An altitude of a triangle is a segment that passes through one vertex and is perpendicular to the opposite side. find the standard form of the equation if the line containing each altitude of (triangle)
a(7,10)
b(10,-5)
c(4,-5)

Step-by-step explanation:

A geometry app can make short work of this. The result from one of them is attached. To put the equations into standard form, the leading (x) coefficient must be positive, so the equations shown need to be multiplied by -1.

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A: Segment BC is horizontal, so the altitude through A is the vertical line at the same x-coordinate:

  x = 7

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B: Segment AC has slope Δy/Δx = (10-(-5))/(7-4) = 15/3 = 5/1. The equation of the perpendicular line* through point (h, k) for slope a/b can be written ...

  b(x -h) +a(y -k) = 0

and this can be simplified to ...

  bx +ay = bh +ak

For the altitude through point B, we have a=5, b=1, h=10, k=-5, so the equation is ...

  x +5y = 1·10 +5(-5)

  x + 5y = -15

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C: We note from symmetry, the graph, or from computation that the slope of segment AB is -5. Then the equation of the line through C perpendicular to AB is ...

  1·x -5·y = (1)(4) +(-5)(-5)

  x - 5y = 29

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* The formula shown here is useful for many problems.

        bx +ay = bh +ak

Similarly, ...

        ax -by = ah -bk

answer rather than having to add and subtract the measurements of the semi-circle, notice that the semicircle to the left of ad is actually identical in area to the blank semicircle-shaped space to the left of bc. so if we transferred the red semicircle into the blank space, we would end up with a square of side length 24 cm. the area of a square is s^2 = 24^2 = 676 cm^2.

u also answered this so i think u would know but i am here to

put in or use mine

to plot points   for x just start at the origin (middle) and go to the left however many times it say(if the number is a positive) if the number is a negative then go right however many times it says if it is 0 go nowhere

now keep you pencil there and go up however many times it says on y(if it is positive) if it is negative then go down however many times it says. if it says 0 go nowhere.

you have just plotted a point! now when you finish plotting all of them connect them with a ruler

plot each point as (-3, 7), (0,4), (3,1), (8,-4)   in the parenthesis on the left of the comma is x and the right is y.