Answer:
4. No
5. No
6. No
7. No
8. No
9a. 2 : 3 = 8 : 12 Extremes: 2, 12. Means: 3, 8
9b. 90 : 36 = 135 : 54 Extremes: 90, 54. Means: 36, 135
Step-by-step explanation:
4. 12 : 25 and 6 : 13 are NOT equal. NO.
5. 64 : 120 = 8 : 15 and 60 : 100 = 3 : 5. NOT equal. NO
6. 37 : 115 and 296 : 966 = 148 : 483. NOT equal. NO
7. 300 : 200 = 3 : 2 and 6 : 5 are NOT equal. NO.
8. 8 : 10 = 4 : 5 and 11 : 14 are NOT equal. NO.
9a. 2 : 3 = 8 : 12 Extremes: 2, 12. Means: 3, 8
9b. 90 : 36 = 135 : 54 Extremes: 90, 54. Means: 36, 1135
Answer:
Step-by-step explanation:
The standard equation for a circle is given by:
Where (h, k) is the center and r is the radius.
We know that the center is (-4, 8). So, substitute -4 for h and 8 for k:
Simplify:
Now, we will need to find r.
We know that it passes through the point (-2, -1). So, we can substitute -2 for x and -1 for y and solve for r. So:
Evaluate:
Square:
Add:
So, r squared is 85.
We don’t actually have to solve for r itself, since we will have to square it anyways.
So, we have:
Substituting 85 for r squared, we get:
And we have our equation.
The answer to this is a=3
(8×2.5).10²=20.10²
=2.10³
=2×10^3
She has 7 soccer trophies.
So lets assume she wants to display it in a straight line:
The 1st has 7 ways
The 2nd has 6 ways
The 3rd has 5 ways
The 4th has 4 ways
until the last.
Total = 7 × 6 ×5 × 4 × 3 × 2 × 1 = 5040 ways.