The slope of a line that passes through the point (-3,0) and has a y-intercept of 12 is 4.
<h3>How to find the slope of a line?</h3>
Using the point slope equation,
y = mx + b
where
Therefore, using (-3, 0)
0 = -3m + 12
-12 = -3m
divide both sides by -3
m = -12 / -3
m = 4
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The answer would be 3x+2=10x-5
Answer:
9.6
Step-by-step explanation:
Use the Pythagorean Theorem
a² + b² = c²
Plug in the knowns
a² + 22² = 24²
Subtract 22² from both sides
a² = 24² - 22²
a² = 576 - 484
a² = 92
Take the square root of both sides
a = 9.591663046625438
Rounded
a = 9.6 ft
[ - 6 * x^2 * y^8 + 12* x * y^3 - 36 * x * y^2 ] / [6*x*y^2] =
[-6x^2 y^8 ] / [6xy^2] + [12x y^3] / [6xy^2] - [36xy^2] / [6xy^2] =
- xy^6 + 2y - 6
Answer: - xy^6 + 2y - 6
The quantity of the liquid in Richard's tank after 20 minutes will be 120 gallons and in Jason's tank will be 240 gallons.
<h3>What are gallons?</h3>
A gallon is a British unit which is used for the measurement of liquids that is equal to eight pints. In Britain, it is equal to about 4.546 litres. In America, it is equal to about 3.785 litres.
It is given in the question that:-
Richard fills his pool at a rate of 6 gallons per minute.
Jason's pool already contains 200 gallons, and he fills it at a rate of 2 gallons per minute.
After 20 minutes the amount of liquid in the tank will be:-
For Richard = 6 gallons per minute. x 20 minutes= 120 gallons
For Jason= 2 gallons per minute x 20 =40 gallons
Jason has 200 gallons already in the tank
So it will become = 200+24=240 gallons.
Hence quantity of the liquid in Richard's tank after 20 minutes will be 120 gallons and in Jason's tank will be 240 gallons.
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