Taking the cubic root of a number is the same as raising that number to the power of 1/3.
Moreover, we have

So, we have
![\sqrt[3]{64} = \sqrt[3]{2^6} = (2^6)^{\frac{1}{3}} = 2^{6\cdot\frac{1}{3}} = 2^2 = 4](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B64%7D%20%3D%20%5Csqrt%5B3%5D%7B2%5E6%7D%20%3D%20%282%5E6%29%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D%20%3D%202%5E%7B6%5Ccdot%5Cfrac%7B1%7D%7B3%7D%7D%20%3D%202%5E2%20%3D%204%20)
To solve:
1) Divide both sides by 100
100x/100 = 265/100
x = 2.65
Answer:
(x - 1)² + (y - 4)² = 25
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
here (h, k) = (1, 4), so
(x - 1)² + (y - 4)² = r²
The radius is the distance from the centre to a point on the circle
Calculate r using the distance formula
r = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (1, 4) and (x₂, y₂ ) = (4, 8)
r = 
=
=
=
= 5
Hence
(x - 1)² + (y - 4)² = 5², that is
(x - 1)² + (y - 4)² = 25 ← equation of circle
Y=Mx+b
Slope/M= -1
X= 3
Y= -1
-1 = -1(3)+b
-1 = -3 + b
Add +3 to -3 and -1 to cancel -3 out to get (b)
-3+3 = 0 cancel it
-1 +3 = 2
So, b = 2
In an equation it will be written as
y= -1x + 2
In standard form it will be
1x + y = 2
But your official answer will be
B= 2
Y= -1x+2