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3 years ago

Write an equation of a line parallel to the line y=2x+7 and passing through the point (4,2)

Mathematics

2 answers:

Arlecino [84]3 years ago

8 0

Y = 2x + 7
y = 2(4) + 7
y = 8 + 7
y = 15

y = 2x + 7
2 = 2x + 7
<u>-7 -7</u>
<u>-5</u> = <u>2x</u>
2 2
-2.5 = x

(x y) = (-2.5, 15)

trasher [3.6K]3 years ago

4 0

Y=mx+b
lines are parallels so m=2

y=2x+b
line passing through the point (4,2), so x=4 y=2
put these value in equation
2=2*4+b
2=8+b
b=2-8
b=-6
y=2x-6
Answer: y=2x-6

(verification on the picture)

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There are 6 orange marbles, 2 red marbles, 3 white marbles, and 4 green marbles in a bag. Once a marble is drawn, it IS replaced

professor190 [17]

The probability of selecting two orange marbles with replacement is 36/169.

Data;

Orange= 6
Red = 2
Green = 4

<h3>Probability with replacement</h3>

Since after each draw, the orange marble is replaced.

The total number of marbles in the bag is

6+3+4 = 13

And the number of orange marbles is 6.

For the first selection, the probability of selecting one orange is

$P = \frac{6}{13}$

After drawn and replaced, the probability of selecting another marble is

$P = \frac{6}{13}$

And the probability of selecting two orange marbles with replacement is

$P = \frac{6}{13} * \frac{6}{13} = \frac{36}{169}$

The probability of selecting two orange marbles with replacement is 36/169.

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4 0

2 years ago

PLEASE PLEASE HELP WILL MARK BRAINLIEST

Rama09 [41]

Answer:

The answer is

$\huge y = 3x + 21$

Step-by-step explanation:

To find an equation of a line given the slope and a point we use the formula

$y - y_1 = m(x - x_1)$

where

m is the slope

( x1 , y1) is the point

From the question the point is (−5, 6) and slope = 3

The equation of the line is

$y - 6 = 3(x + 5) \\ y - 6 = 3x + 15 \\ y = 3x + 15 + 6$

We have the final answer as

$y = 3x + 21$

Hope this helps you

4 0

2 years ago

Read 2 more answers

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Rufina [12.5K]

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3 years ago

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lbvjy [14]

If we assume the number of polo shirts have been sold is x, the number of casual shirts have been sold will be 4x.
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2 years ago

Select the correct answer.

Marina CMI [18]

The concept of historical cost in accounting involves valuing business resources at their purchase price. This is further explained below.

<h3>What is the historical cost?</h3>

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In conclusion, valuing business resources at their purchase price is what historical cost is about.