The common denominator is 12
Since the vertex form of a parabola is y=a(x-h)^2+k with h and k being the vertex (the x and y values, respectively), we get a(x-0)^2+20=ax^2+20. Plugging (10, 8) in to find a, we get 8=a(10)^2+20=a*100+20. Subtracting 20 from both sides, we get -12=100*a. Next, we divide 100 from both sides to get a=-12/100. Since h=0 and k=20, we have your answer!
Answer:
see below
Step-by-step explanation:
5. sin 31 = opp/ hyp
sin 31 = 34 /x
x = 34 / sin 31
x =66.0145369
tan 31 = opp /adj
tan 31 = 34/y
y = 34/ tan 31
y= 56.5855024
6. Pythagorean theorem to find z
9^2+12^2 = z^2
81+144 = z^2
225 = z^2
z =sqrt(225) =15
sin x = opp / hyp
sin x = 9/15
take the inverse sin
x = sin^ -1 (9/15) = 36.86989765
sin y = opp / hyp
sin y = 12/15
take the inverse sin
y = sin^ -1 (12/15) = 53.13010235
Answer:
0
Step-by-step explanation:
sin²θ + cos²θ = 1
secθcosθ = (1/cosθ)cosθ = 1
1 - 1 = 0
Answer:
D
Step-by-step explanation: