Answer:
6
hope it is helpful to you
Answer: 1. x = -2(y - 4)² + 1
2. x = -y² + 5
3. y = -5(x + 1)² + 2
<u>Step-by-step explanation:</u>
Notes: The vertex formula of a parabola is x = a(y - k)² + h or y = a(x - h)² + k
- (h, k) is the vertex
- p is the distance from the vertex to the focus
1)
Now input a = -2 and (h, k) = (1, 4) into the equation x = a(y - k)² + h
x = -2(y - 4)² + 1
***********************************************************************************
2)
Now input a = -1 and (h, k) = (5, 0) into the equation x = a(y - k)² + h
x = -1(y - 0)² + 5 → x = -y² + 5
***********************************************************************************
3)
Now input a = -5 and (h, k) = (-1, 2) into the equation y = a(x - h)² + k
y = -5(x + 1)² + 2
Answer:
perimeter=40.9ft
Step-by-step explanation:
The length at the top is 10ft,the length at the bottom is 10+4ft=14ft and the other lengths are8.9ft and 8ft
perimeter=10+14+8+8.9=40.9ft
Answer:
2/34
Step-by-step explanation:
Answer:The present age of both of them are Christopher = 42 years, and Ishaan = 84 years.
Step-by-step explanation: Solution:
Let present age of:
Christopher =
x
yrs
Ishaan =
2
x
yrs ( given that Ishaan is 2 times as old as Christopher)
35 yrs ago:
Age of Christopher = (
x
- 35)yrs
Age of Ishaan = (
2
x
- 35) yrs
According to question, 35 yrs back, Ishaan was 7 times older than Christopher.
Therefore
7 X (
x
- 35) = (
2
x
- 35)
7
x
- 245 =
2
x
- 35
7
x
-
2
x
= 245 - 35
5
x
= 210
x
= 42
So present age of Christopher =
x
= 42 yrs
&
Present age of Ishaan =
2
x
= 84 yrs
Check your solution:
As 84 is 2 times of 42 so Ishaan is 2 times older than Christopher.
35 yrs ago, Christopher was (42 - 35) = 7 yrs old and Ishaan was (84 - 35) = 49 yrs old so Ishaan was 7 times older than Christopher then.
