1) Assuming that 1 month is 30 days. We would take 30 (# of days in the month) divided by 4, which would be 7.5. So every 7.5 days ( or 1/4 of a month) she will build 1 1/2 simple machines. so 1 1/2 times 4 equals 6. She will build 6 simple machines each month.
3) D. 6 miles, you would take 60 divided by 6 which is 10, divided by 3/5 which is 6.
Answer:
(6y - 1)(6y + 1)
Step-by-step explanation:
To factorize completely, we may adopt the difference of 2 squares approach. The theory states that difference of two square is the product of the difference of the number and the sum of the numbers.
Such that
a² - b² = (a - b) (a + b)
Hence 36y² - 1
= 6²y² - 1²
= (6y)² - 1²
= (6y - 1)(6y + 1)
Step-by-step explanation:
Ratio of length to width = 7 : 4
length = 7x
width = 4x
7x + 4x = 11x
length = 880





width = 4x
= 4(125.71)
= 502.85
Answer:
Γ = 15
Step-by-step explanation:
Given
f(x) = x² - 8x + Γ
with a = 1, b = - 8 and c = Γ , then
sum of zeros α + β = -
= -
= 8
product of zeros = αβ =
= Γ
Given α - β = 2 , then
(α - β)² = 2²
α² - 2αβ + β² = 4 → (1)
and
(α + β)² = 8²
α² + 2αβ + β² = 64 → (2)
Add (1) and (2) term by term
2α² + 2β² = 68 ( divide through by 2 )
α² +β² = 34
Substitute α² + β² = 34 into (1)
34 - 2αβ = 4 ( subtract 34 from both sides )
- 2αβ = - 30 ( divide both sides by - 2 )
αβ = 15
Now
αβ = Γ = 15
Thus
f(x) = x² - 8x + 15
Answer:
Reggies makes sence
Step-by-step explanation: