Answer:
65
Step-by-step explanation:
because it is vertically opposite angles
Answer:
Step-by-step explanation:
Polynomial f(x) has the following conditions: zeros of -2 (multiplicity 3), 3 (multiplicity 1), and with f(0) = 120.
The first part zeros of -2 means (x+2) and multiplicity 3 means (x+2)^3.
The second part zeros of 3 means (x-3) and multiplicity 1 means (x-3).
The third part f(0) = 120 means substituting x=0 into (x+2)^3*(x-3)*k =120
(0+2)^3*(0-3)*k = 120
-24k = 120
k = -5
Combining all three conditions, f(x)
= -5(x+2)^3*(x-3)
= -5(x^3 + 3*2*x^2 + 3*2*2*x + 2^3)(x-3)
= -5(x^4 + 6x^3 + 12x^2 + 8x - 3x^3 - 18x^2 - 36x - 24)
= -5(x^4 + 3x^3 - 6x^2 - 28x -24)
= -5x^4 - 15x^3 + 30x^2 + 140x + 120
1 foot = 12 inches.
Divide total inches by 12:
51 / 12 = 4.25 feet.
The whole number is the number of feet. Now multiply the decimal portion by 12 to get inches:
0.25 x 12 = 3 inches
51 inches = 4 feet 3 inches
The student is 4 feet 3 inches tall
Answer:
y=(x+5)(x+2)
Step-by-step explanation:
Intercept form of quatratics is the best way to solve this equation, since you're given the roots needed.
The intercept form equation is y=a(x-p) (x-q) [where p and q are your roots/intercepts].
So, you input the intercepts and get y=(x-(-5))(x-(-2)), so your final answer should be y=(x+5)(x+2).
