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3 years ago

Write the equation of the line that passes through the points (0,8) and (-1, –4).

Mathematics

1 answer:

andrey2020 [161]3 years ago

8 0

Answer:

Step-by-step explanation

First, let's remember the equation for point-slope form and how to find the 'm' value:

$y-y1 = m (x-x1)\\m = rise/run\\m = \frac{-4-(8)}{-1-(0)} = 12$

Now plug your m value and (x1, y1) into point-slope form:

$y - 8 = 12(x-0)\\reduce\\y=12x+8$

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What is the solution to the system of equations? 6x – 9y = 16 2x – 3y = 7

kifflom [539]

The first step for solving this problem is to multiply both sides of the bottom equation by -3.
$\left \{ {{6x-9y=16} \atop {-6x + 9y = -21}} \right.$
Add the two equations together.
6x - 9y - 6x + 9y = 16 - 21
Eliminate the opposites.
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Remember that the sum of two opposites equals 0,, so the equation becomes the following:
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Calculate the difference on the right side of the equation.
0 = -5
This means that the statement $\left \{ {{6x-9y=16} \atop {2x-3y=7}} \right.$ is false for any value of x and y. That means that the answer to your question is (x,y) ∈ ∅,, or no solution.
Let me know if you have any further questions.
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3 years ago

SOMEONE PUT AN ANSWER SO IT DOESNT GET DELETED!!!

Nadusha1986 [10]

Answer:

The height of the cylinder is 4x units.

Step-by-step explanation:

volume of a cylinder = nr^2h

n = 22/7

r = radius = x/2

Let illustrate with an example. If the diameter of a cylinder is 6 and the volume is 6^3 = 216. The radius = 6/2 = 3

n3^2 x h = 216

h = 216/9 = 24

so the height is 4 times the diameter

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ss7ja [257]

A.) 1/2

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For the first one, just plug the value of x (4) everywhere you see x in the formula.

For the second one, place 1 wherever you see f(x)

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