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dsp73
3 years ago
9

Answer problem below

Mathematics
2 answers:
garri49 [273]3 years ago
7 0

Answer:

  • A = 2, B = 1, C = 28

Step-by-step explanation:

Find the slope of the line AB.

<u>The slope:</u>

  • m = (11 - 9)/(11 - 7) = 2/4 = 1/2

Since the altitude is perpendicular to AB, it has a slope of -2.

The line with the slope of -2 and passes through point C(6, 16).

<u>Use point-slope equation to find the line:</u>

  • y - 16 = -2(x - 6)
  • y - 16 = -2x + 12
  • y + 2x = 16 + 12
  • 2x + y = 28

A = 2, B = 1, C = 28

Andreyy893 years ago
6 0

Answer:

Solution given:

A(7,9)

B(11,11)

C(6,16)

Slope of AB=\frac{11-9}{11-7}=\frac{2}{4}=½

since altitude is perpendicular to it .

so its slope becomes negative reciprocal to the slope of base

so

slope of altitude(m) =-2

now

equation of a line passing through C(6,16) perpendicular to its base is:

By using formula

y-y_{1}=m(x-x_{1})

y-16=-2(x-6)

solve it

y-16=-2x+12

y+2x=12+16

in the form of Ax +By=C is:

2x+y=28

:.

<h3 /><h3><u>A=2</u></h3>

<u>B=1</u>

<u>C=28</u>

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