3 years ago

Y = x^2+8x-7 Use the formula x=-b/2a

Mathematics

1 answer:

Butoxors [25]3 years ago

7 0

b = 8

a = 1

using the formula given

x = -8/2

x = -4

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a line goes through the point(6,-2)and has a slope of -3 what is the value of a if the point (a,7) lies on the line

yaroslaw [1]

Answer:

The value of a is "3", to complete the coordinate point (3,7) on the line.

Step-by-step explanation:

We are given the slope of the line, and also one point through which the line passes. Therefore, we can find the actual equation of the line by using the slope-point form of the line:

$y-y_0=m(x-x_0)\\y-(-2)=(-3)(x-6)\\y+2=-3x+18\\y=-3x+18-2\\y=-3x+16$

Now, we need to find which value of "x" renders a y-value of "7", to complete the coordinate pair (a, 7) as requested. Therefore, we ask for the y-value in the previous equation to be "7", and solve for its associated x-value:

$y=-3x+16\\7=-3x+16\\7-16=-3x\\-9=-3x\\x=\frac{-9}{-3} \\x=3$