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Illusion [34]
3 years ago
9

Which equation in point-slope form describes the line that passes through the point (4,-5) and is perpendicular to

Mathematics
2 answers:
Nesterboy [21]3 years ago
6 0

D

Step-by-step explanation:

Dominik [7]3 years ago
5 0

9514 1404 393

Answer:

  D  y +5 = -2/7(x -4)

Step-by-step explanation:

The point-slope form is ...

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

You're given (h, k) = (4, -5), so the equation will be of the form ...

  y +5 = m(x -4) . . . . for some slope m

This form eliminates the first two choices.

__

The slope of the given line is the coefficient of x when solved for y:

  2y = 7x +14

  y = 7/2x +7  . . . .  slope is 7/2

The perpendicular line will have a slope that is the opposite reciprocal of this, ...

  -2/7 . . . . slope of perpendicular line

This is the slope shown in choice D:

  y +5 = -2/7(x -4)

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3 years ago
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Distributive property of <br>4x 567​
Maksim231197 [3]

567 = 500+60+7

4*567 = 4*(500+60*7)

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--------

note: multiply the outer term 4 by each term inside the parenthesis to use the distributive property. The general distributive property is a*(b+c) = a*b+a*c. This can be extended to a*(b+c+d) = a*b+a*c+a*d. You can have as many terms as you like inside the parenthesis.

7 0
3 years ago
If two marbles are selected at random with replacing between draws, what is the probability that the outcome is red then yellow?
saul85 [17]

The probability that the outcome is red then yellow is 0.036.

Given that in a jar there are 8 red marbles, 1 yellow marble and 6 green marbles.

We are required to find the probability of obtaining a red then yelow marble if two marbles are drawn and replacement is used.

Probability is the calculation of finding the chance of happening a event among all the events possible. It lies between 0 and 1.

Probability=Number of items/ Total items.

Number of red marbles=8

Number of yellow marble=1

Number of green marbles=6

Total marbles=15

Probability of obtaining red marble=8/15

Probability of obtaining yellow marble=1/15 (Because replacing is there so the number of total marbles do not decrease)

Required probability=8/15*1/15

=8/225

=0.035555

After rounding off we will get 0.036.

Hence the probability that the outcome is red then yellow is 0.036.

Question is incomplete. The following line should be included in question:

A jar contains 8 red marbles , a yellow marble and 6 green marbles.

Learn more about probability at brainly.com/question/24756209

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2 years ago
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A 960-square-foot apartment in New York City costs $540,000. What is the price per square foot? $
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Answer:

The price per square foot is $468.75

Step-by-step explanation:

You would take the price and divide it by the square footage.

540,000

-------------    =    468.75

  960

5 0
3 years ago
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