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3 years ago

Find the slope of the line that contains the points (11, 8) and (17, 26)

Mathematics

2 answers:

amm18123 years ago

5 0

Answer:

Step-by-step explanation:

We can use the slope formula:

$m=\frac{y_2-y_1}{x_2-x_1}$

Let's let (11,8) be x₁ and y₁ and let's let (17,26) be x₂ and y₂. So:

$m=\frac{26-8}{17-11}$

Subtract:

$m=18/6=3$

So, our slope is 3.

And we're done!

Sunny_sXe [5.5K]3 years ago

5 0

Answer:

Step-by-step explanation:

(26 - 8)/(17 - 11)= 18/6 = 3 is the slope

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3 years ago

The highest point in the United States is Mount McKinley in Alaska. Its summit is 20,335 feet above sea level. Badwater, a basin

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Step-by-step explanation:

20,335 - 282 = 20,053

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3 years ago

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If n is a positive integer, how many 5-tuples of integers from 1 through n can be formed in which the elements of the 5-tuple ar

erma4kov [3.2K]

Answer:

$\frac{(n+4)*(n+3)*(n+2)*(n+1)*n}{120}$

Step-by-step explanation:

Given

5 tuples implies that:

$n = 5$

$(h,i,j,k,m)$ implies that:

$r = 5$

Required

How many 5-tuples of integers $(h, i, j, k,m)$ are there such that $n\ge h\ge i\ge j\ge k\ge m\ge 1$

From the question, the order of the integers h, i, j, k and m does not matter. This implies that, we make use of combination to solve this problem.

Also considering that repetition is allowed: This implies that, a number can be repeated in more than 1 location

So, there are n + 4 items to make selection from

The selection becomes:

$^{n}C_r => ^{n + 4}C_5$

$^{n + 4}C_5 = \frac{(n+4)!}{(n+4-5)!5!}$

$^{n + 4}C_5 = \frac{(n+4)!}{(n-1)!5!}$

Expand the numerator

$^{n + 4}C_5 = \frac{(n+4)!(n+3)*(n+2)*(n+1)*n*(n-1)!}{(n-1)!5!}$

$^{n + 4}C_5 = \frac{(n+4)*(n+3)*(n+2)*(n+1)*n}{5!}$

$^{n + 4}C_5 = \frac{(n+4)*(n+3)*(n+2)*(n+1)*n}{5*4*3*2*1}$

$^{n + 4}C_5 = \frac{(n+4)*(n+3)*(n+2)*(n+1)*n}{120}$

Solved

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3 years ago

Melaine charges $4.50 per hour when she washes cars, plus $5.00 for supplies. Which function rule represents the amount y melain

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Answer:

B y= 4.50x + 5.00

Step-by-step explanation:

4.50 is the “mx” in y=mx+b also known as the Slope that moves.

the 5 is the ”b” which is the y-intercept. It is a constant and does not change.

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4 years ago

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Answer: point form

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Step-by-step explanation:

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3 years ago

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