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sveticcg [70]
3 years ago
7

The area of a square in square feet is represented by z^(2)+12z+36. Find an expression for a side length of the square.

Mathematics
1 answer:
Gnoma [55]3 years ago
5 0

Answer:

Side is equal to (z+6) feet.

Step-by-step explanation:

A square is a four sided polygon in which all sides are equal, diagonals are equal and each angle is equal to 90°

Area of a square = side × side

Area of a square =z^2+12z+36

Here, write 12z=6z+6z

Therefore,

Area of a square =z^2+6z+6z+36

=z(z+6)+6(z+6)

=(z+6)^2 square feet

So,

side × side =(z+6)^2

This implies side is equal to (z+6) feet.

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5.
Dovator [93]

Answer:

63 cm

Step-by-step explanation:

piece 1: x

piece 2: x - 18

First you would subtract 2x - 18 = 108

Second you would add 108 + 18 = 2x

Third you would divide 126 divided by 2x = 63

So that would mean x = 63

5 0
3 years ago
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S.O.S GUYS I NEED HELP PLEASE ANSWER QUICK!
Aleonysh [2.5K]

Answer:

8

Step-by-step explanation:

72 divided by 9 is 8

3 0
3 years ago
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Whats the answer to -3/4=x-6
just olya [345]

<em>Answer:</em>

<em>x = 21/4</em>

<em>x = 5  1/4</em>

<em>Step-by-step explanation:</em>

<em>Hi there !</em>

<em>- 3/4 = x - 6</em>

<em>- 3 = 4(x - 6)</em>

<em>- 3 = 4x - 24</em>

<em>4x = 24 - 3</em>

<em>4x = 21</em>

<em>x = 21/4</em>

<em>x = 5  1/4</em>

<em>Good luck !</em>

5 0
3 years ago
12 points and brainliest pls and thank you ! (no unknown links or ill report u and ur whole acc)
lorasvet [3.4K]

Answer:

13

cuz one of those square part = to 90 degrease

so 77 degrease is already shown so minus 90-77

and u get 14

6 0
2 years ago
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Given the function () = $
elena-s [515]

The inverse of the function f(x) = 1/3x^2 - 3x + 5 is  f-1(x) = 9/2 + √[3(x + 7/4)], the sum of the arithmetic series is 1078 and the common ratio of the sequence is 2

<h3>The inverse of the function?</h3>

The function is given as:

f(x) = 1/3x^2 - 3x + 5

Next, we rewrite the function as in vertex form

Using a graphing calculator, the vertex form of the function f(x) = 1/3x^2 - 3x + 5 is

f(x) = 1/3(x - 9/2)^2 - 7/4

Express f(x) as y

y = 1/3(x - 9/2)^2 - 7/4


Swap x and y

x = 1/3(y - 9/2)^2 - 7/4

Add 7/4 to both sides

1/3(y - 9/2)^2 = x + 7/4

Multiply through  by 3

(y - 9/2)^2 = 3(x + 7/4)

Take the square root of both sides

y - 9/2 = √[3(x + 7/4)]

Add 9/2 to both sides

y = 9/2 + √[3(x + 7/4)]

Rewrite as an inverse function

f-1(x) = 9/2 + √[3(x + 7/4)]

<h3>Sum of arithmetic series</h3>

Here, we have:

5 + 18 + 31 + 44 + ... 161

Calculate the number of terms using:

L = a + (n -1)d

So, we have:

161 = 5 + (n - 1) * 13

This gives

(n - 1) * 13 = 156

Divide by 13

n - 1 = 12

Add 1

n = 13

The sum is then calculated as:

Sn = n/2 * [a + L]

This gives

Sn =13/2 * (5 + 161)

Evaluate

Sn = 1078

Hence, the sum of the arithmetic series is 1078

<h3>The common ratio of the sequence</h3>

Here, we have:

T11  = 32 * T6

The nth term of a geometric sequence is

Tn = ar^(n-1)

This gives

ar^10 = 32 * ar^5

Divide by ar^5

r^5 = 32

Take the fifth root

r = 2

Hence, the common ratio of the sequence is 2


Read more about sequence at:

brainly.com/question/7882626

#SPJ1

6 0
2 years ago
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