Answer:
The parent function is 
That Parabola's equation is 
Step-by-step explanation:
I can't really explain much, but the top equation is a formula for <em>all </em>equations for a parabola. h and k are the x and y-values of the vertex. a is, well, a.
How did I find the equation of the parabola? Simple. Since the vertex is on the origin, h and k are 0. Also, because it intercepts (2,4) and (1,1), a=1.
Answer:
x=2.2
Step-by-step explanation:
Answer:
false
Step-by-step explanation:
M = mangoes
a = apples
8m + 3a = 18 Equation 1
3m + 5a = 14.50 Equation 2
Lets multiply equation 1 by 5 and equation 2 by 3
The new equations are:
45m + 15a = 90
9m + 15a = 43.5
Subtract them and get:
36m = 46.5
m = 1.30 Divide both sides by 36
Substitute m into equation 2 (either is fine, but choose the easier one)
3(1.30) + 5a = 14.5
3.9 + 5a = 14.6 Expand the bracket
5a = 10.6 Minus both sides by 3.9
a = 2.12 Divide both sides by 5
Mangoes cost $1.30
Apples cost $2.12 (more like $2.10)
I feel that my working out is wrong, but that is how you work out the answer.
Answer:
-429/629
Step-by-step explanation:
Use angle difference formula:
sin(x − y) = sin x cos y − sin y cos x
Assuming x and y are in the first quadrant:
sin(x − y) = sin x cos y − √(1 − cos²y)√(1 − sin²x)
Plugging in values:
sin(x − y) = (8/17) (12/37) − √(1 − (12/37)²)√(1 − (8/17)²)
sin(x − y) = (8/17) (12/37) − (35/37)(15/17)
sin(x − y) = -429/629
