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.
90° becuase 60+30 = 90 and 90+90=180
Answer:
B: x=-2
Step-by-step explanation:
This is because x=-2 is where the parabola is split into two equal halves.
Answer:
A and C
Step-by-step explanation:
Given
2cos²x - 2 = 0 ( add 2 to both sides )
2cos²x = 2 ( divide both sides by 2 )
cos²x = 1 ( take the square root of both sides )
cos x = ± 
= ± 1
cos x = 1 ⇒ x = 
(1) = 0°
cos x = - 1 ⇒ x = (- 1) = 180°
Answer:
Top box: Endpoint
Bottom box: Ray
Step-by-step explanation:
Assuming that the top box is supposed to be for the point shared by both rays, then it is a endpoint of the rays, as the lines do not continue past the point on the opposite side.
The bottom box will then be a ray, as no point is shown, and a arrow is used at the "end" of the line to signify that it will continue on <em>forever</em>.
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