Answer:
(n-2)(n+2)
Step-by-step explanation:
The denominator of the second fraction is the difference of squares, so can be factored using the formula for that.
(n^2 -4) = (n -2)(n +2)
Now, you will note that the second fraction has a numerator that is equal to one of the factors in the denominator. In other words, the whole fraction can be simplified to ...
(n +2)/((n +2)(n -2)) = 1/(n -2) . . . . with the restriction n≠-2
This reduced form of the fraction has the same denominator as the first fraction, so you can say that the lowest common denominator is that: (n -2).
If there is some reason you don't want to reduce the second fraction, the lowest common denominator will be (n -2)(n +2).
Answer:
The expression for area of rectangle in standard form is: 
Step-by-step explanation:
The area of rectangle is given by:
Here, in the question, we are given length and width of the rectangle
Length = 2x-3
Width = 5x+9
The area of the rectangle will be:
Hence,
The expression for area of rectangle in standard form is:
Answer:
Step-by-step explanation:
Since the line we are trying to study is parallel to the one given by the standard equation 5x + 3y = 6, it needs to have the same slope as this given line has. Let's write then this equation in slope-intercept so we can find what the slope is :
Then the slope of our line must also be "-5/3" in order to be parallel to the given line.
Now, since we also know a point (3, -1) through which the new line should go, we use the point-slope form of a line:
Triangle QST is similar to triangle PQR
We are given that measure of angle SRP is 90°
Q is the point of the hypotenuse SP
Segment QR is perpendicular to PS and T is a point outside the triangle on the left of s
We need to find which triangle is similar to triangle PQR
So,
Using Angle - Angle - Angle Criterion We can say that
m∠PQR = m∠SQR (AAA similarity)
m∠SQR=m∠SQT (AAA similarity)
Where m∠Q =90° in ΔQST and PQR
Therefore ΔQST is similar to ΔPQR
Learn more about similarity of triangles here
brainly.com/question/24184322
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Answer:
289.50
Step-by-step explanation:
