Which statement describes the first step to solve the equation by completing the square?

4x^2 + 16x = 20

multiply both sides of the equation by 1/4

add 64 to each side of the equation

add 8 to each side of the equation

multiply both sides of the equation by 1/8

see explanation

Step-by-step explanation:

Given

4x² + 16x = 20

To complete the square we require the coefficient of the x² term to be 1

Divide all terms on both sides by 4 or by the listed statements

multiply both sides of the equation by to obtain

x² + 4x = 5

The process of completing the square can now be performed.

answer: i think the answer is etheir c or d but i don't know which one but have a good day!

step-by-step explanation:

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be =.

y-intercept of dotted line is y=0 only.

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be =.

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be