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frez [133]
3 years ago
9

Write the equation of the line that passes through the points (-1,3) and (-6, -7).

Mathematics
1 answer:
salantis [7]3 years ago
7 0

Answer:

y - 3 = 2(x + 1)

Step-by-step explanation:

First, use rise over run to find the slope

(y2 - y1) / (x2 - x1)

(3 + 7) / (-1 + 6)

10 / 5

= 2

Now, plug in the slope and a point into the point slope formula:

y - y1 = m(x - x1)

y - 3 = 2(x + 1)

So, the equation in point slope form is y - 3 = 2(x + 1)

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Help me find Sample variance and standard deviation
AnnZ [28]
First, find the mean. You'll need it to compute the variance.

\bar x=\displaystyle\frac15\sum_{i=1}^5x_i=\dfrac{21+10+6+7+11}5=11

The variance of the sample is then computed with the formula

s^2=\displaystyle\dfrac1{5-1}\sum_{i=1}^5(\bar x-x_i)^2=\dfrac{(21-11)^2+\cdots+(11-11)^2}4=\dfrac{71}2=35.5

The standard deviation is the square root of the variance, so

s=\sqrt{35.5}\approx5.958
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3 years ago
Please help asap for brainleist​
boyakko [2]

Answer:

54.25%

Step-by-step explanation:

The percent change is given by:

p=\frac{final-initial}{initial} × 100

Plugging all the values,

p=\frac{94-43}{94} × 100

P=54.25%%

Therefore, the percent change from 94 to 43 is 54.25%

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3 years ago
during the new year celebration there are orange, green purple, and blue fireworks. In how many different orders can the differe
WINSTONCH [101]
There are 256 possible combinations of fireworks, if they can be repeated in each 4 firework combinations.
If they cannot be repeated, there are 24 possible combinations.
7 0
3 years ago
If the greatest value the variable n can be is 6, which of the following inequalities best shows all the possible values of n?
Hunter-Best [27]
<span>The answer has to be "n ≤ 6" because the greatest "n" CAN be is 6, so "n can=6", but it can also be smaller.</span>
5 0
3 years ago
Read 2 more answers
4 men and 6 boys can finish a piece work in 5 days while 3 men and 4 boys can finish it in 7 days. find the time taken by 1 man
Anon25 [30]

Answer:

Number of days taken by 1 man alone and 1 boy alone are 35 days and 70 days respectively.

Step-by-step explanation:

Let, the work completed by 1 man in 1 day = x and the work completed by 1 boy in 1 day = y.

So, 4 men and 6 boy's 1 day work is \frac{4}{x} and \frac{6}{y}

And, 3 men and 4 boy's 1 day work is \frac{3}{x} and \frac{4}{y}

Since, 4 men and 6 boys complete the work in 5 days and 3 men and 4 boys complete the work in 7 days.

So, we have,

\frac{4}{x}+\frac{6}{y}=\frac{1}{5}

\frac{3}{x}+\frac{4}{y}=\frac{1}{7}

Let, u=\frac{1}{x} and v=\frac{1}{y}

So, the equations are,

4u+6v=\frac{1}{5}  ................(1)

3u+4v=\frac{1}{7}  ................(2)

Multiply (1) by 3 and (2) by 4 and subtract the equations, we get,

2v=\frac{1}{35} i.e. v=\frac{1}{70} i.e. \frac{1}{y}=\frac{1}{70} i.e. y = 70.

Substitute value of 'v' in (1) gives,

4u+\frac{6}{70}=\frac{1}{5} i.e. 4u=\frac{-6}{70}+\frac{1}{5} i.e. 4u=\frac{8}{70} i.e. u=\frac{8}{70\times 4} i.e. u=\frac{1}{35} i.e. \frac{1}{x}=\frac{1}{35} i.e. x = 35

So, the number of days taken by 1 men alone and 1 boy alone are 35 days and 70 days respectively.

4 0
4 years ago
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