15 points and brainliest for first answer

write the equation for a line that id perpendicular to the line 8x-4y=12 and passes through the origin

y = -(1/2)x

Step-by-step explanation:

given 8x-4y=12

arranging in slope-intercept form:

8x-4y=12

4y = 8x - 12 (divide both sides by 4)

y = 2x - 3

we can see that the slope of this line is the coefficient of x , which is 2.

The slope of a perpendicular line is the negative reciprocal of this number

m = -1/2

assembling the linear equation in point-slope form

y - y₁ = m (x - x₁)

given that the equation passes through the origin, then both x₁ and y₁=0

y - 0 = (-1/2) (x - 0)

y = (-1/2)x

y = -(1/2)x

your answer is the last one

step-by-step explanation:

divide the length of a'c' by the length of ac to get a scale factor of two

& then reflect vertically (over the y-axis)

so your answer is dilation by a scale factor of 2 followed by reflection over the y-axis

complete the steps to find the area of the trapezoid.

area of rectangle = 256   square units

area of triangle 1 = 24  square units

area of triangle 2 = 16  square units

area of triangle 3 =   96 square units

area of trapezoid = 120  square units

step-by-step explanation: