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3 years ago

Determine the slope of the line passing through the points (5, 8) and (-3, 10).

Mathematics

2 answers:

Sholpan [36]3 years ago

5 0

Answer:

<h3>The answer is option 2</h3>

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

$m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\$

From the question we have

$m = \frac{10 - 8}{ - 3 - 5} = \frac{2}{ - 8} = - \frac{2}{8} = - \frac{1}{4} \\$

We have the final answer as

$- \frac{1}{4} \\$

Hope this helps you

Furkat [3]3 years ago

3 0

Answer:

-1/4. ..................,..

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If f(x) = 2x² - 6x + 8, find f(a - 2).

yan [13]

Answer: f(a-2) = 2a² - 14a + 28

Step-by-step explanation:

f(x) = 2x² - 6x + 8

you can take a-2 and substitute it for each x, which would look like this:

f(a-2) = 2(a-2)² - 6(a-2) + 8

then distribute those in ( )

f(a-2) = 2a² - 8a + 8 - 6a + 12 + 8

combine like terms

f(a-2) = 2a² - 14a + 28

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2 years ago

What is the answer to 5/8 . 2/7 and what does the dot stand for the dot is actually a little higher

Illusion [34]

First, the dot stands for the "product". You have to multiply.

5/8* 2/7
= [5/ (2*4)]* (2/7)
= 5/4* 1/7 (because 2 and 2 cancel out)
= (5*1)/ (4*7)
= 5/28

The final answer is 5/28~

6 0

3 years ago

Read 2 more answers

For which value of theta is cot theta equal to cos theta?

Oksi-84 [34.3K]

Answer:

$\frac{cos \theta}{sin \theta}= cos \theta$

If we multiply by cross we got:

$cos \theta = sin \theta cos \theta$

We can divide both sides of the last equation by $cos \theta$ and we got:

$sin \theta = 1$

And if we apply arcsin in both sides we got:

$\theta = arcsin (1) = \frac{\pi}{2}$

And the best solution would be:

C) pi/2

Step-by-step explanation:

For this case we want to solve the following equation:

$cot \theta = cos \theta$

And we know that by definition $cot \theta = \frac{cos \theta}{\sin \theta}$

And replacing we got:

$\frac{cos \theta}{sin \theta}= cos \theta$

If we multiply by cross we got:

$cos \theta = sin \theta cos \theta$

We can divide both sides of the last equation by $cos \theta$ and we got:

$sin \theta = 1$

And if we apply arcsin in both sides we got:

$\theta = arcsin (1) = \frac{\pi}{2}$

And the best solution would be:

C) pi/2

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3 years ago

Which of the following is the quotient of the rational expressions shown here?

alisha [4.7K]

Answer:

x^2 /(x^2 -36)

Step-by-step explanation:

x/(x-6) ÷ (x+6) /x

Copy dot flip

x/(x-6) * x/(x+6)

x^2/ ( x-6)(x+6)

This is the difference of squares( a-b)(a+b) = a^2 -b^2

x^2 /(x^2 -36)

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