Find the value of k in 7^5 *7^6 = 7^3 * 7^k

k = 8

Step-by-step explanation:

If you have 7 to the power (a + b) equals 7 to the power (x + y), then (a + b) and (x + y) have to equal each other, because the base (7) is the same on both sides of the equation.

5 + 6 = 3 + k

11 = 3 + k

11 - 3 = 3 - 3 + k

  8    =   k

∠acb = 8°

step-by-step explanation:

∠xba lies on the circle and is half the measure of the intercepted arc ax

hence

measure of arc ax = 2 × 42° = 84°

∠acb is outside the circle and is

∠acb = (arcab - arcax ), hence

∠acb = 0.5 (100 - 84) = 0.5 × 16° = 8°

6, 10

9, -13

12, -21

18, -23

step-by-step explanation:

you just add 6 to the x-coordinate and subtract 10 from the y-coordinate.