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Assoli18 [71]
3 years ago
7

Find the eqation of the line perpendicular to y=3x-6 that runs through the point (-1, -3)

Mathematics
1 answer:
alexgriva [62]3 years ago
3 0
The coefficient of x in the equation of the given line, 3, is its slope. The slope of the perpendicular line is the negatve reciprocal of that, -1/3. You now have the slope and a point on the perpendicular line, so you can write its equation using the point-slope form:
  y = m(x -x₁) +y₁
where m is the slope and (x₁, y₁) is the point.

An equation for your perpendicular line is
  y = (-1/3)(x -(-1)) -3
  y = (-1/3)x -10/3

The slope-intercept form of the equation of the perpendicular line is ...
  y = (-1/3)x -10/3

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I think it’s C as 425 X 0.0082 is 34.85
7 0
3 years ago
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frez [133]

Answer:

P(x < 2.892) = 4.36\%

Step-by-step explanation:

Given

N = 700 --- Population

\mu = 2.894 -- Mean

\sigma = 0.009 --- Standard deviation

n = 55 -- Sample

Required: P(x < 2.892)

This question will be solved using the finite correction factor

First, calculated the z score

z = \frac{x - \mu}{\sqrt{\frac{N -n}{N -1}} * \frac{\sigma}{\sqrt n}}

z = \frac{2.892 - 2.894}{\sqrt{\frac{700 -55}{700 -1}} * \frac{0.009}{\sqrt {55}}}

z = \frac{-0.002}{\sqrt{\frac{645}{699}} * \frac{0.009}{7.42}}

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z = \frac{-0.002}{0.95917 * 0.0012129}

z = -1.71

So:

P(x < 2.892) = P(z < -1.71)

Using z table

P(x < 2.892) = 0.043633

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3 0
3 years ago
WILL MARK BRAINLIEST AND GIVE 100 POINTS! WILL REPORT IF INCORRECT
grigory [225]

please refer to this image

please don't report this answer if it is wrong

but if its correct so please mark me as brainlist

5 0
2 years ago
I need help :( i don't understand this
maria [59]
Answer: 116.93ft^2




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A= pi•r^2
A=(3.14)•1.5^2= 7.07

Then find the area of the rectangle
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A=15.5•8=124

Then do 124-7.07=116.93

You have to subtract the area of the circle from the area of the rectangle because the circle is not shaded in
4 0
3 years ago
What is the area of the picture below?
mart [117]

Answer:

A=130

Step-by-step explanation ❤️❤️

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3 years ago
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