find equation of the line that contains the point (4,-2) and is perpendicular to the line y= _2x+8

Answers

Answer 1

Answer:

y = 1/2x - 4

Step-by-step explanation:

If two lines are perpendicular to each other, they have opposite slopes.

The first line is y = -2x + 8. Its slope is -2. A line perpendicular to this one will  have a slope of 1/2.

Plug this value (1/2) into your standard point-slope equation of y = mx + b.

y = 1/2x + b

To find b, we want to plug in a value that we know is on this line: in this case, it is (4, -2). Plug in the x and y values into the x and y of the standard equation.

-2 = 1/2(4) + b

To find b, multiply the slope and the input of x (4)

-2 = 2 + b

Now, subtract 2 from both sides to isolate b.

-4 = b

Plug this into your standard equation.

y = 1/2x - 4

This equation is perpendicular to your given equation (y = -2x + 8) and contains point (4, -2)

Hope this helps!

Answer 2

9514 1404 393

Answer:

  y = 1/2x -4

Step-by-step explanation:

We presume the given line is ...

  y = -2x +8

This is in slope-intercept form, which allows us to determine easily that the slope of this line is -2.

A perpendicular line will have a slope that is the opposite reciprocal of -2:

  m = -1/(-2) = 1/2

The y-intercept of the desired line can be found from the point (x, y) = (4, -2) using the equation ...

  b = y - mx

  b = -2 -(1/2)(4) = -4

Now, we know the slope and y-intercept of the desired perpendicular line through (4, -2), so we can write its equation as ...

  y = 1/2x -4

__

Additional comment

"Slope-intercept form" is ...

  y = mx + b . . . . . . where m is the slope and b is the y-intercept

Find Equation Of The Line That Contains The Point (4,-2) And Is Perpendicular To The Line Y= _2x+8

Related Questions

do yallll thingggggggg :)

Answers

Answer:

B.

Step-by-step explanation:

PLZ HELP WILL MARK BRAINLEST

A cylinder has a height of 8 feet and a volume of 628 cubic feet. Find the radius of the cylinder. Use 3.14 for π. Show your work. equation v= 3.14 ( ) ( ) ( )

Answers

Answer:

5ft

Step-by-step explanation:

r = √v/πh

plug in known values

r= √628/ (3.14) 8

simplify

r= √628/ 25.12

r= √25

r = 5ft

What is 0.73 as a percent?

Answers

Answer:

73%

Step-by-step explanation:

Answer:

73 percent

Step-by-step explanation:

Its because 1.00 would be 100 percent and .50 would be 50 percent so .73 would be 73 percent

Michelle has a bank account balance of $184. She deposits $38 and then spends $45 when she goes shopping.​ How is the amount of money Michelle spent shopping represented?
A. -45
B. -38
C. 38
D. 45

Answers

Answer:

A. -45

Step-by-step explanation:

We know that Michelle has a bank account of one hundred eighty four dollars, she then deposits thirty eight into her account, then goes shopping. Spending forty-five dollars. We are then asked the amount of money she spent being represented.

Our keyword is "spent" and "fourty-five". Why? Because these determine how much money is being taken away or added.

Since we know that spending money is decreasing the amount you have, then we would need a negative sign, and since we also know the amount she spended on is forty-five, that leads us to our answer being A. -45

Answer:

-45

Step-by-step explanation:

She uses $45 when she goes shopping so she is reducing her bank balance.

15. Which graph shows - 3x + y = 8

first question

Answers

Answer:

Im sorry but i can't read it

Step-by-step explanation:

Gloria draws these figures and lines of symmetry
Which figure shows an incorrect line of symmetry?
A. Figure A
B. Figure B
C. Figure C
D. Figure D

look in the photo + no links!!

Answers

Answer:

figure c

Step-by-step explanation:

there is an uneven line at the top with the half circle

Find the degree of this polynomial. –s5 − 4s3 + 4s2 + 5s

Answers

Answer:

Can you picture the question?

The average length of a flight by regional airlines in the United States has been reported as 464 miles. If a simple random sample of 30 flights by regional airlines were to have a mean of 476.9 miles and a standard deviation of 42.8 miles, what would be the test statistics (t-value) if we are to test whether this tend to cast doubt on the reported average of 464 miles or not

Answers

Answer:

The t-value is t = 1.65.

Step-by-step explanation:

The test statistic is:

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

The average length of a flight by regional airlines in the United States has been reported as 464 miles.

This means that the null hypothesis is [tex]H_{0}: \mu = 464[/tex].

Simple random sample of 30 flights by regional airlines were to have a mean of 476.9 miles and a standard deviation of 42.8 miles

This means that [tex]n = 30, X = 476.9, s = 42.8[/tex]. So

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{476.9 - 464}{\frac{42.8}{\sqrt{30}}}[/tex]

[tex]t = 1.65[/tex]

The t-value is t = 1.65.

someone please help me answer this!!

Answers

Answer:

-5 63/100

Step-by-step explanation:

Which of the following values of f are solutions to the inequality below?
​Select all that apply.

Answers

Answer:

-4 is your answer

Step-by-step explanation:

Help! I NEED THIS DONE BY 8:50

Answers

The answer is 28°

Since the sum of all angles of a triangle is 180°
Then 23°+129°+x=180°
So 23°+129°= 152°

So, 152°+x=180°

Now to find x, you will take 152 to the other side of the equal sign so it will become

X= 180°-152°
X=28°

Answer:

x = 28

Step-by-step explanation:

Properties of a triangle:

Triangles have 3 sidesThe sum of a triangle's interior angles will always be equal to 180°.

Because we need the value of the triangle's interior angle, use the following formula to solve for x:

180 - x - y = zSince x and y are given, solve for z.180 - 129 - 23 = z28 = zz is the missing value, so for your problem, z is x.x = 28


What is the area???

Answers

Answer:

0.833333333 or 83/100 mi squared

Step-by-step explanation:

a = b x h / 2

Answer:

0.333

Step-by-step explanation:

Plz help me ASAP no bots plz

Answers

Answer:

...

Step-by-step explanation:

the vertex is (-1 , 0)

false

true

the domain is R (all real numbers) ( -♾, +♾ )

the range is negative infinity -♾

I need help with this question what do I but in the blank for the last number

Answers

Answer:

13 cm

Step-by-step explanation:

use pythagorean theorem

This lesson asked you to investigate what it means for data to fall within 1, 2, and 3 standard deviations from the mean in a variety of normal distribution curves. Imagine that you hold a position on your city council and are in charge of creating new programs to benefit members of your community. In some cases, you must also decide which parts of the population are eligible for enrollment in a given program. How might the concept of standard deviations from the mean be interpreted in your decisions? For example, is it fair to make most programs only available to populations within 1 standard deviation from the mean? Can you imagine cases where you might want to create new programs for people who fall toward the extreme ends of the distribution? Give your opinion as well as some examples. ​

Answers

Answer:

The data in statistics is generally supposed to deviate or vary from the mean. Standard deviations of 1, 2, and 3 are commonly used to calculate variability according to the empirical norm. In a normal distribution, we estimate 68 percent, 95 percent, and 98 percent of the data to be within 1, 2, and 3 standard deviations of the mean, respectively. This implies that the given percentage of data will lie within an interval of less than or greater than the standard deviation. If the values within a given standard deviation from the mean are standardized, the z value will always be equal to or less than the given standard deviation.

We should look at a program that aims to help people get out of poverty by using the standard deviation principle. The aim of the program is to provide free seeds to poor people who have been suffering from low yields due to the use of local seeds. If we use the definition of one standard deviation of the mean, or 2 and 3, we will favor the majority of people, but we will leave the poorest people in society behind.

Find the area in square inches of the figure shown.

Answers

Answer:

8 * 17 = 136

39 * 36 = 1404

1482 + 136 = 1540

Step-by-step explanation:

The area of the figure is 330 inches²

What is a Triangle?

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

Given data ,

Let the figure be composed of two different right angled triangles

Now ,  Let the first triangle be ΔABC

Let the second triangle be ΔBCD

Length of first triangle = 36 inches

Base of second triangle = 8 inches

Since the base of the first triangle is equal to the length of the second triangle ,

From the Pythagoras Theorem , The hypotenuse² = base² + height²

On simplifying the equation , we get

base² = hypotenuse² - height²

BC² = 17² - 8²

BC² = 289 - 64

BC² = 225

Taking square roots on both sides , we get

BC = 15 inches

Therefore , the base of the first triangle and the length of the second triangle is 15 inches

Now , to find the area

Total area of figure = Area of first Triangle + Area of second triangle

The area of the triangle = ( 1/2 ) x Length x Base

Total area of figure = ( 1/2 ) x ( 36 x 15 ) + ( 1/2 ) x ( 15 x 8 )

                                = ( 1/2 ) x 540 + ( 1/2 ) x 120

                                = 270 + 60

                                = 330 inches²

Therefore , the value is 330 inches²

Hence , The area of the figure is 330 inches²

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Please i need help for all of them!!​

Answers

Answer:

1) x=65

2) x= 70

3) x= 40

4) x= 131

5) x= 75

6) x= 49

7) x= -12

8) x= 42

hasann please help me

Answers

Don’t believe the link^

Answer:

The length and width and height is already given.

Length is: 3 1/2

Width is: 1 1/2

Height is: 2 1/2

The volume of this would be all given lengths multiplied.

Whenever you find an area of a 3 dimensional shape you always multiply the given lengths so: 3 1/2 x 1 1/2 x 2 1/2 = 13 1/8 cm3

Find the product of (x − 3)2.

Answers

Answer:2x-6

Step-by-step explanation:

simplify the expression

2x-6

Answer:

2x - 6

Step-by-step explanation:

(x − 3)2

2 · x = 2x

2 · (-3) = -6

Combined:

2x - 6

Rick wants to buy a tool set with original price $115. Next week the tool set will be on sale for 40% off. Find the sale price.
$

Answers

Answer:

$69

Step-by-step explanation:

$115 x 0.4 = $46 discount

$115 - 46 = $69

Answer:

$69

Step-by-step explanation:

115/100=1.15

1.15(40)=46

115-46=69

Hope this helps

CAN SOMEONE PLEASE HELP ME?
The three sides of a triangle are n, 3n+2, and 2n+10. If the perimeter of the triangle is 48m, what is the length of each side?

Answers

I believe to the my mathematical formula that the answer should be 6.3 due to the fact that 48/2 is 24

Answer:

the sides are 6, 20, and 22

Step-by-step explanation:

n + 3n + 2 + 2n + 10 = 48

combine like terms:

6n + 12 = 48

subtract 12 from each side of th equation:

6n = 36

divide both sides by 6:

n = 6

the sides are 6, 20, and 22

Reduce 65 in ratio 5:2

Answers

Answer: [tex]46.42:18.57[/tex]

Step-by-step explanation:

[tex]5+2 = 765/7 × 5 = 46.4265/7 × 2 = 18.57∴ 65 in the ratio 5:2 = 46.42:18.57x^{2}[/tex]

The solution is 46.42857 : 18.57143

The proportion equation is given by 46.42857 : 18.57143 and

46.42857 + 18.5714365 = 65

What is Proportion?

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

The proportional equation is given as y ∝ x

And , y = kx where k is the proportionality constant

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given data ,

Let the number be represented as N

The value of N = 65

The proportion is 5 : 2

The total value of the ratio = 5 + 2 = 7

So , each value of the proportion is x = 65 / 7

On simplifying the equation , we get

Each value of the proportion is x = 9.2857142857

Now , the proportion equation is given by

The value of 5x = 5 ( 9.2857142857 )

The value of 5x = 46.42857

The value of 2x = 2 ( 9.2857142857 )

The value of 2x = 18.57143

And , 46.42857 + 18.5714365 = 65

Hence , the proportion is 46.42857 : 18.57143 or 5 : 2

To learn more about proportion click :

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please help anyone PLSSSSS with my questions anyone can help me and plsss no links and pls with whole procedure pls

Answers

Answer:

In my sketch the angle between their flights is 135°

So wouldn't we just have the cosine law??

x^2 = 120^2 + 150^2 - 2(120)(150)cos135°

carry on, take care with the cos135, since it will be negative


Find the area of the figure shown below and choose the appropriate results



A 60 cm
B 66 cm
C 72 cm
D 96 cm

Answers

Answer:

sorry if im rong but im prety sure its d

Step-by-step explanation:

Answer:

Step-by-step explanation:

d

Which of the following statements is (are) correct?
I. At 6% interest, the present value of $400 for the first year, $600 for the second year, and $800 for the third year is $1,603.
II. The future value of the following mixed cash flow stream (if it is from an annuity due at 6% interest) $400 for the first year, $600 for the second year, and $800 for the third year is $1,999 (rounded).

Answers

Answer:

None OF THE STATEMENTS ARE CORRECT

Step-by-step explanation:

Present value is the sum of discounted cash flows

Present value can be calculated using a financial calculator

Cash flow in year 1 = $400

Cash flow in year 2 = $600

Cash flow in year 3 = $800

I = 6%

PV = 1,583.05

The formula for calculating future value:

FV = P (1 + r)^n

FV = Future value  

P = Present value  

R = interest rate  

N = number of years

1583.05 x (1.06)^3 = $1885.44

None of the statements are correct based on the above calculations

To find the PV using a financial calculator:

1. Input the cash flow values by pressing the CF button. After inputting the value, press enter and the arrow facing a downward direction.

2. after inputting all the cash flows, press the NPV button, input the value for I, press enter and the arrow facing a downward direction.  

3. Press compute  

Simplify the expression
4p−5(p+6)

Please help, thank you :)

Answers

Answer:

-p - 30

Step-by-step explanation:

Hope this helps

Answer:

-p-30

Step-by-step explanation:

4p-5(p+6) Distribute -4 to p and 6

4p-5p-30 simplify by adding the p variables

-p-30

- 63 y^5
27y^7
- 18y^9
Take out the common factor ​

Answers

Answer:

[tex]Factor = 9y^5[/tex]

Step-by-step explanation:

Given

- 63 y^5  , 27y^7  and 18y^9

Required

Remove the common factor

Factorize each expression:

[tex]- 63 y^5 = -3*3*7*y*y*y*y*y[/tex]

[tex]27y^7 = 3 * 3 * y * y * y * y * y * y * y[/tex]

[tex]-18y^9 =-2 * 3 * 3 * y * y * y * y * y * y * y * y * y[/tex]

The common factor in the above expression is:

[tex]Factor = 3 * 3 * y*y*y*y*y[/tex]

[tex]Factor = 9y^5[/tex]

A pet rescue center takes in animals from a local shelter. Half of the animals that they take in are cats.
Let a = the total number of animals.
Let c = the number of cats.
Complete the table to show the number of cats, c, that are taken in by the pet rescue when a animals are taken in.


Answers

Answer:

1st answer =10

2nd answer=4

3rd answer=12

4th answer=8

The function f(x) is a quartic function and the zeros of f(x) are -4,-3,2 and 5. Assume the leading coefficient of f(x) is 1. Write the equation of the quartic polynomial in standard form

Answers

Answer:
f(x) = x⁴-6x³-13x²+66x+72
Step-by-step explanation:
Factors are: (x+3)(x+1)(x-4)(x-6)
[(x+3)(x+1)][(x-4)(x-6)]
[x²+3x+x+3][x²-4x-6x+24]
(x²+4x+3)(x²-10x+24)
x⁴+4x³+3x²-10x³-40x²-30x+24x²+96x+72
f(x) = x⁴-6x³-13x²+66x+72

The equation of the quartic polynomial in standard form is,

⇒ f (x) = x⁴ - 27x² - 14x + 120

What is Quadratic equation?

An algebraic equation with the second degree of the variable is called an Quadratic equation.

We have to given that;'

The function f(x) is a quartic function and the zeros of f(x) are -4,-3,2 and 5.

And, the leading coefficient of f(x) is 1.

Hence, We get;

The equation of the quartic polynomial in standard form is,

⇒ f (x) = 1 (x - (- 4)) (x - (- 3)) (x - 2) (x - 5)

⇒ f (x) = (x + 4) (x + 3) (x - 2) (x - 5)

⇒ f (x) = (x² + 7x + 12) (x² - 7x + 10)

⇒ f (x) = x⁴ - 7x³ + 10x² + 7x³ - 49x² + 70x + 12x² - 84x + 120

⇒ f (x) = x⁴ - 27x² - 14x + 120

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Find the area. Simplify your answer.

Answers

Answer:

Area = 6x - 6

Step-by-step explanation:

Given:

Height = 2x - 2

Base = 6

Required:

Area

Solution:

Area of triangle = ½*b*h

Area of the triangle = ½*6*(2x - 2)

Area = 3(2x - 2)

Apply distributive property

Area = 6x - 6

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