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cluponka [151]
4 years ago
7

Find the slope of the 2 points given using the slope formula.

Mathematics
1 answer:
nydimaria [60]4 years ago
7 0

Answer:

The equation of the line is y = -2x - 1

Step-by-step explanation:

To find the slope, start by using the slope formula with both of the points.

m(slope) = (y2 - y1)/(x2 - x1)

m = (3 - -7)/(-2 - 3)

m = 10/-5

m = -2

Now that we have the slope, use it along with either point in point-slope form.

y - y1 = m(x - x1)

y - 3 = -2(x + 2)

y - 3 = -2x - 4

y = -2x - 1

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three of four numbers have a sum of 22. if the average of the four numbers is 8, what is the fourth number?
MakcuM [25]
The 4th number is 10, since you need to add 10 to get 32 so that when you divide by 4 you get 8
4 0
4 years ago
Read 2 more answers
Find all solutions to the following equation. If there are any extraneous solutions, identify them and explain why they are extr
vagabundo [1.1K]

Answer:

b = 3, which is an extraneous solution because if we replace b = 3 in the equation, we must be 5/0 and 30/0, and there is division by 0.

Step-by-step explanation:

\frac{7}{b+3} + \frac{5}{b-3} = \frac{10b}{b^2-9}

The minus common multiply must be (b-3)*(b+3) = b² - 9

\frac{7*(b-3)}{b^2-9} + \frac{5*(b+3)}{b^2 -9}  = \frac{10b}{b^2-9}

7b - 21 + 5b + 15 = 10b

2b = 6

b = 3

Which is an extraneous solution because if we replace b = 3 in the equation, we must be 5/0 and 30/0, and there is division by 0. So this solution is invalid.

7 0
3 years ago
Which problem is best modeled by the equation 3 +8=n?
Irina18 [472]

Answer:

i would say the one about joes math class because the cantaloupes uses multiplication, the basketball one is idek and the last one is division. joe's is the best answer

Step-by-step explanation:

6 0
3 years ago
A box contains 19 large marbles and 10 small marbles. Each marble is either green or white. 8 of the large marbles are green, an
notsponge [240]

Answer:

25/29

Step-by-step explanation:

see the attached picture.

7 0
3 years ago
An urn contains 3 red and 7 black balls. Players A and B take turns (A goes first) withdrawing balls from the urn consecutively.
andrey2020 [161]

Answer:

The probability that A selects the first red ball is 0.5833.

Step-by-step explanation:

Given : An urn contains 3 red and 7 black balls. Players A and B take turns (A goes first) withdrawing balls from the urn consecutively.

To find : What is the probability that A selects the first red ball?

Solution :

A wins if the first red ball is drawn 1st,3rd,5th or 7th.

A red ball drawn first, there are E(1)= ^9C_2 places in which the other 2 red balls can be placed.

A red ball drawn third, there are E(3)= ^7C_2 places in which the other 2 red balls can be placed.

A red ball drawn fifth, there are E(5)= ^5C_2 places in which the other 2 red balls can be placed.

A red ball drawn seventh, there are E(7)= ^3C_2 places in which the other 2 red balls can be placed.

The total number of total event is S= ^{10}C_3

The probability that A selects the first red ball is

P(A \text{wins})=\frac{(^9C_2)+(^7C_2)+(^5C_2)+(^3C_2)}{^{10}C_3}

P(A \text{wins})=\frac{36+21+10+3}{120}

P(A \text{wins})=\frac{70}{120}

P(A \text{wins})=0.5833

6 0
4 years ago
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