Step-by-step explanation:
For two points (x₁, y₁) and (x₂, y₂), the distance between them is:
d² = (x₁ − x₂)² + (y₁ − y₂)²
The order of points 1 and 2 don't matter. You can switch it:
d² = (x₂ − x₁)² + (y₂ − y₁)²
This is basically the Pythagorean theorem for a coordinate system.
Let's do an example. If you have points (1, 2) and (4, 6), then the distance between them is:
d² = (4 − 1)² + (6 − 2)²
d² = 3² + 4²
d² = 9 + 16
d² = 25
d = 5
If you have points with negative coordinates, remember that subtracting a negative is the same as adding a positive.
For example, the distance between (-1, -2) and (4, 10) is:
d² = (4 − (-1))² + (10 − (-2))²
d² = (4 + 1)² + (10 + 2)²
d² = 5² + 12²
d² = 25 + 144
d² = 169
d = 13
Answer:
$5.16
Step-by-step explanation:
34.40 divided by .85 is 29.24. Subtract the diffrence of 34,40 and 29.24 which is $5.16. Hope this helps :)
Answer:
-50
Step-by-step explanation:
7(3 – 2w) + 2 - 3 where w = 5
21-14w+2-3= -50
I inferred 4% interest to be per annum.
Answer:
<u>about 19 annual withdrawals</u>
<u>Step-by-step explanation:</u>
First, we note that Rachel plans to withdraw $5,000 at the end of each year from a starting balance is $63,296.48, <u>excluding the 4% interests,</u> the total withdrawals possible is
$63,296.48/$5,000 = 12.65 (in years)
Including the 4% interest;
4% x $63,296.48 = $2,531.85
To find the possible withdrawals we multiply by the initial period excluding interest rates
$2531.85 * 12 = $31,901/5,000= 6.38 (in years)
Total: 6.38 + 12.65 = 19.03 (in years)