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Dmitry [639]
3 years ago
8

A square has an area of 100 in ^2. What is the perimeter of the square

Mathematics
1 answer:
almond37 [142]3 years ago
6 0
Area of a square is its side length squared...

A=s^2  solving for s...

s=√A

The perimeter of a square is 4 times its side length...

P=4s, and since s=√A

P=4√A, and we are told that A=100 in^2 so

P=4√100

P=4*10

P=40 in
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What is the vertex of the absolute value function defined by ƒ(x) = |x + 2| + 4?
Marrrta [24]

Answer:

C. (-2,4)

Step-by-step explanation:

We have been given a function f(x)=|x+2|+4 and we are asked to find the vertex of our absolute value function.

The rules for the translation of a function are as follows:  

f|x-h|=\text{Graph shifted to right by h units}

f|x+h|=\text{ Graph shifted to left by h units}

f|x|+h=\text{ Graph shifted upward by h units}

f|x|-h=\text{ Graph shifted down by h units}

Upon comparing our absolute function with above transformations we can see that our function is shifted to two units right of the origin(0,0) so x coordinate of our absolute function will be -2.

Our function is shifted upward from origin by 4 units, therefore, y-coordinate of our absolute value function will be 4.

f(x)=|x--2|+4

Therefore, the vertex of our absolute value function will be on point (-2,4) and option C is the correct choice.

4 0
3 years ago
Read 2 more answers
Bring the fraction a/a−4 to a denominator of 16−a^2<br><br> really do appreciate this thx
RSB [31]

Answer:

-a(a+4)/(16 - a²)

Step-by-step explanation:

            a/(a - 4)                  Multiply by (a + 4)/(a + 4)

= a(a + 4)/[(a – 4)(a + 4)]     Multiply the denominatorator terms

= a(a + 4)/(a² - 16)               Multiply by -1/(-1)

= -a(a+4)/(-a² + 16)              Reorder terms in denominator

= -a(a+4)/(16 - a²)

5 0
3 years ago
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topjm [15]

Answer:

x = 2

Step-by-step explanation:

these angles are alternate-interior angles which are congruent

-1 + 38x = 36x + 3

38x = 36x + 4

2x = 4

x = 2

7 0
3 years ago
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