Answer:
blank area = 1.5π units²
Step-by-step explanation:
area of full circle = πr² = π6² = 36π units²
blank area = (15/360)(36π) = 1.5π units²
Answer:
y = 1/2x - 3/2
Step-by-step explanation:
The easiest way to find the inverse is to switch x and y and solve for y.
y = 2x + 3
x = 2y + 3 (Switch)
x-3 = 2y (Subtract y from both sides)
x/2 - 3/2 = y (Divide both sides by 2)
Answer:
f(15) = 242
Step-by-step explanation:
Step 1: Define
f(x) = 2(4 - x)²
f(15) = x = 15
Step 2: Substitute and Evaluate
f(15) = 2(4 - 15)²
f(15) = 2(-11)²
f(15) = 2(121)
f(15) = 242
This one is best done by elimination:
We need to start 4 meters away, so B is clearly wrong.
We first move towards Mr. Wilson (i.e. distance is decreasing) so A is wrong.
Our speed is faster on the way back, so the two sloped section must have differing slopes, so D is wrong.
(D also doesn't start at 4, it's wrong for two reasons.)
Only C is left.
We can check each part to make sure. First we start at 4m, then move away, then stay still (zero slope) for three seconds, then move back faster (higher slope). All parts check out ok.
Answer:
53
Step-by-step explanation:
37+90=127
180-127=53
