Answer:
Step-by-step explanation:
We can use the Polynomial Remainder Theorem. It states that if we divide a polynomial P(x) by a <em>binomial</em> in the form (x - a), then our remainder will be P(a).
We are dividing:
So, a polynomial by a binomial factor.
Our factor is (x + k) or (x - (-k)). Using the form (x - a), our a = -k.
We want our remainder to be 3. So, P(a)=P(-k)=3.
Therefore:
Simplify:
Solve for <em>k</em>. Subtract 3 from both sides:
Factor:
Zero Product Property:
Solve:
So, either of the two expressions:
Will yield 3 as the remainder.
Answer:
Area : 45 Perimeter : 2,025
Explanation:
Area: 5 times 9 equals 45. The 5 is the polygon’s base, the 9 is the polygon’s height.
Perimeter: 5 times 5 times 9 times 9 equals 2,025. Perimeter is base times base times height times height.
Glad I could help! :)
Answer:
x = -15 or 15
Step-by-step explanation:
We can simplify |x| - 3 = 15 to |x| = 15 because we can add 3 on both sides due to -3 being outside of the absolute value bars. Next, we can say that x is either 15 or -15 because of the absolute value (|15| is equal to 15 and |-15| is also equal to 15).
Answer:
width = 9.36 ft
length = 21.36 ft
Step-by-step explanation:
Let the width be x ft long. Then it follows that the length will be (x+12) ft long.
To calculate the area would then be
x(x+12) = 200
x
x = 9.36 ft or x = -21.36 ft
We take the positive answer. So the dimensions are
width = 9.36 ft
length = 9.36 + 12 = 21.36 ft
60/25 = 12/Y
cross multiply and divide
25 x 12 = 300
300 / 60 = 5
Y = 5 boxes
