we have the equation
![\frac{x}{3}+5=8](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B3%7D%2B5%3D8)
Solve for x
That means ----> isolate the variable x
step 1
Subtract 5 on both sides
![\begin{gathered} \frac{x}{3}+5-5=8-5 \\ \\ \frac{x}{3}=3 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Cfrac%7Bx%7D%7B3%7D%2B5-5%3D8-5%20%5C%5C%20%20%5C%5C%20%5Cfrac%7Bx%7D%7B3%7D%3D3%20%5Cend%7Bgathered%7D)
step 3
Multiply by 3 on both sides
![\begin{gathered} \frac{x}{3}*3=3*3 \\ x=9 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Cfrac%7Bx%7D%7B3%7D%2A3%3D3%2A3%20%5C%5C%20x%3D9%20%5Cend%7Bgathered%7D)
<h2>The answer is x=9</h2>
Use the sum-product pattern
2
−
−
1
2
x
2
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x
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12
x2−x−12
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3
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4
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x
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3
x
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x
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12
x2+3x−4x−12
2
Common factor from the two pairs
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3
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4
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1
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x
2
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x
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x
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12
x2+3x−4x−12
(
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3
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4
(
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x
(
x
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4
(
x
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)
x(x+3)−4(x+3)
3
Rewrite in factored form
(
+
3
)
−
4(+3)x
(x+3)−4(x+3)
x(x+3)−4(x+3)
(−4)(+3)
(x−4)(x+3)
(x−4)(x+3)
<h2><u>Given</u></h2>
![- 5c + 9c = - 20](https://tex.z-dn.net/?f=%20-%205c%20%2B%209c%20%3D%20%20-%2020)
<h2><u>To </u><u>Find</u></h2>
Value of c term
<h2><u>Solution</u></h2>
![- 5 + 9c = - 20 \\ \\ = > 4c = - 20 \\ \\ = > c = \frac{ - 20}{4} \\ \\ = > c = \cancel \frac{ - 20}{4} \\ \\ = > c = - 5](https://tex.z-dn.net/?f=%20-%205%20%2B%209c%20%3D%20%20-%2020%20%5C%5C%20%20%5C%5C%20%20%3D%20%20%3E%204c%20%3D%20%20-%2020%20%5C%5C%20%20%5C%5C%20%20%3D%20%20%3E%20c%20%3D%20%20%5Cfrac%7B%20-%2020%7D%7B4%7D%20%20%5C%5C%20%20%5C%5C%20%20%3D%20%20%3E%20c%20%3D%20%5Ccancel%20%5Cfrac%7B%20-%2020%7D%7B4%7D%20%5C%5C%20%20%5C%5C%20%20%3D%20%20%3E%20c%20%3D%20%20-%205)
<h3>Hope This Helps</h3>
To find how many steps he's taking, you must do:
1138*2=2276 steps
Answer:
c 1/2
Step-by-step explanation:
You are incorrect.
We are going from ABCDEFGH to A'B'C'D'E'F'G'H'. We are going from the large octagon to the small octagon. The scale factor of a dilation is the number you multiply the original lengths to get the lengths of the dilation.
![scale~factor = \dfrac{length~of~dimension~in~dilated~image}{length~of~corresponding~dimension~in~original~figure}](https://tex.z-dn.net/?f=scale~factor%20%3D%20%5Cdfrac%7Blength~of~dimension~in~dilated~image%7D%7Blength~of~corresponding~dimension~in~original~figure%7D)
Look at point (6, 0) which becomes (3, 0) in the dilation.
The distance from the origin to (6, 0) is 6 units.
The distance from the origin to (3, 0) is 3 units.
scale factor = dilated/original = 3/6 = 1/2
The scale factor of the dilation is 1/2.
Also look at segment AB whose length is 4. The length of segment A'B' is 2.
scale factor = dilated/original = 2/4 = 1/2
Answer: 1/2