Answer:
y = - x² - 4x - 9
Step-by-step explanation:
Given
y = - (x + 2)² - 5 ← expand (x + 2)² using FOIL
= - (x² + 4x + 4) - 5 ← distribute parenthesis by - 1
= - x² - 4x - 4 - 5 ← collect like terms
= - x² - 4x - 9 ← in standard form
Answer:
All I know for a fact is that number 10 is C
Step-by-step explanation:
Answer:
y = 1/6
Step-by-step explanation:
direct variation
y =kx
substitute in what we know to find k
1/2 = k*3
solve for k
divide by 3
1/2 /3 = k
1/6 = k
substitute k into the direct variation equation
y = 1/6 x
let x = 1
y = 1/6 *1
y = 1/6
Answer:
8.37 cm rounded
Step-by-step explanation:
C = 2π r
C = 2π (8)
C = 16 π
C = 50.24
1/6 ( 50.24)= 8.37
120 = 2³ × 3 × 5
to obtain prime factors
120 ÷ 2 = 60
60 ÷ 2 = 30
30 ÷ 2 = 15
15 ÷ 3 = 5
5 ÷ 5 = 1
prime factors are 2³ × 3 × 5
