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Lana71 [14]
2 years ago
10

(2x^2+3x^3-16-8x) / (x-2)

Mathematics
1 answer:
il63 [147K]2 years ago
6 0

Answer:

=3x^2+8x+8

Step-by-step explanation:

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A mountain railway AB is of length 864m and rises at an angle of 120° to the horizontal.
Ainat [17]

Answer:

The height above sea level at <em>B</em> is approximately 1,604.25 m

Step-by-step explanation:

The given length of the mountain railway, AB = 864 m

The angle at which the railway rises to the horizontal, θ = 120°

The elevation of the train above sea level at <em>A</em>, h₁ = 856 m

The height above sea level of the train when it reaches <em>B</em>, h₂, is found as follows;

Change in height across the railway, Δh = AB × sin(θ)

∴ Δh = 864 m × sin(120°) ≈ 748.25 m

Δh = h₂ - h₁

h₂ = Δh + h₁

∴ h₂ ≈ 856 m + 748.25 m = 1,604.25 m

The height above sea level of the train when it reaches <em>B</em> ≈ 1,604.25 m

4 0
2 years ago
Rodney has 83 goldfish in his pond. In the winter, he wants to put the goldfish into one or more smaller fish tanks inside his h
Leviafan [203]

Answer:

0

Step-by-step explanation:

no number of tanks will hold the same amount of fish. 83 is a prime number, no numbers can be equally divided into it

8 0
2 years ago
Find an equation for a tangent plane z=e-x2-y2 at the point (0,0,1).
Nadya [2.5K]

Answer: equation of the tangent plane is z = 1

Step-by-step explanation:

Given equation

z = e^(-x²-y²) at point (0,0,1)

now let z = f(x,y)

Δf(x,y) = [ fx, fy ]

= (-2xe^(-x²-y²)), (-2ye^(-x²-y²))

now

Δf (0,0) = [ 0, 0 ] = [ a, b ]

equation of the tangent plane therefore will be

z - z₀ = a(x-x₀) + b(y-y₀)

z - 1 = 0(x-0) + 0(y-0)

z - 1 = 0 + 0

z = 1

Therefore equation of the tangent plane is z = 1

7 0
3 years ago
What is the distance, rounded to the nearest tenth, between the points (-5,3) and (1,-1)? Enter the answer in the box.
Vadim26 [7]

Answer:

lm 11 in 6th grade

Step-by-step explanation:

3 0
2 years ago
Start time: 3:30 PM<br> End time: 7:00 PM<br> Elapsed time:
JulijaS [17]

Answer:

3hr 30min

Step-by-step explanation:

3hr 30min

5 0
3 years ago
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