i cant see the lines clearly, soo all i can say is that:
- x is the horizontal line, y is vertical
- quadrant I all positive
- quadrant II x negative, y positive
- quadrant III all negative
- quadrant IIII y positive, y negative
- for every line the point passes, it counts as 1
- each point does not have a certain order to go in the chart
sorry, but this is the best i can do for now! make sure your pictures are clear next time :D
Right isosceles triangle
so
x^2 = 3^2 + 3^2
x^2 = 9 + 9
x^2 = 18
x = 3√2
answer
3√2 unit (last one)
Advanced mathematical concepts glencoe answers indeed.
Answer:
40, 42 and 44
Step-by-step explanation:
Mark these even consecutive integers as (2n-2), 2n and (2n+2)
Note that since they are integers, n > 0 and 2n is always even
Writing the equation
(2n-2) * 2n = 38 * (2n+2) + 8
// divide both sides by 2
(2n-2) * n = 19 * (2n+2) + 4
- 2n = 38n + 38 + 4
- 2n - 38n - 38 - 4 = 0
- 40n - 42 = 0
// divide both sides by 2
<u />
- 20n - 21 = 0
// rewrite the equation
<u></u> + n - 21n - 21 = 0
n * (n+1) - 21n - 21 = 0
n * (n+1) - 21 * (n+1) = 0
(n+1) * (n-21) = 0
// separate the two possible cases
n + 1 = 0 and n - 21 = 0
n = -1 n = 21
Note that here n has to be an integer, so case n = -1 can't be a solution. Therefore we use n = 21
Calculating the consecutive even integers
2n - 2 = 2 * 21 - 2 = 40
2n = 2 * 21 = 42
2n + 2 = 2 * 21 + 2 = 44
Coordinates are written in the form (x,y), x being a certain length along the horizontal x axis and y being a certain height along the vertical y axis. Positive y numbers are in the top half of the plane and negative y numbers are on the bottom. Positive x numbers are on the right side of the plane and negative x numbers are on the left. Therefore, (3,-7) would be 3 across to the right from the origin (where the x and y axes intersect) at (3,0) and 7 downwards from that point to (3,-7).
