Answer:
The possible values of x are 90°, 30° and 150°.
Step-by-step explanation:
Given that,
sin(2x) = cos(x) where 0° ≤ x < 180°
We know that, sin(2x) = 2 sinx cosx
2 sinx cosx = cosx
Subtract cosx on both sides
2 sinx cosx - cosx = 0
cosx (2sinx-1)=0
It means, cosx = 0 and (2sin x -1 ) = 0
cos x = cos0 and sinx = 1/2
x = 90° and x = 30°, 150°
Hence, the possible values of x are 90°, 30° and 150°.
Answer:
On a number line, -4 is located to the right of -5
Step-by-step explanation:
<span>x^2+4x-1/(x+2)^2=0
x^2 + 4x - 1 = 0
</span>
;
where a = 1, b = 4 and c = -1
Answer:
(x, y) ⇒ (½x, ½y)
(x, y) ⇒ (x + 7, y + 7)
Step-by-step explanation:
each x value of P'Q'R' is half of the x value for PQR
each y value of P'Q'R' is half of the y value for PQR
each x value of P"Q"R" is seven units to the right of the x value for P'Q'R'
each y value of P"Q"R" is seven units above the y value for P'Q'R'
Pretty sure its adjacent (2)
