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2 years ago

14

If one side of a rectangle is increased by 12 and an adjacent side is decreased by 3 a rectangle is formed whose perimeter is 64

. What is the length of the side of the original square

1 answer:

Dima020 [189]2 years ago

8 0

The length of the side of the original square is 7cm

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what is the square root of 98 what is the square root of y to the 6th what is the square root of a to the 7th what is the square

Bogdan [553]

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2 years ago

What is the rate of change for both of these tables. 25 pts

Rudiy27

Answer:

For the table on the left the rate of change is $22.8$

For the table on the left the rate of change is $-2$

Step-by-step explanation:

The range of change is the slope. The slope can be found with the following formula:

$m=\frac{y_2-y_1}{x_2-x_1}$

<u>For the table on the left</u>

Choose two points. In this case you can choose (-1,-24), (4,90)

You can say that:

$y_2=-24\\y_1=90\\\\x_2=-1\\x_1=4$

Substituting these values into the formula, you get:

$m=\frac{-24-90}{-1-4}\\\\m=22.8$

<u>For the table on the right</u>

Choose two points. You can choose (3,-6), (-6,12)

You can identify that:

$y_2=-6\\y_1=12\\\\x_2=3\\x_1=-6$

Substituting these values into the formula, you get:

$m=\frac{-6-12}{3-(-6)}\\\\m=-2$

4 0

2 years ago

Mice21 [21]

Answer:

Option A:

y = 3*(x - 5)^2 - 4

Step-by-step explanation:

For a quadratic equation:

y = a*x^2 + b*x + c

with the vertex (h, k), we can rewrite the function as:

such that:

h = -b/2*a

y = a*(x - h)^2 + k

Here we have the function:

y = 3*x^2 - 30*x + 71

the x-value of the vertex will be:

h = -(-30)/(2*3) = 30/6 = 5

And k is given by:

k = y(5) = 3*(5)^2 - 30*5 + 71 = -4

Then the vertex is:

(5, - 4)

And we can rewrite the equation in the vertex form as:

y = 3*(x - 5)^2 + (-4)

y = 3*(x - 5)^2 - 4

Then the correct option is A.

7 0

3 years ago

Carla is riding a motorcycle across the country. After 4 hours, she is 600 miles from Denver. After 8 hours, she is 320 miles fr

KengaRu [80]

I wanna say 920 but may be wrong

6 0

2 years ago

Read 2 more answers

Solve the following: You purchase a set of Bluetooth earbuds for $45 and use a $5 off manufacturer's coupon. If sales tax is 8.2

xxTIMURxx [149]

Answer:

43.3

Step-by-step explanation:

45-5=40,

0.0825*40=3.3

40+3.3=43.3

4 0

2 years ago