Length of the rectangle is 24.5 ft and width is 27.5 ft
Step-by-step explanation:
- Step 1: Let the length of the rectangle be x, then width = x - 3. Find dimensions when perimeter = 104 ft
Perimeter = 2(length + width)
⇒ 104 = 2(x + x-3)
⇒ 104 = 2(2x - 3)
⇒ 104 = 4x - 6
⇒ 4x = 110
∴ x = 110/4 = 27.5
⇒ x - 3 = 24.5
Answer:
Height = 24 cm
Step-by-step explanation:
Answer:
Step-by-step explanation:
The remainder theorem says that when you put the integer part of the binomial for the value of x in f(x), you can solve for the remainder.
f(x) = x^3 - 4x + k is divided by (x - 5) means that 5 is put into f(x)
f(5) = x^3 - 4x + k now put 5 into x on the right
f(5) = 5^3 - 4(5) + k
f(5) = 125 - 20 + k = 91
f(5) = 105 + k = 91
105 + k = 91 Subtract 105 from both sides
k = 91 - 105
k = -14
Answer: -5(3y+5)
Step-by-step explanation:
Correct question is;
Factor out the GCF from the given polynomial. 10x³ + 16x² - 18x. (Type your answer in factored form.)
Answer:
GCF = 5x² + 8x - 9
Step-by-step explanation:
The given polynomial is;
10x³ + 16x² - 18x
First thing is to inspect the coefficients and see the greatest number that all three can be divided by evenly without remainder.
The greatest number is 2.
Secondly let's inspect the variables to see what we can factor out.
They all contain x. Thus, x is a factor.
Thus, we will divide each term by 2x to obtain the GCF of the polynomial.
GCF = (10x³/2x) + (16x²/2x) - (18x/2x)
GCF = 5x² + 8x - 9
