As you can see in the graph, the dot is at (-8, -8).
It tells you the translate(move) the figure 6 units up, but since we're just focusing on the dot, just move the dot 6 units up.
If you do this, only the y coordinate will change, meaning it will be (-8,-2)
Answer: (-8, -8) is the point in the original position
(-8, -2) is the point in the final figure
Cos(Ф) - 2sin(Ф).cos(Ф) =0
Factorize--> cos(Ф)[ 1-2sin(Ф)] =0
a) cos(Ф) = 0 ==> Ф= 0 or (0+2kπ)
b) 1-2sin(Ф) =0 ==> -2sin(Ф) = - 1 ==> sin(Ф) =1/2 Or
sin(Ф) = 1/2 ==> Ф =π/3 OR π/3 + (k+1)π/3
When you multiply a whole number by a fraction, multiply the whole number by the numerator ( top number) and then divide by the denominator (bottom number).
8 x -8/9 = (8 *-8)/9 = -64/9 = -7 1/9 = -7.1
1.36 < sqrt(2) < 2.45
1.65 < sqrt(3) < 2.34
1.65 < sqrt(4) < 2.34
1.65 < sqrt(5) < 2.34
1.53 < sqrt(6) < 2.46
feel like several of these are wrong sorry