Answer:
(a) 5
(b) 10
(c) 13
Step-by-step explanation:
We know the distance between two points is:
d=![\sqrt{(x_{2} -x_{1} )^{2} +(y_{2}-y_{1})^{2}}](https://tex.z-dn.net/?f=%5Csqrt%7B%28x_%7B2%7D%20-x_%7B1%7D%20%29%5E%7B2%7D%20%2B%28y_%7B2%7D-y_%7B1%7D%29%5E%7B2%7D%7D)
we have the following pairs of points:
(a) (2, 4) and (5, 0)
![d=\sqrt{(5 -2)^{2} +(0-4)^{2}} \\\\d=\sqrt{(3)^{2} +(-4)^{2}} \\\\d=\sqrt{9+16}\\\\d=\sqrt{25} = 5](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%285%20-2%29%5E%7B2%7D%20%2B%280-4%29%5E%7B2%7D%7D%20%5C%5C%5C%5Cd%3D%5Csqrt%7B%283%29%5E%7B2%7D%20%2B%28-4%29%5E%7B2%7D%7D%20%5C%5C%5C%5Cd%3D%5Csqrt%7B9%2B16%7D%5C%5C%5C%5Cd%3D%5Csqrt%7B25%7D%20%3D%205)
(b) (8, 1) and (2, -7)
![d=\sqrt{(2 -8)^{2} +(-7-1)^{2}} \\\\d=\sqrt{(-6)^{2} +(-8)^{2}} \\\\d=\sqrt{36+64}\\\\d=\sqrt{100} = 10](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%282%20-8%29%5E%7B2%7D%20%2B%28-7-1%29%5E%7B2%7D%7D%20%5C%5C%5C%5Cd%3D%5Csqrt%7B%28-6%29%5E%7B2%7D%20%2B%28-8%29%5E%7B2%7D%7D%20%5C%5C%5C%5Cd%3D%5Csqrt%7B36%2B64%7D%5C%5C%5C%5Cd%3D%5Csqrt%7B100%7D%20%3D%2010)
(c) (-4, 6) and (1,-6)
![d=\sqrt{(1 -(-4))^{2} +(-6-6)^{2}} \\\\d=\sqrt{(5)^{2} +(-12)^{2}} \\\\d=\sqrt{25+144}\\\\d=\sqrt{169} = 13](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%281%20-%28-4%29%29%5E%7B2%7D%20%2B%28-6-6%29%5E%7B2%7D%7D%20%5C%5C%5C%5Cd%3D%5Csqrt%7B%285%29%5E%7B2%7D%20%2B%28-12%29%5E%7B2%7D%7D%20%5C%5C%5C%5Cd%3D%5Csqrt%7B25%2B144%7D%5C%5C%5C%5Cd%3D%5Csqrt%7B169%7D%20%3D%2013)
Answer:
<h2>A. 30</h2>
Step-by-step explanation:
![(f\circ f)(x)=f\bigg(f(x)\bigg)\\\\f\bigg(f(3)\bigg)\\\\\text{Calculate}\ f(3):\\\\f(3)=3^2-3=9-3=6\\\\f\bigg(f(3)\bigg)=f(6)=6^2-6=36-6=30](https://tex.z-dn.net/?f=%28f%5Ccirc%20f%29%28x%29%3Df%5Cbigg%28f%28x%29%5Cbigg%29%5C%5C%5C%5Cf%5Cbigg%28f%283%29%5Cbigg%29%5C%5C%5C%5C%5Ctext%7BCalculate%7D%5C%20f%283%29%3A%5C%5C%5C%5Cf%283%29%3D3%5E2-3%3D9-3%3D6%5C%5C%5C%5Cf%5Cbigg%28f%283%29%5Cbigg%29%3Df%286%29%3D6%5E2-6%3D36-6%3D30)
Answer:
12 km
Step-by-step explanation:
0.10 km = 1 minute
X = 120 minutes
(0.10)*(120) = 12
Answer:
Step-by-step explanation:
i think it might be a multible answer question so maybe just multiply is bye 12
The answer is D because 1 minute is .6 so 2 minutes would be 1.2, you just double it.