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2 years ago

Find the slope of (7, 9) and (2, 12)

Mathematics

2 answers:

slega [8]2 years ago

6 0

The slope of the line that goes through two points $(x_1, y_1)$ and $(x_2, y_2)$ is:

$\dfrac{y_1-y_2}{x_1-x_2}$

The two points we are given is (7,9) and (2,12). Substitute these values into the formula for the slope

$=\dfrac{12-9}{2-7}$

Simplify

$=\dfrac{3}{-5}$

Simplify again

$=-\dfrac{3}{5}$

This should be your answer. Let me know if you need any clarifications, thanks!

~ Padoru

Roman55 [17]2 years ago

3 0

Answer:

-3/5

Step-by-step explanation:

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2. Carter took 56 seconds to ride his bike a distance of 392 feet. At what rate, in feet per

ki77a [65]

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Step-by-step explanation:

To find the speed in feet per second, we divide distance by time.

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3 years ago

Through (-1,-5) parallel to x=2

Tamiku [17]

Paralell to x=c1 is x=c2 where c1 and c2 are constants
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2 years ago

Read 2 more answers

the sum of three consecutive integers is 78. What is the value of the smallest of the three integers?

CaHeK987 [17]

Answer:

Step-by-step explanation:

Consecutive integers just means like one after another.

This means that:

First number = x

Second number = x + 1

Third number = x + 2

They've told us that the sum of 3 consecutive integers is 78.

First number + second number + third number = 78

Sub the equations we wrote into the formula above and we get:

x + x + 1 + x + 2 = 78

Gather the like terms.

3x + 3 = 78

Subtract 3 from both sides.

3x = 78-3 = 75

Divide both sides by 3 to solve for x.

x = 75/3 = 25

If you look at the very beginning we said that the first number = x.

Therefore it is 25.

Second number = x + 1 = 26

Third number = x + 2 = 27

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3 years ago

A large corporation starts at time t = 0 to invest part of its receipts continuously at a rate of P dollars per year in a fund f

Andrews [41]

Answer:

$A = \frac{P}{r}\left( e^{rt} -1 \right)$

Step-by-step explanation:

This is <em>a separable differential equation</em>. Rearranging terms in the equation gives

$\frac{dA}{rA+P} = dt$

Integration on both sides gives

$\int \frac{dA}{rA+P} = \int dt$

where $c$ is a constant of integration.

The steps for solving the integral on the right hand side are presented below.

$\int \frac{dA}{rA+P} = \begin{vmatrix} rA+P = m \implies rdA = dm\end{vmatrix} \\\\\phantom{\int \frac{dA}{rA+P} } = \int \frac{1}{m} \frac{1}{r} \, dm \\\\\phantom{\int \frac{dA}{rA+P} } = \frac{1}{r} \int \frac{1}{m} \, dm\\\\\phantom{\int \frac{dA}{rA+P} } = \frac{1}{r} \ln |m| + c \\\\&\phantom{\int \frac{dA}{rA+P} } = \frac{1}{r} \ln |rA+P| +c$