<span>square roots of a negative number will be imaginary number "i"</span>
5y= -6x+2
5y/5 =-6x/5 +2/5
y = -1.2x +0.4
the slope is -1.2 and y intercept is 0.4
Answer:
d
=
−
5
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
![56.55\ ft^2](https://tex.z-dn.net/?f=56.55%5C%20ft%5E2)
Step-by-step explanation:
We know that the diameter of the fountain is 3 feet and that it is in the center of the pond.
We know that the area of a circumference is:
![\pi(r)^2](https://tex.z-dn.net/?f=%5Cpi%28r%29%5E2)
where r is the radius of the circumference.
further
d = 2r
Where d is the diameter of the circumference.
Then the radius
of the source is 1.5 ft.
The radius
of the pond is 1.5 + 3 = 4.5 ft
Finally the area of the pond is equal to the area of the ring that is shown in the image
![A = \pi(r_2)^2 - \pi (r_1)^2\\\\A = \pi(4.5)^2 - \pi(1.5)^2\\\\A = \pi(4.5^2 - 1.5^2)\\\\A = 18\pi = 56.55\ ft^2](https://tex.z-dn.net/?f=A%20%3D%20%5Cpi%28r_2%29%5E2%20-%20%5Cpi%20%28r_1%29%5E2%5C%5C%5C%5CA%20%3D%20%5Cpi%284.5%29%5E2%20-%20%5Cpi%281.5%29%5E2%5C%5C%5C%5CA%20%3D%20%5Cpi%284.5%5E2%20-%201.5%5E2%29%5C%5C%5C%5CA%20%3D%2018%5Cpi%20%3D%2056.55%5C%20ft%5E2)