Answer:
k = 5
Step-by-step explanation:
given f(x) then f(x) + k represents a vertical translation of f(x)
• If k > 0 then a shift of k units up
• If k < 0 then a shift of k units down
f(x) crosses the y- axis at - 2
g(x) crosses the y- axis at 3
Thus g(x) is 5 units vertically up from f(x)
since g(x) = f(x) + k → then k = 5
Answer:
Step-by-step explanation:
x-11
Answer:
r = 8,9,10
Step-by-step explanation:
The given inequality is :
5r≤6r−8 ...(1)
We need to find the value of r.
Subtracting 5r to both sides of the inequality .
5r-5r≤6r-5r−8
0≤r−8
r ≥ 8
Hence, the values of r are 8,9,10.
Answer:
3000 meters
Step-by-step explanation:
1 kilometer = 1000 meters
1 kilometers = every 20 minutes
3× 1000 meters= 20 min ×3
3000 meters = 60 min/ 1 hour
Answer:
73
Step-by-step explanation:
Since DA is the diameter, this means that you can divide the circle into two half-circles. You will solve with the right half-circle. A half-circle has a 180 total degrees. Add up the values given and solve for x.
(2x) + (7x - 4) + (85) = 180
2x + 7x - 4 + 85 = 180
9x - 4 + 85 = 180
9x + 81 = 180
9x = 99
x = 11
Now that you have the value of x, solve for m∠CZB.
m∠CZB = 7x - 4
m∠CZB = 7(11) - 4
m∠CZB = 77 - 4
m∠CZB = 73
