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klio [65]
2 years ago
11

Find the slope of the line that contains the points (6, -2) and (-3, 7)

Mathematics
1 answer:
trapecia [35]2 years ago
3 0
\bf \begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
%  (a,b)
&&(~ 6 &,& -2~) 
%  (c,d)
&&(~-3 &,& 7~)
\end{array}
\\\\\\
% slope  = m
slope \implies 
\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{7-(-2)}{-3-6}\implies \cfrac{7+2}{-3-6}\implies \cfrac{9}{-9}\implies -1
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An angle measures 57.2° less than the measure of a supplementary angle. What is the measure of each angle?
vagabundo [1.1K]
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5 0
3 years ago
A man is four times as old as his son. In 3 years, the father will be three times as old as the son. How old is each now?
aivan3 [116]

The man is 27 years old and the son is 9 years old.

We can write the son's age as 'x', and therefore write the man's age as 4x. In 3 years, both their ages will increase by 3, so the son's age is now x + 3, and the man's age is 4x + 3.

We are told that the man is now 3 times older than his son, which means his current age, 4x + 3, is the same as 3 times the son's current age, which is x + 3.

Therefore we can write an equation:

4x + 3 = 3(x + 3)

4x + 3 = 3x + 9

- 3x

x + 3 = 9

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We can now substitute this in to find their current ages:

Son's age = x + 3 = 6 + 3 = 9

Man's age = 4x + 3 = 24 + 3 = 27

I hope this helps! Let me know if you have any questions :)

5 0
2 years ago
Please help me with this
sammy [17]

Answer:

1. C       2. B

Step-by-step explanation:

1. 0.75 is equivalent to 3/4.

We can put this in mixed number form to get 6 3/4.

2. When I was in sixth grade, my teacher taught me a trick to form a number into an improper fraction.

5 \frac{7}{8} =(5*8+7)/8

Multiply the whole number by the denominator, then add the numerator. Then, put that number over the denominator.

47/8. That is B.

Hope it helped!

3 0
2 years ago
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6 0
3 years ago
6. You are interested in a population of mockingbirds on an island. You measured the population size for two years: Population s
Alexeev081 [22]

Answer:

1.3333...

Step-by-step explanation:

We need to know that

\lambda = \frac{N_{t+1}}{N_t}

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Using the data of the problem

\lambda = \frac{100}{75} = 1.333...

so lambda is 1.333...

8 0
3 years ago
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