Answer:
The center of this circle is found at (4, -2) and the radius is 6.
Step-by-step explanation:
The equation for a circle in standard for is ( x – h)² + ( y - k)² = r². In this equation, (h, k) is the center of the circle and r is the radius.
From the given equation, ( x – 4)² + ( y + 2)² = 36, h is already subtracted from x, so h = 4, but the k is not subtracted, so (y + 2) = [y - (-2)], and we see that k is -2. Therefore, the center of the circle is (4, -2) and 36 = r². By taking the square root of 36, we find that r = 6.
The center of this circle is found at (4, -2) and the radius is 6.
Answer:
80^2 + 150^2
6400 + 22500 = 28,900
Something squared will equal 28,900
170^2 = 28,900
170 is your answer!
Step 1
Write your problem.
537.95 x 9.5% = ?
Step 2
Convert the % to a decimal:
9.5% to 0.095
Step 3
Rewrite the problem with decimal replacing the percentage.
Now the problem looks like this:
537.95 x 0.095 = 51.11
This problem gives the amount of the tax.
Step 4
Add the original price with the tax amount:
537.95 + 51.11 = $589.06 (total cost)
![2.32\cdot10^3=2.32\cdot1,000=2,320\\\\4.2\cdot10^4=4.2\cdot10,000=42,000\\\\4.2\cdot10^{-2}=4.2\cdot0.01=0.042](https://tex.z-dn.net/?f=2.32%5Ccdot10%5E3%3D2.32%5Ccdot1%2C000%3D2%2C320%5C%5C%5C%5C4.2%5Ccdot10%5E4%3D4.2%5Ccdot10%2C000%3D42%2C000%5C%5C%5C%5C4.2%5Ccdot10%5E%7B-2%7D%3D4.2%5Ccdot0.01%3D0.042)
Multiplication by 10ⁿ → move decimal n places to the right.
Multiplication by 10⁻ⁿ → move decimal n places to the left.
For n ∈ N