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2 years ago

Line k is graphed at right.

Mathematics

1 answer:

saw5 [17]2 years ago

5 0

Answer:

See below ↓↓

Step-by-step explanation:

Equation of line k

y = mx + b
m = Δy/Δx (ratio of change in y to change in x) = 2/3
b = 3 (as y-intercept is [0,3])
⇒ y = 2/3x + 3

a. parallel line

For parallel lines, slope (m) remains the same, but the y-intercept (b) changes
⇒ y = 2/3x + 1

b. perpendicular line

For perpendicular lines, the slope (m) is the negative reciprocal of the original line and the value of b stays the same [it can be any point as long as it intersects the line]
⇒ y = -3/2x + 1

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A runner can run 5 miles in 26 minutes at this rate how many miles can he run and 41.6 minutes?

diamong [38]

Answer:

8 miles

Step-by-step explanation:

Given: A runner can run 5 miles in 26 minutes, 41.6 minutes = ___

To find: At this rate, how many miles can he run and 41.6 minutes?

Solution: If the runner ran 5 miles in 26 minutes, to find how far he ran in 41.6 minutes, set up a fraction:

let x be the variable

$\frac{26}{5} = \frac{41.6}{x}$

Apply fraction cross multiply;

$26x=5\cdot \:41.6$

$26x = 208$

Divide both sides by 26

$\frac{26x}{26}=\frac{208}{26}$

Simplify

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Then, at the rate, the runner ran 8 miles 41.6 minutes

8 0

3 years ago

Read 2 more answers

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Lorico [155]

Answer:

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Step-by-step explanation:

expand out the brackets to get:

X²+9x+7x-63

simplify:

X²+16x-63

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3 years ago

What is the value of the expression below when w=7 and x=2? 3w - 4x

Phoenix [80]

Answer:

Step-by-step explanation:

3(7)-4x

3(7)-4(2)

21-8

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3 years ago

The smaller pyramid has a volume of 52 inchesWhat

Leto [7]

Answer:see the picture to better understand the problem

we know that

scale factor=12/8----> 1.5

volume larger pyramid=scale factor³*volume smaller pyramid

scale factor=1.5

volume smaller pyramid=52 in³

volume larger pyramid=1.5³*52-----> 175.5 in³

the answer is

175.5 in³

Step-by-step explanation:

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goblinko [34]

Answer:

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Step-by-step explanation:

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4 years ago