-2(-x + 3y) - 3(x - 5y)
-2(-x) - 2(3y) - 3(x) + 3(5y)
2x - 6y - 3x + 15y
2x - 3x - 6y + 15y
-x + 9y
Answer:
The equation — E = mc2 — means "energy equals mass times the speed of light squared." It shows that energy (E) and mass (m) are interchangeable; they are different forms of the same thing. If mass is somehow totally converted into energy, it also shows how much energy would reside inside that mass: quite a lot.
Step-by-step explanation:
Answer:
Carter's bedroom would cost more to carpet than Carly's because the floor area of the former is about five square feet greater than the floor area of Carly's bedroom.
Step-by-step explanation:
The area of either of these floors is found by multiplying length by width:
A = L*W.
Carly's bedroom is 15.3 ft by 8.7 ft; multiplying, we get A = 133.11 ft^2
Carter's is 14.4 ft by 9.6 ft: A = 138.24 ft^2
Carter's bedroom area (138.24 ft^2) is about 5 ft^2 larger than Carly's and would thus cost more to carpet.
Answer:
144 sq in
Step-by-step explanation:
Face height=9, bases=6 in
#Assume the pyramid has a square base.
First we need to calculate the perpendicular height of the pyramid:
![#Pythagorean \ Theorem\\a^2+b^2=c^2\\9^2-(0.5\times 6)^2=h^2\\72=h^2\\h=\sqrt{72} \ in](https://tex.z-dn.net/?f=%23Pythagorean%20%5C%20Theorem%5C%5Ca%5E2%2Bb%5E2%3Dc%5E2%5C%5C9%5E2-%280.5%5Ctimes%206%29%5E2%3Dh%5E2%5C%5C72%3Dh%5E2%5C%5Ch%3D%5Csqrt%7B72%7D%20%5C%20in)
Now to find the surface area of each pyramid:
![A=lw+l\sqrt{(w/2)^2+h^2}+w\sqrt{(l/w)^2+h^2}\\\\\#w=l=6,h=\sqrt{72}\\\\A=6^2+6\sqrt{(6/2)^2+72}+6\sqrt{(6/6)^2+72}\\\\A\approx 144\ sq \ in](https://tex.z-dn.net/?f=A%3Dlw%2Bl%5Csqrt%7B%28w%2F2%29%5E2%2Bh%5E2%7D%2Bw%5Csqrt%7B%28l%2Fw%29%5E2%2Bh%5E2%7D%5C%5C%5C%5C%5C%23w%3Dl%3D6%2Ch%3D%5Csqrt%7B72%7D%5C%5C%5C%5CA%3D6%5E2%2B6%5Csqrt%7B%286%2F2%29%5E2%2B72%7D%2B6%5Csqrt%7B%286%2F6%29%5E2%2B72%7D%5C%5C%5C%5CA%5Capprox%20144%5C%20sq%20%5C%20in)
Hence amount of construction paper needed to make each pyramid is 144 sq in
Answer:
6am
Step-by-step explanation: