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pav-90 [236]
3 years ago
14

Find the slope of the line that goes through the two points below.

Mathematics
1 answer:
timama [110]3 years ago
6 0

Answer:

-4

Step-by-step explanation:

The slope of the line is found by

m = (y2-y1)/(x2-x1)

    = (-7 - -19)/(-2 -1)

    = (-7+19)/(-2-1)

    = 12/-3

    = -4

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Write the equation of the line perpendicular to x+2y=6 that passes through (5, 8).
maria [59]

Answer:

y = 2x-2

Step-by-step explanation:

First find the slope of the line

x+2y=6

2y = -x+6

y = -1/2x +3

This is in slope intercept form ( y = mx+b) so -1/2 is the slope

We want a line that is perpendicular so take the negative reciprocal of the slope

- ( 1/ (-1/2)) = 2

The slope of the perpendicular line is 2

y = 2x+b

Substitute the point into the equation

8 = 2(5) +b

8 = 10+b

-2 =b

The equation of the line perpendicular is

y = 2x-2

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3 years ago
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There is a pattern (2,4) (4,6) (6,9) (8,12) what is the 8th group
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The answer is (10,17)
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Find a parametric representation for the surface. the part of the plane z = x + 3 that lies inside the cylinder x2 + y2 = 9. (en
Evgesh-ka [11]
The cylinder is a clue to use cylindrical coordinates. Taking x=3\cos\theta and y=3\sin\theta, we then are forced to use z=3\cos\theta+3. So the parameterization of the intersection of the plane and cylinder is

\mathbf s(\theta)=(3\cos\theta,3\sin\theta,3\cos\theta+3)

To get the surface, we can introduce a second parameter r that "contracts" the elliptical intersection to a point. The simplest way to do this is to use

\mathbf s(r,\theta)=(3r\cos\theta,3r\sin\theta,3r\cos\theta+3)

with 0\le r\le1 and 0\le\theta\le2\pi.
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Chloe has $15 to spend on pencils. Each box of pencils costs $2. How many
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3 years ago
(0,65-3,21)por(-8,12)=?
PIT_PIT [208]

Answer:  =20,7872

Step-by-step explanation:

For this exercise it is important to remember the multiplication of signs. Notice that:

(+)(+)=+\\\\(-)(-)=+\\\\(-)(+)=-\\\\(+)(-)=-

In this case you have the following expression given in the exercise:

(0,65-3,21)(-8,12)

Then you can follow the steps shown below in order to solve it:

Step 1: You must solve the subtraction of the numbers 0,65 and 3,21. Then:

=(-2,56)(-8,12)

Step 2: Now you must find the product of the decimal numbers above. In order to do that you must multiply the numbers.

(As you can notice, both are negative, therefore you know that the product will be positive).

Then, you get that the result is the following:

 =20,7872

5 0
3 years ago
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