Step-by-step explanation:
Answer: The equation parallel to the line is y=3x+8
Step-by-step explanation: Parallel lines have the same gradients, wr have a gradient for the above line which 3. The standard formula for the linear equation is y=mx+c
We have to calculate c since we have x and y.
y=mx+c
5= 3(-1)+c
c=8
The equation become y=3x+8
Answer:
x= 6
Step-by-step explanation:
3(x + 4) = 2x + 4x - 6
3x + 12 = 2x + 4x - 6
3x + 12 = 6x - 6
-3x = -18
x= 6
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Answer:
4. dy/dx = -2
8. dy/dx = 1/2 x^(-3/2)
10/ dy/dr = 4 pi r^2
Step-by-step explanation:
4. y = -2x+7
dy/dx = -2(1)
dy/dx = -2
8. y = 4 - x^-1/2
dy/dx = - (-1/2x^ (-1/2-1)
dy/dx = 1/2 x^(-3/2)
10. y = 4/3 pi r^3
dy/dr = 4/3 pi (3r^2)
dy/dr = 4 pi r^2
