<em>Look</em><em> </em><em>at</em><em> </em><em>the</em><em> </em><em>attached</em><em> </em><em>picture</em><em> </em><em>⤴</em>
<em>Hope</em><em> </em><em>it</em><em> </em><em>will</em><em> </em><em>help</em><em> </em><em>u</em><em>.</em><em>.</em><em>.</em><em>.</em>
Answer:
1. (5,-8)
2. (7, -11)
3. 7 lines
4. (2,-8)
5. x = 15
Step-by-step explanation:
1. for translation over y=x you need to switch what is negative and what is positive
2. You add whatever number is said to be added to X and whatever number is said to be added to Y.
3. A regular heptagon has 7 equal sides so it has 7 lines of symmetry.
4. For over the x-axis you make the y negative (or if it is already negative you make it positive) you do the opposite for over the y-axis
5. When you have a mid-segment you take one side, 9 and 6, and you divide 9 by 6. You get 1.5, you then take 1.5 and multiply it by 10, that leaves you with 15
I hope I helped!
Answer:
number of ways = 720
Step-by-step explanation:
The number of ways six people sit in a six-passenger car is given by the number of permutations of 6 elements in 6 different positions ( seats), then
number of ways = number of permutations of 6 elements = 6! = 6 * 5 * 4 *3 * 2 * 1 = 720
Since the first person that sits can be on any of the seats , but then the second person that sits can choose any of 5 seats (since the first person had already occupied one) , the third can choose 4 ... and so on.
Answer:
8 pieces were obtained.
7 cuts made.
Step-by-step explanation:
(8x2 + 40x + 32) / (x2 + 5x + 4)
= 8.
Answer:
The height of the beam is: 
Step-by-step explanation:
The radius of the tunnel is r = 15 feet
The distance of the beam from the center of the tunnel is:

We have a right triangle, where:
- The Hypotenuse is 15 feet
- One side is 9 feet
- The other side is the height of the beam
Let's use Pythagoras theorem.



Therefore, the heigh of the beam is:

I hope it helps you!