Answer:
<A = <B
=> 8x - 8 = 5x + 25
<=> 3x = 33
<=> x = 11
with x = 11 => mB = 5.11 + 25 = 55 + 25 = 80⁰
(h,k) is the vertex
b/2a is the line of symmetry
a > 0 parabola opens upward, vertex is a minimum
a < 0 parabola opens downward, vertex is a maximum
My first answer was deleted lolol
Hello!
We don't need to find the exact perimeter of the fencing, just an estimate.
We will round 12 ft 3 in to 12 ft, because it is closer to 12 ft than 13 ft.
We will also round 8 ft 11 in to 9 ft because there are 12 inches in a foot, which makes 9 ft closer.
The formula for perimeter of a rectangle is:
P = 2l × 2w
The length is about 12 feet and the width is about 9 feet.
Substitute the length and width:
P = 2(12) + 2(9)
Solve:
P = 24 + 18
P = 42
Jose will need about 42 feet of fencing.
Here is how to work 2, 3 , and 4.
The maximum speed of a boat at 30 feet length of water is 0.093 nautical miles/hour or knots.
<u>Step-by-step explanation:</u>
- The equation for the maximum speed, s is given by s²= (16/9)x
- where, x is the length of the water line in feet.
It is given that, the modeled equation s²= (16/9)x is used to find the maximum speed in knots or nautical miles per hour.
The question is asked to find the maximum speed when the length of the water is 30 feet.
Therefore, to find the maximum speed in 30 feet water, the given modeled equation is used. So, substitute the 30 feet in place of x.
<u>Now, calculating the maximum speed :</u>
s² = (16/9)(30)
s² = 480 / 9
s² = 53.3
Taking square root on both sides,
s = √53.3
s = 7.3
The maximum speed of a boat at 30 feet length of water is 7.3 nautical miles/hour or knots.
