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3 years ago

Write in slope-intercept form of the equation of the line through the given point. Through: (-3,-3) and (4,0)

Mathematics

2 answers:

adoni [48]3 years ago

6 0

Answer:

y = 3/7 x - 12/7

Step-by-step explanation:

The slope is (0+3)/(4+3) = 3/7

So, now you have a point and a slope, so use the point-slope form. That gives you

y-0 = 3/7 (x-4)

Now just rearrange to slope-intercept form.

y = 3/7 x - 12/7

Eduardwww [97]3 years ago

4 0

You have to use the y2-y1 over x2-x1.
So, let's plug the numbers in.
(-3,-3)
^ ^
X1 Y1
(4,0)
^ ^
X2 Y2
So, that would be
0-(-3)
——
4-(-3)
The two subtraction signs counteract and become a positive, or addition symbol. So it would be
0+3
——
4+ 3
Do the addition to get 3 over 7 or
3
—
7

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Jasmine is riding on a carousal. She is sitting 9.5 feet from the center and it takes 20 seconds to

rusak2 [61]

Answer:

2.983 ft/sec

Step-by-step explanation:

Given that

Distance between center and Jasmine riding on a carousal = 9.5 feet

Time taken to complete one rotation = 20 seconds

To find:

Jasmine's linear speed = ?

Solution:

Number of revolutions per minute = $\frac{60}{20} = 3$

Formula for linear speed is given as:

$v=\dfrac{2\pi}{60}\cdot r\cdot RPM$

Where $r$ is the radius of circular path and

$RPM$ is the number of revolutions per minute.

$v=\dfrac{2\pi}{60}\times 9.5 \times 3\\\Rightarrow v=\dfrac{\pi}{10}\times9.5 \\\Rightarrow v = \bold{2.983\ ft/sec}$

Therefore, the linear speed is 2.983 ft/sec.

5 0

3 years ago

An expression is shown.

Vikki [24]

Answer:

Step-by-step explanation:

2+8+3_5x1

7 0

3 years ago

A t-shirt launcher can launch 6 shirts in 30 minutes. What is the number of shirts per hour?

Ilya [14]

Answer:

12 shirts

Step-by-step explanation:

If a T-Shirt Launcher can launch 6 shirts in 30 minutes, that means it can launch 12 shirts in an hour, because there are 60 minutes in a hour, and 30 minutes is half os 60 minutes, so we just do 6 x 2 = 12.

6 0

2 years ago

Read 2 more answers

Find the surface area of each shipping package. Which package has the greater surface area? Does the same package have a greater

Kryger [21]

Answer:

greater area: A
no, B has the greater volume

Step-by-step explanation:

The relevant area and volume formulas are ...

A = 2(LW +H(L +W))

V = LWH

When there are multiple instances of the calculations to be done, it is convenient to let a spreadsheet do them. The results are attached.

Figure A has the larger area.

Figure B has the larger volume.

Additional comment

The more "cube-like" the prism is, the less area it will have for the same volume. Here, package B is more "cube-like" than package A. (The ratio of largest-to-smallest dimensions is smaller for package B.)

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1 year ago

-v + 5 + 4v = 1 + 5v + 3

leonid [27]

5+4v-v=1+3+5v
5+3v=4+5v
minus 3v both sides
5+3v-3v=4+5v-3v
5+0=4+2v
5=4+2v
minus 4 both sides
5-4=4-4+2v
1=0+2v
1=2v
divide both sides by 2
1/2=v

3 0

3 years ago

Read 2 more answers