Answer:
The prime factorization of 891 is 9^2*11
Step-by-step explanation:
Divide 891 by 9, 9, and finally, 11. Or use a factorization calculator.
Answer: the length and width are
(x + 8) and (x + 8)
Step-by-step explanation:
The rug has an area represented by the expression
Area = 4x² + 64x + 256.
The factors in the factored expressions represent the length and width of the rug.
Dividing the the equation by 4, it becomes
x² + 16x + 64 = 0
We would find two numbers such that their sum or difference is 16x and their product is 64x^2.
The two numbers are 8x and 8x. Therefore,
x² + 8x + 8x + 64 = 0
x(x + 8) + 8(x + 8) = 0
The factors are
(x + 8)(x + 8)
Answer:
x^3+3x^2+4x+5
Step-by-step explanation:
Ok, so what helps me solve this kind of problem is to circle, underline, or box the like terms(the ones with the same exponent and variable). Be sure to note the sign of each term when combining like terms. take it one step at a time, and work downwards starting with the highest exponent. You have -x^3 and +2x^3, which is x^3. Next, you have +2x^2 and +x^2, which is 3x^2. You should write down each of these as you go, so you should now have x^3+3x^2. Then combine the terms with no exponent but with x, which is 5x and -1x, which is +4x. You should have x^3+3x^2+4x now. Lastly, just combine the numbers 1, -1, and 5, which is 5. This gives you an answer of x^3+3x^2+4x+5.
Tan^2x + 1 + tanx - 3 = 0 tan^2x + tanx - 2 = 0 (tanx + 2)(tanx - 1) = 0 tanx = -2 or tanx = 1 x = 2.034 radians or x = 5.176 radians or x = pi/4 radians or x = 5pi/4 radians
Answer:
The change is a loss of 10 yards, so -10 yards.
Step-by-step explanation:
The total change in yardage after 2 plays is the sum of the yardage of each play.
What lost yardage means?
Lost yardage means negative yardage.
Imagine that in a Buffalo Bills game, Devin Singletary lost 2 yards on his first carry. So his total yardage is -2.
If in the next carry he gets 3 yards, his total yardage is 1. If he loses 1, his total yardage is -3.
First play
Loss of 5 yards.
So the first play counts for -5 yards.
Second play
Loss of 5 yards.
So the second play counts for -5 yards.
Total
-5 - 5 = -10
The change is a loss of 10 yards, so -10 yards.
