Which line is perpendicular to a line that has a slope of 1/2 ?

a.) line ab
b.) line cd
c.) line fg
d.) line hj

Option D. line HJ

Step-by-step explanation:

Slope of line AB which passes through points A(-4, -2) and B(4, 2)

m1 = 1/2

Slope of line CD passing through C(-4, 0) and D(4, -4)

m2 = -1/2

Slope of the line HJ passing through H(-1, 3) and J(1, -1)

m3 = (-2)

As we know that two line will be perpendicular if their m×m' = -1

Here we see that Line AB is having slope m1 = 1/2 and slope of HJ is m3 = (-2)

m1×m3 = (1/2)×(-2) = -1

Which clearly tells us that line HJ is perpendicular to line AB.

Therefore Option D. is the correct option.

+25 = x

step-by-step explanation:

here x is the hypotenuse of a right triangle whose legs are 7 and 24.   by the pythagorean theorem, 7² + 24² must equal x²:

x² = 49 + 576 = 625.   thus, x = +√625 = +25 = x

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