Answer:
Zero
Step-by-step explanation:
Answer:
24.8 km
Step-by-step explanation
To do this we would just multiply 24.8 by 10,000 which is 248000 and if we divide that by 10000 (to get km) we would get 24.8km
9514 1404 393
Answer:
10) C 4/9
11) B 24
Step-by-step explanation:
10) The area ratio is the square of the ratio of side lengths. The ratio of side lengths is ...
RS/LM = 6/9 = 2/3
Then the area ratio is ...
(2/3)² = 4/9
__
11) Using the result of question 10, the area of ∆RST is ...
(4/9)(54 in²) = 24 in²
Answer:
![2 \sqrt{2} + i \sqrt{2}](https://tex.z-dn.net/?f=2%20%5Csqrt%7B2%7D%20%20%2B%20i%20%5Csqrt%7B2%7D%20)
Step-by-step explanation:
The square of a complex number is a complex number. Here, we have:
![{(a + bi)}^{2} = 6 + 8i](https://tex.z-dn.net/?f=%20%7B%28a%20%2B%20bi%29%7D%5E%7B2%7D%20%20%3D%206%20%2B%208i)
![{a}^{2} + 2abi - {b}^{2} = 6 + 8i](https://tex.z-dn.net/?f=%20%7Ba%7D%5E%7B2%7D%20%20%2B%202abi%20-%20%20%7Bb%7D%5E%7B2%7D%20%20%3D%206%20%20%2B%208i)
We then have this system of equations:
![{a}^{2} - {b}^{2} = 6](https://tex.z-dn.net/?f=%20%7Ba%7D%5E%7B2%7D%20%20-%20%20%7Bb%7D%5E%7B2%7D%20%20%3D%206)
![2ab = 8](https://tex.z-dn.net/?f=2ab%20%3D%208)
Solving this system:
![ab = 4](https://tex.z-dn.net/?f=ab%20%3D%204)
![b = \frac{4}{a}](https://tex.z-dn.net/?f=b%20%3D%20%20%5Cfrac%7B4%7D%7Ba%7D%20)
![{a}^{2} - {( \frac{4}{a}) }^{2} = 6](https://tex.z-dn.net/?f=%20%7Ba%7D%5E%7B2%7D%20%20-%20%20%7B%28%20%5Cfrac%7B4%7D%7Ba%7D%29%20%7D%5E%7B2%7D%20%3D%206%20)
![{a}^{2} - \frac{16}{ {a}^{2} } = 6](https://tex.z-dn.net/?f=%20%7Ba%7D%5E%7B2%7D%20%20-%20%20%5Cfrac%7B16%7D%7B%20%7Ba%7D%5E%7B2%7D%20%7D%20%3D%206%20)
![{a}^{4} - 16 = 6{a}^{2}](https://tex.z-dn.net/?f=%20%20%7Ba%7D%5E%7B4%7D%20%20-%2016%20%3D%20%206%7Ba%7D%5E%7B2%7D%20)
![{a}^{4} - 6 {a}^{2} - 16 = 0](https://tex.z-dn.net/?f=%20%7Ba%7D%5E%7B4%7D%20%20-%206%20%7Ba%7D%5E%7B2%7D%20%20-%2016%20%3D%200)
![( {a}^{2} - 8)( {a}^{2} + 2) = 0](https://tex.z-dn.net/?f=%28%20%7Ba%7D%5E%7B2%7D%20%20-%208%29%28%20%7Ba%7D%5E%7B2%7D%20%20%2B%202%29%20%3D%200)
![{a}^{2} = 8](https://tex.z-dn.net/?f=%20%7Ba%7D%5E%7B2%7D%20%20%20%3D%208)
![a = 2 \sqrt{2}](https://tex.z-dn.net/?f=%20a%20%3D%202%20%5Csqrt%7B2%7D%20)
![b = \frac{4}{2 \sqrt{2} } = \sqrt{2}](https://tex.z-dn.net/?f=b%20%3D%20%20%5Cfrac%7B4%7D%7B2%20%5Csqrt%7B2%7D%20%7D%20%3D%20%20%5Csqrt%7B2%7D%20%20)
Answer:
Interquartile Range = 34
Range = 55
Step-by-step explanation:
Max - Min = Range
75 - 20 = 55
Quartile 3 - Quartile 1 = IQR
68 - 34 = 34