Simplify the expression (8+i)(2+7i)

Given : (8 + i)(2 + 7i)

⇒ (8 × 2) + (8 × 7i) + (i × 2) + (i × 7i)

⇒ 16 + 56i + 2i + 7i²

We know that i² = -1

⇒ 16 + 58i + 7(-1)

⇒ 16 + 58i - 7

⇒ 9 + 58i

constant acceleration- a

constant velocity- c

no velocity or acceleration- b

explanation:

for body moving with a constant acceleration, the rate of change of displacement changes over time. this is proven by the increasing gradient of the curve (a) against time.

a body that is moving at constant velocity covers equal distances over equal periods of time, thus the straight line with a constant gradient c.

a stationary body   covers no displacement as time elapses. thus the flat line with   zero gradient.

c

step-by-step explanation: