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3 years ago

Question 4 of 10

Mathematics

1 answer:

VARVARA [1.3K]3 years ago

5 0

Answer:

A. x=3

Step-by-step explanation:

4(5x+3)=14x+30

multiply 4 to 5x and multiply 4 yo 3

20x+12=14x+30

move terms

20x-14x=30-12

subtract 20x to 14x and subtract 30 to 12

6x=18

divide both sides by 8

x=3

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den301095 [7]

Answer:

Part A)

The equation in the point-slope form is:

$y-11=\frac{4}{3}\left(x-\left(-2\right)\right)$

Part B)

The graph of the equation is attached below.

Step-by-step explanation:

Part A)

Given

The point = (-2, 11)

m = 4/3

The point-slope form of the line equation is

$y-y_1=m\left(x-x_1\right)$

Here, m is the slope and (x₁, y₁) is the point

substituting the values m = 4/3 and the point (-2, 11) in the point-slope form of the line equation

$y-y_1=m\left(x-x_1\right)$

$y-11=\frac{4}{3}\left(x-\left(-2\right)\right)$

Thus, the equation in the point-slope form is:

$y-11=\frac{4}{3}\left(x-\left(-2\right)\right)$

Part B)

As we have determined the point-slope form which passes through the point (-2, 11) and has a slope m = 4/3

The graph of the equation is attached below.

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