Answer:
y = 1/2x + 1
Step-by-step explanation:
Slope: 1/2
Point: (2,2)
y-intercept: 2 - (1/2)(2) = 2 - 1 = 1
Answer:
Time = 3secs
Max height = 56m
Step-by-step explanation:
Given the height reached by the rocket modeled by the equation;
h(x) = -5(x - 3)² + 56 where;
x is in seconds
The rocket velocity at its maximum height is zero.
Hence dh/dx = 0
dh/dx = 2(-5)(x-3)
dh/dx = -10(x-3)
Since dh/dx = 0
0 = -10(x-3)
0 = -10x + 30
10x = 30
x = 3secs
<em>Hence it takes 3 secs to reach the maximum height.</em>
Get the maximum height reached by the rocket. Substitute x = 3 into the equation given;
Recall that:
h(x) = -5(x - 3)² + 56
If x = 3
h(3) = -5(3 - 3)² + 56
h(3) = 0 + 56
h(3) = 56
<em>Hence the maximum height that the rocket reaches is 56m</em>
Answer: I got C.
Step-by-step explanation: I squared both 3.9 and 9.7 which gave me 109.3. Then, I square rooted it and got 10.45 which rounds to 10.5. Hopefully, this is right.
Answer:
19 or 21.
Step-by-step explanation:
I swear.
5 + 5 = 10
10 + 5 = 15
15 + 4 = 19
________________
9 + 9 = 18
18 + 10 = 28
28 - 5 = 23
There are two nines so
23 - 2 = 21
Answer:
The width of rectangle is 1 unit.
Step-by-step explanation:
Given:
The area of rectangle is 6 units and its width is 5 units less than the length.
So, to find the width of rectangle.
Let the length be 
and the width be 
.
Now, to find the width we put the formula of area of rectangle:
Area = length × width
<em>On solving equation we get:</em>
Therefore, we take the value x=6 as it is positive value:
So, the width of rectangle:
Width =
= 
= 
Therefore, the width of rectangle is 1 unit.
