Answer:
The 9 in the hundredths place is 10 times the 9 in the thousandths place
Step-by-step explanation:
Here, we want to compare the value of 9 in the hundredth place and the value of 9 in the thousandths place.
The value of 9 in the hundredth place has a value of 0.09 while the value of 9 in the thousandths place has a value of 0.009
This means we can write 5.899 as 5 + 0.8 + 0.09 + 0.009
Now back to the question, how does 0.09 compare to 0.009? we can see that 0.09 is 10 times 0.009
This mathematically means that;
0.09 = 10 * 0.009
Hence we can conclude that the 9 in the hundredths place is 10 times the 9 in the thousandths place
Or........
We already know 12 x 12 =144. So all you could do isis add 12 to 144 to get your complete answer. Which is:
12 x 13 = 156
Answer:
Simpiwe: 2km:45mins. - Mpume 4km: 1h. 30mins.
Step-by-step explanation:
Answer:
11:54pm
Step-by-step explanation:
Key details in the Question:
- Starting at 11:00 pm a bus makes a stop every 27 minutes.
- starting at 11:00pm a taxi makes a stop every 18 minutes.
The task is to find the time in which both the bus and taxi would make a stop.
Since the taxi has the shorter duration for a stop, we would use it as the basis for our calculations.
During the first taxi stop - 11:18pm
The Bus has not yet made its stop.
During the second taxi stop - 11:36pm
The Bus has made it's first stop (11:27pm) but is currently on the road.
During the third taxi stop - 11:54pm
The Bus would also be making it's second stop
Let's begin with <span>f(x) = a(x-h)^2+ k. Note that we must use "^" to indicate exponentiation. Write (x-h)^2, not (x-h)2.
If (-3,4) is the vertex, then the above equation becomes f(x) = a(x-[-3])^2 + 4, or
f(x) = a(x+3)^2 + 4. We are told that the graph passes through (-1,0), so must now substitute those coordinates into the above equation:
f(-1) = a([-1]+3)^2 + 4 = 0 (0 is the value of f when x is -1)
Then we have a(2)^2 + 4 =0, or 4a + 4 = 0. Thus, a = -1.
The equation of this parabola is now f(x) = -(x+3)^2 + 4.
Write it in "standard form:" f(x) = -(x^2 + 6x + 9) + 4, or
f(x) = -x^2 - 6x - 9 + 4, or
answer => f(x) = -x^2 - 6x - 5 = ax^2 + bx + c
Thus, a=-1, b=-6 and c= -5.</span>