Answer:
b = -7
Step-by-step explanation:
Answer:
(5x + 7y)(25x² - 35xy + 49y²)
Step-by-step explanation:
125x³ + 343y³ ← is a sum of cubes and factors in general as
a³ + b³ = (a + b)(a² - ab + b² )
125x³ = (5x)³ ⇒ a = 5x
343y³ = (7y)³ ⇒ b = 7y
125x³ + 343y³
= (5x + 7y)((5x)² - (5x × 7y) + (7y)²)
= (5x + 7y)(25x² - 35xy + 49y²) ← in factored form
Answer: C
Step-by-step explanation:
For this problem, we need to know the standard form of a sine function and the meaning of each part.
Standard form: ![y=asin[b(x-h)]+k](https://tex.z-dn.net/?f=y%3Dasin%5Bb%28x-h%29%5D%2Bk)
a=amplitude
b=period
h=phase shift
k=vertical replacement/shifting
Now that we know the standard form and the components, we know that we can forget about k and plug in 0 for h. This would leave us with
. We know that the amplitude is 2, therefore, a=2. To find the period, you divide 2π by the given period.
, therefore, b=1/2.
[plug in a=2]
[plug in b=1/2]

Therefore, C is the correct answer.
G(-8,1) X~(-8+4)/2=-2
H(4,5) Y~(1+5)/2=3
Midpoint-(-2,3)