Answer:
y = 6x - 24
Step-by-step explanation:
Slope intercept form: y = mx + b.
Fill in x, y, and the slope to solve for b as follows:
First find the slope.
60 - 6
14 - 5
54/9
Slope = 6
y = 6x + b
(6) = 6(5) + b
6 = 30 + b
Subtract 30 from both sides.
-24 = b
y = 6x - 24
Ok, lets visualize this scenario. We have a tank that is holding10450 ml of water. Then it tells use it is leaking at a rate of 270 ml per minute. Well, leaking would suggest something is being subtracted. Also, per minute means it is being subtracted each minutes so we use an x to represent the minutes. Ok, lets build the model
10450 - 270x = 0
The model above will tell us how many minutes it will take for the tank to be empty.
If we insert a number for x, the model below will tell us how many ml has leaked for the number of minutes we inserted into x.
10450 - 270x
C) Major axis (because its facing your upper right)
Answer:
243 in²
Step-by-step explanation:
Step 1. Calculate the<em> base and height </em>of the rectangle
We have two conditions:
(1) 2b+ 2h = 72 in
(2) b = 3h Substitute in (1)
2(3h) + 2h = 72 Remove parentheses
6h + 2h = 72 Combine like terms
8h = 72 Divide by 6
h = 9 in Substitute in(2)
b = 3 × 9
b = 27 in
Step 2. Calculate the area of the rectangle
A = bh
A = 27 × 9
A = 243 in²
The area of the rectangle is 243 in².