It's 3 vertices, hope this helps!
Answer:
120 in
Step-by-step explanation:
The area of a parallelogram is its base multiplied by its height.
For this problem, the base is 15 in while the height is 8 in. Plug in the numbers into the equation and solve.
The area of the parallelogram is 120 in.
Answer:
The factored form of the polynomial is 11*(x+2)*(x-5/11). The root found was r = -2
Step-by-step explanation:
If you take a positive value of x, you will most likely obtain positive results, since 11x² + 17x ≥ 11 + 17 = 28 for x ≥1, which means that 11x²+17x-10 ≥ 28-10 = 18 > 0.
Therefore, we prove with negative values.
- x = -1: 11*(-1)²+17*(-1) - 10 = -16
- x = -2: 11*(-2)² + 17*(-2) - 10 = 44-34-10 = 0
Therefore, -2 is a root. We can find the other knowing that
p(x) = 11*(x-r₁)*(x-r₂) = 11*(x-(-2)) * (x-r₂) = 11*(x+2)*(x-r₂)
The independent term is 11*2*(-r₂) = -22r₂ = -10
thus, r₂ = -10/-22 = 5/11.
Therefore, p(x) = 11*(x+2)*(x-5/11)
Answer:
x = 21.4
Step-by-step explanation:
Reference angle (θ) = 25°
Opposite = 10
Adjacent = x
Apply trigonometric function, TOA:
Tan θ = Opp/Adj
Tan 25 = 10/x
x*Tan 25 = 10
x = 10/Tan 25
x = 21.4450692 ≈ 21.4 (nearest tenth)
<span> 221 (number of cheeseburgers sold)</span>