The horizontal distance from the firefighter at which the maximum height of water occurs is 10.83m
<u>Explanation:</u>
Given:
h(x) = -0.026x² + 0.563x + 3
where,
h(x) is the height of the water
Initial speed, u = 14m/s
angle, θ = 30°
(a)
Horizontal distance = ?
h(x) = ax² + bx + c
the vertex is found at x = -b/2a
where,
x = distance to the maximum height
As compared to the equation given:
a = -0.026
b = 0.563
Thus,

Therefore, horizontal distance from the firefighter at which the maximum height of water occurs is 10.83m
Answer:
2
Step-by-step explanation:
|a+x|/2 − |a−x|/2 , if a=−2; x=−6
Evaluate this expression
Simply plug in the numbers
| -2 + -6 | /2 - |-2 - -6|/2
|-8| /2 - |4|/2
4 - 2
2
Answer:

Step-by-step explanation:
1) First, find the slope of the line. Use the slope formula
. Pick two points on the line and substitute their x and y values into the formula, then solve. I used the points (-5,-4) and (0,-6):
So, the slope of the line is
.
2) Next, use the point-slope formula
to write the equation of the line in point-slope form. (From there, we can convert it to slope-intercept form.) Substitute values for the
,
and
into the formula.
Since
represents the slope, substitute
in its place. Since
and
represent the x and y values of one point on the line, pick any point on the line (any one is fine, it will equal the same thing at the end) and substitute its x and y values in those places. (I chose (0,-6), as seen below.) Then, with the resulting equation, isolate y to put the equation in slope-intercept form:

Answer- 42646.50 pounds
Area of flat surface = Area of rectangle + area of triangle
= 12.9*25 + 1/2* 7.2* 25
= 162.5 feet^2
Force exerted by wind =0 .004 * Area * velocity^2
= 42646.50 pounds
Answer:
Its oka linden
Step-by-step explanation:
Just cause