we know that
acceleration due to gravity is 9.8m/s^2
so, we get

and acceleration will always be constant
we know that
integral of acceleration is velocity
so, we can integrate both sides


we are given
v(0)=35m/s
we can use it and find C



now, we can plug it back

we know that
integral of velocity is height
we can integrate it again



now, we have
s(0)=6
we can use it and find C


now, we can plug back C

and we get
.............Answer
Let's assume
height of plane in feet =h
time in minutes =t
we are given
A plane is descending into the airport. After 5 minutes it is at a height of 6500 feet
so, we get one point as (5,6500)
After 7 minutes it is at a height of 5900 feet
so, we get another point as (7,5900)
we can use point slope form of line

points as
(5,6500)
x1=5, y1=6500
(7,5900)
x2=7 , y2=5900
Calculation of slope(m):

now, we can plug values


Equation of line:
we can use formula

we can plug values


Time of landing:
we can set h=0
and then we can solve for t

..............Answer
The first thing we must do for this case is to look for the area of each rectangle.
We have then:
A1 = (40) * (x)
A2 = (1.25 * 40) * (y)
Then, we have the following relationship between areas:
"the area of Q is 10% less than the area of p"
A2 = 0.9 * A1
Substituting values we have:
(1.25 * 40) * (y) = 0.9 * ((40) * (x))
We rewrite:
50y = 36x
The relationship x: y is:
x / y = (50) / (36)
Simplifying:
x / y = (25) / (18)
Answer:
the ratio of x:y is:
25:18
Answer:
The point slope form of the line would be y + 4 = 2/3(x - 8) and the equation of the line would be y = 2/3x - 28/3
Step-by-step explanation:
To find the point-slope form of the line, start with the base form of point-slope form. Then input the point we have and the slope in the appropriate places.
y - y1 = m(x - x1)
y - -4 = 2/3(x - 8)
y + 4 = 2/3(x - 8)
Now to find the slope intercept form, you simply need to solve for y.
y + 4 = 2/3(x - 8)
y + 4 = 2/3x - 16/3
y = 2/3x - 28/3