Answer:
We know that:
(a - b)^2 = a^2 - 2ab + b^2
and:
(a + b + c)^2 = a^2 + b^2 + c^2 + 2ac + 2bc + 2ab
Then:
(a - b)^4 = (a - b)^2*(a- b)^2 = (a^2 - 2ab + b^2)^2
Now we can just solve that last expression using the second expansion.
So, if we apply that to our case, we will have:
(1 - 4x)^2 = (1^2 - 2*1*4x + (4x)^2)^2
= (1 - 8x + 16x^2)^2
= 1^2 + (-8x)^2 + (16x^2)^2 + 2*1*(-8x) + 2*1*(16x^2) + 2*(-8x)*(16x^2)
= 1 + 64x^2 + 256x^4 - 16x + 32x^2 - 256x^3
= 256x^4 - 256x^3 + 96x^2 - 16x + 1
Answer: thousands=1,000 hundreds= 1400 tens= 1410 ones= 1413
Step-by-step explanation:
Answer:
Option (D)
Step-by-step explanation:
Surface area of a square pyramid is determined from the formula,
Surface area = Area of the square base + 4(Area of one lateral triangular side)
Area of the base = (Side)²
= 8²
= 64 cm²
Area of one lateral triangle =
=
= 32 cm²
Therefore, surface area of the square pyramid = 64 + 4(32)
= 64 + 128
= 192 cm²
Therefore, Option (D) will be the correct option.
Answer: -6x+2y=8 and y=3x
Step-by-step explanation:
they must have the same slope to be parallel and when you convert -6x+2y=8 into y=mx+b it is y=3x+4
Answer:
33
Step-by-step explanation:
hope this helps