Answer:
3125
Step-by-step explanation:
5 x 5 x 5 x 5 x 5
25 x 5 x 5 x 5
125 x 5 x 5
625 x 5
3125
We conclude that the distance between points C and D is 5 units.
<h3>
How to find the distance between the two points?</h3>
Remember that if we have two points (x₁, y₁) and (x₂, y₂), the distance between these points is:
d = √( (x₂ - x₁)^2 + (y₂ - y₁)^2)
In this case, we know that:
Point C has the coordinates (-1, 4)
Point D has the coordinates (2, 0)
Then the distance between these two points is:
d = √( (-1 - 2)^2 + (0 - 4)^2) = √25 = 5
We conclude that the distance between points C and D is 5 units.
If you want to learn more about distance between points:
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Answer:
483 840 ways
Step-by-step explanation:
Let you and your friend be A and B.
With three people always between you two,, we have
Case 1: AxxxBxxxxx
Case 2: xAxxxBxxxx
Case 3: xxAxxxBxxx
Case 4: xxxAxxxBxx
Case 5: xxxxAxxxBx
Case 6: xxxxxAxxxB
So there is 6 ways of arranging you two through the line and for each of the six cases,
If you two remained in your positions, the rest can be arranged in 8! ways
Also for each case, you two can interchange your positions in 2! ways
Therefore,
The photographer can rearranged the line keep three people between you an your friend in
8! * 2! * 6 = 483 840 ways
Answer:
Therefore
and
Step-by-step explanation:
Remember that if
= Identity Matrix
then .
Also remember that for any invertible matrix
Identity Matrix.
Therefore
Therefore
and
Answer:
1. No solution
2. Infinite many solutions
3. One solution
4. No solution
5. No solution
6. One solution
7. No solution
8. One solution
9. Infinite many solutions
10. Infinite many solutions
Step-by-step explanation: