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2 years ago

Determine which lines in the diagram are parallel. A) a || b B) b || c C) a || c D) b || d

Mathematics

1 answer:

spayn [35]2 years ago

7 0

Line a and line c are parallel lines that are given as a || c. Then the correct option is C.

<h3>How are parallel straight lines related?</h3>

Parallel lines have the same slope since the slope is like a measure of steepness and since parallel lines are of the same steepness, thus, are of the same slope.

Since the given parallel line has equation y = 2x + 2, thus its slope is 2 and thus, the slope of the needed line is 2 too.

Then we have

The distance between line a and line c is constant. Then line a and line c are parallel lines.

Line a || line c. Then the correct option is C.

Learn more about parallel lines here:

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Please Help ~ Simple Calc. - Using the graph of g(x) below, answer the following questions:

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Answer:

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Step-by-step explanation:

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Justine is trying to read the most pages of all students in her Language Arts class by the end of the year. The table shows the

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3 years ago

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The equation of a line is y=1/4x-2 What is the equation of the line that is parallel to the first line and passes through (4, –2

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I believe <span>(4, –2) is correct :)</span>

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3 years ago

a cone with a radius 3 units is shown below. it’s volume is 57 cubic units. find the height of the cone

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<u>Given</u>:

Given that the radius of the cone is 3 units.

The volume of the cone is 57 cubic units.

We need to determine the height of the cone.

<u>Height of the cone:</u>

The height of the cone can be determined using the formula,

$V=\frac{1}{3} \pi r^2 h$

Substituting the values, r = 3 and V = 57, we get;

$57=\frac{1}{3} (3.14) (3)^2 h$

Simplifying the terms, we get;

$57=\frac{1}{3} (3.14) (9) h$

Multiplying both sides of the equation by 3, we get;

$171= (3.14) (9) h$

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Dividing both sides of the equation by 28.26, we get;

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3 years ago

8. Write the equation of the line that is parallel to the line 2x + 5y = 15 and passes through the

marissa [1.9K]

Answer:

$\sf y = \bold -\frac{2}{5} x -3$

Explanation:

part A identification for slope:

$\sf 2x + 5y = 15$

$\sf 5y = -2x + 15$

$\sf y = \frac{-2x + 15}{5}$

$\sf y = -\frac{2 }{5} x+3$

comparing with slope intercept form: y = mx + b

we can find that here the slope is $\bold -\frac{2}{5}$

part B, solving the equation:

if the line is parallel, then the slope will be same.

given coordinates: ( - 10, 1 )

using the equation:

y - y₁ = m( x - x₁ )

$\sf y - 1 = \bold -\frac{2}{5} (x --10)$

$\sf y = \bold -\frac{2}{5} x -4 + 1$

$\sf y = \bold -\frac{2}{5} x -3$

Extra information:

check the image below. this proves that the line is parallel and passes through point (-10, 1). the blue line is question line and red the answer line.

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2 years ago

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