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Komok [63]
3 years ago
9

Indicate the equation of the given line in standard form, writing the answer in the equation box below.

Mathematics
1 answer:
yawa3891 [41]3 years ago
5 0

9514 1404 393

Answer:

  x -3y = 4

Step-by-step explanation:

A plot of the points reveals the longer diagonal to be BD. (Also, point C is on that line.)

We can write the standard form equation of the line through (x1, y1) and (x2, y2) as ...

  (y2 -y1)x -(x2 -x1)y = (y2 -y1)x1 -(x2 -x1)y1

For points (-2, -2) and (16, 4), this equation is ...

  (4 -(-2))x -(16 -(-2))y = (4 -(-2))(-2) -(16 -(-2))(-2)

  6x -18y = -12 +36

Dividing by the greatest common factor (6), we have the standard-form equation ...

  x -3y = 4

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aleksandr82 [10.1K]

Answer:

15.7

Step-by-step explanation:

Lets take a = 50.

Area of Sector =

\frac{a}{360} \pi {r}^{2}  \\  =  \frac{50}{360} \pi {6}^{2}  \\  =  \frac{50}{360} (3.14)(36) \\  = 15.7units {}^{2}

4 0
3 years ago
Solve the formula <br> F=ma for a<br> plss
barxatty [35]

Answer:

Step-by-step explanation:

F = ma

ma = F

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mr.torres is 6 1/4 feet tall. Mr. torres is 5 1/2 feet tall. How much shorter is Mrs. torres than her husband PLEASE HURRY!
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7 0
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What is the slope of the line with these points (5, -3) (6, -1) (7, 1)
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Find the equation of line b described below, in slope-intercept form
Serjik [45]

Given:

Line a is perpendicular to line b .

Line a passes through the points (1,-8) and (9,-12) .

Line b passes through the point (-8, -16).

To find:

The equation of b.

Solution:

Line a passes through the points (1,-8) and (9,-12) . So, slope of line a is

m=\dfrac{y_2-y_1}{x_2-x_1}

m_a=\dfrac{-12-(-8)}{9-1}

m_a=\dfrac{-12+8}{8}

m_a=\dfrac{-4}{8}

m_a=-\dfrac{1}{2}

Product of slopes of two perpendicular lines is -1.

m_a\times a_b=-1

-\dfrac{1}{2}\times a_b=-1

b=2

Slope of line b is 2.

If a line passing through a point (x_1,y_1) with slope m, then equation of line is

y-y_1=m(x-x_1)

Line b passing through (-8,-16) with slope 2. So, equation of line b is

y-(-16)=2(x-(-8))

y+16=2(x+8)

y+16=2x+16

Subtract 16  from both sides.

y=2x

Therefore, the equation of line b is y=2x.

7 0
3 years ago
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