Answer:
Step-by-step explanation:
Recall the vertex form of a quadratic equation:
Where (h,k) is the vertex.
We are told that the vertex is (0,0). Therefore:
Simplify:
So, to finish the equation, we need to find a.
We know that a point is (2,1). Thus, substitute 1 for f(x) and 2 for x:
Square:
Divide both sides by 4:
So, our a value is 1/4.
And we can thus complete our equation:
And we are done :)
Answer:
The question is not finished but if it is it would look like 4-2/3-1
Step-by-step explanation:
Answer:
a. earned: $292.50
b. total: $2,092.50
Step-by-step explanation:
A = 1800 [1 + (0.065 * 2.5)] = 2092.5
A = $2,092.50
To find the amount is earned, subtract the total with how much to started with
2,092 - 1,800 = 292.50
Answer:
∠2 = 18°
Step-by-step explanation:
∠WXZ = ∠1 + ∠2 ← substitute ∠1 = 3∠2
∠WXZ = 3∠2 + ∠2, that is
72 = 4∠2 ( divide both sides by 4 )
18 = ∠2, that is
∠2 = 18°
Answer:
angle C =160 degree
Step-by-step explanation:
since the given triangle is an isosceles triangle their base angles must be equal. So,
x - 10 =x/2
2(x - 10) =x
2x - 20 = x
2x - x = 20
x = 20
for angle B
x - 10
20 - 10
10 degree
for angle A
x/2
20/2
10
For angle c
angle A + angle B + angle C =180 degree (sum of interior angle of a triangle)
10 + 10 + angle C =180
20 + angle C =180
angle C =180 - 20
angle C =160 degree
