You and a friend are driving go-karts on two different tracks. As you drive on a straight section heading east, your friend pass
es above you on a straight section heading south. Are these sections of the two tracks???
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We have been given that a right triangle with integer sides has area equal to 30. We are asked to find the length of hypotenuse of right triangle.
We know that area of triangle is half the product of its base length and height.
Since our given triangle is a right triangle, so its base and height will be legs of right triangle.
This means that product of two bases is 60.
Now we need to find two multiples of 60 such that they are make a right triangle.
Multiples of 60:
1, 60
2, 30
3, 20
4, 15
5, 12
6, 10
We know that (5, 12 and 13) is a Pythagoras triplet.
Therefore, the hypotenuse of right triangle is 13 units.
Answer:
Option b
Step-by-step explanation:
The equation has center in (0,0).
But the transformation shifts the center of the equation to the point (5, -6).
Therefore, when applying we will have the following equation translated.
.
Simplifying we have:
Now we expand and
The equation of a circle has the form
For h = 1 and q = 1.
If and
then the graph becomes an ellipse.
In this problem h = 4 and q = 5 therefore the figure is an ellipse