Trapezoid RSTU with vertices R(-5, 15), S(0, 10), T(-5, 5) and U(-15, 5): scale factor = 1/5, centered at the origin

Find the solution of the system of equations. – 5 - 6y = -32 4x - 6y = 4

amid [387]

Equation (1)

$-5 - 6y = -32$

Equation (2)

$4x - 6y = 4$

Get y alone in equation (1)

$-5 - 6y = - 32\\-6y = -32 + 5\\-6y = -27\\y = \frac{-27}{-6} = \frac{9}{2}$

Insert y in equation (2)

$4x - 6 \cdot \frac{9}{2} = 4\\4x - 27 = 4\\4x = 4 + 27\\4x = 31\\x = \frac{31}{4}$

8 0

3 years ago

Round to the place value of the underlined digit 862,840 underlined 6

omeli [17]

Answer:

900,000

Step-by-step explanation:

there you go bud

4 0

3 years ago

Find the Two Values that x can have if X^2 -10=26

Zolol [24]

Answer:

x1= -6 x2=6

Step-by-step explanation:

x^2-10 = 26

x^2 = 26 +10

x^2 = 36

x = sqrt(36)

x = -6 or x = 6 because both 6 and -6 squared are equal to 36

3 0

2 years ago

Read 2 more answers

Tomas is finding the coordinates of point A. He knows that point A has an x-coordinate of 8. He starts to compute the value of t

Contact [7]

The complete question is

"Tomas is finding the coordinates of point A. He knows that point A has an x-coordinate of 8. He starts to compute the value of the y-coordinate. Complete Tomas’s work to answer the question.

Which is the coordinate of point A? (8, –6) (–6, 8) (6, –8) (–8, –6)"

<h3>How to find the coordinates?</h3>

The order can be written as, (x,y).

Tomas is trying to find the coordinates of point A.

x- coordinate of Point A is given as 8.

Among the four given options, only option A has x, coordinate as 8.

So, Coordinate of Point A = (8, -6).

Hence, the correct Option is A (8, -6).

Learn more about Coordinate ;

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7 0

2 years ago

Two years ago, Sally had 5,000 dogs in her dog shelter. Now she has 24,575 dogs. What is the

vodomira [7]

Two years ago, Sally had 5,000 dogs in her dog shelter. Now she has 24,575 dogs. The rate of change is 391.5 % increase

<em><u>Solution:</u></em>

Given that Two years ago, Sally had 5,000 dogs in her dog shelter

Now she has 24,575 dogs

To find: rate of change

A rate of change is a rate that describes how one quantity changes in relation to another quantity

<h3><u>Steps to follow:</u></h3>

First: work out the difference (increase) between the two numbers you are comparing.

Increase = New Number - Original Number.

Then: divide the increase by the original number and multiply the answer by 100.

% change = Increase ÷ Original Number x 100

$\text {rate of change }=\frac{\text { new value }-\text {original value}}{\text {original value}} \times 100$

$\begin{array}{l}{\text { rate of change }=\frac{24,575-5000}{5000} \times 100} \\\\ {\text { rate of change }=\frac{19575}{5000} \times 100=391.5}\end{array}$

Thus the rate of change is 391.5 % increase

5 0

3 years ago