Using the distance formula;
![|d|=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}](https://tex.z-dn.net/?f=%7Cd%7C%3D%5Csqrt%5B%5D%7B%28x_2-x_1%29%5E2%2B%28y_2-y_1%29%5E2%7D)
From the points given:
x₁=-1 y₁=-2 x₂=8 y₂=10
substitute the values into the formula;
![|d|=\sqrt[]{(8+1)^2+(10+2)^2}](https://tex.z-dn.net/?f=%7Cd%7C%3D%5Csqrt%5B%5D%7B%288%2B1%29%5E2%2B%2810%2B2%29%5E2%7D)
![=\sqrt[]{9^2+12^2}](https://tex.z-dn.net/?f=%3D%5Csqrt%5B%5D%7B9%5E2%2B12%5E2%7D)
![=\sqrt[]{81+144}](https://tex.z-dn.net/?f=%3D%5Csqrt%5B%5D%7B81%2B144%7D)
![=\sqrt[]{225}](https://tex.z-dn.net/?f=%3D%5Csqrt%5B%5D%7B225%7D)

The distance is 15 units.
Answer:
<u>The exponential model is: Cost after n years = 400 * (1 + 0.02)ⁿ</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Cost of the TV set in 1999 = US$ 400
Annual increase rate = 2% = 0.02
2. Write an exponential model to represent this data.
Cost after n years = Cost in 1999 * (1 + r)ⁿ
where r = 0.02 and n = the number of years since 1999
Replacing with the real values for 2020, we have:
Cost after 21 years = 400 * (1 + 0.02)²¹
Cost after 21 years = 400 * 1.5157
Cost after 21 years = $ 606.28
The TV set costs $ 606.28 in 2020.
<u>The exponential model is: Cost after n years = 400 * (1 + 0.02)ⁿ</u>
you would expect 99 duds in a box of 1430. 1430 divided by 130 is 11. therefore, multiply the amount of duds in the package of 130 times 11.
Hope this helps!!
1 yard is equivalent to 3 feet, 0.5 yards per minute is equivalent to 1 yard per 2 minutes, that would be 3 feet in 2 minutes, divide that by 2 and you get 1.5 feet per minute