<u>Answer:</u>
5 and 5b: y=-2x+10
5a: y-2=-2(x-6)
<u>Step-by-step explanation:</u>
We can use the mentioned data points to identify the slope. Time will always the x coordinate/axis, so gallons will be the y coordinate/axis. As you probably already know, slope is rise over run, so we can measure the change in y over the change in x, or we can do 
. When we plug in our points, (2,6) and (5,0), we get 
, or 
, or 
, or simply -2. So our slope is -2.
We can use our y-intercept (which is (0,10), as mentioned in the attached graph and table) to make the equation, in slope-intercept form, 
This can answer both question 5 and 5b. Remember that slope-intercept form is written using the format y=mx+b, where x any given x-coordinate, y is the corresponding y-coordinate, m is the slope and b is the y-intercept.
To put this equation in point-slope form, one must first remember that point-slope form is written in the format 
, using the coordinates of any given coordinates on the same line, except for the y intercept. m also represents slope in this equation. So for this one, we can easily use (2,6). we can plug in these coordinates to get the equation y-2=-2(x-6).
Hope this helps.
Graph and table were created using Desmos dot com graphing calculator.
Answer:
B. The mean is $1.60 greater than the median
Step-by-step explanation:
The question lacks the required table. Find the table in the attachment below.
The mean is the ratio of the sum of the total fund raisers to the number of years.
Xi are the individual funds
N is the number of years = 5
Mean = 896+925+880+963+914/5
Mean = $915.6
Median is the value at the middle after rearrangement. Arrangement can either be ascending or descending order.
On rearrangement, 896, 880, 914, 925, 963
Median = $914
Taking the difference of mean and median value;
Difference = $915.6 - $914 = $1.60
This shows that the mean is $1.60 greater than the median
<h3>
Answer: Choice A) 252 in^2</h3>
=======================================================
Explanation:
Refer to the diagram below.
The red rectangle is 6 inches by 12 inches, so its area is 6*12 = 72 square inches. There are two of these rectangles (one on top, one on the bottom). That accounts for 2*72 = 144 square inches so far.
The purple rectangles are 3 inches by 12 inches, yielding an area of 3*12 = 36 square inches each. That's another 2*36 = 72 square inches when we account for the front and back purple rectangles.
The green rectangles are 6 inches by 3 inches. Each green rectangle is 6*3 = 18 square inches. Having two of them means we'll add on 2*18 = 36 square inches.
Overall, the entire surface area is the sum of all the areas we calculated: 144+72+36 = 252 square inches, which is choice A
-------------------------
Alternative Method:
- L = 12 = length
- W = 6 = width
- H = 3 = height
SA = surface area of the rectangular prism
SA = 2*(L*W + L*H + W*H)
SA = 2*(12*6 + 12*3 + 6*3)
SA = 2*(72 + 36 + 18)
SA = 2*(126)
SA = 252 in^2
So we get the same answer either way
Answer:
64
Step-by-step explanation:
A=1/2bh
basic multiplication after that
The answer would be 79 because the dog punched the alpaca
