Thethe equation of the line passing through(2,5) and perpendicular to the line d. 2x-7y=0 can be expressed in the form 7x+ky =b give only the value of b.

To two lines be perpendicular theirs angular coeficients needs to be the opposite inverse, so, we have the line 2x - 7y = 0 => 7y = 2x => y = 2x/7 it have a 2/7 angular coeficient, so the other line need to be the opposite inverse, and it's -7/2

Let's discover the other line:

(y - yo) = m.(x - xo)

(y - 5) = -7/2.(x - 2)

y - 5 = -7x/2 + 7.2/2

y - 5 = -7x/2 + 7

y = -7x/2 + 7 + 5

y = -7x/2 + 12

Let's multiply all the equation by 2.

2y = -7x + 24

Pass -7x

7x + 2y = 24

7x + ky = b

b is 24 and k is 2

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have

c

step-by-step explanation:

there is vertical asymptote at x = 2 and x = 0

vertical asymptote occurs at the points where the denominator is 0. so we can say that

x = 2 occurs when there is a factor (x-2) in the denominator, and

x = 0 occurs when there is a factor "x" in the denominator

thus, the denominator of the equation would have "x * (x-2)", this is option c only. that's the correct answer.