3 years ago

5(2r+6)-12r ; Simplify

Mathematics

1 answer:

Alik [6]3 years ago

7 0

First, use distributive property:

5(2r+6)-12r The original expression; multiply 5 by 2r, and 5 by 6.

10r+30-12r Keep the -12r, just add it on to the end of the number(s) you found

Next, use communitive property:

10r+30-12r What we found in the previous step

-2r+30 Combine the like terms; 10r-12r=-2r, then place the 30 at the end

Done! Your answer is -2r+30.

Hope that helps!

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Alfonso and Lucas are 238 miles apart, traveling towards each other. If Lucas travels 21 mph and Alfonso travels 13 mph how long

Alex

Lucas equation for his location is x(t) = 13t.

Alfonso's equation is x(t) = 238 - 21t

If you equate these, you get:

13t = 238 - 21t =>

34t = 238

t = 7

So after seven hours they meet.

7 0

2 years ago

Using geometry, calculate the volume of the solid under z=64−x2−y2and over the circular disk x2+y2≤64

Anarel [89]

Perhaps you mean to find the volume under $z=\sqrt{64-x^2-y^2}$ ? It seems like you have to rely on calculus otherwise (in the case that you indeed mean $z=64-x^2-y^2$ ).

Assuming this, note that $z=\sqrt{64-x^2-y^2}$ describes the top half of a sphere with radius 8, which means the volume below this surface over the disk $x^2+y^2\le64$ is simply half the volume of the sphere. Thus the volume is

$\dfrac43\pi8^3=\dfrac{2048}3\pi$