Explanation:
using the parabola formula:
y = a(x-h)² + k²
vertex = (h, k)
We are given a parebola equation of: y = x²+9
comparing both equations to get the vertex:
y = y
a = 1
(x-h)² = x²
x² = (x + 0)²
(x-h)² = (x + 0)²
h = 0
+k = +9
k = 9
The vertex of the parabola as (x, y): (0, 9)
Answer:
A cup of juice will cost 1.04 US dollars
Step-by-step explanation:
Here, we want to know the cost of one cup of juice in US dollars.
The cost of a quart of juice is Canada is 4.40CAN
now, since there are 4 cups in a quart, the cost of a cup of juice will be 4.40/4 = 1.10 CAN
Moving on;
We are told that 1 USD = 1.06 CAN ;
thus x usd = 1.10 CAN
1 * 1.10 = x * 1.06
x = 1.10/1.06
x = 1.037 which is approximately 1.04 USD
Answer:
2/13
Step-by-step explanation:
In a standard deck of cards, there are 52 cards total, 4 kings, and 4 queens.
Probability is calculated by (number of favorable outcomes)/(number of possible outcomes), so our probability would be 8/52, which can be simplified to 2/13.
Hope this helps!
Answer:
C. 9.5
Step-by-step explanation:
The Pythagorean Theorem: a^2 + b^2 = c^2.
4^2 + 8.6^2 = c^2
16 + 73.96 = c^2
c^2 = 89.96
c = 9.4847....