Answer:
x^2 + y^2 = r^2
Step-by-step explanation:
See image. "An angle in standard position" means the vertex (point part) of the angle is at the origin (0,0). And one side of the angle is glued onto the x-axis. The other side of the angle is free to rotate around the axis. That's the terminal side. Then there's a point P (x,y) on that side. See image. And r is labelled there. This set up makes a right triangle. So I put Pythagorean theorem as the answer here, but honestly if you are learning any right triangle theorems or trigonometry, you could use this set up. The leg that lays along the x-axis is x units long and the other leg is y units long. The hypotenuse is r units long.
Answer:
100
Step-by-step explanation:
Okay so I'm not 100% sure but I think it's 100 because:
Angle B and D are the same, so the 12.5 areas will be the same (I honestly suck at explaining I'm really sorry.) But, if you add the sides from angle B and D it will be 50 because 12.5 + 12.5 + 12.5 + 12.5 (or 12.5 * 4). Meanwhile, For angle A and C, both outsides are the same as the other side.
I'm so sorry I can't explain the problem well but once you add them:
11.5 + 11.5 + 12.5 + 12.5 + 12.5 + 12.5 + 13.5 + 13.5 = 100
Answer:
1. -12x - 9y - 6
2. -12x + 36
3. -240
4. -2
5. x = -57
6. x = -6
7. x = 48
8. x = 20
9. x = -288
10. n = 8
Step-by-step explanation:
1.
-5x - 13 + 3y - 7x - 12y + 7
-12x - 13 + 3y - 12y + 7
-12x - 6 + 3y - 12y
-12x - 6 - 9y
-12x - 9y - 6
2.
-3(4x - 12)
-3(4x) + (-3)(-12)
-12x + 36
3.
6x - 282
6(7) - 282
42 - 282
-240
4.
6x + 2(y + x)
6(-2) + 2(7 + (-2))
-12 + 2(7 - 2)
-12 + 2(5)
-12 + 10
-2
5.
x - 23 = -80
+ 23 +23
x = -57
6.
12x = -72
/12 /12
x = -6
7.
x/4 = 12
* 4 * 4
x = 48
8.
3x + 12 = 72
- 12 - 12
3x = 60
/3 /3
x = 20
9.
x/4 - 8 = -80
+ 8 + 8
x/4 = -72
* 4 * 4
x = -288
10.
-4(1 - 5n) - 8n = 92
-4 + (-4)(-5n) - 8n = 92
-4 + 20n - 8n = 92
-4 + 12n = 92
12n - 4 = 92
+ 4 + 4
12n = 96
/12 /12
n = 8
First equation is
v=-3
And the second equation is
v=6
If together it is
v=-3,6
2.875 is 69/24 as a terminating decimal
