Answer: The midpoint of segment PQ is the number 2.5
note: 2.5 as a fraction is 5/2; as a mixed number 2.5 converts to 2&1/2
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Explanation:
Apply the midpoint formula to get the midpoint of -8 and 6
We simply add up the values and divide by 2 and we get (-8+6)/2 = -2/2 = -1
So point Q is at -1 on the number line, which is exactly halfway from R to P
Focus on just points P and Q now. Apply the midpoint formula again
Q = -1
P = 6
(Q+P)/2 = (-1+6)/2 = 5/2 = 2.5
So the midpoint of segment PQ is 2.5
The decimal 2.5 can be written as the mixed number 2&1/2, showing that this new point is exactly halfway between 2 and 3.
There are 720 total different combinations, and 24 of those will have the letters DAY consecutively within all those combinations.
<u>Explanation:</u>
FRIDAY is a six letter word.
To form all combinations of letters, we would have six choices of letters to fill the first spot. Whatever letter you choose for the first spot, you then have five choices of letters to fill the second spot. Four choices of letters to fill the third spot. And so on.
So, the total number of different combinations of the six letters would be 6!
6! = 6 X 5 X 4 X 3 X 2 X 1
= 720
DAY could appear consecutively starting in 4 different spots: the 1st, 2nd, 3rd, and 4th spots of all combinations. DAY will appear consecutively 6 times in each of those 4 starting spots.
6 X 4 = 24.
So, there are 720 total different combinations, and 24 of those will have the letters DAY consecutively within all those combinations.
The graph of g(x) is the graph of f(x) translated 2 units to the right and 6 units up.
<h3>
How does the graph of g(x) compare to the one of f(x)?</h3>
Here we have:
You can notice that if we take f(x), and we shift it 2 units to the right, we have:
g(x) = f(x - 2)
Then if we apply a shift upwards of 6 units, then we have:
g(x) = f(x - 2) + 3
Replacing f(x) by the cubic parent function, we have:
So we conclude that the graph of g(x) is the graph of f(x) translated 2 units to the right and 6 units up.
If you want to learn more about translations:
brainly.com/question/24850937
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Answer:
Reflection over the Y axis-
Step-by-step explanation:
Answer:
Mary has
3 10
shilling coins.
Step-by-step explanation:
