Take 30.16-17.56. Theb divide by 5
Answer:
d= -5
Step-by-step explanation:
y-axis = altitude in feet
x-axis = minutes
slope = y/x = feet/minute
According to above data, we know that 1800 feet is y-intercept and slope is -300 feet per minute (why slope is negative? because its approaching ground at a constant speed)
a. slope = -300
y-intercept = 1800
b. y = -300 x + 1800
c. Here we are given x = 2 minutes
y = -300(2) + 1800
y = -600 + 1800
y = 1200
The balloon will be 1200 feet high above the ground in 2 minutes.
d. Here we are given 300 feet which is y, and find x minutes.
y = -300 x + 1800
300 = -300x + 1800
300 - 1800 = - 300x
-1500 = -300x
1500 = 300 x
x = 1500 / 300
x = 5
The balloon will reach 300 feet above the ground in 5 minutes.
e. It asking when the balloon will reach the ground, if the balloon reaches the ground than the height will be 0, therefore x-intercept (y=0).
y = -300 x + 1800
0 = -300 x + 1800
-1800 = -300x
1800 / 300 = x
x = 6
The balloon will reach the ground in 6 minutes.
<em>//Hope this helps</em>
Answer: 1.43 h
Step-by-step explanation:
Velocity is
is defined as the change in position (displacement)
of an object in a specific time
:

Where:
is the car's velocity
is the distance the winner car traveled
is the time
Isolating
:

Solving with the given information:

This is the winner's time
Answer:
6 units squared
Step-by-step explanation:
Formula:
area = 0.25 * √( (a + b + c) * (-a + b + c) * (a - b + c) * (a + b - c) )
Assign variables:
A = 5, B = 4, C = 3.
Distribute:
area = 0.25 * √( (5 + 4 + 3) * (-5 + 4 + 3) * (5 - 4 + 3) * (5 + 4 - 3) )
Combine like terms
area = 0.25 * √( (12) * (2) * (4) * (6) )
Multiply:
area = 0.25 * √(576)
Square root:
area = 0.25 * 24
Multiply:
area = 6 units squared