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Musya8 [376]
2 years ago
8

What is the slope of the line?​

Mathematics
2 answers:
Kisachek [45]2 years ago
6 0

Answer:

-2

Step-by-step explanation:

Maksim231197 [3]2 years ago
5 0

Answer:

The slope of a line characterizes the direction of a line.

Step-by-step explanation:

To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points.

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Math help Please!!!!
GalinKa [24]

Part A. What is the slope of a line that is perpendicular to a line whose equation is −2y=3x+7?

Rewrite the equation  −2y=3x+7 in the form y=-\dfrac{3}{2}x-\dfrac{7}{2}. Here the slope of the given line is  m_1=-\dfrac{3}{2}. If m_2 is the slope of perpendicular line, then

m_1\cdot m_2=-1,\\ \\m_2=-\dfrac{1}{m_1}=\dfrac{2}{3}.

Answer 1: \dfrac{2}{3}

Part B. The slope of the line y=−2x+3 is -2. Since -\dfrac{3}{2}\neq -2\quad \text{and}\quad \dfrac{2}{3}\neq -2, then lines from part A are not parallel to line a.

Since -2\cdot \left(-\dfrac{3}{2}\right)=3\neq -1\quad \text{and}\quad -2\cdot \dfrac{2}{3}=-\dfrac{4}{3}\neq -1, both lines are not perpendicular to line a.

Answer 2: Neither parallel nor perpendicular to line a

Part C. The line parallel to the line 2x+5y=10 has the equation 2x+5y=b. This line passes through the point (5,-4), then

2·5+5·(-4)=b,

10-20=b,

b=-10.

Answer 3: 2x+5y=-10.

Part D. The slope of the line y=\dfrac{x}{4}+5 is \dfrac{1}{4}. Then the slope of perpendicular line is -4 and the equation of the perpendicular line is y=-4x+b. This line passes through the point (2,7), then

7=-4·2+b,

b=7+8,

b=15.

Answer 4: y=-4x+15.

Part E. Consider vectors \vec{p}_1=(-c-0,0-(-d))=(-c,d)\quad \text{and}\quad \vec{p}_2=(0-b,a-0)=(-b,a). These vectors are collinear, then

\dfrac{-c}{-b}=\dfrac{d}{a},\quad \text{or}\quad -\dfrac{a}{b}=-\dfrac{d}{c}.

Answer 5: -\dfrac{a}{b}=-\dfrac{d}{c}.

5 0
3 years ago
Read 2 more answers
Find the range of the following equation for the domain {-4, 0, 3} f (x) = -2x^2 -3
Tamiku [17]

The range of the function is {-34, -2, -20}

<h3>How to determine the range?</h3>

The function is given as:

f(x) = -2x^2 - 2

The domain is {-4, 0, 3}

Substitute the domain values in the function.

f(-4) = -2(-4)^2 - 2 = -34

f(0) = -2(0)^2 - 2 = -2

f(3) = -2(3)^2 - 2 = -20

This means that the range of the function is {-34, -2, -20}

Read more about range at:

brainly.com/question/10197594

#SPJ1

7 0
2 years ago
You made 1⁄2 quart of lemonade. How many 1⁄4 quart-sized glasses will you be able to fill with lemonade
KatRina [158]

Answer:

Hey! I believe this is your answer:

4 glasses

Hope this helped!

Step-by-step explanation:

4 0
2 years ago
SOMEONE PLS HELP<br> Find the volume.
Minchanka [31]

Answer: The answer is 600 cm.

Step-by-step explanation:

6 0
3 years ago
Type the correct answer in the box. Figure 1 is similar to figure 2. The height of the cone in figure 2 is centimeters.
Ber [7]

Answer:

32 centemeters

Step-by-step explanation:

8 0
3 years ago
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