Answer:
y = 1/4 x - 12.5
Step-by-step explanation:
8x + 2y = -8 (rewrite in y = mx + b form)
2y = -8x -8 (divide both sides by 2)
y = -4x -2 for first line
Perpendicular line L has "opposite/inverse" slope
y = -4x + b becomes y = 1/4 x + b
What's b (the y-intercept)?
Plug the point (2, -12) into the equation y = 1/4 x + b to solve for b
-12 = 1/4 (2) + b
-12 = 1/2 + b (subtract 1/2 from both sides)
-12.5 =b (rewrite equation)
y = 1/4 x - 12.5
1.22/2 = 0.61
It costs $0.61 per pound
D is the only one not true
Answer:
10
Step-by-step explanation:
Pyth. Theorem:
a = leg, b = leg, c = hypotenuse
![c = \sqrt{ {a}^{2} + {b}^{2} }](https://tex.z-dn.net/?f=c%20%3D%20%20%5Csqrt%7B%20%7Ba%7D%5E%7B2%7D%20%20%2B%20%20%7Bb%7D%5E%7B2%7D%20%7D)
The length of the third side
=
![\sqrt{ {5 \sqrt{3} }^{2} + {5}^{2} }](https://tex.z-dn.net/?f=%5Csqrt%7B%20%7B5%20%5Csqrt%7B3%7D%20%7D%5E%7B2%7D%20%2B%20%20%7B5%7D%5E%7B2%7D%20%20%7D)
=
![\sqrt{75 + 25}](https://tex.z-dn.net/?f=%5Csqrt%7B75%20%2B%2025%7D)
=
![\sqrt{100}](https://tex.z-dn.net/?f=%5Csqrt%7B100%7D)
= 10
The equation for cuircumference is 2
![\pi](https://tex.z-dn.net/?f=%20%5Cpi%20)
r
so your answer would be either ( 78 Pi ) for an exact answer
or for decimal form it would be ( 245.044 )