Here we go,
![\frac{4}{ |p| } + 12 = 14](https://tex.z-dn.net/?f=%20%5Cfrac%7B4%7D%7B%20%20%7Cp%7C%20%7D%20%20%2B%2012%20%3D%2014)
Subtract 12 from both sides,
![\frac{4}{ |p| } + 12 - 12 = 14 - 12 \\ \frac{4}{ |p| } = 2](https://tex.z-dn.net/?f=%20%5Cfrac%7B4%7D%7B%20%7Cp%7C%20%7D%20%20%2B%2012%20-%2012%20%3D%2014%20-%2012%20%5C%5C%20%20%5Cfrac%7B4%7D%7B%20%7Cp%7C%20%7D%20%20%3D%202)
Multiply both sides with |p|
![\frac{4}{ |p| } \times |p| = 2 \times |p | \\ 4 = 2 \times |p| \\](https://tex.z-dn.net/?f=%20%5Cfrac%7B4%7D%7B%20%7Cp%7C%20%7D%20%20%5Ctimes%20%20%7Cp%7C%20%20%3D%202%20%5Ctimes%20%20%7Cp%20%7C%20%20%5C%5C%204%20%3D%202%20%5Ctimes%20%20%7Cp%7C%20%5C%5C%20)
divide both sides with 2
![\frac{4}{2} = \frac{(2 \times |p| )}{2} \\ 2 = |p|](https://tex.z-dn.net/?f=%20%5Cfrac%7B4%7D%7B2%7D%20%20%3D%20%20%5Cfrac%7B%282%20%5Ctimes%20%20%7Cp%7C%20%29%7D%7B2%7D%20%20%5C%5C%202%20%3D%20%20%7Cp%7C%20)
Therefore,
|p| equals 2.
(0,-3) and (6,0) this is what my quiz says is the right answer
Answer:
I believe the answer is 70! Sorry if i'm wrong. Bai
Answer:
<h2>Triangle A B C. Angle B is a right angle.</h2>
Step-by-step explanation:
A dilation with a scale factor of 2 represents a transformation where the preimage ABC would be smaller and the triangle A'B'C' would be twice bigger. That means, the pre-image will be inside the image.
Also, as you can observe in the image, angle B is a right angle. Triangle A'B'C' has B' as a right angle too.
Additionally, line segment B'C' is twice bigger than line segment BC, because the preimage is smaller.
Therefore, the only right answer is the first one.
Answer:
-9
Step-by-step explanation:
Substitute the give values into the correct place in the equation.
Since x=2, y=3,
Place "2" in the x of the equation, and "3" into the y of the equation.
x²-5y+2
= 2² - 5(3) + 2
= 4 - 15 + 2
= -9