Remember that the slope of a line never changes, so you can choose whatever 2 points you want and you will always get the same slope. Calculate the rise and run (You can draw it on the graph if it helps). The slope is 2/4, which , of course, you can simplify to ½.
Hi there!
v = ±
- - - - - - - - -
K = 1/2mv²
Isolate for the variable "v". We can begin by dividing both sides by 1/2. (Multiply by the reciprocal, or 2):
2 · K = 2 · (1/2mv²)
2K = mv²
Continue isolating by dividing both sides by "m":
2K / m = v²
Take the square root of both sides. Remember that the solution can either be positive or negative since there are positive and negative roots.
v = ±
Answer: area of the outer part of the rug= 16 -x²
Step-by-step explanation:
Hi, to answer this question we have to apply the next formula:
Area of a square: Side²
Since the area of the rug including the inner square is:
Area of the rug = 4² =16 in²
And the area of the inner square is equal to:
Area if the inner square = x²
To obtain the area of the outer part of the rug we have to subtract the area of the inner square to the area of the rug.
Area of the outer part of the rug= 16 -x²
Feel free to ask for more if needed or if you did not understand something.
10 5/6 = 65/6
2 1/4 = 9/4
2 (9/4) = 9/2
So the length left is
65/6 - 9/2 =
65/6 - 27/6 =
38 / 6 =
19 / 3 =
6 1/3 in
sorry this was a late response
We are given that Peter buys 12 bunches of bananas for 9.00.
We need to determine how much peter will pay for 8 bunches.
Let us set up proportion now.
12 bunches of bananas for 9.00 = 12 : 9
Let us assume Peter will pay for 8 bunches = $x.
Therefore, 8 bunches of bananas for x = 8 : x.
<h3>Setting up proportion:</h3><h3>

</h3>
On cross-multiplying, we get
12x = 9×8
12x = 72.
Dividing both sides by 12, we get

x=6.
<h3>Therefore, Peter will pay $6 for 8 bunches.</h3>