if you are asking how many are being bought to somewhere all together it is 30.
Using the distance formula,
to find the length of each sides, the longest side is about 6.71 units which is: <u>d. AB</u>
To find the longest side, we would apply the distance formula to find the length of each side.
<em><u>Given:</u></em>
- A(−2,1)
- B(4,4)
- C(5,0)
- D(−1,−2)
Distance formula = ![\sqrt{(y_2 - y_1)^2 + (x_2 - x_1)^2}](https://tex.z-dn.net/?f=%5Csqrt%7B%28y_2%20-%20y_1%29%5E2%20%2B%20%28x_2%20-%20x_1%29%5E2%7D)
<u>Length of AB:</u>
![A(-2,1) = (x_1, y_1)\\\\B(4,4) = (x_2, y_2)](https://tex.z-dn.net/?f=A%28-2%2C1%29%20%3D%20%28x_1%2C%20y_1%29%5C%5C%5C%5CB%284%2C4%29%20%3D%20%28x_2%2C%20y_2%29)
![AB = \sqrt{(4 - 1)^2 + (4 - (-2))^2}\\\\AB = \sqrt{9 + 36}\\\\AB = \sqrt{45} \\\\AB = 6.71](https://tex.z-dn.net/?f=AB%20%3D%20%5Csqrt%7B%284%20-%201%29%5E2%20%2B%20%284%20-%20%28-2%29%29%5E2%7D%5C%5C%5C%5CAB%20%3D%20%5Csqrt%7B9%20%2B%2036%7D%5C%5C%5C%5CAB%20%3D%20%5Csqrt%7B45%7D%20%5C%5C%5C%5CAB%20%3D%206.71)
<u>Length of BC:</u>
![B(4,4) = (x_1, y_1)\\\\C(5,0) = (x_2, y_2)](https://tex.z-dn.net/?f=B%284%2C4%29%20%3D%20%28x_1%2C%20y_1%29%5C%5C%5C%5CC%285%2C0%29%20%3D%20%28x_2%2C%20y_2%29)
![BC= \sqrt{(0-4)^2 + (5-4)^2}\\\\BC = \sqrt{16 + 1}\\\\BC = \sqrt{17} \\\\BC =4.12](https://tex.z-dn.net/?f=BC%3D%20%5Csqrt%7B%280-4%29%5E2%20%2B%20%285-4%29%5E2%7D%5C%5C%5C%5CBC%20%3D%20%5Csqrt%7B16%20%2B%201%7D%5C%5C%5C%5CBC%20%3D%20%5Csqrt%7B17%7D%20%5C%5C%5C%5CBC%20%3D4.12)
<u>Length of CD:</u>
![C(5,0) = (x_1, y_1)\\\\ D(-1,-2) = (x_2, y_2)](https://tex.z-dn.net/?f=C%285%2C0%29%20%3D%20%28x_1%2C%20y_1%29%5C%5C%5C%5C%20D%28-1%2C-2%29%20%3D%20%28x_2%2C%20y_2%29)
![CD = \sqrt{(-2 - 0)^2 + (-1 - 5)^2}\\\\CD = \sqrt{4 + 36}\\\\CD = \sqrt{40} \\\\CD =6.32](https://tex.z-dn.net/?f=CD%20%3D%20%5Csqrt%7B%28-2%20-%200%29%5E2%20%2B%20%28-1%20-%205%29%5E2%7D%5C%5C%5C%5CCD%20%3D%20%5Csqrt%7B4%20%2B%2036%7D%5C%5C%5C%5CCD%20%3D%20%5Csqrt%7B40%7D%20%5C%5C%5C%5CCD%20%3D6.32)
<u>Length of DA:</u>
![D(-1,-2) = (x_1, y_1)\\\\ A(-2,1) = (x_2, y_2)](https://tex.z-dn.net/?f=D%28-1%2C-2%29%20%3D%20%28x_1%2C%20y_1%29%5C%5C%5C%5C%20A%28-2%2C1%29%20%3D%20%28x_2%2C%20y_2%29)
![DA = \sqrt{(-2 - 1)^2 + (-1 - (-2))^2}\\\\DA= \sqrt{9 + 1}\\\\DA = \sqrt{10} \\\\DA = 3.16](https://tex.z-dn.net/?f=DA%20%3D%20%5Csqrt%7B%28-2%20-%201%29%5E2%20%2B%20%28-1%20-%20%28-2%29%29%5E2%7D%5C%5C%5C%5CDA%3D%20%5Csqrt%7B9%20%2B%201%7D%5C%5C%5C%5CDA%20%3D%20%5Csqrt%7B10%7D%20%5C%5C%5C%5CDA%20%3D%203.16)
Therefore, the using the distance formula,
to find the length of each sides, the longest side is about 6.71 units which is: <u>d. AB</u>
Learn more here:
brainly.com/question/19799445
Answer:
10,071 years
Step-by-step explanation:
If 'a' is the fraction remaining, it satisfies the equation ...
a = (1/2)^(t/5750)
Solving for t, we get ...
log(a) = log(1/2)×t/5750
t = 5750×log(a)/log(1/2) ≈ -19,101.09×log(a) . . . years
__
If 70.3% is lost, then 1 -0.703 = 0.297 is the fraction remaining. The age is estimated to be ...
-19,101.09×log(0.297) ≈ 10,071 . . . years
The bones were about 10,071 years old.
conjuction because its an "and" statement.