HELP ASP A line passes through the points R(–9, 4) and F(1, 2). Two points that lie on a line perpendicular to this line are
Select one:
a.
(–10,–4) and (–5,5)
b.
(10,4) and (5,5)
c.
(15,2) and (24,4)
d.
(2,15) and (4,25)

D

Step-by-step explanation:

What you need to do is find the slope of both lines. Perpendicular lines are the negative inverse of each other. The slope of the lie between points R and F is  (2-4)/(1+9)=-1/5. Now you need to find the line where the slop is 5. If you look at D, the slope of the line those points lie on is (25-15)/(4-2)=5 which makes D the answer.

D. (2,15) and (4,25)

Step-by-step explanation:

The slope of the line that passes through (-9,4) and (1,2) is -1/5 so in order to find the slope that is perpendicular to it, you need to find out with of these pairs of points has a slope that is the negative reciprocal of -1/5 which is 5. So the only points that have the slope of 5 are (2,15) and (4,25).

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a. she will receive a refund of $278.

step-by-step explanation:

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4