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RoseWind [281]
3 years ago
5

Tasha wants to graph a line that is parallel to the line with equation y = 3x. Give two examples of linear equations that repres

ent lines she could draw. one that is above the original line and one that is below the original line.​
Mathematics
1 answer:
Arturiano [62]3 years ago
5 0

When two lines are <em><u>parallel, that means they have the same slope! </u></em>

The slope is the coefficient of x

In the equation y = 3x, <u>the slope is 3 </u>

An example of a line that is above y = 3x is ...

y = 3x + 2

The "+2" <em>shifts the line up </em>by 2 on the y axis

An examples of a line that is below y = 3x is ...

y = 3x - 3

The "-3" <em>shifts the line down</em> by 3 on the y axis

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The difference of twice a number and 3 is at most -21
Dmitrij [34]

Answer:

The equation: 2<em>n</em> - 3 ≤ -21

The answer to the equation: <em>n</em> ≤ 9

Step-by-step explanation:

How to get the equation:

<u>The difference of</u> symbolizes subtraction. Because we are subtracting twice a number and 3, the first part of the equation can be written as 2<em>n</em> - 3. The <em>n</em> symbolizes the number.

<u>is at most</u> symbolizes a less than or equal to sign. That sign is ≤. And what is it less than or equal to? -21.

Now are equation is 2<em>n</em> - 3 ≤ -21

How to solve it:

2<em>n</em> - 3 ≤ -21

Add 3 to both sides of the equation

2<em>n</em> ≤ 18

Divide both sides of the equation by 2

<em>n</em> ≤ 9

6 0
3 years ago
Which of the following slopes of a line pass through points (1, -3) and (0, 2)?
Aloiza [94]

The slope of the line that passes through (1, -3) and (0, 2) is: B. m = -5.

<h3>What is the Slope of a Line?</h3>

Slope (m) = rise / run = change in y / change in x.

Given the points, (1, -3) and (0, 2):

Slope (m) = (-3 - 2)/(1 - 0)

Slope (m) = -5/1

Slope (m) = -5

Therefore, the slope of the line is: B. m = -5.

Learn more about the slope of a line on:

brainly.com/question/3493733

#SPJ1

6 0
2 years ago
If R is (-4,7) and S is (-2, 12), what is the component form of the vector RS?
serg [7]

Answer: (-6,19)

Step-by-step explanation:

Add -4 and -2

then add both y1 and y2

5 0
3 years ago
Help asap!!!
dangina [55]

\bf \textit{arc's length}\\\\ s=\cfrac{\theta \pi r}{180}~~ \begin{cases} r=radius\\ \theta =angle~in\\ \qquad degrees\\[-0.5em] \hrulefill\\ r=6.5\\ s=5.7 \end{cases}\implies 5.7=\cfrac{\theta \pi (6.5)}{180}\implies 1026=6.5\pi \theta \\\\\\ \cfrac{1026}{6.5\pi }=\theta \implies \stackrel{\textit{rounded up, using }\pi =3.14}{50.27=\theta }

3 0
3 years ago
Find the volume of a rectangular prism with a length of 2.4 ft, a height of 4.5 ft, and a width of 1.3 ft.
Dima020 [189]

Answer:

14.04 ft^3

Step-by-step explanation:

2.4 ft x 4.5 ft x 1.3 = 14.04 ft^3

6 0
3 years ago
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