Answer: I guess this question requires the equation of the line which is y=-2/3x+2/3
Step-by-step explanation: In this problem we are given the slope and coordinates we have to first calculate the constant c and substitute it to the equation. y=mx+c
-4=-2/3(-7)+c
c=2/3
Therefore y= -2/3+2/3
Answer:
Step-by-step explanation:
a(n) = n² - 3n - a(n-1) and a(1) = 4
We have a(1) = 4 and want a(2) (for which n = 2).
a(2) = 2² - 3(2) - a(2-1) → a(2) = 4 - 6 - 4 = -6 = a(2)
a(3) = 3² - 3(3) - (-6) = 9 - 9 + 6 = 6 = a(3)
a(4) = 4² - 3(4) - 6 = 16 - 12 - 6 = -2 = a(4)
a(5) = 5² - 3(5) + 2 = 12 = a(5)
Answer: Length of arc = 12.6 cm
Step-by-step explanation:
CD is an arc. We would apply the formula for determining the length of an arc is expressed as
Length of arc = θ/360 × 2πr
Where
θ represents the central angle.
r represents the radius of the circle.
π is a constant whose value is 3.14
From the information given,
Diameter = 24 cm
Radius, r = diameter/2 = 24/2
Radius = 12 cm
θ = 60 degrees
Therefore,
Length of arc = 60/360 × 2 × 3.14 × 12
Length of arc = 12.6 cm rounded up to the nearest tenth.