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3 years ago

(-15,-6), (8,3) Find the slope of the line through each pair of points?

Mathematics

2 answers:

lukranit [14]3 years ago

8 0

Slope is equal to the change in

over the change in

, or rise over run.

m = change in y / change in x

The change in

is equal to the difference in x-coordinates (also called run), and the change in

is equal to the difference in y-coordinates (also called rise).

m = y^2 - y^1 / x^2 x^1

Substitute in the values of

and

into the equation to find the slope.

−

(

−

)

−

(

−

)

Simplify.

Simplify the numerator.

Tap for more steps...

−

(

−

)

Simplify the denominator.

Multiply

−

Add

and

9/23

posledela3 years ago

3 0

Answer:

Step-by-step explanation:

Δy = -6 - 3 = -9

Δx = -15 - 8 = -23

slope = Δy/Δx = 9/23

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3 years ago

London purchased 4 3/4 pints of ice cream for a party. If each guest will be served exactly 2/3 pint of ice cream, what is the g

lara [203]

Answer:

7 persons

Step-by-step explanations:

If 4¾ pints of ice cream is available or the server and each person is expected to have a share of at least 2/3 pints.

The maximum number of people that will be able to get at least the supposed 2/3 pints will be gotten by dividing the total amounts of pints of ice cream by the amount that each person is expected to receive.

4¾ is the same as 19/4 or 4.75 and is divided by 2/3 or 0.6666666

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= 7⅛

But since ⅛ of a person doesn't exist,we have to discard it.

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4 0

3 years ago

Read 2 more answers

Lines m, l, and n are cut by transversal t. At the intersection of lines m and t, the uppercase left angle is angle 1 and the up

KengaRu [80]

Answer:

Which lines, if any, are parallel?

✔ m and n

What justifies your answer?

✔ converse of same side interior angle theorem

Step-by-step explanation:

7 0

4 years ago

-49 is less than or equal to 9-2x

Nikolay [14]

Answer:

x is less than or equal to 29

Step-by-step explanation:

-49 <_ 9 - 2x

isolate the variable.

-49 - 9 <_ 9 - 2x - 9

-58 <_-2x

-58/-2 <_-2x/-2

When dividing or multiplying by negatives, flip the sign.

-58/-2 <_-2x/-2

29 >_ x

x <_ 29

x is less than or equal to 29

5 0

3 years ago

The function f is such that f(x) = 2x/3x+5 The function g is such that g(x) = 3/x+4 Find fg(-5)

White raven [17]

Answer:

$f(g(-5)) = \frac{3}{2}$

Step-by-step explanation:

Given

$f(x) = \frac{2x}{3x+5}$

$g(x) = \frac{3}{x+4}$

Required

Find f(g(-5))

First, we calculate f(g(x))

$f(x) = \frac{2x}{3x+5}$

Substitute g(x) for x

$f(g(x)) = \frac{2g(x)}{3g(x) + 5}$

Substitute $\frac{3}{x+4}$ for g(x)

$f(g(x)) = \frac{2*\frac{3}{x+4}}{3*\frac{3}{x+4} + 5}$

$f(g(x)) = \frac{\frac{6}{x+4}}{\frac{9}{x+4} + 5}$

$f(g(x)) = \frac{6}{x+4}/ (\frac{9}{x+4} + 5})$

Take LCM

$f(g(x)) = \frac{6}{x+4}/ \frac{9+5x+20}{x+4}}$

$f(g(x)) = \frac{6}{x+4}/ \frac{5x+29}{x+4}}$

Rewrite as multiplication

$f(g(x)) = \frac{6}{x+4}* \frac{x+4}{5x+29}}$

$f(g(x)) = \frac{6}{5x+29}$

Substitute -5 for x

$f(g(-5)) = \frac{6}{-5*5+29}$

$f(g(-5)) = \frac{6}{-25+29}$

$f(g(-5)) = \frac{6}{4}$

$f(g(-5)) = \frac{3}{2}$

5 0

3 years ago