Rewrite in y=mx+b first
y=x + 5
The slope is 1. If a line is parallel it will have the same slope so the answer is 1.
Answer:
32
Step-by-step explanation:
24/3 = 8
8x2 = 2/3 of 24
8x2=16
he made 16 baskets
each basket = 2 points
16x2 = 32
Is there a picture or something?
Answer:
. It means AC is perpendicular to AB.
Step-by-step explanation:
Vertices of given triangle are A(−2, −2), B(5, −2), and C(−2,22).
Distance formula:
![d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%28x_2-x_1%29%5E2%2B%28y_2-y_1%29%5E2%7D)
Using distance formula we get
![AB=\sqrt{(5-(-2))^2+(-2-(-2))^2}=\sqrt{7^2}=7](https://tex.z-dn.net/?f=AB%3D%5Csqrt%7B%285-%28-2%29%29%5E2%2B%28-2-%28-2%29%29%5E2%7D%3D%5Csqrt%7B7%5E2%7D%3D7)
![BC=\sqrt{(-2-5)^2+(22-(-2))^2}=\sqrt{7^2+24^2}=\sqrt{625}=25](https://tex.z-dn.net/?f=BC%3D%5Csqrt%7B%28-2-5%29%5E2%2B%2822-%28-2%29%29%5E2%7D%3D%5Csqrt%7B7%5E2%2B24%5E2%7D%3D%5Csqrt%7B625%7D%3D25)
![AC=\sqrt{(-2-(-2))^2+(22-(-2))^2}=\sqrt{24^2}=24](https://tex.z-dn.net/?f=AC%3D%5Csqrt%7B%28-2-%28-2%29%29%5E2%2B%2822-%28-2%29%29%5E2%7D%3D%5Csqrt%7B24%5E2%7D%3D24)
According to Pythagoras theorem
![hypotenuse^2=perpendicular^2+base^2](https://tex.z-dn.net/?f=hypotenuse%5E2%3Dperpendicular%5E2%2Bbase%5E2)
![(BC)^2=(AC)^2+(AB)^2](https://tex.z-dn.net/?f=%28BC%29%5E2%3D%28AC%29%5E2%2B%28AB%29%5E2)
Perpendicular = AC
Base = AB
It means AC is perpendicular to AB.
Hence proved.
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