Multiply. (2.5 times 10^-8) (9 times 10^-10)
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Hi!
We can use <u>point-slope form </u>to solve this.
<em> and </em>
<em> will be from one of the points.</em>
<u>First, we have to find </u><u>, the slope. We can use the slope equation to get this.</u>
<em>Plug in your points:</em>
Your slope is
<u><em>Now plug points and slope into point-slope equation. We will use (8, 4).</em></u>
Now, if you want to get it into y = mx + b form, you have to solve for y:
Your equation is
<u><em>For more information on how to get the equation of a line when given two points, see here:</em></u>
We are given the two functions 
and 
. Since the question is asking us for the value of x when f(x) is equal to g(x), all we need to do is equate the respective expressions together. This is what the result should be:
Now, just solve for x. If you want to save some time, you can use logic and then algebra. To do this, look at the square root. We cannot have an imaginary number, so we can rule out the first two options. Now, we are left with x = 2 and x = 4. When we plug in each x-value to the equation, only 4 works out with a result of 0.5 = 0.5. Therefore, the solution to f(x) = g(x) is D) x = 4. Hope this helps and have a great day!
Now, just solve for x. If you want to save some time, you can use logic and then algebra. To do this, look at the square root. We cannot have an imaginary number, so we can rule out the first two options. Now, we are left with x = 2 and x = 4. When we plug in each x-value to the equation, only 4 works out with a result of 0.5 = 0.5. Therefore, the solution to f(x) = g(x) is D) x = 4. Hope this helps and have a great day!