Answer:
Scale Factor = 2
Step-by-step explanation:
ABC is your original triangle and A'B'C' is the dilation. You know these are similar triangles so only one side has to be used to find the scale factor. AB has a length of 3 and A'B' has a length of 6 so you know the side lengths of A'B'C' are going to be 2 times the size of triangle ABC side lengths. This gives you a scale factor of 2.
Absolute value of -1/3 is 1/3
Answer:The team won 15 games
Step-by-step explanation:
Given no of soccer games =50
Ratio of wins to losses =3:7
Let no of wins =
and no of losses =
Now
Dividing both sides by 10
x=5
So no of wins =3x =
=15
We found the answer as 10 parts equals 50
So 3 parts equals 15
After a little manipulation, the given diff'l equation will look like this:
e^y * dy = (2x + 1) * dx.
x^2
Integrating both sides, we get e^y = 2------- + x + c, or e^y = x^2 + x + c
2
Now let x=0 and y = 1, o find c:
e^1 = 0^2 + 0 + c. So, c = e, and the solution is e^y = x^2 + x + e.
