Answer:
x = 8
Step-by-step explanation:
If the number 212x5 is a multiple of 3, the sum of the digits needs to be a multiple of 3, so we have:
2 + 1 + 2 + x + 5 = 10 + x
The value of x can be 2, 5 or 8
If the number is a multiple of 11, we have to calculate the first number minus the second, plus the third, minus the fourth... and so on, and the result needs to be a multiple of 11. So we have:
2 - 1 + 2 - x + 5 = 8 - x
x needs to be 8, so we have 8 - 8 = 0, that is a multiple of 11.
So the value of x is 8.
Answer:
270°
Step-by-step explanation:
(0, -1) is at the 270° angle. If you do a 360°, you end up back where you started, so the angle is still 270°.
Answer:
distance across the pond: 13 yd
distance walked by Garret: 12 yd
Step-by-step explanation:
Data:
- distance across the pond: x yd
- distance walked by Sandy: 5 yd
- distance walked by Garret: x-1 yd
A right triangle is formed where the distance across the pond is the hypotenuse. From Pythagorean theorem:
x² = 5² + (x-1)²
x² = 25 + x² - 2x + 1
0 = 26 - 2x
x = 13
Put the first point on the m axis (vertical) at (0,250)
Then the second point at (1,225) then draw a line through both points
Answer:
3 x -3y = -9y
3 x -1 = -3
The factored expression is 3(-3y - 1)
Step-by-step explanation:
All you have to do is -9y / 3 = -3y and -3 / 3 = -1, then put those numbers in parentheses. All of that is multiplied by 3.
The reason is because if you distributed the 3 it would become:
3 * -3y + 3 * -1 = -9y - 3
