Answer:
-12x - 9xy
Step-by-step explanation:
-3x(4x - 5xy + 8y)
distribute
-12x + <u>15xy - 24xy</u>
combine like terms
-12x - 9xy
Answer:
there are 100 children in the class
Answer:
see below
Step-by-step explanation:
prove: sin²x cos²y - cos²x sin²y ≡ sin²x - sin²y
we notice that the Right side only has sin² functions, hence we can start by trying to remove the cos² functions from the Left side.
Recall the identity: sin²α + cos²α = 1 , can be rearranged to give us:
cos²α = 1 - sin²a.
If we apply this to the left side of our equation, then
cos²y = 1-sin²y, and cos²x = 1-sin²x
Substituting these into the left side of the equation:
sin²x cos²y - cos²x sin²y
= sin²x (1-sin²y) - (1-sin²x ) sin²y
= sin²x - (sin²x sin²y) - sin²y + (sin²x sin²y)
= sin²x - sin²y
= Right Side of equation (Proven!)
Answer:
uh oh
Step-by-step explanation:
Answer:
2.4747996 * 10^1
Step-by-step explanation:
When working in scientific notation, (a * 10^b) * (c*10^d)
Multiply a*c then add 10 ^(b+d)
Then check that the product of ac is between 1 and 10, if not then we need to adjust so that it is
(7.93205×10^8) • (3.12×10^-8)
(7.93205) • (3.12) =24.747996
10^(8-8) = 10^0
24.747996 needs to be adjusted to be between 1 and less than 10
we move the decimal 1 to the left so we add 1 to the exponent
2.4747996 * 10^0+1
2.4747996 * 10^1
