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Vadim26 [7]
2 years ago
14

The perimeter of the first rectangle below is 120 inches. The perimeter of the second rectangle is 180 inches. What are the valu

es of x and v?
A. x = 6; v = 42
B. x = 13; v = 42
C. x = 42; v = 6
D. x = 48; v = 28

Mathematics
2 answers:
8_murik_8 [283]2 years ago
5 0

Answer:

A

Step-by-step explanation:

gladu [14]2 years ago
5 0

Answer:

A. x = 6; v = 42

Step-by-step explanation:

Strategy : Guess and Check

Let's start with A:

If x = 6, then the first rectangle would be 12 + 42 + 6  + 12 + 42 + 6 = 120

Let's see if this checks out with the second rectangle.

6 + 42 + 42 +  6 + 42 + 42 = 180

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3 years ago
The function y = x 2 - 10x + 31 has a ____
katrin [286]

Answer:

Option B. minimum is correct for the first blank

Option C. 6 is correct for second blank.

Step-by-step explanation:

In order to find the maxima or minima of a function, we have to take the first derivative and then put it equal to zero to find the critical values.

Given function is:

f(x) = x^2-10x+31

Taking first derivative

f'(x) = 2x-10

Now the first derivative has to be put equal to zero to find the critical value

2x-10 = 0\\2x = 10\\x = \frac{10}{2} = 5

The function has only one critical value which is 5.

Taking 2nd derivative

f''(x) =2

f''(5) = 2

As the value of 2nd derivative is positive for the critical value 5, this means that the function has a minimum value at x = 5

The value can be found out by putting x=5 in the function

f(5) = (5)^2-10(5)+31\\=25-50+31\\=6

Hence,

<u>The function y = x 2 - 10x + 31 has a minimum  value of 6</u>

Hence,

Option B. minimum is correct for the first blank

Option C. 6 is correct for second blank.

8 0
3 years ago
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Answer:

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I am just completely lost and am unsure of how to approach this problem.
Anastasy [175]

Answer:

68°

Step-by-step explanation:

As BA⊥BD, so ∠ABD = 90°

also, ∠ABD = ∠CBD + ∠ABC

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now,

∠CBD = 4x + 52°

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          = 68°

5 0
3 years ago
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