Answer:
![(3)\ y = -x](https://tex.z-dn.net/?f=%283%29%5C%20y%20%3D%20-x)
![(5)\ y = -3x -2](https://tex.z-dn.net/?f=%285%29%5C%20y%20%3D%20-3x%20-2)
Step-by-step explanation:
Required
The equation in slope intercept form
Solving (3):
![m = -1](https://tex.z-dn.net/?f=m%20%3D%20-1)
![(x_1,y_1) =(4,-4)](https://tex.z-dn.net/?f=%28x_1%2Cy_1%29%20%3D%284%2C-4%29)
The equation in slope intercept form is:
![y = m(x - x_1) + y_1](https://tex.z-dn.net/?f=y%20%3D%20m%28x%20-%20x_1%29%20%2B%20y_1)
This gives:
![y = -1(x - 4) -4](https://tex.z-dn.net/?f=y%20%3D%20-1%28x%20-%204%29%20-4)
Expand
![y = -x + 4 -4](https://tex.z-dn.net/?f=y%20%3D%20-x%20%2B%204%20-4)
![y = -x](https://tex.z-dn.net/?f=y%20%3D%20-x)
Solving (5):
![m = -3](https://tex.z-dn.net/?f=m%20%3D%20-3)
![(x_1,y_1) = (1,-5)](https://tex.z-dn.net/?f=%28x_1%2Cy_1%29%20%3D%20%281%2C-5%29)
The equation in slope intercept form is:
![y = m(x - x_1) + y_1](https://tex.z-dn.net/?f=y%20%3D%20m%28x%20-%20x_1%29%20%2B%20y_1)
This gives:
![y = -3(x - 1) - 5](https://tex.z-dn.net/?f=y%20%3D%20-3%28x%20-%201%29%20-%205)
Expand
![y = -3x + 3 - 5](https://tex.z-dn.net/?f=y%20%3D%20-3x%20%2B%203%20-%205)
![y = -3x -2](https://tex.z-dn.net/?f=y%20%3D%20-3x%20-2)
Answer:
c,-0.45 ,
e. 1.16
g. 5/3
h. √2
Cannot be probability.
Step-by-step explanation:
Probability of any occurrence is always in the interval of 0 to 1. 0 and 1 inclusive.
0≤P(A)≤1
Any value outside this boundaries cannot be probability.
Therefore, -0.45,1.16,5/3 and √2 cannot be probability.
To solve we need to use Pythagoras theorem (
![a^{2} + b^{2} = c^{2}](https://tex.z-dn.net/?f=a%5E%7B2%7D%20%2B%20%20b%5E%7B2%7D%20%3D%20%20c%5E%7B2%7D%20)
)
There are 2 possible lengths for x: hypotenuse or one of the 2 shorter sides.
Hypotenuse:
10^{2} + 21^2 =
![x^{2}](https://tex.z-dn.net/?f=%20x%5E%7B2%7D%20)
100+441=
![\sqrt{541} = \sqrt{ x^{2} }](https://tex.z-dn.net/?f=%20%5Csqrt%7B541%7D%20%3D%20%20%5Csqrt%7B%20x%5E%7B2%7D%20%7D%20)
23.3≈x
Shorter leg:
![10^2 + x^2=21^2](https://tex.z-dn.net/?f=10%5E2%20%2B%20x%5E2%3D21%5E2)
![x^2= 21^2-10^2](https://tex.z-dn.net/?f=x%5E2%3D%2021%5E2-10%5E2)
![x^{2}](https://tex.z-dn.net/?f=%20x%5E%7B2%7D%20)
= 441-100
![\sqrt{ x^{2} } = \sqrt{341}](https://tex.z-dn.net/?f=%20%5Csqrt%7B%20x%5E%7B2%7D%20%7D%20%3D%20%5Csqrt%7B341%7D%20)
x≈18.47
Answer:
may be 11.460
sorry to say this but I'm not sure bout my answer
(ー_ー✿)
Answer: 12:1
Step-by-step explanation: Brian rides his bike 12 miles in 2 hours