The percentage of dogs who didn't try to bite the groomer is; 65%.
<h3>What is the percentage of dogs that did not try to bite the groomer?</h3>
If follows from the task content that the number of dogs is 300 of which, 0.35 faction of the whole tried to bite the groomer.
Hence, the faction that did not try to bite the groomer is; 0.65 which corresponds to 65% when expressed as a percentage.
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Answer:
![(x-5)^2 + (y+4)^2 = 10^2](https://tex.z-dn.net/?f=%28x-5%29%5E2%20%20%2B%20%28y%2B4%29%5E2%20%3D%2010%5E2)
Step-by-step explanation:
We need to find the equation of the circle. First, the formula:
![(x-h)^2 + (y-k)^2 = r^2](https://tex.z-dn.net/?f=%28x-h%29%5E2%20%2B%20%28y-k%29%5E2%20%3D%20r%5E2)
Where (h,k) is the center and r is the radius
The center is (5,-4), so we can say:
![(x-5)^2 + (y+4)^2 = r^2](https://tex.z-dn.net/?f=%28x-5%29%5E2%20%20%2B%20%28y%2B4%29%5E2%20%3D%20r%5E2)
Now, to find the radius, we can use the distance formula to find distance between (5,4) and (-3,2).
The distance formula is ![\sqrt{(y_2-y_1)^2 + (x_2-x_1)^2}](https://tex.z-dn.net/?f=%5Csqrt%7B%28y_2-y_1%29%5E2%20%2B%20%28x_2-x_1%29%5E2%7D)
Where
x_1 = 5
x_2 = -3
y_1 = 4
y_2 = 2
Plugging in, we get:
![\sqrt{(2+4)^2 + (-3-5)^2} \\=\sqrt{6^2 + 8^2}\\ =\sqrt{100} \\=10](https://tex.z-dn.net/?f=%5Csqrt%7B%282%2B4%29%5E2%20%2B%20%28-3-5%29%5E2%7D%20%5C%5C%3D%5Csqrt%7B6%5E2%20%2B%208%5E2%7D%5C%5C%20%3D%5Csqrt%7B100%7D%20%5C%5C%3D10)
Hence, the radius is 10 and we can write the equation of circle as:
![(x-5)^2 + (y+4)^2 = 10^2](https://tex.z-dn.net/?f=%28x-5%29%5E2%20%20%2B%20%28y%2B4%29%5E2%20%3D%2010%5E2)
Let's have time in minutes as x.
Now we will make the next equation
3x+126 = 2x+151 First we will add number (-126) to the both sides and get
3x+126-126=2x+151-126 => 3x= 2x + 25
3x=2x+25 Now we will add monom (-2x) to the both sides and get
3x-2x=2x-2x+25 => x=25 minutes
They spent the same time 25 minutes and earned the same amount of money
Wilson earned 3*25+126= 75+126= $201
Jonathan earned 2*25+151=50+151= $201
Good luck!!!