2+266666662724683745946198753278313=

Which ordered pairs could be points on a line parallel to the line that contains (3, 4) and (–2, 2)? Check all that apply.

Aleksandr-060686 [28]

Answer:

Step-by-step explanation:

As we go from (–2, 2) to (3, 4), x increases by 5 and y increases by 4. Thus, the slope of the line through (–2, 2) and (3, 4) is

m = rise / run = 4/5.

Use the slope-intercept form of the equation of a straight line:

y = mx + b becomes 4 = (4/5)(3) + b. Multiplying all three terms by 5, we eliminate the fraction: 20 = 12 + b. Thus, b = 8, and the equation of the line through (–2, 2) and (3, 4) is y = (4/5)x + 8.

A line parallel to this one would have the form y = (4/5)x + b; note that the slopes of these two lines are the same, but the y-intercept, b, would be different if the two lines do not coincide.

Unfortunately, you have not shared the ordered pairs given in this problem statement.

You could arbitrarily let b = 0. Then the parallel line has equation

y = (4/5)x; if x = 3, then y = (4/5)(3) = 12/5, and so (3, 12/5) lies on the parallel line.

3 0

2 years ago

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I will give brainleist

Goshia [24]

Let's write the equation in standard from

$y = mx + b$

Where,

m is slope or rate of change
b is the y-intercept or initial value

<h3>Let's start by finding slope⤵️</h3>

$\boxed{ \sf \: m = \frac{ y_{2} - y_{1} }{ x_{2} - x_{1}}}$

x1, y1 = 0,12
x2, y2 = 1,13

$\tt \: m = \frac{13 - 12}{1 - 0}$

$\tt \: m = \frac{1}{1}$

$\tt \: m = 1$

b = 12

<h3>Equation⤵️</h3>

$\sf \: y = 1x + 12$

8 0

1 year ago

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About 1.75 million people live in a circular region with a 15-mile diameter. Find the population density in people per square mi

pav-90 [236]

About 1.75 million people live in a circular region with a 15-mile diameter. Find the population density in people per square mile.

Solution: We are given that the population of a circular region = 1.75 million = $1,075,000$

Also we are given the circular region has a diameter = 15 mile

Which means the radius of region $\frac{15}{2}=7.5$ mile

Therefore, the area of the circular region $=\pi r^{2}$

$=3.14 \times 7.5^{2}$

$=176.625$

Now the population density per square mile is:

$\frac{1075000}{176.625}$

$6086.34 \approx6086$

Therefore, the population density per square mile is 6086

5 0

2 years ago

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A rectangular prism kiddie pool is 7 feet wide, 6 feet long, and 10 feet tall. When the day started the pool was completely full

kaheart [24]

Answer:

The volume of water in the kiddie pool after 3 hours will be 357 cubic feet (ft³)

Height is the dimension that would relate to water level.

Step-by-step explanation:

The volume of a rectangular prism can be calculated using the formula

$V = lwh$

$V$ is the volume

$l$ is the length

$w$ is the width

and $h$ is the height

From the question,

When the day started the pool was completely full of water, that is, the volume of water in the pool will be the capacity of the rectangular prism kiddie pool.

From the question,

$l$ = 6 feet

$w$ = 7 feet

$h$ = 10 feet

Hence,

$V = 6 feet \times 7 feet \times 10 feet$