Answer:
u=54
Step-by-step explanation:
VX is middle line of triangle, so
VX=ZY/2.....(1)
We know that
Zy=u
Vx=u-27
Put that in (1) we have:
u-27=u/2
2u-54=u
2u-u=54
u=54
Answer:
4K
Step-by-step explanation:
= K ( multiply both sides by 24 to clear the fraction )
J = 24K ( divide both sides by 6 )
= 4K
We can calculate for the slope of the line using the
formula:
m = (y2 – y1) / (x2 – x1)
From the given values:
m = (4,000 – 10,000) ft / (15 – 0) min
m = -400 ft/min
This means that the altitude is decreasing by 400 ft per
minute.
> The slope is –400 . This means that the helicopter
descends 400 ft each minute.
Answer:
69 feet
Step-by-step explanation:
we have

where
h(t) is the height of the ball
t is the time in seconds
we know that the given equation is a vertical parabola open downward
The vertex is the maximum
so
the y-coordinate of the vertex represent the maximum height of the ball
Convert the quadratic equation into vertex form
The equation in vertex form is equal to

where
(h,k) is the vertex of the parabola







the vertex is the point (2,69)
therefore
The maximum height is 69 ft
Answer:
- 819
Step-by-step explanation:
The sum to n terms of a geometric series is
= 
where a is the first term and r the common ratio
Here a = 1 and r = - 4 ÷ 1 = - 4, thus
=
=
=
= - 819