Answer:
1. -72
2. -64
Step-by-step explanation:
it is increasing by 4 so,
-76, -72, -68, -64, -60, -56.
Answer:
Yes
Step-by-step explanation:
14/18 equals 7/9
Dividing by two on the first ratio makes:
7/9 equals 7/9
Answer: 19
Reasoning: the equation is 7 + (6 x 2) = 19
Answer:
sin(π/8) = (1/2)√(2-√2)
Step-by-step explanation:
Using the half-angle formula ...
We can let θ = π/4 and simplify the result as follows:
Answer:
k = 3
Step-by-step explanation:
Given
f(x) = 0.5x
g(x) = 0.5x - k
Required
Find k
<em>The question illustrates changing of positions of lines along the x and/or y axis;</em>
<em>But in this case; if graph f(x) is shifted down, then it represents a negative shift of points in the y axis.</em>
Given that f(x) = 0.5x
and f(x) is shifted down by 3 units to give g(x); then:
f(x) - 3 = g(x)
Substitute 0.5x for f(x)
0.5x - 3 = g(x)
Recall that g(x) = 0.5x - k ---------- (given)
0.5x - 3 = 0.5x - k
Subtract 0.5x from both sides
-0.5x + 0.5x - 3 = -0.5x + 0.5x - k
-3 = -k
Multiply both sides by -1
-3 * -1 = -k * -1
3 = k
k = 3
<em>Hence, the value of k is 3</em>
