Answer:
1) 
2) Option C.
3) Option B.
Step-by-step explanation:
1. You must apply the Distributive property as following:
2. Now, you must distribute the negative sign, then you have:
3. Finally, you must add the like terms. Then you obtain the polynomial:
4. By definition, a polynomial that has two terms is classified as a binomial. Therefore, the answer is the option C.
5. The degree of a polynomial is determined by highest exponent of the variable. So, it is a polynomial of degree 2 (option B).
Juan earned $6.40 per hour. Because he worked 12.5 hours monday through friday plus the extra 7.5 hours on saturday which equals 20. And 128 divided by 20 is 6.40
Answer:
see explanation
Step-by-step explanation:
(a)
Given
2k - 6k² + 4k³ ← factor out 2k from each term
= 2k(1 - 3k + 2k²)
To factor the quadratic
Consider the factors of the product of the constant term ( 1) and the coefficient of the k² term (+ 2) which sum to give the coefficient of the k- term (- 3)
The factors are - 1 and - 2
Use these factors to split the k- term
1 - k - 2k + 2k² ( factor the first/second and third/fourth terms )
1(1 - k) - 2k(1 - k) ← factor out (1 - k) from each term
= (1 - k)(1 - 2k)
1 - 3k + 2k² = (1 - k)(1 - 2k) and
2k - 6k² + 4k³ = 2k(1 - k)(1 - 2k)
(b)
Given
2ax - 4ay + 3bx - 6by ( factor the first/second and third/fourth terms )
= 2a(x - 2y) + 3b(x - 2y) ← factor out (x - 2y) from each term
= (x - 2y)(2a + 3b)
AD is perpendicular to BC so slope Ad = -1/slope of BC
Slope of BC = (2 - (-1)) / (- 6- 3) = 3 / -9 = -1/3
So slope of AD = -1 / (-1/3) = -3/-1 = 3 Answer
Answer:
63.59
Step-by-step explanation:
If the perimeter is 32.13, that means it is equal to
2r + 2πr/4 = 32.13
Solving this for r we get 9
Now, we can find the area, which is 3.14*r^2 / 4. Assuming pi to be 3.14 again, we get 63.585. Rounding this to the nearest hundredth, we get 63.59
