If ab= 7x-6 and bc= 12-2x. Then what does ac equal?

1 answer:

4 0

Ab = (7x-6) → b = (7x-6)/a (1)

bc = (12-2x) → b = (12-2x)/c (2)

Since (1) = (2) → (7x-6)/a = (12-2x)/c OR a/c = (7x-6)/(12-2x) (3)

Multiply both numerators of (3) by the SQUARE of their respective denominators;

(a*c²)/c = (7x-6)(12-2x)²/(12-2x)
Now simplify:

ac = (7x-6)(12x-2x) or ac = -14x² + 96x - 72

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100e^0.125t=200<br><br>A. t= ln(16)<br>B. t= ln(256)<br>C. t= 8ln(100)<br>D. t= 0.08ln(200)

Drupady [299]

The correct answer is C. t= 8ln(100)

Hope this helped! :)

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5 0

3 years ago

A clock has a diameter of 16 inches. how far does the hour hand travel during 5 hours? use 3.14 for pi.

valentina_108 [34]

Distance hour hand travel in 5 hours is 20.94 inches.

<h3>What is a diameter?</h3>

A diameter of a circle is any straight line segment that passes through the center of the circle and has endpoints on the circle in geometry.
It is also known as the circle's longest chord.
Both definitions apply to the diameter of a sphere.

To find the distance hour hand travel in 5 hours:

Let's say the hour hand completed one full round around the clock.
If this was the case, it would have been 2 $\pi$ ×8 inches around.
We know that the hour hand only traveled 5 hours around the clock rather than 12, thus our formula is 2 $\pi$ ×8×( 5/12 ).