Answer:
the length of the pole is 9.90 feet.
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
Answer:
4:24 p.m.
Step-by-step explanation:
Figure out how often the buses leave at the same time. This is the same as the least common multiple (LCM) of how often they leave the stadium.
The LCM is found by multiplying the maximum number of each prime factor found in any of the numbers.
The prime factors of a number are found by dividing it by whole numbers until the factors are all prime. Prime numbers only have the factors 1 and itself.
6 = 2 X 3
8 = 2 X 2 X 2
The greatest times 2 repeats is three times.
The greatest times 3 repeats is one time.
2 X 2 X 2 X 3 = 24
The LCM is 24, and the buses have the same leaving times every 24 minutes.
Find 24 minutes after 4:00 p.m. Change the minutes only, which are the numbers right of the colon : .
The buses will next leave together at 4:24 p.m.
<h3>
Answer: Choice (d)</h3>
Explanation:
To reflect over the y axis, we apply this rule
which says to flip the sign of the x term but keep the y coordinate the same.
So that means something like J(-2,5) becomes J ' (2, 5). The other points are handled in the same fashion and that leads us to choice (d). Points on the y axis will stay where they are.
You add two equations together to eliminate a variable. This particular problem is nice, because it's already setup to eliminate X.
3x - 4y = 9
<span>-3x + 2y = 9
</span>
When we add these two together, 3x - 3x cancels each other out, leaving us with 0x, or nothing.
We continue with -4y + 2y (leaves us with -2y) and 9+9 (18).
-2y = 18
18/-2 = -9.
Now we have y = -9, and we can go back into the problems to solve for x.
<span>3x - 4(-9) = 9
</span>
3x + 36 = 9.
3x = -27
x = -9.
Confirm with the final equation:
-3(-9) + 2(-9) = 9
27 - 18 = 9
9 = 9 --- Confirmed.
