Answer:
<em>The unit rate for the price to the length of the fabric will be $8 per meter.</em>
Step-by-step explanation:
The two points on the graph of the line are: (1, 8) and (3, 24)
For finding the unit rate for the price to the length of the fabric, we just need to find the slope of that line.
Formula for finding the slope is:
, where
and
are two given points.
Here,
and ![(x_{2}, y_{2})=(3, 24)](https://tex.z-dn.net/?f=%28x_%7B2%7D%2C%20y_%7B2%7D%29%3D%283%2C%2024%29)
So, the slope of the line will be: ![m= \frac{24-8}{3-1}= \frac{16}{2}= 8](https://tex.z-dn.net/?f=m%3D%20%5Cfrac%7B24-8%7D%7B3-1%7D%3D%20%5Cfrac%7B16%7D%7B2%7D%3D%208)
Thus, the unit rate for the price to the length of the fabric will be $8 per meter.
The equation for a circle is given by:
![\begin{gathered} (x-h)^2+(y-k)^2=r^2 \\ \text{where:} \\ \text{center}=(h,k) \\ r=\text{radius}=\frac{d}{2} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%28x-h%29%5E2%2B%28y-k%29%5E2%3Dr%5E2%20%5C%5C%20%5Ctext%7Bwhere%3A%7D%20%5C%5C%20%5Ctext%7Bcenter%7D%3D%28h%2Ck%29%20%5C%5C%20r%3D%5Ctext%7Bradius%7D%3D%5Cfrac%7Bd%7D%7B2%7D%20%5Cend%7Bgathered%7D)
so:
![\begin{gathered} d=8 \\ r=\frac{8}{2}=4 \\ C(h,k)=(1,-3) \\ (x-1)^2+(y+3)^2=16 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20d%3D8%20%5C%5C%20r%3D%5Cfrac%7B8%7D%7B2%7D%3D4%20%5C%5C%20C%28h%2Ck%29%3D%281%2C-3%29%20%5C%5C%20%28x-1%29%5E2%2B%28y%2B3%29%5E2%3D16%20%5Cend%7Bgathered%7D)
The point which lies on the circle will be the one which satisfies the equation, hence:
Answer:
0.83
Step-by-step explanation:
Remark
The tricky part is recognizing that BY = itself. It's called the reflexive property. The rest of it is done just by looking at the diagram.
<BYS = <BYV (The diagrams says these two are equal.
SY = YV Again the two lines are marked that way.
BY = BY A line is always equal to itself.
Conclusion
These two are congruent by SAS