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lorasvet [3.4K]
2 years ago
9

Write an equation of a line that passes through (0 -5) and (2, -5)

Mathematics
2 answers:
Ivan2 years ago
8 0

Answer:

The line would be a horizontal line through the point y = -2

The equation of the line would therefore be

y

=

−

2

Explanation:

If graph the point

(

0

,

−

2

)

we find that that point is on the y axis and therefore represents the y intercept.

If we then plug in the slope and y intercept into the slope-intercept formula of

y

=

m

b

+

b

where

m

=

the slope the

b

=

the y intercept, then

y

=

m

x

+

b

becomes

y

=

0

x

+

(

−

2

)

which simplifies to

y

=

−

2

Step-by-step explanation:

wlad13 [49]2 years ago
6 0

Solution:

<u>Step-1: Find the slope of the line.</u>

  • Slope = Rise/Run = y₂ - y₁/x₂ - x₁
  • => -5 - (-5)/2 - 0
  • => -5 + 5/2
  • => 0/2 = 0

<u>Step-2: Find the y-intercept.</u>

When looking at point (0 -5), we can see that the x-coordinate is 0.

This means that:

  • The y-intercept must be -5.

<u>Step-3: Create the equation.</u>

  • y = (m)x + (b)
  • => y = 0x + (-5)
  • => y = -5
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Draw an example of a composite figure that has a volume between 750 cubic inches and 900 cubic inches
grigory [225]

Volume:

V \approx 888.02in^3 \\ \\ And, \ 750in^3

<h2>Explanation:</h2>

A composite figure is formed by two or more basic figures or shapes. In this problem, we have a composite figure formed by a cylinder and a hemisphere as shown in the figure below, so the volume of this shape as a whole is the sum of the volume of the cylinder and the hemisphere:

V_{total}=V_{cylinder}+V_{hemisphere} \\ \\ \\ V_{total}=V \\ \\ V_{cylinder}=V_{c} \\ \\ V_{hemisphere}=V_{h}

So:

V_{c}=\pi r^2h \\ \\ r:radius \\ \\ h:height

From the figure the radius of the hemisphere is the same radius of the cylinder and equals:

r=\frac{8}{2}=4in

And the height of the cylinder is:

h=15in

So:

V_{c}=\pi r^2h \\ \\ V_{c}=\pi (4)^2(15) \\ \\ V_{c}=240\pi in^3

The volume of a hemisphere is half the volume of a sphere, hence:

V_{h}=\frac{1}{2}\left(\frac{4}{3} \pi r^3\right) \\ \\ V_{h}=\frac{1}{2}\left(\frac{4}{3} \pi (4)^3\right) \\ \\ V_{h}=\frac{128}{3}\pi in^3

Finally, the volume of the composite figure is:

V=240\pi+\frac{128}{3}\pi \\ \\ V=\frac{848}{3}\pi in^3 \\ \\ \\ V \approx 888.02in^3 \\ \\ And, \ 750in^3

<h2>Learn more:</h2>

Volume of cone: brainly.com/question/4383003

#LearnWithBrainly

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Answer:

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Step-by-step explanation:

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jeka94

Answer:

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Step-by-step explanation:

List all prime factors

15:1,3,5,

27:1,3,

Biggest one is 3

8 0
2 years ago
Read 2 more answers
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