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2 years ago

A. Find the slope of the line that passes through the points (2,-5) and (-2,3).

Mathematics

1 answer:

r-ruslan [8.4K]2 years ago

8 0

PART A:

Solve for the slope by solving change in y over change in x. We have (3-(-5)/(-2-2) = 8/-4=-2

PART B:

Change in to y=mx+b: -5y = -2x-10. Divide all terms by -5: y = 2/5x + 2. The slope is 2/5 and the y-intercept is 2.

PART C:

Remembering from part a that m=change in y/change in x, we have the equation: -4=1-(-9)/0-x. If we simplify, we have -4=10/0-x. If we multiply both sides from 1/10 we have: -2/5 = -x. So, x = 2/5.

PART D:

We can use point-slope form first:

y-5=-7(x+1). Then we solve the equation! y-5 = -7x-7. After adding 5 to both sides, we have the equation: y=-7x-2.

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1. SAT Math scores in recent years have had means around 490 and standard deviations

tatiyna

Answer:

´The variance is 10000

Step-by-step explanation:

The variance is defined as the square of standard deviation, consequently it is as follows:

σ^2= $100^{2}$

σ^2=10000

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2 years ago

Solve the inequality |6x + 2| < 10 and graph its solution.

mars1129 [50]

This is a modulus inequality.
First part: when (6x + 2) is positive
6x + 2 < 10
6x < 10 - 2
6x < 8
x < 8/6
x < 4/3

Second part: when (6x + 2) is negative.

-(6x + 2) < 10   Divide both sides of inequality by -1 and change the sign.

(6x + 2) > -10
   6x + 2 > -10
   6x > -10 - 2
   6x > -12 Divide both sides by 6.
   x > -12/6
   x > -2.

Combined solution:   x < 4/3 and x > -2

-2 < x < 4/3.

Graph is a line on the number line between -2 and 4/3.

-2 and 4/3 are excluded from solution.

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2 years ago

Simplify (7^6)^2 .....................................

marysya [2.9K]

Answer:

13,841,287,201

Step-by-step explanation:

simply the parenthesis:

7^6 or 7 times itself 6 times: 7x7x7x7x7x7

which equals 117,649 and then multiply that number by itself

117,649x117,649 and you should get 13,841,287,201

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3 years ago

Grace is practicing free throws. The probability that she will shoot the ball into the basket is 5/9 . What is the probability t

Naddika [18.5K]

Answer:

There is a 25/81 probability that Grace will make both of her next two shots.

Step-by-step explanation:

The probability of her making the first shot is 5/9.

The probability of her also making the shot after that is still 5/9, that does not change.

To find the probability of both of those events, multiply the fractions.

5/9 * 5/9

25/81.

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2 years ago

Nadya has 36 blueberries and 45 raspberries that she will be putting into cups of yogurt to make after-school snacks. She wants

sladkih [1.3K]

Answer:

Using GCF (The Greatest Common Factor) the answer = 9

Step-by-step explanation:

The values 36, 45

Solution by Factorization:

The factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, 36

The factors of 45 are: 1, 3, 5, 9, 15, 45

Both 45 and 36 have factors of 1, 2, 3, and 9

1 is less than 2, so 1 is out

2 is less than 3, so 3 is out

9 is greater than 3, so 3 is out

9 is the greatest!

Therefore, the greatest common factor is 9.

The greatest number of cups Nadya can make is 9 cups.

Hope this helps!

Have a good evening! :)

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3 years ago

Read 2 more answers