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Blababa [14]
2 years ago
13

A river flows at 2m/s. Juan’s boat can travel twice as fast down the river as it can go up the river. How fast can the boat go i

n still water?
Mathematics
1 answer:
solniwko [45]2 years ago
6 0

Answer: 2m/s

Step-by-step explanation:

The boat goes twice as fast down the river, which means it goes twice as slow up the river.

Because the river flows at 2m/s, I think the answer is 2m/s

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Solve this equations for all real solutions 3t^2+4t+8=-6t
ra1l [238]

Answer:

t= -1.33 recurring and -2

Step-by-step explanation:

3t²+4t+8=-6t

3t²+4t+6t+8

3t²+10t+8

This is a quadratic equation, it can be solved by using either factorisation, completing the square method or formulae method. For the purpose of this question, I would be using the formulae method.

-b±√(b²-4ac)/2a

Where a=3, b= 10 and c=8

-10±√(10²-4(3)(8))/2(3)

-10±√(100-96)/6

(-10±√4)/6

(-10±2)/6

-10+2/6 or -10-2/6

-8/6 or -12/6

-1.3333 recurring or -2

8 0
3 years ago
Consider the function below. f(x) = 6x tan x, −π/2 < x < π/2 (a) find the vertical asymptote(s). (enter your answers as a
Molodets [167]

Answer: Does not exist.

Step-by-step explanation:

Since, given function,  f(x) = 6x tan x, where −π/2 < x < π/2.

⇒ f(x) = \frac{6x sin x}{cosx}

And, for vertical asymptote,  cosx= 0

⇒ x = π/2 + nπ where n is any integer.

But, for any n x is does not exist in the interval ( -π/2, π/2)

Therefore, vertical asymptote of f(x) where −π/2 < x < π/2 does not exist.


5 0
3 years ago
Read 2 more answers
Find the area of the trapezoid.
vekshin1

Answer:

18

Step-by-step explanation:

7 - 5 = 2

triangle = bh/2

triangle = 2(3) / 2

triangle = 3

rect = bh

rect = 3 x 5

rect = 15

trapezoid = 15 + 3

trapezoid = 18

8 0
2 years ago
F(x) = -3(x+4)(x-6) x intercepts
DiKsa [7]

Answer:

x = - 4, x = 6

Step-by-step explanation:

To find the x- intercepts let y = 0 , that is

- 3(x + 4)(x - 6) = 0

Equate each factor to zero and solve for x

x + 4 = 0 ⇒ x = - 4

x - 6 = 0 ⇒ x = 6

7 0
2 years ago
What is the length of the diagonal (d) is the solid below
elena-14-01-66 [18.8K]
420!!!!!!!!!!!!!!!!!!
8 0
3 years ago
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