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Mrac [35]
3 years ago
6

A line contains the points (8, 5) and (6, 15).

Mathematics
1 answer:
Olenka [21]3 years ago
3 0

Answer: -5

Step-by-step explanation:

The formula for calculating the slope of a line is given as :

m=\frac{y_{2} }{x_{2}} - \frac{y_{1}}{x_{1}}

x_{1} = 8

x_{2} = 6

y_{1} = 5

y_{2} = 15

substituting into the formula , we have

m = \frac{15-5}{6-8}

m = \frac{10}{-2}

m = -5

Therefore the slope is -5

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Solve the Solve the simultaneous equations 2x+3y=20 x+5y=31
zlopas [31]

Answer:

x = 1   and   y = 6

Step-by-step explanation:

Given

2x + 3y = 20

x + 5y = 31

Required

Solve for x and y

Make x the subject in the second equation

x = 31 - 5y

Substitute 31 - 5y for x in 2x + 3y = 20

2(31 - 5y) + 3y = 20

62 - 10y + 3y = 20

62 - 7y  = 20

Collect like terms

-7y = 20 - 62

-7y = - 42

Solve for y

y = \frac{-42}{-7}

y = 6

Substitute 6 for y in x = 31 - 5y

x = 31 - 5 * 6

x = 31 - 30

x = 1

6 0
3 years ago
Eric is a real estate agent. He makes a 5% commission on each house he sells. Last month, Eric sold three houses. The sale price
hjlf

Answer:

<u>Eric earned last month US$ 9,786.25</u>

Step-by-step explanation:

Commission of Eric on each house sold = 5% = 0.05

House 1 $55,000

55,000 * 0.05 = $ 2,750

House 2 $105,525

105,525 * 0.05 =  $ 5,276.25

House 3 $35,200

35,200 * 0.05 = $ 1,760

Eric earned last month =  $ 2,750 +  $ 5,276.25 + $ 1,760

<u>Eric earned last month US$ 9,786.25</u>

4 0
3 years ago
A snowboarder descends a 1200-foot hill in 3 minutes. What is the mean change in elevation per minute? (400 is not correct!)
marissa [1.9K]
Dundeejdjdjrhrhhzrdjdjfjjfhfhrhfjdjcuufjrjrhrhurududuufucufufuru
3 0
3 years ago
What do I need to do and what are the steps
Viktor [21]
So allison spent 3/5 meaning she saved 2/5 because 3/5 + 2/5 = 5/5

change the 2/5 into decimals by 2 ÷ 5 = 0.4

multiply $55 with 0.4
55 x 0.4 = 22

so she ends up saving $22
6 0
3 years ago
Please help.
allochka39001 [22]
I think it is 2.6 seconds
7 0
3 years ago
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