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Kruka [31]
3 years ago
13

What is an equation of the line that is parallel to y=4x−10 and passes through (1, 13) ? Enter your equation in the box.

Mathematics
1 answer:
Evgen [1.6K]3 years ago
3 0

y = 4x−10 ; slope m = 4

Parallel has same slope so slope of new line = 4

y = 4x + b

b = y - 4x

Passes through (1, 13)

b = 13 - 4(1)

b = 13 - 4

b = 9

Equation

y = 4x + 9

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Which of the following systems of equations is an example of one where substitution is the best method?
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Answer:

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3 0
3 years ago
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What is the slope of the line represented by the equation y = 1/5x-3?
Romashka-Z-Leto [24]

Answer:

1/5

Step-by-step explanation:

Your equation is written in the form y=mx+b, where m is the slope and b is the y-intercept.

m=1/5, so the slope is 1/5

7 0
4 years ago
4. If A = (-4, -5) and B = (-1, -10), what is the length of segment AB? Round your answer to the nearest hundredth.
HACTEHA [7]

Answer:

5.83095 or √34

Step-by-step explanation:

Find the difference between coordinates:

(x2-x1) = (-1 - -4) = 3

(y2-y1) = (-10 - -5) = -5

Square the results and sum them up:

(3)2 + (-5)2 = 9 + 25 = 34

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Approximate solution: 5.831

7 0
3 years ago
Find the critical numbers of the function. (Enter your answers as a comma-separated list. Use n to denote any arbitrary integer
lyudmila [28]

If

f(\theta)=10\cos\theta+5\sin^2\theta

then the derivative is

f'(\theta)=-10\sin\theta+10\sin\theta\cos\theta

Critical points occur where f'(\theta)=0. This happens for

-10\sin\theta+10\sin\theta\cos\theta=0

-10\sin\theta(1-\cos\theta)=0

\implies-10\sin\theta=0\text{ or }1-\cos\theta=0

In the first case, we find

-10\sin\theta=0\implies\sin\theta=0\implies\theta=n\pi

In the second,

1-\cos\theta=0\implies\cos\theta=1\implies\theta=2n\pi

So all the critical points occur at multiples of \pi, or n\pi. (This includes all the even multiples of \pi.)

3 0
4 years ago
Please help!! I will give correct answer brainelest! 15 points!
4vir4ik [10]
Minimum is 40

First quartile is 43

Median is 61

Third quartile is 65

Maximum is 97
7 0
3 years ago
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