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galina1969 [7]
3 years ago
12

What is an equation of the line that passes through the point (3,-1) and (8, 9)?

Mathematics
1 answer:
Evgesh-ka [11]3 years ago
3 0

Answer:

4) y = 2x - 7

Step-by-step explanation:

First we have to find the slope by using the following formula....

let (3, - 1) be (x_{1}, y_{1} ), let (8, 9) be (x_{2} ,y_{2} ), and m be the slope, then....

m = \frac{y_{2} -y_{1} }{x_{2} - x_{1} } = \frac{9 + 1}{8 - 3} = \frac{10}{5} = 2

Now that we know the slope we can find the equation of the function by using point-slope for of the function which look like this.....

y -y_{1} = m(x - x_{1} )\\y + 1 = 2(x - 3)\\y + 1 = 2x - 6\\y = 2x - 7

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I don’t understand this either
trasher [3.6K]
It is a part of slope form ( intercept
7 0
4 years ago
Read 2 more answers
Solve y = f(x) for x. Then find the input(s) when the output is 10.
elixir [45]

The inputs are 1 and -1 when the output is 2.

Step-by-step explanation:

The given function is

f(x) = 10 x²

Then we set y = f (x)

  y = 10 x²

By dividing each side by 10 we get

 x² = y/10

Then we solve for x

 x = ±\sqrt{y/2}

Now we have to find the input(s) when the output is 10

  x = ±\sqrt{10/10}

  x = ± 1

Hence, the inputs are 1 and -1 when the output is 2.

The final solution is x =1 and x = -1.

7 0
3 years ago
PLEASE HELP ME!!!!!!!!!
vitfil [10]
<h2>1)</h2>

(x - 4) {}^{2}  - 28 = 8 \\ (x - 4) {}^{2}  = 8 + 28 \\ (x - 4) {}^{2}  = 36

This must be true for some value of x, since we have a quantity squared yielding a positive number, and since the equation is of second degree,there must exist 2 real roots.

\sqrt{(x - 4) {}^{2} }  =  ± \sqrt{36}  \\x - 4 = ±6 \\ x _{1}- 4 = 6 \:  \:  \:  \:  \:  \:  \: \:  \:  \:  x _{2}- 4 =  - 6 \\ x_{1} = 6 + 4 \:  \:  \:  \:  \:  \:  \:  \:  \:  \: x_{2} =  - 6 + 4 \\ x_{1} = 10 \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:   \:  \:  \: \:  \: x_{2} =  - 2

<h2>2)</h2>

Well he started off correct to the point of completing the square.

(x - 3)  {}^{2}  = 16 \\ x - 3 = ±4 \\  \: x_{1}  - 3 = 4 \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: x_{2}  - 3 =  - 4 \\ x_{1}  = 7 \:  \:  \:  \:  \:  \:  \:  \:  \:  \: x_{2}  =  - 1

8 0
1 year ago
Is this is right, please help
frozen [14]
7:54...10:55 - 33 minutes is 10:22.  Then subtract 2 hours, brings you to 8:22.  Then subtract 28 minutes, and is 7:54
7 0
3 years ago
Read 2 more answers
PLEASE HELP RIGHT ANSWER GETS BRAINLIST
IgorLugansk [536]

Answer:

what is the question

Step-by-step explanation:

5 0
3 years ago
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