4 years ago

Write an expression that has three terms, two different variables, and one constant.

Mathematics

1 answer:

kenny6666 [7]4 years ago

4 0

4x + 6y = 30 can be an equation.

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Two boats are travelling at 30 miles/hr, the first going north and the second going east. The second crosses the path of the fir

vampirchik [111]

Answer:

their distance is increasing at the rate of 41.6 miles/hr

Step-by-step explanation:

Given the data in the question;

first we determine the distance travelled by the first boat in 10 min when the second boat was crossing its path;

⇒ ( 30/60 ) × 10 = 5 miles

so as illustrated in the diagram below;

y² = x² + ( x + 5 )²

2y $\frac{dy}{dt}$ = 2x $\frac{dx}{dt}$ + 2(x+5) $\frac{dx}{dt}$

y $\frac{dy}{dt}$ = ( 2x + 5 ) ] $\frac{dx}{dt}$

$\frac{dy}{dt}$ = [( 2x + 5 )/y ] $\frac{dx}{dt}$ ------ let this be equation 1

Now, given that, $\frac{dx}{dt}$ = 30 miles/hr, when x = 10

y = √( 10² + 15² ) = √325

so from equation 1

$\frac{dy}{dt}$ = [( 2x + 5 )/y ] $\frac{dx}{dt}$

we substitute

$\frac{dy}{dt}$ = [( 2(10) + 5 ) / √325 ]30

$\frac{dy}{dt}$ = [ 25 / √325 ] × 30

$\frac{dy}{dt}$ = 41.6 miles/hr

Therefore, their distance is increasing at the rate of 41.6 miles/hr

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3 years ago

How do I do this question?

mariarad [96]

Answer:

x = (y +2)/3

Step-by-step explanation:

y= 3x-2

y+2=3x

x=(y +2)/3

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3 years ago

Robert was using a bucket that holds 243.5 ounces (oz) of water when full. The bucket loses 0.3 oz of water per second. After 20

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Answer:

Step-by-step explanation:

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5. For each conjecture, test the conjecture with several more examples or find a counter example to disprove it.

Archy [21]

Answer:

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Step-by-step explanation:

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3 years ago