A delightful problem ! / / / a). The product of the slopes of two perpendicular lines is always -1. / / / b). Since one of the lines passes through the origin, the y-intercept of that one is zero. No matter what the y-intercept of the other one is, their product is zero. / / / Zero is greater than -1. The correct choice is (b).
Answer:
y=2x^2 + 2x - 3 x -2 -1 0 1 2
Step By Step Explanation:
The values can be find by plugging the x values in the equation which gives us the y value ,
x -2 -1 0 1 2
y 1 -3 -3 1 9
(b) Plot the points on the graph and join by a smooth curve.
(c) The line y=1 will be passing through 1 and parallel to x-axis.
(d) solve 2x^2 + 2x - 3 = 1
Subtract 1 from both the sides ,
2x^2 + 2x - 2 = 0
Factoring out the 2 from the equation ,
2(x^2 + x - 1) = 0
x^2 + x - 1 = 0
Apply the quadratic formula
x=(-1-sqrt(5))/2 and x = (-1+sqrt(5))/5
Answer:
<h2>y - 5 = 2(x - 10)</h2>
Step-by-step explanation:
The point-slope form of an equation of a line:

m - slope
(x₁, y₁) - point
The formula of a slope:

We have the points (10, 5) and (4, -7). Substitute:


Answer:
C.
Step-by-step explanation:
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