Step-by-step explanation:
17) no problem were noticed, just:
reflecting across Y-axis changes the coordinate 'x', no changes for coordinate 'y';
reflecting across X-axis changes the coordinate y, no changes for coordinate 'x'.
For more info see the attached picture.
Answer: ![y=\dfrac{-1}{3}x+3](https://tex.z-dn.net/?f=%20y%3D%5Cdfrac%7B-1%7D%7B3%7Dx%2B3)
Step-by-step explanation:
The equation of ab line that passes through two points (a,b) and (c,d) is given by :-
![(y-b)=\dfrac{d-c}{b-a}(x-a)](https://tex.z-dn.net/?f=%28y-b%29%3D%5Cdfrac%7Bd-c%7D%7Bb-a%7D%28x-a%29)
From the given picture , the line is passing through points (0,3) and (3,2).
Then, the equation of the line will be :-
![(y-3)=\dfrac{2-3}{3-0}(x-0)](https://tex.z-dn.net/?f=%28y-3%29%3D%5Cdfrac%7B2-3%7D%7B3-0%7D%28x-0%29)
![\Rightarrow y-3=\dfrac{-1}{3}x](https://tex.z-dn.net/?f=%5CRightarrow%20y-3%3D%5Cdfrac%7B-1%7D%7B3%7Dx)
![\Rightarrow y=\dfrac{-1}{3}x+3](https://tex.z-dn.net/?f=%5CRightarrow%20y%3D%5Cdfrac%7B-1%7D%7B3%7Dx%2B3)
Hence, the required equation of the line that represents the graphed function :
Answer:
![r = 0.01](https://tex.z-dn.net/?f=r%20%3D%200.01)
Step-by-step explanation:
In order to find r we have to square both sides of the equation
![0.1 = \sqrt{r} \\ {0.1}^{2} = { \sqrt{r} }^{2}](https://tex.z-dn.net/?f=0.1%20%3D%20%20%5Csqrt%7Br%7D%20%5C%5C%20%20%7B0.1%7D%5E%7B2%7D%20%20%3D%20%20%7B%20%5Csqrt%7Br%7D%20%7D%5E%7B2%7D%20)
The *square root* sign cancels out the *squared* sign therefore:
![{0.1}^{2} = r \\ 0.01 = r](https://tex.z-dn.net/?f=%20%7B0.1%7D%5E%7B2%7D%20%20%3D%20r%20%5C%5C%200.01%20%3D%20r)
Answer:
Step-by-step explanation:
the 3rd one
1) the sum of all three angles in a triangle is always 180, so number 5 is w=80
2)I assume they mean x. since the x angle and the 70 angle are a linear pair they must add to 180, so x has to be 110
3) the top 60 angle makes a vertical angles with the angle right below it. since vertical angles are congruent, the angle below has to be 60 also. again all 3 must add to 180 so o is also 60
4) these are all linear pairs. every angle shown has to be 90