Associative property of multiplication
Answer:
17. 6
18. 18 (as shown)
19. 10/3 = 3 1/3
20. 20/3 = 6 2/3
Step-by-step explanation:
17. For this, you can subtract the given length GB=12 from the length you found for problem 18, BF=18. Doing that tells you FG = 18-12 = 6, as you have marked on the diagram.
19. As with median BF, the point G divides it into two parts that have the ratio 1:2. The distance from G to D is the shorter of the distances, so you have ...
... GD = (1/3) CD = (1/3)·10 = 10/3
... GD = 3 1/3
20. You can subtract GD from CD to get CG, or you can multiply CD by 2/3. The result is the same either way.
... CG = CD -GD = 10 -3 1/3
... CG = 6 2/3
_____
<em>Comment on centroid and median</em>
The centroid (G) divides each median into parts in the ratio 1:2. Hence the shorter of those parts is half the length of the longer one, or 1/3 the total length of the median.
The longer of the parts is double the length of the shorter one, or 2/3 the total length of the median.
Your marking of median BF seems to show an understanding of these relationships. (Total length: 18; length of parts: 6 and 12.)
D. F(x)=x^2. That’s The quadratic parent function
Hello from MrBillDoesMath!
Answer:
For y = 4x, the domain of the function is all real numbers. This can be indicated as ( -infinity, infinity),
...later part of question:...
..."because an exponent can be any real"
exponent? !!!
Did you mean y = 4^x ? In this case the domain of y is all real numbers ann the range is (0, infinity), where the value 0 is not included in the range.
Thank you,
MrB
The number of water stations there are along the 13 1/2 miles long road race according to the task content is; Choice C; 18 water stations.
<h3>What is the number of water stations along the road race?</h3>
It follows from the task content that the number of water stations can be determined as follows;
13 1/2 ÷ 3/4
= 27/2 × 4/3
= 18 water stations.
Read more on fraction division;
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