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Leya [2.2K]
3 years ago
6

A boat traveled 280 miles downstream and back. The trip downstream took 7 hours. The trip back took 14 hours. Find the speed of

the voat in still water and the speed of the current?
Mathematics
1 answer:
katrin2010 [14]3 years ago
5 0
Downstream 280mi/7 hours
(Speed =change in position/change in time)
40mi/hr
Back
280/14
20mi/hr
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The equation 2x^2+12x=4 is written in the form of 2(x-p)^2+q=0. what is the value of q?
hram777 [196]

1) Factor out the coefficient 2:  2x^2+12x=4 => 2(x^2 + 6x) = 4

2) Complete the square of x^2 + 6x:  x^2 + 6x + 9 - 9.  Then:

                                                    2(x^2 + 6x + 9 - 9) = 4

3) Rewrite the square as the square of a binomial:

                                                    2( [x+3]^2 - 9) = 4, or

                                                     2([x+3]^2)       = 22, or

                                                     2( [x+3]^2 ) - 22 = 0

The value of q is -22.

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5 0
3 years ago
Read 2 more answers
An oblique square prism is shown. Which expression represents the volume of the prism?
Furkat [3]

Answer:

C. x^2*(x-2)\text{ Cubic units}

Step-by-step explanation:

We have been given a diagram of an oblique prism and we are asked to choose the expression that represents the volume of the prism.

Since we know that an oblique prism is a prism in which the bases are parallel, but the faces are not directly one over the other.

The volume of an oblique prism is base area multiplied by the height.

\text{Volume of an oblique prism}=\text{Base area* Height of the prism}

We can see from our diagram that our prism has an square base as each side of base equals x units.

\text{Base area of prism}=x\text{ units}*x\text{ units}

\text{Base area of prism}=x^2\text{ units}^2

We can also see from our given diagram that it has a height of (x-2) units and slant height of (x+1) units.  

Since volume of oblique prism is base area times by the height (not slant height). So upon substituting the height and base area of our given prism in volume formula we will get,

\text{Volume of an oblique prism}=x^2\text{ units}^2*(x-2)\text{ units}

\text{Volume of an oblique prism}=x^2*(x-2)\text{ units}^3

Therefore, the volume of our given prism is x^2*(x-2)\text{ Cubic units} and option C is the correct choice.

3 0
3 years ago
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Determine if the ordered pair (6,-6) is a solution of the system of equations.
Step2247 [10]
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                                          4      4
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The orderd pair (6, -6) is a solution of the system of equations.
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3 years ago
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