divide both sides to get x]

x = 1

hope this helps!!

5x + 5 = 5*(10/5)
x = 1

What is the asymptote of the graph of f(x)=5x−1?

Answers

The asymptotes of the graph of [tex]f(x) = \frac{5}{x - 1}[/tex] are as follows:

Vertical: x = 1.Horizontal: y = 0.

What are the asymptotes of a function f(x)?

The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.The horizontal asymptote is the value of f(x) as x goes to infinity, as long as this value is different of infinity.

In this problem, the function is:

[tex]f(x) = \frac{5}{x - 1}[/tex]

For the vertical asymptote, we have that:

[tex]x - 1 = 0 \rightarrow x = 1[/tex].

For the horizontal asymptote, we have that:

[tex]y = \lim_{x \rightarrow \infty} f(x) = \frac{5}{\infty - 1} = 0[/tex].

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A survey of 600 randomly selected high school students determined that 290 play organized sports. what is the probability that a randomly selected high school student plays sports

Answers

Answer:

29/60

Step-by-step explanation:

probability of playing is 290/600 which when simplified is29/60

In the standard Normal distribution, which z-score represents the 99th percentile?

Find the z-table here.

–3.00
–2.33
2.33
3.00

Picture posted below

Answers

The Z- score representing the 99th percentile is given by 2.33

Problems of commonly distributed samples can be solved using the z-score formula.

For a set with a standard deviation, the z-score scale X is provided by:

Z = ( x- mean )/ standard deviation

Z-score measures how many standard deviations are derived from the description. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the scale is less than X, that is, the X percentage. Subtract 1 with p-value, we get the chance that the average value is greater than X.

To Find the z-result corresponding to P99, 99 percent of the normal distribution curve.

This is the Z value where X has a p-value of 0.99. This is between 2.32 and 2.33, so the answer is Z = 2.33

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Find the domain and range of the function graphed below. Write your answers in interval notation.

Answers

Answer:

Domain: [tex][-2, 3)[/tex]Range: [tex](-5, 4][/tex]Is the relation a function? - Yes

Step-by-step explanation:

The domain is the set of x-values and the range is the set of y-values.

A relation is a function if each value of x maps onto no more than one value of y.

binomial expansion of (2+3x)^5

Answers

32 + 240x + 720x^2 +1080x^3 + 810x^4 + 243x^5

Which equation is made true by the opposite angles theorem? A. 40 − 2x = 85 + y B. x − 8 = 40 − 2x C. x − 8 = 3y − 15 D. 3y − 15 = 85 + y

Answers

Option B. x-8 = 40-2x is the correct equation for the opposite angle theorem.

According to the Opposite angles theorem,

Vertical angles theorem or vertically opposite angles theorem states that two opposite vertical angles formed when two lines intersect each other are always equal (congruent) to each other.


[tex]= > x-8=40-2x[/tex] ( : Because opposite vertex angles are equal)

So option B is correct in the given question

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Answer:

D.) 3y-15 =85+

Step-by-step explanation:

simply put, opposite angles theorem is where the angles are on the opposite side so the parallelogram in the photo shows that 3y-15 is on the opposite angle as 85+y (I also got this one right lol)

What is the midpoint of AB?

Answers

Answer: Point G.

Step-by-step explanation:

Count the number of spaces between points A and B. Then divide that number by 2 and count that many spaces from one point.

14/2=7

I hope this helps!! Pls mark brainliest :)

point G is the answer, literally look at it, anyways trust

Photo is attached, please help! Will give brainliest

Answers

Here you go! please make sure you read it all too understand it, and make sure you try work before asking for help :D Have a awesome day/night

Answer:735

Step-by-step explanation:I was hoping you’d have another. Dv/dt=d/dt((7+5t)^3)=3x5x((7+5t)^2)=15x49. Does this work?

Use the calculator to graph the function y = 2x2 25x + 3. What are the coordinates of the turning point of the graph to the nearest hundredth?

Vertex = (
,
)

Answers

The coordinates of the turning point of the graph of the quadratic equation is given by: (-6.25, -75.13).

What is the vertex of a quadratic equation?

A quadratic equation is modeled by:

[tex]y = ax^2 + bx + c[/tex]

The vertex is given by:

[tex](x_v, y_v)[/tex]

In which:

[tex]x_v = -\frac{b}{2a}[/tex][tex]y_v = -\frac{b^2 - 4ac}{4a}[/tex]

In this problem, the function is given by:

y = 2x² + 25x + 3.

Hence the coefficients are a = 2, b = 25, c = 3, then the coordinates of the vertex are given as follows:

[tex]x_v = -\frac{25}{2(2)} = -6.25[/tex][tex]y_v = -\frac{25^2 - 4(2)(3)}{4(2)} = -75.13[/tex]

The coordinates of the turning point of the graph of the quadratic equation is given by: (-6.25, -75.13).

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Answer:

6.25, -75.13

Step-by-step explanation:

it just is

From this diagram, select the
pair of lines that must be
parallel if 27 and 25 are
supplementary. If there is no
pair of lines, select "none."

Answers

Answer:

l

Step-by-step explanation:

Answer:

Lines L and n are parallel

Explanation -

In the question it is given that angle 7 and angle 5 are supplementary.

which means that sum of this angle is 180°

so line L and n are parallel

What is the domain of the function
f(x) = [tex]\sqrt{1/3 x + 2}[/tex]

Answers

The domain of the function is:

D: {x ∈ R | x ≥ -6}

How to get the domain of the function?

Here we have:

[tex]f(x) = \sqrt{(1/3)*x + 2}[/tex]

Remember that the argument of a square root can be only numbers equal to or larger than zero, so the domain of that function is such that:

[tex](1/3)*x + 2 \geq 0[/tex]

Now we can solve that for x.

[tex](1/3)*x + 2 \geq 0\\(1/3)*x \geq -2\\\\x \geq -2*(3/1)\\\\x \geq -6[/tex]

So the domain of the function is:

D: {x ∈ R | x ≥ -6}

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Answer:

The domain of the function is:

D: {x ∈ R | x ≥ -6}

5.2 Two concentric circles have radii 7cm and 4cm respectively. PQ, a chord to the larger circle, is 13cm. 5.2.1 Draw the sketch. (2) 5.2.2 Calculate AB (a chord to a smaller circle), correct to 2 decimal places. (6)​

Answers

The length of the chord AB will be 6.08 cm

A chord of a circle is a section of a straight line whose ends both fall on an arc of a circle. A secant line, often known as secant, is a chord's infinite line extension. A chord is, more broadly speaking, a line segment connecting two points on any curve, such as an ellipse.

Given two concentric circles have radii 7cm and 4cm respectively. PQ, a chord to the larger circle, is 13cm

We have to find the length of chord AB drawn to smaller circle

Given:

PQ = 13 cm

R = 7 cm

r = 4 cm

The formula to find length of chord is as follow:

Length of chord = 2 x √(R²-d²)

Where,

R = radius of circle

D = Perpendicular distance from center of circle to chord

So,

PQ = 2 x √(R²-d²)

13 = 2 x √(7²-d²)

d = 2.59 cm

Now,

AB = 2 x √(r²-d²)

AB = 2 x √(4²-2.59²)

AB = 6.08 cm

Hence the length of chord AB will be 6.08 cm

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The pH can be calculated using the equation pH = –log(H+), where H+ is the hydronium ion concentration. Find the hydronium ion concentration of a particular soda if the pH level is 2.3.​

Answers

Answer:

Step-by-step explanationp :

ph =lo 4

The circle below is centered at the point (-1, 2) and has a radius of length 3.
What is its equation?
O A. (*+ 1)2 + (y- 2)2 = 9
O B. (x- 2)2 + (y + 1)? =
32
O c. (x- 1)2 + (y + 2)2 = 9
l
O D. (x+ 2)2 + (y- 1)2 =
32

Answers

Answer:

it should be option A

and in option there should be "x" instead of "*"

Equation of circle is,

⇒ (x + 1)² + (y - 2)² = 9

What is mean by Circle?

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

Given that;

The circle below is centered at the point (-1, 2) and has a radius of length 3.

Now, We get;

The equation of circle is,

⇒ (x - (- 1))² + (y- 2)² = 3²

⇒ (x + 1)² + (y - 2)² = 9

Thus, Equation of circle is,

⇒ (x + 1)² + (y - 2)² = 9

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Consider a student loan of $12, 500 at a fixed APR rate of 9% for 25 years.
a. Calculate the monthly payment
b. Determine the total amount paid over the term of the loan
c. Of the total amount paid, what percentage is paid toward the principal and what percentage is paid for interest.

Answers

The monthly payment is; $104.9; The total amount paid over the term of the loan is; $31470

How to calculate APR?

We are given;

Loan principal = $12,500

Interest rate = 12%

Number of payments per year = 12 payments per year.

Loan term = 25 years.

Formula for monthly payment is;

PMT = (p * APR/n)/[1 - (1 + APR/n)^(-nY)]

Where;

p is principal

APR is interest rate

n is number of payments per year

Y is loan term

Thus;

PMT = (12500 * 0.09/12)/[1 - (1 + 0.09/12)^(-12 * 25)]

PMT = 93.75/(1 - 0.106288)

PMT = $104.9

B) Total amount paid over the loan term is;

A = PMT * m * n

where;

m is number of months in a year,

n is number of years

A = 104.9 * 12 * 25

A = $31470

C) The principal as a percentage of the loan is;

P/A = 12500/31470

P/A = 39.72%

Percentage paid for interest is = 100% - 39.72% = 80.28%

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i need to Match each equation that represents each situation.

Answers

Step-by-step explanation:

this is quite easy, when you use just common sense and identify the right numbers and variable names.

they is nothing special needed, you don't even need to create the equations yourself.

$4.99 per pound. buys b pounds and pays $14.95.

14.95 = 4.99 × b

$4.99 per pound. buys b pounds and pays c.

this is exactly the same as before, just that this time the total amount is not given as a constant but as a variable.

c = 4.99 × b

d dollars per pound. buys b pounds and pays t.

the same as the 2 cases before, just now everything is a variable. no more constants, but otherwise the completely same structure and method.

t = d × b

earned $275, which is $45 more than Noah ("n").

$275 = n + $45

earned m dollars, which is $45 more than Noah ("n").

m = n + $45

earned m dollars, which is y dollars more than Noah (we are asked that Noah's earnings are now called "v").

here your teacher made a mistake.

sure, the only remaining answer is

v = m + y

but it is not correct. given the names of the prime and associated variables the correct answer would be

m = v + y or v = m - y


A line / passes through point (-2, 5) and has the same y-intercept as
the line y-3x-4. What is the equation for the line /?

Answers

I'm assuming you meant to write y = 3x-4

We know that the y-intercept of the given line is (0,-4), so we need to find the equation of the line passing through (-2,5) and (0,-4).

The slope is

[tex]\frac{-4-5}{0-(-2)}=-\frac{9}{2}[/tex]

So, this means the equation is [tex]\boxed{y=-\frac{9}{2}x-4}[/tex]

Why can’t 1.07 pounds of sugar be compared to 1.23 cups of sugar.

Answers

Answer:

A pound is a measure of weight and a cup is a measure of volume. One pound of granulated sugar contains “approximately” 2 cups.

Simplify this equation 10 ^-8

Answers

1
———
10^8

1

100000000

Two trains leave station 416 miles apart. One train is traveling 90 miles per hour while the other is traveling 70 miles per hour. How long will it take the two trains to meet

Answers

Answer:

2.6 hours

Step-by-step explanation:

Let t be the time that the trains meet.

[tex]90t = 416 - 70t[/tex]

[tex]160t = 416[/tex]

[tex]t = 2.6[/tex]

Follow the steps to find the
area of the shaded region.
First, use the formula
below to find the area
of the whole sector.
=
angle of sector
360
¹) πr²
Sector Area = [?] cm²
Round to four decimal places.
Sector Area
14 cm
46°
14 cm
Enter

Answers

Based on the calculations, the area of the whole sector is equal to 4,508 cm².

Given the following data:

Angle of sector = 46°.Radius of circle = 14 cm.

How to calculate the area of a sector?

Mathematically, the area of a sector can be calculated by using this formula:

Area of sector = θr²/2

Where:

r is the radius.θ is the central angle.

Substituting the given parameters into the formula, we have;

Area of sector = 46 × 14²/2

Area of sector = 46 × 196/2

Area of sector = 9016/2

Area of sector = 4,508 cm².

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Investments increase exponentially byabout 26% every 3 years. If you made a$2,000 investment, how much moneywould you have after 45 years?Future Amount = $[?]Hint: Future Amount = (1 + r)(1timeperiodsinitial growth Which of the following would lead the reader to the conclusion that a particular character is immoral? Select all that apply.The character criticizes others for stealing even though they do so themselves.The character steals from a store and remains silent when another is arrested for the theft.The character becomes very upset and remains quiet when wrongfully accused of stealing.The character returns to the store to pay for an item that the cashier forgot to charge them for. what is contact and non-contact force ?define frictional force ,normal reaction force, tension force as applied through string,force exerted by spring, force exerted by during collision, gravitational force , electrostatic force ,magnetic force. Which part if the health triangke deals with managing stress 1st will make brainliestPeople should consider the impact of drones before buying (and flying) one. Think about where you will fly your drone. Theres a difference between flying in close, tight civilization and the wide-open, vast wilderness. Also, some communities have laws regulating drone use. For example, Florida law requires recreational drones to be registered with the Federal Aviation Administration (FAA). Safety should always be of the utmost concern. Flying away from power lines and keeping a respectable distance from people and wildlife will ensure that no one (or no animal) is harmed should the drone operator mistakenly send it in the wrong direction. Drones of the twenty-first century are the Red Ryders of the 1940s. As this device becomes more popular and common, people should take care to be responsible drone operators.Which sentence is evidence in support of the claim that drone users should be responsible?ATheres a difference between flying in close, tight civilization and the wide-open, vast wilderness.BFor example, Florida law requires recreational drones to be registered with the Federal Aviation Administration (FAA).CDrones of the twenty-first century are the Red Ryders of the 1940s.DAs this device becomes more popular and common, people should take care to be responsible drone operators. What is the value of x? (See attached image for details.)Enter your answer in the box.x = BEING TIMED PLEASE HURRY!!The language and history of the Ninth Amendment reveal that the Framers of the Constitution believed that there are additional fundamental rights, protected from government infringement, which exist alongside those fundamental rights specifically mentioned in the first eight constitutional amendments.Concurring opinion,Griswold v. Connecticut,Justice Arthur Goldberg, 1965Use the drop-down menus to complete the sentences.Justice Goldberg uses the ___________ to state that people have _______________rights as well as those stated in the Constitution. The Court used this amendment to argue that _____________ was included in the right to privacy. Use the map below to identify the labeled locations.Marshall IslandsPapua New GuineaIndonesiaHawaiiFrench Polinesia1. A2. B3. C4. D5. E Give the following number in Base 16NO LINKS!!! Which of the following was a factor in the creation of both Buddhism and Jainism?A. Religious nontolerance throughout IndiaB. Geographic isolation of communitiesC. Beliefs that differed from HinduismD. The election of the Dalai Lama Find the sum of all the evennumbers between 23 and 29. Which factor would credit card companies most likely use to determine a applicant's creditworthiness? A. Political ideology B. Number of children C. Occupation and salary D. Race and ethnicity Which countries are not making progress in using nonrenewables and in reducing pollution? what is Math?who ever answer this question I shall mark him as brainiest. According to Romeo who teaches the torches to burn bright in 'Romeo and Juliet'? In 2000, the number of people with a home phone in Indiana was 3,286,000. If the number of home phones have decreasing by 4% each year,how many Hoosiers will have a home phone in 2011? Round to two-decimal places.HoosiersPause test Add. State the sum in simplest form. Question 1 (1 point)Laurey's Pet Emporium purchased equipment on January 1 for $35,000. The equipment will be used for five years, after which the estimatedresidual value will be $2,000. Using straight-line depreciation, what is the depreciation expense for the first year of the asset's life?a$7,000 Question,What is the main purpose of the Declaration of Independence?A. to disguise the real reasons for separation with Great BritainB. to convince people to think about the value of freedomC. to make an official statement of separation from Great BritainD. to describe personal feelings and ideas Which of the following is an advantage of a representative government?*A. political parties have the same platformsB. citizens are able to vote on all issuesC. government agencies make decisions quicklyD. legislators are elected by the people