Identify an equation in point slope form for the line perpendicular to y = -1/3 x - 6 that passes through (-1,5)

y + 1 = 3(x - 5)   Answer

Step-by-step explanation:

Find the slope of the perpendicular line.

m1 * m2 = - 1

m1 = - 1/3

m2 is the slope of the perpendicular

(-1/3) * m2 = - 1             Multiply both sides by -3

-(3)(-1/3) * m2 = -1 * -3  

m2 = 3

The slope of the perpendicular line is 3

Find the equation of the line.

m = (y - y1)/(x -x1)

y - y1 = m(x - x1) is the equation of the line.

y1 =5

x1 = - 1

(y - - 1) = 3(x - 5)

y + 1 = 3(x - 5)   Answer

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.

step-by-step explanation: