Identify an equation in slope-intercept form for the line parallel to y=5x+2 that passes through (-6,-1).

D

Step-by-step explanation:

gradient for the line y=5x+2 = 5  from y=mx+c where m =gradient

parallel lines have equal gradients thus M2=5

equation for line passing through point (-6,-1) and gradient , m=5 will be

(change in y/change in x)=M2

(y--1/x--6)=5

y+1/x+6 =5

y+1=5(x+6)

y+1=5x+30

y=5x+29

d. bc = 12 and ef = 16

step-by-step explanation:

we are given that δabc : δdef such that .

also, it is given that

so, from the options, we need that .

a.

b.

c.  

d.

as, we can see that only option d gives the same ratio as i.e. .

hence, the possible lengths are bc = 12 and ef = 16.

5x + 5

step-by-step explanation:

you should always add the diagrams and graphs we cannot see. this particular question is kind of borderline because we can make a graph for you.

(f + g)x = -x^2 +3x + 5 + x^2 + 2x

(f + g)x = 5x + 5

the graph of z = 5x + 5 is shown below. always use desmos when in doubt.