We have been given image of circle that passes through point
. We are asked to find the radius of the circle.
First of all, we will find the center of the circle.
We can see that center of circle is at point
.
Now we will use equation of circle to find radius.
, where, point (h,k) represents center of circle and r represents radius of circle.
Now we will substitute the coordinates of point
and coordinates of center
and solve for r as:
![(-7+2)^2+(-7+1)^2=r^2](https://tex.z-dn.net/?f=%28-7%2B2%29%5E2%2B%28-7%2B1%29%5E2%3Dr%5E2)
![(-5)^2+(-6)^2=r^2](https://tex.z-dn.net/?f=%28-5%29%5E2%2B%28-6%29%5E2%3Dr%5E2)
![25+36=r^2](https://tex.z-dn.net/?f=25%2B36%3Dr%5E2)
![61=r^2](https://tex.z-dn.net/?f=61%3Dr%5E2)
Switch sides:
![r^2=61](https://tex.z-dn.net/?f=r%5E2%3D61)
Now we will take positive square root on both sides:
![\sqrt{r^2}=\sqrt{61}](https://tex.z-dn.net/?f=%5Csqrt%7Br%5E2%7D%3D%5Csqrt%7B61%7D)
![r=\sqrt{61}](https://tex.z-dn.net/?f=r%3D%5Csqrt%7B61%7D)
Therefore, radius of circle will be
and center is at point
.
Answer:
C I did the test sorry if im wrong
Step-by-step explanation:
<3 Goodluck
Answer:
The correct option is the last
Step-by-step explanation:
To answer this question we must remember the exponents properties
It is known that when we have division of exponents of equal base, then we place the same base and subtract the exponents.
In this problem we do the opposite, that is, we have an expression in the form of exponents and we write it as the division of exponents of the same base.
![p_2 = 100000(0.4) ^ {d-4}](https://tex.z-dn.net/?f=p_2%20%3D%20100000%280.4%29%20%5E%20%7Bd-4%7D)
Then p2 can be written as:
![p_2 = \frac{100000 (0.4) ^ d}{(0.4) ^ 4}\\\\p_2 = \frac{100000 (0.4) ^ d}{0.0256}\\\\p_2 = 3906250 (0.4) ^ d\\](https://tex.z-dn.net/?f=p_2%20%3D%20%5Cfrac%7B100000%20%280.4%29%20%5E%20d%7D%7B%280.4%29%20%5E%204%7D%5C%5C%5C%5Cp_2%20%3D%20%5Cfrac%7B100000%20%280.4%29%20%5E%20d%7D%7B0.0256%7D%5C%5C%5C%5Cp_2%20%3D%203906250%20%280.4%29%20%5E%20d%5C%5C)
Therefore the correct option is the last
Here is your answer and an explanation
Answer: y = -2/3x
Explanation:
This can be determined by calculating the gradient of the straight line, using:
m=ΔyΔx
=−6−34−(−2)
=−96
=−32
Then we use the slope-point form of the straight line:
y−y1=m(x−x1)
to give:
y−3=−32(x−(−2))
∴y−3=−32(x+2)
∴y−3=−32x−3
∴y=−32x
First you would take 321 and subtract 5
316
they you would divide by 2
158
there are 158 boys
to find the # of girls take 158 and add 5
163