Slope = -1/2
y-intercept = 6
<3
Answer:
20
step by step explanation:
<h3>3
Answers: Choice C, Choice D, Choice F</h3>
What these expressions have in common is that their exponents multiply to 16
- (-4)*(-4) = 16 for choice C
- (-2)*(-8) = 16 for choice D
- 8*2 = 16 for choice F
The rule used here is (a^b)^c = a^(b*c). We multiply the exponents and keep the base the same.
19.5 meters you multiply 3 seconds by 6.5, there are 6.5 meters per second, thus implying each second is 6.5 meters. Equaling 19.5
Would use the algorithm for solving square root.
For square root, √n
x₁ = 0.5(x₀ + n/x₀)
(This formula is known and for square root, and can be derived using Newton-Raphson's approximation equation)
Where x₀ is the initial guess. x₁ becomes the new guess.
For √100.6 let our initial guess be 10, x₀ = 10, n = 100.6
Our approximation shall be to 3 decimal places. Once we get the same answer twice we stop the algorithm.
x₀ = 10, x₁ = 0.5(x₀ + n/x₀), x₁ = 0.5(10 + 100.6/10) = 10.030, x₁ = 10.030
x₂ = 0.5(x₁ + n/x₁), x = 0.5(10.030 + 100.6/10.030) ≈10.015, x₂ ≈ 10.030 (to 3 decimal places)
Since x₂≈ x₁, the algorithm stops.
So the √100.6 is ≈ 10.030 to 3 decimal places.
I hope this helps.
