Answer:
5.4
Step-by-step explanation:
I am not really sure about this type of problem, but a diameter has to cross the midpoint of the circle the dark dot and hit two point on both side of the circle. Yet the line 9.6 is not a diameter since it didn't go through the center, so the diameter has to be longer than 9.6. But x is looking for radius. so divide 9.6 by 2 u get 4.8 but that is not a diameter and the real diameter is longer that mean the radius is longer so the only answer is 5.4
Equation of a line:
![y=mx+c](https://tex.z-dn.net/?f=y%3Dmx%2Bc)
m = gradient: The difference between two y points and two x points.
![m= \frac{\Delta y}{\Delta x}](https://tex.z-dn.net/?f=m%3D%20%5Cfrac%7B%5CDelta%20y%7D%7B%5CDelta%20x%7D%20)
c = y-intercept: Where the line crosses the y-axis (x=0)
You have:
![y=\textunderscore\textunderscore \ x + \textunderscore](https://tex.z-dn.net/?f=y%3D%5Ctextunderscore%5Ctextunderscore%20%5C%20x%20%2B%20%5Ctextunderscore)
so you are missing the m and the c.
To calculate m find two y coordinates -you have (12,
<u>7</u>) and (0, <u>
1</u>)- and subtract them. Then divide this by the subtracted values of the x coordinates -you have (<u>
12</u>, 7) and (<u>
0</u>, 1)- This gives:
![m= \frac{7-1}{12-0}](https://tex.z-dn.net/?f=m%3D%20%5Cfrac%7B7-1%7D%7B12-0%7D%20)
![m= \frac{6}{12}](https://tex.z-dn.net/?f=m%3D%20%5Cfrac%7B6%7D%7B12%7D%20)
![m=0.5](https://tex.z-dn.net/?f=m%3D0.5)
To calculate the c, you just see where the line crosses the y-axis. Because you have the point (0, 1), you know that when x=0, y=1. Because x=0 is on the y-axis, you can tell that the line passes through y=1. This makes your c = 1:
![c=1](https://tex.z-dn.net/?f=c%3D1)
When you plug these values into the equation you get your answer:
I think you mean x^2 - 7x + 8
This is a basic factoring problem:
What two numbers multiply to make 8 and add to make -7?
There are no two numbers that work!
Therefore, it is prime
4/7 is the simplest form
You can divide 20 by 5 and get 4 and divide 35 by 5 and get 7
Answer:
60π
Step-by-step explanation:
2π(3 × 7 ) + 2π (3)^2
Distribute: 2x3x7 and 2x3^2
42π + 18π
That gives 60π.