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3 years ago

What is the equation in point-slope form if a line that passes through points (3,-5) and (-8,4)?

Mathematics

1 answer:

nignag [31]3 years ago

3 0

The slope-point formula:

$y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}$

We have (3, -5) and (-8, 4).

Substitute:

$m=\dfrac{4-(-5)}{-8-3}=\dfrac{9}{-11}=-\dfrac{9}{11}\\\\y-4=-\dfrac{9}{11}(x-(-8))\\\\y-4=-\dfrac{9}{11}(x+8)\to C)$

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Simplify the expression cos x cot x+ sin x please select the best answer from the choices provided a.0, b.csc x, c. Tan x, d sec

expeople1 [14]

Answer:

$cot x = \frac{cos x}{sin x}$

$cos x \frac{cos x}{sin x} + sin x$

$\frac{cos^2 x}{sin x} +sin x$

$sin^2 x + cos^2 x =1$

Solving for $cos^2 x$ we got $cos^2 x =1 -sin^2 x$ and replacing this we got:

$\frac{1-sin^2 x}{sin x} +sin x$

$\frac{1}{sin x} -\frac{sin^2 x}{sin x} +sin x$

$csc x -sin x + sin x = csc x$

And then the best option for this case would be:

b.csc x

Step-by-step explanation:

For this case we have the following expression given:

$cos x cot x + sin x$

We know from math properties that the definition for cot is $cot x = \frac{cos x}{sin x}$

If we use this definition we got:

$cos x \frac{cos x}{sin x} + sin x$

$\frac{cos^2 x}{sin x} +sin x$

Now we can use the following identity:

$sin^2 x + cos^2 x =1$

Solving for $cos^2 x$ we got $cos^2 x =1 -sin^2 x$ and replacing this we got:

$\frac{1-sin^2 x}{sin x} +sin x$

$\frac{1}{sin x} -\frac{sin^2 x}{sin x} +sin x$

$csc x -sin x + sin x = csc x$

And then the best option for this case would be:

b.csc x

4 0

4 years ago

What is the standard form for the graph?

Novosadov [1.4K]

Y=-2x+0 reason: rise over run as you can see in the graph -2 rise (drop) and -1 run and b=0 y intercept

3 0

3 years ago

Help me PLEASEEEeeee

Harlamova29_29 [7]

Answer:

y=-2x-2

Step-by-step explanation:

Just ask.

Hope this helped! :)

8 0

3 years ago

PLEASE HELP I WILL GIVE YOU BRAINLIST I NEED HELP PLEASE

bearhunter [10]

Answer:

One Solution

Step-by-step explanation:

Do distributive property

3k+6+3+7k=2k+4+3k

Combine like terms

10k+9=5k+4

Subtract 5k from 10k

5k+9=4

Subtract 9 from 4

5k=-5

Divide

k=-1

Hope this helped, Have a Wonderful Day!!

3 0

3 years ago

Michael threw a baseball 17.6 meters. His older brother, Kyle, threw a baseball 3.5 times farther than Michael. How far did Kyle

lukranit [14]

Answer: 61.6

Step-by-step explanation:

17.6 X 3.5 = 61.6

6 0

3 years ago

Read 2 more answers