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Snowcat [4.5K]
3 years ago
5

Use the slope formula to find the slope of the line passing through the given points.

Mathematics
1 answer:
irina1246 [14]3 years ago
3 0
The slope is undefined because it is a vertical line on the x axis at 0. Its a straight line going up
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Number of Packets
Alex

Answer:

13. D = 18

14. S = (x, y + 6)

Step-by-step explanation:

13.

Given

M = (-8,2)

S = (10,2)

Required

Determine the distance between M and S

Distance (D) is calculated using:

D = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}

Where

(x_1,y_1) = (-8,2)

(x_2,y_2) = (10,2)

D = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}

D = \sqrt{(10 - (-8))^2 + (2 - 2)^2}

D = \sqrt{(10 +8)^2 + 0^2}

D = \sqrt{18^2 + 0}

D = \sqrt{18^2}

D = 18

<em>Hence, the distance between M and S is 18 units</em>

<em></em>

14.

The coordinate of S and P are not given,

So, I'll just use (x,y) for P

i.e.

P=(x,y)

Required

Determine the coordinates of S

If S is 6 units above P, then the coordinates of S is

S = (x, y + 6)

<em>i.e. we add the units to the y coordinate of P.</em>

8 0
3 years ago
2 3 (0, 3) and (3, 0) (-2,-5) and (3, 0) 0 (-1,0) and (3, 0) ​
Murljashka [212]

Answer:

Note that the line has a y-intercept at (0, 2), with slope m=1 m = 1 . Example 6: Find the equation of the line passing through (−1, 3) and (5, 1). Solution: First, find m, the slope. Given two points, use the slope formula

4 0
2 years ago
Describe the dimensions of two different prisms that each have a volume is 2,400 cubic centimeters
Phantasy [73]
One prism with a volume of 2400 might have a rectangular base with a length of 4 and a width of 5, as well as a height of 120. 

V = l x w x h
V = 4  x 5 x 120
V = 2400

This prism would essentially look like a really tall rectangle, since the height is such a large number. I wouldn't accurately represent the units on graph paper, if I were you. Just label the sides with the numbers I gave you.

Another prism with a volume of 2400 might be a rectangular prism with a length of 8, a width of 10, and a height of 30. 

V = l x w x h
V= 8 x 10 x 30
V = 2400

This would also be a tall rectangle, although it isn't as tall. Keep in mind that l x w x h is only the volume formula for a rectangular prism. I only used rectangular prisms because they would be the easiest for this example. A triangular prism has a different volume formula.
3 0
3 years ago
At the local college, a study found that students earned an average of 14 credit hours per semester. A sample of 138 students wa
77julia77 [94]

Answer:

1932 credit hours

Step-by-step explanation:

Create a proportion

credits             credits

----------     =      ----------

students          students

14      ?

---- = -----

1         138

14 times 138

1932 credit hours

6 0
2 years ago
HELP!!! What are the quotient and remainder when x^3 + 9x^2 + 21x + 24 is divided by x + 2? PLEASE HELP
Sedaia [141]

Answer:

A) The quotient is x^2+7x+7 and the remainder is 10.

Step-by-step explanation:

Set up the synthetic division using the coefficients of the numerator and the root in the denominator. Divide using the rules for synthetic division.

4 0
2 years ago
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