Solve each system using the substitution method 6x-y=-4 and 2x+2y=15

1 answer:

8 0

Convert 6x - y = -4 into y = mx + b
Y - 4 = 6x
Y = 6x + 4
Substitute that into second equation
2x + 2(6x + 4) = 15
2x + 12x + 8 = 15
14x = 7
X = 1/2
6(1/2) - y = -4
3 - y = -4
-y = -7, y = 7
Final answer: x = 1/2, y = 7

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Step-by-step explanation:

Volume of ice cream cone is volume of hemisphere PLUS volume of cone.

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radius is given as 4, so,

Volume of Hemisphere = $\frac{\frac{4}{3}\pi r^3}{2}\\=\frac{\frac{4}{3}\pi (4)^3}{2}\\=134.04$

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Surface area of ice cream cone is surface area of hemisphere PLUS surface area of cone.

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We dont need to use the first part, $\pi r^2$ since it is "inside". We need to find l, slant height, by using pythagorean theorem on a triangle we can make (bottom right).