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3 years ago

A line contains the points (82, −96) and (87, −86). what is the slope of the line in simplified form?

Mathematics

1 answer:

True [87]3 years ago

3 0

-96-(-86) -10 -2
------------= ------= -----= -2
82-87 -5 1

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Solve this problem thanks

vovikov84 [41]

The three missing lengths are the left hypotenuse, x, the middle altitude, y, and the right hypotenuse, z.

9/y = y/16

y^2 = 9 * 16

y^2 = 144

y = 12

9^2 + 12^2 = x^2

x^2 = 225

x = 15

12^2 + 16^2 = z^2

z^2 = 400

z = 20

From left to right, the sides measure 15, 12, and 20 units.

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solution:

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3 years ago

What does 5 3/4+7 1/2 equal

Natalija [7]

Answer:

5 3/4+7 1/2

5.75 + 7.50 = 13.25 or 13 1/4

Step-by-step explanation:

5 3/4+7 1/2

5.75 + 7.50 = 13.25 or 13 1/4

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3 years ago

67. The line contains the point (4,0) and is parallel to the line defined by 3x = 2y.

olganol [36]

Answer:

$y=\frac{3}{2} x-6$

Step-by-step explanation:

Hi there!

What we need to know:

Linear equations are typically organized in slope-intercept form:

$y=mx+b$ where m is the slope of the line and b is the y-intercept (the value of y when the line crosses the y-axis)

Parallel lines will always have the same slope but different y-intercepts.

1) Determine the slope of the parallel line

Organize 3x = 2y into slope-intercept form. Why? So we can easily identify the slope, m.

$3x = 2y$

Switch the sides

$2y=3x$

Divide both sides by 2 to isolate y

$\frac{2y}{2} = \frac{3}{2} x\\y=\frac{3}{2} x$

Now that this equation is in slope-intercept form, we can easily identify that $\frac{3}{2}$ is in the place of m. Therefore, because parallel lines have the same slope, the parallel line we're solving for now will also have the slope $\frac{3}{2}$ . Plug this into $y=mx+b$ :