8k ^ 3 + 26k ^ 2 + 6k
For this case, the first thing you should do is rewrite the expression.
We have then:
Step 1:
Take out common factor.
8k ^ 3 + 26k ^ 2 + 6k
2k * (4k ^ 2 + 13k + 3)
Step 2:
Factor quadratic expression.
2k * (4k ^ 2 + 13k + 3)
2k * (4k + 1) * (k + 3)
Answer:
to find linear expressions for the possible dimensions of a rectangular we rewrite the expression:
2k * (4k + 1) * (k + 3)
Answer:
The answer is 51
Step-by-step explanation:
Answer:
a is the wrong answer
Step-by-step explanation:
the area of the circle is 40.8407 in^2
Option B:
BC = 49 feet
Solution:
Given m∠A = 130°,
AB = c = 30 feet
AC = b = 24 feet
BC = a = ?
Law of cosines:
Substitute the given values in the formula.
Taking square root on both sides, we get
a = 48.96
a = 49 feet
BC = 49 feet
Option B is the correct answer.
Answer:
x = 1 , 7
Step-by-step explanation:
Solution:-
- The given equation is as follows:
y = x^2 - 8x + 7
- We can solve the above equation by either making factors or by using Quadratic formula.
Factor Approach:
- Using the constant "7" at the end of the quadratic equation we will determine two integer multiples such that their additions/subtraction results in "-8".
- So the only factor of "7" are:
7 x 1 = 7
-7 x -1 = 7
- We see that addition/subtraction of first (7 , 1 ) does not results in "-8", However, the sum of ( -1 , -7 ) = -1 - 7 = -8. So the correct factors are ( -1 , -7 ). So we replace "-8x" with our factors "-1x" and "-7x":
x^2 -x -7x + 7 = 0
- Take common multiples out of pair of two terms:
x*(x-1) -7*(x-1) = 0
(x-7)*(x-1) = 0
- So we equate each term in bracket with "0" and evaluate the values of x:
(x-7) = 0 , x = 7
(x-1) = 0 , x = 1
- So the solution to the quadratic equation is:
x = 1 , 7