PLEASE HELP I WILL AWARD BRAINLIEST

Find the equation of the line passing through the points (3,7) and (-2,5)

r-ruslan [8.4K]

Answer:

The equation of the line passing through the points (3,7) and (-2,5) is y=⅖x+29/5

Step-by-step explanation:

Greetings !

$first \: find \: the \: slope \: m \\ m = \frac{(Y₂-Y₁)}{(X₂-X₁)} ..substitute \: vlues \\ m = \frac{(5 - 7)}{( - 2 - 3)} = \frac{ - 2}{ - 5} = \frac{2}{5} \\ y = mx + b \: to \: find \: equation \: of \: aline \\ between \: two \: poins and \: use \: \\ one \: of \: the \: two \: points \: lets \: take( - 2.5) \\ y = mx + b \\ 5 = \frac{ - 2}{5} ( - 2) + b \\ 5 = \frac{ - 4}{5} + b \\ 5 + { - 4}^{5} = b \\ \frac{25 + 4}{5} = b \\ b = \frac{29}{5} \\ finally \: equation \: of \: the \: line \: will \: be \\ y = \frac{2}{5} x + \frac{29}{5}$

7 0

2 years ago

A group of 8 friends each buy 1 ticket and 1 small popcorn at the movie

ivolga24 [154]

Answer:

1 Small popcorn cost $2.95

Step-by-step explanation:

7.50 * 8 = 60

83.60 - 60 = $23.60

23.60 / 8 = $2.95

6 0

3 years ago

Alondra received a 14% hourly raise, but the number of hours worked decreased by 7.5%. If her wage was $10.50 an hour and she wo

Elodia [21]

Answer:

She will earn $442.89 in one week after the changes.

And this is more than her previous weekly earnings.

Step-by-step explanation:

Given:

Alondra received a 14% hourly raise, but the number of hours worked decreased by 7.5%. If her wage was $10.50 an hour and she worked 40 hours per week before the changes.

Now, to find money she will earn in one week after the changes.

Her wage was = $10.50.

She worked per week = 40 hours.

So, her salary before changes:

$10.50\times 40\\\\=\$420.$

Thus, the salary per week before changes is $420.

Now, to get her salary after 14% hourly raise:

$10.50+14\%\ of\ 10.50\\\\=10.50+\frac{14}{100} \times 10.50\\\\=10.50+1.47\\\\=11.97$

Salary after hourly raise = $11.97 per hour.

Then, to get the number of hours worked decreased by 7.5%:

$40-7.5\%\ of\ 40\\\\=40-\frac{7.5}{100} \times 40\\\\=40-3\\\\=37.$

Number of hours per week after hours of worked decreased = 37 hours.

Now, to get the salary after changes:

Salary after hourly raise × number of hours per week after hours of worked decreased

$=11.97\times 37$

$=\$442.89.$

Salary after changes in one week = $442.89.

As, the previous salary was $420 in one week. 

And after changes this salary is $442.89 in one week which is more than previous. 

Therefore, she will earn $442.89 in one week after the changes.

And this is more than her previous weekly earnings.

4 0

3 years ago

The probability of a dry summer is equal to 0.3, the probability of a wet summer is equal to 0.2, and the probability of a summe

brilliants [131]

Answer:

s

Step-by-step explanation:

4 0

3 years ago

77/878978974898949+4

Alex73 [517]

Answer:

4

Step-by-step explanation:

First, you divide 77 by 878978974898949. You then add four to that. This leaves you with 4. It is easiest to use a calculator. However, you can do long division, and then, add 4. Your answer after calculating all the numbers will leave you with a total of 4.

4 0

3 years ago