Answer:
18.05
Step-by-step explanation:
0.65×3=1.95
20-1.95=18.05
C.) Add 5 more drops of blue food coloring and 1/2 teaspoon more of distilled vinegar
let's recall that i⁴ = 1 so then ![i^{28}\implies i^{4\cdot 7}\implies (i^4)^7\implies (1)^7\implies 1](https://tex.z-dn.net/?f=i%5E%7B28%7D%5Cimplies%20i%5E%7B4%5Ccdot%207%7D%5Cimplies%20%28i%5E4%29%5E7%5Cimplies%20%281%29%5E7%5Cimplies%201)
140% = 1,4 = 14/10
14/10 * x = 56 |(*10/14)
14/10 * 10/14 * x = 56 * 10/14 14/10 * 10/14 => 1
1 * x = (56*10)/14
x = 560/14
x = 40
A circle is centered at D(-1,3)D(−1,3)D, left parenthesis, minus, 1, comma, 3, right parenthesis. The point G(-10,1)G(−10,1)G, l
inysia [295]
We have been given that a circle is centered at D(-1,3). The point G(-10,1) is on the circle. We are asked to write the equation of circle.
We know that standard equation of a circle is
, with center at point (h,k) and radius r.
First of all we will find radius of circle using distance formula.
![r=\sqrt{(-10+1)^2+(1-3)^2}](https://tex.z-dn.net/?f=r%3D%5Csqrt%7B%28-10%2B1%29%5E2%2B%281-3%29%5E2%7D)
![r=\sqrt{(-9)^2+(-2)^2}](https://tex.z-dn.net/?f=r%3D%5Csqrt%7B%28-9%29%5E2%2B%28-2%29%5E2%7D)
![r=\sqrt{81+4}](https://tex.z-dn.net/?f=r%3D%5Csqrt%7B81%2B4%7D)
![r=\sqrt{85}](https://tex.z-dn.net/?f=r%3D%5Csqrt%7B85%7D)
Now we will substitute coordinates of center and radius in equation of circle.
![(x-(-1))^2+(y-3)^2=\left(\sqrt{85}\right )^2](https://tex.z-dn.net/?f=%28x-%28-1%29%29%5E2%2B%28y-3%29%5E2%3D%5Cleft%28%5Csqrt%7B85%7D%5Cright%20%29%5E2)
![(x+1)^2+(y-3)^2=85](https://tex.z-dn.net/?f=%28x%2B1%29%5E2%2B%28y-3%29%5E2%3D85)
Therefore, the equation of circle would be
.