A) y = 2x -4
B) x + 2y = 12
A) -2x + y = -4 then multiplying Equation B by 2
B) 2x + 4y = 24
Adding the equations
5y = 20
y = 4
x = 4
Okay, that was solved by elimination.
If these equations were graphed, they would be two lines that would meet at the point (4, 4)
To solve for the volume of a spherical ball, we use the formula,
V = (4<span>πr^3)/3
The given radius of 3x10^2 centimeters converts to 3 meters. Solving for the volume,
V = (4</span>π)x(3^3)/3 = 36<span>π m^3
</span>Thus, Sara is trapped in a spherical ball with a volume of 36<span>π m^3.
</span><span>
</span>
5n² - 8n - 21 → (5)(- 21) = -105 (find 2 numbers whose product is 105 and sum is -8)
= 5n² - 15n + 7n - 21
= 5n(n - 3) + 7(n - 3)
= (5n + 7)(n - 3)
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6n² + 53n - 79 → (6)( -79) = -474 (find 2 numbers whose product is -474 and sum is 53) DOES NOT EXIST! only factors are: (1, 474) (2, 237) (3, 158) (6, 79)
= Prime
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4n² - 25 (this is the difference of two squares)
= √(4n²) +/- √(25)
= 2n +/- 5
= (2n + 5)(2n - 5)
The snail will crawl 800cm in 2 hours
4m*2h=8h
8h*100=800cm
The perimeter is 32 because if you add up all the sides you get 32 and 8 times 4 is 32
