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givi [52]
1 year ago
5

What is the equation of the line that is perpendicular to y = 3x + 3 and passes through the point (−6, 9)?

Mathematics
1 answer:
Ludmilka [50]1 year ago
7 0

The equation of the line will be equal to 3y = -x + 21.

A line may be defined as the straight figure drawn which has no end points. The equation of a line can be written in slope intercept form as y = mx + c where m is the slope of line, c is y intercept an x and y are independent and dependent variables. If a point (x₁, y₁) is given then equation of line is (y - y₁) = m (x - x₁). The slope of line which is perpendicular to a given line having slope m is equal to -1/m.

Now, equation of line is y = 3x + 3. If we compare with slope intercept form then, m = 3. Now, slope of line perpendicular to this line is equal to -1/3. Now, equation of line passing through point (-6, 9) is given as

(y - 9) = -1/3 (x + 6)

3y - 27 = -x - 6

=> 3y = -x + 21 which is the required equation of line.

Learn more about Slope intercept form at:

brainly.com/question/9317111

#SPJ1

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Answer:

3.33times 10^7 because when it is possible to substract 2.24times10^5 from it

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Semmy [17]

Answer:

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Step-by-step explanation:

apply the indices law

  1. multiple means addition
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  3. you are suppose to add the powers or subtract where necessary
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6 0
2 years ago
Apple weights are normally distriuted with a mean 0.33 pounds and and standard deviation of 0.06 pounds. Jermaine went to the st
maksim [4K]

Using the normal distribution, it is found that 10.56% of the apples weigh less than Jermaine's apple.

--------------------

In a <em>normal distribution</em> with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

  • It measures how many standard deviations the measure X is from the mean.
  • After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X, that is, the proportion of measures that are less than X.

In this problem:

  • Mean of 0.33 pounds, thus \mu = 0.33.
  • Standard deviation of 0.06 pounds, thus \sigma = 0.06.
  • The proportion that is less than 0.25 pounds is the p-value of Z when X = 0.25, thus:

Z = \frac{X - \mu}{\sigma}

Z = \frac{0.25 - 0.33}{0.06}

Z = -1.25

Z = -1.25 has a p-value of 0.1056.

0.1056 x 100% = 10.56%.

10.56% of the apples weigh less than Jermaine's apple.

A similar problem is given at brainly.com/question/13411796

8 0
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What should be added to both sides of this equation to solve for the variable?<br> 45 = 30 + m
timurjin [86]
Subtract 30 from both sides

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3 years ago
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Please help me answer and explain number 55
melamori03 [73]

Answer:

D

Step-by-step explanation:

An operation of two real numbers is defined by the rule

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Calculate 2\bigotimes (1\bigotimes 3). First evaluate the expression in brackets:

1\bigotimes 3=1^3+2\cdot 1\cdot 3=1+6=7

Now,

2\bigotimes (1\bigotimes 3)=2\bigotimes 7=2^7+2\cdot 2\cdot 7=128+28=156

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