The first step before graphing these is to ensure they are both in y=mx+b (slope-intercept) format.
Only the first one (y-2x=0) is not.
To convert this to slope-intercept form, just add 2x to both sides so y is isolated!
This leaves us with y=2x+0, which is in slope-intercept form.
When graphing these, you must identify the slope and the y-intercept.
In y=mx+b form, the m is slope and b is y-intercept.
In y=2x+0, the slope is 2 and the y-intercept is 0.
This means there is a slope of positive 2 and the y-intercept is (0, 0).
The y-intercept is the y-value where ever x=0.
In y=6x-10, the slope is 6 and the y-intercept is -10.
This means there is a slope of positive 6 and the y-intercept is (0, -10).
Hope this helps! :)
This means Square root (^1/2). this is kind of hard to read. anyways. 32^(1/2) separates into 4^(1/2) and 8^(1/2), which further separates into 4^(1/2) and 2^(1/2), root 4 becomes 2, their are two root 4's, so you get 2 x 2, and you are left with 2^(1/2) now why go to all this trouble. because now you can multiply the 4 you created (2x2) times, the 7... giving you 28*2^(1/2) now subtract it from the the other one with root 2. -5*2^(1/2), giving you 23*2^(1/2)-...idk what that last bit is. if its a odd number then this is the end of the problem, if you can get it to root 2. then do that and simplify.
Answer:
27$
Step-by-step explanation:
Answer:
5in x 10in
Step-by-step explanation:
Solution:
1. You have to assume that the ring will land on the board and as a result, just focus on one rectangle of the board since they are all the same size.
2. For the ring to land entirely inside the rectangle, the center of the ring needs to be 1.5 inches inside the border (radius is 1.5 inches), so the "winning rectangle" will have dimensions:
L = (x - 2(1.5)) = x - 3
w = (2x - 2(1.5)) = 2x-3.
3. Now, we will set up and solve our geometric probability equation. The winning rectangle's area of (x-3)*(2x-3) divided by the total rectangle's area of x*(2x) = 28%
(2x-3)*(x-3)/(2x^2) = .28
2x^2 - 9x + 9 = .56x^2
1.44x^2 - 9x + 9 = 0
4 . Now you can plug that in the quadratic formula and get the solutions x = 1.25 or 5. However, it cannot by 1.25 because that is too small of a dimension for the the circle with diameter of 3 to fit in, the answers has to be 5.
5. As a result, the dimensions of the rectangles are 5in x 10in.