Answer:
<u>y = -x² + 4</u>
Step-by-step explanation:
The equation of the parabola in the vertex form is:
y = a (x-h)² + k
Where: (h,k) the coordinates of the vertex & a is a multiplier
The parabola has a vertex at ( 0,4 )
So, h = 0 , k = 4
∴ y = a (x-0)² + 4
∴ y = a x² + 4
The parabola passes through points ( 2,0 )
∴ 0 = a 2² + 4
∴ 4 a = -4 ⇒ a = -4/4 = -1
∴ y = -x² + 4
So, the equation of a parabola that has a vertex at ( 0,4 ) and passes through points ( 2,0 ) is <u>y = -x² + 4</u>
See the attached figure.
Answer:
An obtuse angle has a measurement greater than 90 degrees but less than 180 degrees.
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
2/3 x + x = 20
2/3 x + 3/3x = 20
5/3 x = 20 ... times 3/5 both sides
x = 12
check: 2/3 x 12 + 12 = 8 + 12 = 20
Answer:
20%-X=a
Step-by-step explanation:
So if there is a toy that cost $50 and it was 20% off it would then cost $40
Answer:
$1050
Step-by-step explanation:
<h2><u>formula for compound interest method:</u></h2>
A = P ( 1 + r/100)^n
A is actual amount
r is the rate of interest
P is the principle
n is the number of years
A = 800 (1 * 7/100)^4
= 1048.637
to 3sf = <u>$1050</u>