Answer:
(-4, 7)
Step-by-step explanation:
x is found on the x axis its -4
to find y you go up to where the point bvb is it is located at positive 7
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>
If the remaining 4 letters can be anything, you have 2*26^4 = 913,952 possible 5-letter ham radio call signs.
The difference between your speed is 6 miles per hour: that means that every hour you move 6 miles relative to your friend. But you only need to catch up 3 miles: half of it. So you'll catch up after 30 minutes.
Answer:
B. 36 in.
Step-by-step explanation:
Length of the scale drawing (L) = 6.1 in.
Width of the scale drawing (W) = 1.8 in.
Actual length = 122 in.
Using the scale drawing we can apply the rules of three of proportions to find the actual width.
Thus, set the ratio of the scale drawing length to width, equal to the ratio of the actual length to width:

Cross multiply

Divide both sides by 6.1


Actual width of the rectangle = 36 in.