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3 years ago

What is the slope of the line through the points (-4, 6) and (-3, -1)?

Mathematics

2 answers:

liraira [26]3 years ago

8 0

Answer:

$slope=-7$

Step-by-step explanation:

Use the slope formula for when you have two points:

$\frac{y(2)-y(1)}{x(2)-x(1)}$

It is y over x because slope is rise over run : the change in the y-axis over the change in the x-axis. Plug in values:

(-4,6) (-3,-1)

$\frac{-1-6}{-3-(-4)}$

Simplify

$\frac{-1-6}{-3+4}=\frac{-7}{1}$

Simplify

$\frac{-7}{1}=-7$

Done.

andreev551 [17]3 years ago

4 0

Answer:

m= -7

Step-by-step explanation:

using the slope formula, plug in the variables and solve

m=rise/run

m=y2-y1 / x2-x1

(x1, y1) = coordinates of first point in the line

(x2, y2) = coordinates of second point in the line

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What will the temperature be in degrees Fahrenheit when it is 80° Celsius outside? (Recall the formula F = (9C 5) + 32).

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3 years ago

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A circle has a radius of 7.5 centimeters and a central angle AOB that measures 90 degrees. What is the length of the intercepted

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3 years ago

What are the first four terms of the sequence modeled by the recursive formula a n =a n-1 +5, when a1 = -3?

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Step-by-step explanation:

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How many different committees can be formed from 10 teachers and 37 students of the committee consist of three teachers and two

pashok25 [27]

Answer:

79,920 different ways

Step-by-step explanation:

Combination has to do with selection:

If we are to select 3 teachers from a pool of 10 teachers to form a committee, this can be done in 10C3 number of ways.

10C3 = 10!/(10-3)!3!

10C3 = 10!/7!3!

10C3 = 10*9*8*7!/7!3!

10C3 = 10*9*8/3*2

10C3 = 720/6

10C3 = 120 ways

Similarly, selecting five 2 students from a pool of 37 students to form a committee, this can be done in 37C2 difference ways;

37C2 = 37!/(37-2)!2!

37C2 = 37!/35!2!

37C2 = 37*36*35!/35!*2

37C2 = 37*36/2

37C2 = 37 * 18

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Hence the total number of ways that the 5 committees can be selected is expressed as 10C3 * 37C3 = 120 * 666

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3 years ago