Answer: 
Step-by-step explanation:
Given expression, 
= √(4×8)×√(4×7)×√3×√(3×√2)
= √4×√8×√4×√7×√3×√3×√2 ( because √(m×n)=√m×√n)
=√4×√4×√8×√2×√7×√3×√3
=4×√(4×2)×√2×√7×3
=4×√4×√2×√2×√7×3
=4×2×2×√7×3
=48√7
Thus,=
The general equation that represents the circle is x² + y² + 8x - 18y + 72 = 0
<h3>How to determine the circle equation?</h3>
The center of the circle is given as:
Center, (a,b) = (-4,9)
The diameter is given as:
d = 10
Calculate the radius (r)
r = 10/2 = 5
The circle equation is then calculated using:
(x - a)² + (y - b)² = r²
So, we have:
(x + 4)² + (y - 9)² = 5²
Expand
x² + 8x + 16 + y² - 18y + 81 = 25
Collect like terms
x² + y² + 8x - 18y + 16 + 81 - 25 = 0
Evaluate
x² + y² + 8x - 18y + 72 = 0
Hence, the general equation that represents the circle is x² + y² + 8x - 18y + 72 = 0
Read more about circle equations at:
brainly.com/question/1559324
Answer:
a = 2
b = 4
The equation is ⇒ 
Step-by-step explanation:
∵ It is an exponential Regression
∴ y = 
where a ≠ 0
∵ x = 0 ⇒ y = 2
∴ 2 = a
⇒ 2 = a(1) (where b^0 = 1)
∴ a = 2
∵ x = 1 ⇒ y = 8
∴ 8 = 2(b)^1 ⇒ 8 = 2b ⇒ b = 8 ÷ 2 = 4
∴ b = 4
∴ The equation is ⇒ 
2.36 g = 0.0236 hg
I hope this helped you.
Have a great day!
