The expression which is equivalent to the following complex fraction is:
We are given a expression in terms of two variables x and y as follows:
Now, on taking least common multiple in the numerator as well as in the denominator we have:
which on further simplifying is:
Answer:
Step-by-step explanation:
To find the equation of the a line that passes through the two given points, we must first find the slope between the two points. We can do this by using the slope formula. The slope formula is:
where m is the slope and (x₁, y₁) and (x₂, y₂) are two points.
By plugging in (-2, -4) and (0, 5) for (x₁, y₁) and (x₂, y₂) respectively, we get:
So the slope is 9/2. Now we that we have found the slope, we can write an equation. Normally, when we are given two points, we would pick one of the points and plug it into the point-slope form and then solve for slope-intercept form. Here, notice that one of the points give, (0, 5), is the y-intercept. Knowing this, we can plug in 5 for the y-intercept into the slope-intercept form to get our equation. Remember, slope-intercept form is:
y = mx + b
where m is the slope and b is the y-intercept.
Pugging in 9/2 for m and 5 for b we get:
which would be our equation.
I hope this helps. Happy studying.
Answer:
Step-by-step explanation:
Let's arrange the numbers from least to greatest:
20, 25, 27, 28, 31, 32, 32, 38, 40, 40, 42, 48
The median is the "middle" number when arranged from least to greatest.
There are 12 numbers, so the middle number would be "average" of 6th and 7th terms.
6th term = 32
7th term = 32
Average = (32+32)/2 = 32
Hence, median = 32
Absolute deviation of 5 minutes means 5 minutes less or greater than the median, 32.
So, 32 - 5 = 27 & 32 + 5 = 37
Hence
Answer:
s = 10
Step-by-step explanation:
Given s is inversely proportional to t , then the equation relating them is
s = ← k is the constant of proportion
To find k use the condition when s = 0.6, t = 5
0.6 = ( multiply both sides by 5 )
3 = k
s = ← equation of proportion
When t = 0.3, then
s = = 10