Yes, you are correct.
From the image, we can see 3 triangles, the large triangle and the two triangles that make the larger triangle.
All 3 of these triangles are similar since they're angle measurements are the same (can be proven by geometry).
We can gather the following information from the given information.
- The largest triangle (the one made up of two triangles) has a hypotenuse of 3+9=12, and a leg length of x. The hypotenuse to leg ratio is 12/x
- The second largest triangle has a hypotenuse length x and leg length 9. The hypotenuse to leg ratio is x/9
We know the hypotenuse to corresponding leg ratio must be equal since these two triangles are similar. Thus, we have the equation:
12/x = x/9
Using the cross product property gives us:
x² = 9 × 12
x² = 108
Taking the square root of both sides gives us:
x = √108
= 6 √3
Thus, your answer is correct. Great job!
Let me know if you need any clarifications, thanks!
16 is correct
and so is negitive 8
Since the only places where an x-ordinate exist are the closed circles, the domain will simply be:
D: { -5, -4, -3, 1, 2, 5 }
Answer:
True
Step-by-step explanation:
Absolute value tells the distance a number is from 0.
because 7 is 7 units away from 0.
because -13 is 13 units away from 0.
because 0 is 0 units away from 0
Absolute value always produces a number greater than or equal to 0, never negative.
