Answer:
The top tree correctly represents the sample space
Step-by-step explanation:
At the "root" of our tree, we can either have three branches for each of the flavors, or two branches for each of the types of crust. Here's how each of those branches continue:
- If we start with the <em>three branches for flavors</em>, each branch will have <em>two more branches for the types of crust</em>. Working down the tree, I could start by choosing the pepperoni branch, and then continue to choose either thin or hand-tossed crust.
- If we start with the <em>two branches for crusts</em>, each branch will have <em>three more branches for the flavors</em>. This option is represented as the first tree in the image, and in this case would be the correct choice.
<h3>
Answer: (-4, 8)</h3>
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Explanation:
The 90 degree counterclockwise rotation rule we use is

the x and y coordinates swap places, and we change the sign of the first coordinate after the swap.
After using that rotation rule, we would go from (8,4) to (-4, 8) which is the final answer.
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Extra info (optional section):
Define the following three points
A = (0,0)
B = (8,4)
C = (-4,8)
Use the slope formula to find that AB and AC have slopes of 1/2 and -2 in that order.
Those slopes multiply to -1, since (1/2)*(-2) = -1. This is a property of any two perpendicular lines as long as neither line is vertical and neither is horizontal. So this is sufficient to prove that the lines are perpendicular. This further means that a 90 degree rotation has taken place.
Answer:
(5,-6)
Step-by-step explanation:
This is where the two lines meet. I hope this helps ◕ ◡ ◕
Answer:
sorry for being late
1=40
2=50
3=50
4=130
5=90
Step-by-step explanation:
5.98E24 kg, and rounded I would not be able to determine, since it is a very large and complex equation.