7. Miguel draws a square on a coordinate plane. One vertex is located at (5, 4). The
length of each side is 3 units. Circle the letter by all the ordered pairs that could be
another vertex.
A. (5, 1)
B. (5, 7)
C. (7, 8)
D. (2, 6)
E. (2, 1)

Answer:

36

Step-by-step explanation:

when solving for two variables, we need to find one variable in terms of the other.

so, we can turn:

x - y = 5

into

x - y = 5

  + y    + y

x = y + 5

Then, we can substitute "x" in the given equation with "y + 5"

  x² - y² = 30

 (y+5)² - y² = 30

(y + 5)(y + 5)

F: y²    O:  +5y    I:   +5y  L:  25   {foil}

y² + 10y + 25 - y² = 30          {cancel y² - y²}

10y + 25 = 30

      -25      -25

10y  = 5

÷10    ÷10

y = 0.5

x = y + 5

x = 0.5 + 5

x = 5.5

check:

(5.5)² - (0.5)²

30.25  - 0.25 = 30

30 = 30

(TRUE)

now, we must find the value of:

(5.5 + 0.5)²

= (6)²

= 36

So, the value of (x + y)² is found to be 36

hope this helps!!

Answer:

(x + y)² = 36

Step-by-step explanation:

x² - y² ← is a difference of squares and factors as

(x - y)(x + y) , then

5(x + y) = x² - y² = 30 ( divide both sides by 5 )

(x + y) = 6 , then

(x + y)² = 6² = 36

Answer:

x≥20

Step-by-step explanation:

-3(6-2x)≥4x+12

or, -18+6x≥4x+12

or, -18-12≥4x-6x

or, -40≥-2x

or, -40/2≥-x

or, -20≥-x

or, 20≥x

= x≥20

Answer:

m= –4

So, you only need to of the points to find the slope, why not choosing the first two:

[tex]m = \frac{y2 - y1}{x2 - x1} = = = > \\ m = \frac{12 - 8}{ - 3 - ( - 2)} = = = > \\ m = \frac{4}{ - 1} = - 4[/tex]

so basically, this is the slope your looking for

Answer:

(a) 2.5

Step-by-step explanation:

(a) Since y is directly proportional to x we can write y and x in terms of the following equation:

y = cx where c is a constant
and c = y/x ...(1)
or,

x = y/c ...(2)

For (a)
y = 8 when x = 2 ==> c = y/x = 8/2 =4 from (1)

From (2) we get x = 10/4 = 2.5

The other questions can be solved in a similar fashion

Answer:

the answer is just 6

Step-by-step explanation:

Answer:

Step-by-step explanation:

An absolute value of a number is written like this | x |, where x could be any number that you want.

The absolute value is a math function that counts from your given number to 0.

Example: If you put the number 3, the function will count from 3 to 0, and the number will be 3.

| 3 | = 3

If you input the number 8, from 8 to 0 are 8 numbers. So, the output's function will be 8.

| 8 | = 8

If you input a negative number, for example, -6, the function will do the same thing. It will count from -6 to 0. From -6 to 0, are 6 numbers.

| -6 | = 6

Any number that you input in this function, will always output the same number, but positive

| -10 | = 10

| -46348 | = 46348

Hope I helped !

Answer:

no solutions

Step-by-step explanation:

we use the quadratic formula.

for an equation ax²+bx+c=0, the solutions for x are:

x = (-b±sqrt(b²-4ac))/2a

in our case, a=2, b=-6 and c=5, so:

x= (6±sqrt(36-40))/4

we see that we get a negative number inside the sqrt, so we have no real solutions

Answer:

No solution

Step-by-step explanation:

1) Use the quadratic formula

[tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]

Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.

[tex]2x^2-6x+5=0[/tex]

[tex]a=2\\b=-6\\c=5[/tex]

[tex]x=\frac{-(-6)\pm\sqrt{(-6)^2-4*2*5} }{2*2}[/tex]

2) Simplify

Evaluate the exponent:

[tex]x=\frac{6\pm\sqrt{(-6)^2-4*2*5} }{2*2}[/tex]

[tex]x=\frac{6\pm\sqrt{36-4*2*5} }{2*2}[/tex]

Multiply the numbers:

[tex]x=\frac{6\pm\sqrt{36-4*2*5} }{2*2}[/tex]

[tex]x=\frac{6\pm\sqrt{36-40} }{2*2}[/tex]

Subtract the numbers:

[tex]x=\frac{6\pm\sqrt{36-40} }{2*2}[/tex]

[tex]x=\frac{6\pm\sqrt{-4} }{2*2}[/tex]

Multiply the numbers

[tex]x=\frac{6\pm\sqrt{-4} }{2*2}[/tex]

[tex]x=\frac{6\pm\sqrt{-4} }{4}[/tex]

3) No real solutions because the discriminant is negative

The square root of a negative number is not a real number

[tex]d=-4[/tex]

Result

No solution

Answer: A. 10.8 km

Step-by-step explanation:

add up all the days:

1.3 + 1.75 + 2.25 + 2.5 + 3 = 10.8 km

Using the t-distribution, the 95% confidence interval of the population mean rating for Miami is (4.97, 6.51).

The confidence interval is:

[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]

In which:

The parameters for this problem are given as follows:

[tex]\overline{x} = 5.74, s = 2.7, n = 50[/tex]

The critical value, using a t-distribution calculator, for a two-tailed 95% confidence interval, with 50 - 1 = 49 df, is t = 2.0096.

Hence the bounds of the interval are given as follows:

[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 5.74 - 2.0096\frac{2.7}{\sqrt{50}} = 4.97[/tex]

[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 5.74 + 2.0096\frac{2.7}{\sqrt{50}} = 6.51[/tex]

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Answer:

A parallelepiped has three sets of four parallel edges; the edges within each set are of equal length. Parallelepipeds result from linear transformations of a cube (for the non-degenerate cases: the bijective linear transformations).

Step-by-step explanation:

A parallelepiped focuses on three-dimensional figures formed by six parallelograms.

A parallelepiped shape has the following features

Think of a cube or a cuboid.

Notice that they contain squares and rectangles

A parallelepiped is to a parallelogram as a square is to a cube and a rectangle to a cuboid

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The number of pieces that Marco places is given as follows:

30 pieces.

The number of pieces that Marco places is obtained applying the proportions in the context of the problem.

The fractions of each person are given as follows:

Hence the fraction composed by these three people is given as follows:

1/2 + 1/5 = (5 + 2)/10 = 7/10 = 0.7.

Hence Michele's fraction is given as follows:

1 - 0.7 = 0.3.

As Michele arranges 90 pieces, the total number of pieces is given as follows:

0.3x = 90

x = 90/0.3

x = 300.

Marco arranged one tenth, hence the number is:

0.1 x 300 = 30.

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It is clear that T lies on the perpendicular bisector of NP. See the explanation below.

Given that M (X,Y) is the midpoint of NP

X thus = (5+1)/2

= 3

Y = (7+1)/2

= 4

Hence, we have M (3,4)

Consequent on the above:

Slope TM (m') = (4-2) / (3-6) = - 2/3

Slope of NP (m) =  (7-1) / (5-1) = 6/4 = 3/2
M' = -1/m

Hence

TM ⊥ NP; and NP ⊥ TM

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Answer:

P=3.5

P=2.667

Step-by-step explanation:

p=f/a

P=70/20

P=3.5

then f is increased by 10

f=70+10=80

and a is increased by 10

a=20+10

a=30

therefore; P=f/a

P=80/30

P=2.667

The answer for the exponential expressions 1,2,3 and 4 will be [tex]4.5,\frac{1}{2},2,1[/tex] respectively.

Exponential notation is a type of mathematical shorthand that allows us to write complex formulas in a more concise manner.

The basis of an exponent is a number or letter. It means that the base will be raised to a given level of power. The base is X, and the power is n.

The properties of the exponent used;

[tex]\rm m^a \times m^b = m^{a+b} \\\\ m^a \times n^a = {mn}^a \\\\ m^a \times m^b = m^{a-b} \\\\ m^0 = 1[/tex]

Expression 1;

[tex]\frac{(2.3^{-2})^2(5.3^2.2)^2}{(3)^-2(5.2)^2} \\\\ \frac{2^3.3^{-6}.5^2.3^6}{3^{-2}.5^2.2^2} \\\\ 4.5[/tex]

Expression 2;

[tex](3^3)(4^0)(3.2)^{-3}(2)^2 \\\\ 3^3.1.3^{-3}.2^{-3}.2^2 \\\\ \frac{1}{2}[/tex]

Expression 3;

[tex]\frac{(3^7.4^7)(2.5)^{-3}(5)^2}{12^7.5^{-1}.2^{-4}} \\\\ \frac{3^7.4^7.25^{-3}.5^{-3}.5^2}{12^7.5^{-1}2^{-4}} \\\\ 2[/tex]

Expression 4;

[tex]\frac{(2.3)^{-1}.2^0}{(2.3)^{-1}}\\\\ \frac{2^{-1}.3^{-1}.1}{2.3}\\\\ 1[/tex]

Hence, the answer for the exponential expressions 1,2,3, and 4 will be [tex]4.5,\frac{1}{2},2,1[/tex] respectively.

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In order to make point D as the vertex in the construction as triangle ABC, the third arc should cross the second arc.

In Geometry, an arc can be defined as a trajectory that is generally formed when the distance from a given point has a fixed numerical value.

In order to make point D as the vertex in the construction as triangle ABC, you must ensure that the third arc crosses the second arc as illustrated in image attached below.

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Answer: The third arc should cross the second arc.

Step-by-step explanation: The guy above me clearly stated it, just wanted to clear up that he is correct :)

The probability she chooses a number greater than 5 will be 1/2 or 0.5.

Its simple notion is that something will most likely occur. The favorable event's proportion to the overall number of occurrences.

Probability = (Favorable event) / (Total event)

Eleanor randomly decides a number from 1 to 10.

Then the probability she chooses a number greater than 5 will be

Total event = 10

Favorable event = 5 {6, 7, 8, 9, 10}

Then we have

P = 5/10

P = 1/2

P = 0.5

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Answer:

angle PHI

Step-by-step explanation:

Using the alternate interior angle theorem, we can figure out that PHI is congruent to PKJ

The equation which is used to model this function is y = 25x.

An equation is a mathematical expression that contains an equals symbol. Equations often contain algebra.

Given:

x=2 , y=50

x=4, y=100

As, corresponding to x =2 , y =50

For x=1 , y=25

Hence, the equation which is used to model this function is y = 25x.

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Answer:

(5,-5)

x=5

y=-5

Step-by-step explanation:

How to solve using elimination method.

First, add the two equations.

   2x - 3y = 25

+  5x + 3y = 10

7x=35

The y values got eliminated.

Next, divide 7 from both sides.

7x/7=35/7

x=5

Next, plug-in x=5 into one of the equations.

2(5) - 3y = 25

10-3y=25

Subtract 10 from both sides.

-3y=15

Divide -3 from both sides.

y=-5

Remember a positive divided by a negative is a negative.

Hope this helps!

If not, I am sorry.

The value of expression is 7.

An expression is a combination of numbers, variables, functions (such as addition, subtraction, multiplication or division etc.)

Given:

[tex]log 10^{7}[/tex]

Now, using property of log

[tex]log b^{a} =[/tex] a log b

So,

[tex]log 10^{7}[/tex]= 7 log 10

As log 10 = 1

[tex]log 10^{7}[/tex]= 7 (1)

[tex]log 10^{7}[/tex]= 7

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Answer:

h

Step-by-step explanation:

h

The indicated function values are f(0) = 2 and x = -1

The attached figure represents the missing piece in the question

From the attached figure, the function values to calculate are:

f(x) when x = 0 and x when f(x) = 0

From the figure, the graph crosses the y-axis at y = 2 and the x-axis at x = -1

This means that:

f(0) = 2 and f(-1) = 0

Hence, the indicated function values are f(0) = 2 and x = -1

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Answer:

C) 10320-0.961 = 7,507 Mt

that is my answer please have a great day

Answer:

17x

Step-by-step explanation:

3x+4+4x+4+3x-4+3x-4+4x

Collect liketerms

Answer:

would love to help but what  are the statements?

The regular price of the camera is $227.

Given that, the total amount paid=$201.75 and the cost of the memory card=$12.35.

Cost of camera=201.75-12.35=$189.4

A discount is a deduction from the usual price of something. To discount means to deduct an amount from the price.

Discount is given to the camera=20%.

The regular price of the camera=189.4+20% of 189.4

=189.4+0.2×189.4=189.4+37.88=$227.28

The estimation to the nearest the whole number is $227.

Therefore, the regular price of the camera is $227.

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answer

yes do it your self

Step-by-step explanation:

4.500 mm³ → cm³

1 cm³ = 1.000 mm³

= 4.500 ÷ 1.000

= 4,5 cm³ IS THE ANSWER

Answer:

y = ± [ √(x+4) ] / 3

Step-by-step explanation:

1) To find the inverse of the function y = 9x2 – 4, exchange the variables x and y, and then solve for the new y.

2) Exchange of the variables: y = 9x^2 – 4 → x = 9y^2 – 4

3) Solve for y:

=> 9y^2 = x + 4

=> y^2=> y = ± [ √(x + 4) ] / 9

= > y = ± [ √(x + 4) ] / 3