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2 years ago

What is the slope of line m?

Mathematics

1 answer:

Shtirlitz [24]2 years ago

5 0

Given:

A straight line goes through (-2,1), (0,0), and (2,-1).

To find:

The slope of the given line.

Solution:

Slope formula

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

Consider any two points from the given points.

The line goes through (-2,1) and (0,0). So, the slope of the line is

$m=\dfrac{0-1}{0-(-2)}$

$m=\dfrac{-1}{2}$

Therefore, the slope of the line is $m=-\dfrac{1}{2}$ .

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Plz answer worth 98 points! will vote brainliest

RUDIKE [14]

Hi There!

Slope Intercept Form: y = mx + b

Point Slope Form: y - y1 = m(x - x1)

Part A:

Find the slope:

y2 - y1/x2 - x1 = m

12 - 21/3 - 6 = -9/-3 = 3

Slope = 3

Slope Intercept Form: y = 3x + 29

Point Slope Form: y - 21 = 3(x - 3)

Part B:

When scott started on Day 1 he was delivering packages every 29 minutes. By the time he reached Day 10 was delivering packages every 2 minutes. Im not entirely sure about this part.

Hope This helps :)

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3 years ago

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Is the answer for number 3 A or D

joja [24]

It is D because it has divided

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2 years ago

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Find the probability of being dealt a full house. (Round your answer to six decimal places.)?

vesna_86 [32]

I'm assuming a 5-card hand being dealt from a standard 52-card deck, and that there are no wild cards.

A full house is made up of a 3-of-a-kind and a 2-pair, both of different values since a 5-of-a-kind is impossible without wild cards.

Suppose we fix both card values, say aces and 2s. We get a full house if we are dealt 2 aces and 3 2s, or 3 aces and 2 2s.

The number of ways of drawing 2 aces and 3 2s is

$\dbinom42\dbinom43=24$

and the number of ways of drawing 3 aces and 2 2s is the same,

$\dbinom43\dbinom42=24$

so that for any two card values involved, there are 2*24 = 48 ways of getting a full house.

Now, count how many ways there are of doing this for any two choices of card value. Of 13 possible values, we are picking 2, so the total number of ways of getting a full house for any 2 values is

$2\dbinom{13}2\dbinom42\dbinom43=3744$