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Natasha_Volkova [10]
3 years ago
11

Find the equation of a line that goes through the points (8, -9) and (-4, 15).

Mathematics
1 answer:
Natasha_Volkova [10]3 years ago
3 0

Answer:

y = - 2x + 7

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

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

with (x₁, y₁ ) = (8, - 9) and (x₂, y₂ ) = (- 4, 15)

m = \frac{15+9}{-4-8} = \frac{24}{-12} = - 2, thus

y = - 2x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (8, - 9), then

- 9 = - 16 + c ⇒ c = - 9 + 16 = 7

y = - 2x + 7 ← equation of line

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3 years ago
A battalion of 520 soldiers goes through 16,380 pounds of rations in 3 weeks. If 780 more soldiers join the battalion, how many
Scorpion4ik [409]

They would need 34.125 tons of rations.


In order to find this, we first need to see how many pounds of rations a single soldier eats in a week. To do this, we take the total eaten in 3 weeks and divide by 3. Then we divide by the number of soldiers.


16,380/3 weeks= 5460 lbs per week


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Now we look to see how many soldiers we will have in total after adding. There are 520 to start and we add 780 to get 1300 total. Next we multiply that by the total per soldier per week.


10.5lbs per soldier per week * 1300 soldiers = 13,650lbs per week


Then we have to multiply by the 5 weeks that battalion will be there.


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5 0
3 years ago
Find the midpoint of the line segment with end coordinates of: (-2,-2) and (2,8)​
Aleonysh [2.5K]

Answer:

(0 ; 3)

Step-by-step explanation:

hello :

the midpoint of the line segment is : ((-2+2)/2 ;(-2+8)/2 )

(0 ; 3)

8 0
3 years ago
Read 2 more answers
Questions 1-14of 14
matrenka [14]
Answer is b because the veritable is just 1 but the 4 stays the same
6 0
2 years ago
The height of the cylinder is 25 inches and the radius of its base is 5 inches. What is the surface area of this cylinder, in te
Vikentia [17]

ok you need formula for surface area.

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SA = 2π(5)(25)+2π(5)^2

SA = 10pi*25 + 2pi(25)

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SA = 300pi

Hope this helps :)

Jeron

4 0
1 year ago
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