The wording is unorthodox, but I believe the answer is D.
The equation of the line is
x
2
−x
1
x−x
1
=
y
2
−y
1
y−y
1
Here (−3,4)≡(x
1
,y
1
),(4,5)≡(x
2
,y
2
)
∴
4+3
x+3
=
5−4
y−4
⇒
7
x+3
=
1
y−4
⇒x+3=7(y−4)
⇒x+3=7y−28
⇒x−7y+3+28=0
⇒x−7y+31=0
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Answer:
B
Step-by-step explanation
a squared plus b squared equals c squared.
16 plus 144 equal 160.
now square 160
Answer:
C
Step-by-step explanation:
The snacks altogether (Pretzels and Nuts) cost 57 dollars.
Given:


To find:
Whether f(x) and g(x) are inverse of each other by using that f(g(x)) = x and g(f(x)) = x.
Solution:
We know that, two function are inverse of each other if:
and 
We have,


Now,
![[\because g(x)=\dfrac{8}{x}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20g%28x%29%3D%5Cdfrac%7B8%7D%7Bx%7D%5D)
![[\because f(x)=\dfrac{8}{x}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20f%28x%29%3D%5Cdfrac%7B8%7D%7Bx%7D%5D)


Similarly,
![[\because f(x)=\dfrac{8}{x}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20f%28x%29%3D%5Cdfrac%7B8%7D%7Bx%7D%5D)
![[\because g(x)=\dfrac{8}{x}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20g%28x%29%3D%5Cdfrac%7B8%7D%7Bx%7D%5D)


Since,
and
, therefore, f(x) and g(x) are inverse of each other.