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trasher [3.6K]
3 years ago
8

Write 3x-7+2(2x-7) as the product of 7 and another factor

Mathematics
1 answer:
tankabanditka [31]3 years ago
5 0

Answer:

7x - 3)

Step-by-step explanation:

Given

3x - 7 + 2(2x - 7) ← distribute parenthesis

= 3x - 7 + 4x - 14 ← collect like terms

= 7x - 21 ← factor out 7 from each term

= 7(x - 3)

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i don't understand how to make it into a graphing form? how do you find the center and radius? (I'm confused because it has a 4x
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Answer: \bold{(x-2)^2+(y-3)^2=\dfrac{1}{4}}

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

When both the x² and y² values are equal and positive, the shape is a circle. Complete the square to put the equation in format:

(x-h)² + (y-k)² = r²    where

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1) Group the x's and y's together and move the number to the right side

   4x² - 16x         + 4y² - 24y               = -51        

2) Factor out the 4 from the x² and y²

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3) Complete the square (divide the x and y value by 2 and square it)

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  = 4(x - 2)² + 4(y - 3)² = -51 + 4(-2)² + 4(-3)²

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  = 4(x - 2)² + 4(y - 3)² = -51 +  16  +  36

  = 4(x - 2)² + 4(y - 3)² = 1

4) Divide both sides by 4

   (x-2)^2+(y-3)^2=\dfrac{1}{4}

  • (h, k) = (2, 3)
  • r=\dfrac{1}{2}

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