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Yanka [14]
3 years ago
10

Write the equation of a line in slope - intercept form using m=2 and (-1,5)

Mathematics
1 answer:
EastWind [94]3 years ago
6 0

The slope-intercept form:

y=mx+b

m - slope

b - y-intercept

We have the slope m=2\to y=2x+b.

Put the coordinates of the point (-1, 5) to the equation of the line:

5=2(-1)+b

5=-2+b       <em>add 2 to both sides</em>

7=b\to b=7

Answer: y=2x+7

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Please help calculate the total surface area​. Thanks
Gnoma [55]

Answer: 70cm³

EXPLANATION:

1/2 x base x height x 2 (this is to find the surface area of one of the triangular faces since the other side of the triangular shape has the same measurements you should multiply it by 2 straight away since it makes it easier for you)

1/2 x base x height x 2

1/2 x 3 x 3 x 2 ← <em>(to get the height of the triangle substract 7 from 10)</em>

1/2 x 18 ←<em> (multiply 3x3x2=18) </em>

9cm³  ←<em>(since 18 is 2x9 your answer is 9cm³)</em>

<em></em>

1/2 x base x height x 2 (this is to find the surface area of the other triangular face with different measurements and since the other side of the triangular shape has the same measurements you should multiply it by 2 straight away since it makes it easier for you)

1/2 x base x height x 2

1/2 x 4 x 3 x 2 ← <em>(to get the height of the triangle substract 7 from 10)</em>

1/2 x 24 ←<em> (multiply 4x3x2=24) </em>

12cm³  ←<em>(since 24 is 2x12 so your answer is 12cm³)</em>

<em></em>

Then next you have to find the surface area of one face of the rectangle and multiply it by 2 since the back side of the rectangle has the exact same measurements. The formula to find the area of a rectangle is area= length x breath

A= 3x7= 21cm³

then find the area of the other rectangular face with different measurements and multiply it by 2 since the back side of the rectangle has the exact same measurements. The formula to find the area of a rectangle is area= length x breath

A= 4x7= 28cm³

<u>FINALLY</u>

add all the areas of the faces you have found and you'll get the total surface area!

<u>9+12+21+28=70cm³</u>

Thank you! I hope you understood something and I hope you have a great day! good luck!

3 0
2 years ago
Niki wants to buy a dog bed the cost $87. She earns $6 per week for doing chores. How many weeks will Niki have to do her chores
Viktor [21]

Answer:

The answer to your question is 14.5 weeks

Step-by-step explanation:

Data

Total cost = C = $87

money earned = m = $6

Number of weeks to have the money = w = ?

Process

1.- Write an equation that represents the situation

            Weeks = Total cost / Money earned

             w = C/m

2.- Substitute the values

             w = 87 / 6

3.- Result

             w = 14.5

4.- Conclusion

Niki will last 14.5 weeks to have enough money to buy a dog bed.

7 0
3 years ago
the value of a car that cost $16,000 decreased to $12,000 after 2 years what is the percent of decrease
choli [55]

Answer: 25%

Step-by-step explanation:

16 000 - 12 000 = 4000

16 000 / 4000 = 4

100 / 4 = 25

7 0
3 years ago
Read 2 more answers
Stacy uses 6 cups of sugar to make 120 brownies how many cups of sugar will she use to make 360 brownies?
oksian1 [2.3K]

Answer:

18 cups of sugar

Step-by-step explanation:

Step 1:

120 ÷  6 = 20

Step 2:

360 ÷ 20

Answer:

18

Hope This Helps :)

8 0
3 years ago
Read 2 more answers
From a window 20 feet above the ground, the angle of elevation to the top of a building across
lions [1.4K]

the solution is in the above picture.

4 0
3 years ago
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