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3 years ago

Find the slope of the given points (6, -10) and (-15, 15). Show your work.

Mathematics

1 answer:

charle [14.2K]3 years ago

6 0

Answer:

Step-by-step explanation:

The slope of a line between two points can be calculated by dividing the difference of y values by the difference of x values

in this case

$m = \frac{y_2-y_1}{x_2-x_1} = \frac{15-(-10)}{-15-6} = \frac{25}{-21} = \frac{-25}{21}$

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The inequity of Six times a number x is at least −24

professor190 [17]

Answer:

6x ≥ -24

x ≥ -4

Step-by-step explanation:

the inequality of Six times a number x is at least −24

6x ≥ -24

Divide each side by 6

6x/6 ≥ -24/6

x ≥ -4

5 0

3 years ago

It's possible to build a triangle with a side lengths of 5, 5, and 10

yawa3891 [41]

Yeah, base is ten and the two sides are 5...

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3 years ago

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If three quarters of a number decreased by twenty is equal to eighty two, what is that number?

Studentka2010 [4]

A number is :

$x$

_________________________________

Three quarters of it means :

$\frac{3}{4}x \\$

_________________________________

Decrease by 20 means :

$\frac{3}{4}x - 20 \\$

_________________________________

Equals to 82 means :

$\frac{3}{4}x - 20 = 82 \\$

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What is that number ?

x asked so we must solve the above equation for x.

Let's do it....

$\frac{3}{4}x - 20 = 82 \\$

Plus sides 20

$\frac{3}{4}x = 82 + 20 \\$

$\frac{3}{4}x = 102 \\$

Multiply sides by 4

$3x = 102 \times 4$

Divided sides by 3

$x = \frac{102 \times 4}{3} \\$

$x = \frac{102}{3} \times 4 \\$

Simplify

$x = 34 \times 4$

$x = 136$

So that number is 136 .

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And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

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3 years ago

The functions f, g and h are as follows:

Basile [38]

Answer:

wik2k2k2kw

Step-by-step explanation:

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3 years ago

A student flips a fair coin 6 times. Answer the following questions: 1. Suppose that after flipping the coin all six times the e

VashaNatasha [74]

Answer:

1. 7 outcomes.

2. 64 outcomes.

3. D and H

Step-by-step explanation:

1. The experimenter will record the total number of heads after flipping the coin 6 times, therefore, the possible outcomes are: the experimenter got 0 heads, the experimenter got 1 head,..., the experimenter got 6 heads. Therefore there are 7 possible outcomes: (0, 1, 2, 3, 4, 5, 6).

2. If the experimenter records the result after each flip (H or T), for the first flip she has 2 results (heads or tails), for the second one she has 2 results, same for the third, fourth, fifth and sixth flip.

Therefore the possible outcomes are: $(2)(2)(2)(2)(2)(2)=2^{6}=64$ .

3. Now the experimenter will end up the experiment earlier if she gets two tails or two heads in a row.

A.TTHTT is not possible because in this case she would've ended up the experiment after the second flip since she got two tails.

B.TTH is not possible either for the same reason.

C. HT is not possible because she still needs to get another T or two H in a row.

D. This is a possible outcome because in this one she flipped the coin 6 times and she didn't get two heads or two tails in a row so she didn't finish it earlier.

E. Is not possible because she should've stopped after the second flip.

F. Is not possible because it has 7 letters, therefore, 7 flips.

G. Is not possible because she should've stopped once she got heads in the fourth and fifth flip.

H. Is possible because she got heads in the second and third flip.

6 0

2 years ago