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4 years ago

Write an equation of the line that is parallel to the given line

1 answer:

4 0

Slope-intercept form of a line:
y=mx+b
m=slope

We have this equation of a line:
y=2x+3
The slope of the line will be; m=2
Ohter line that is parallel to this line(y=2x+3) will have the same slope, therefore the slope will be: m=2

Point-slope form: we need a point (x₀,y₀) and the slope:
y-y₀=m(x-x₀).

We have thel point (-4,1) and the slope:
therefore:
y-1=2(x+4) (point-slope form)
y-1=2x+8
y=2x+8+1
y=2x+9 (slope-intercept form).

answer: the equation of the line that is parallel to this line y=2x+3 , is:
y=2x+9

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Find the area <br> I need to see if my answer right lol

Artemon [7]

Answer:

15 yd²

Step-by-step explanation:

The area (A) of a triangle is calculated using the formula

A = $\frac{1}{2}$ bh ( b is the base and h the perpendicular height )

here b = 10 and h = 3, hence

A = $\frac{1}{2}$ × 10 × 3 = 15 yd²

5 0

4 years ago

Read 2 more answers

linda scored 35, 47, and 42 points on three tests. how many points should she get on the fourth test to get an average score of

aliya0001 [1]

(35 + 47 + 42 + x) / 4 = 50
(124 + x) / 4 = 50....multiply both sides by 4, cancelling the 4 on the left side.
124 + x = 50 * 4
124 + x = 200
x = 200 - 124
x = 76 <===

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3 years ago

Multiplying (x + 4)(x + 2)

Oksana_A [137]

Answer:

x^2+8x+8

Step-by-step explanation:

Distribute x^2 to x+2, which is x^2+4x.

Then, distribute 4 to (x+2), which is 4x+8

Add the like terms

x^2+4x+4x+8

x^2+8x+8

3 0

3 years ago

Read 2 more answers

Write an equation to represent each function. Help with these two

nikklg [1K]

10y=x because if you multiply your y by 10, you would get the x

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4 years ago

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One institute mandates that for every 100 items scanned through the electronic checkout scanner at a retail store, no more than

ozzi

Answer:

There is a 20% probability that the store selected does not violate the institute scanner accuracy standard

Step-by-step explanation:

70 company stores were investigared.

56 violated the institute's scanner accuracy standard.

70-56 = 14 did not violate the institute scanner accuracy standard.

If 1 of the 70 company stores is randomly selected, what is the probability that that store does not violate the institute scanner accuracy standard?

This is 14 divided by 70, so:

$P = \frac{14}{70} = 0.2$

There is a 20% probability that the store selected does not violate the institute scanner accuracy standard

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3 years ago