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Pachacha [2.7K]
3 years ago
5

Write an equation of the line that passes through the given points. (-2,7) and (1,-2)

Mathematics
1 answer:
Effectus [21]3 years ago
7 0
General\ equation\ for\ line\ in\ slope\ intercept\ form:\\\\y=ax+b\\\\To\ find\ a\ and\ b\ substitude\ points\ (-2,7),\ (1,-2)\ into\ equation\\\\  \left \{ {{7=-2a+b} \atop {-2=a+b\ \ |:-1}} \right. 
\\\\ \left \{ {{7=-2a+b} \atop {2=-a-b}} \right. \\+-----\\\\9=-3a\ \ \ |:-3\\a=-3\\\\-2=-3+b\\-2+3=b\\b=1\\\\y=-3x+1
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The bells are adding a new room to their house. The room will be a cube with volume 8000ft3. They are going to put in hardwood​
puteri [66]

Given:

Volume of a cubed room = 8000 cubic ft

Cost of floor hardwood = $10 per square foot

To find:

The total cost of floor hardwood.

Solution:

Let the each side of cubed room be x ft.

Volume of a cube is cube of its side.

Volume of a cubed room is 8000 cubic ft. So,

x^3=8000

Taking cube root on both sides.

x=20

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Area of base = length × breadth

So, area of base of room is

20\times 20=400\text{ ft}^2

It means, 400 sq ft  hardwood is required for the floor.

Cost of floor hardwood is $10 per square foot. So, total cost of hardwood floor is

400\times 10=4000

The hardwood floors will cost ​$4000.

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3 years ago
In a class experiment, Sean finds that the probability that a student plays soccer is . If the school population is 300, how man
AlexFokin [52]
It's 144

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3 years ago
100 POINTS PLEASE BRAINIEST IF CORRECT!!!!!!<br> What is the slope of this graph?
Viefleur [7K]

Step-by-step explanation:

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2 years ago
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A 51-foot ladder is leaning up against a building . The top of the ladder reaches the wall at a height of 50 feet . How far is t
kykrilka [37]
You would have a right triangle where the hypotenuse is 51. To figure out this problem we can use the Pythagorean theorem- a^2 + b^2 = c^<span>2. so the equation should be 50^2+b^2=51^2

</span>50^2+b^2=51^2
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3 years ago
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artcher [175]

Answer:

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Step-by-step explanation:

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3 years ago
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