Simplify the following rational expression and express in expanded form.
1 answer:
Answer:
D m =
Step-by-step explanation:
factor the expressions in the denominator and the numerator to simplify the expression:
=>
=>
to make a fraction undefined, the numerator should be 0, thus, we substitute the values of m from the options into the denominator to make the denominator equals to 0:
=> =
=
in this case, the values of m from option D make the denominator of the fraction equals 0.
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Given:
Amount = Rs. 9,144
Time = 3 years.
Rate of simple interest = 9%
To find:
The principal value.
Solution:
The formula for simple interest is:
Where, P is principal, r is the simple rate of interest, and t is the number of years.
Putting in the above formula, we get
We know that,
Divide both sides by 1.27, we get
Therefore, the principal value is Rs. 7200.
Answer:
250 ft.
Step-by-step explanation:
It seems that you are learning the side-splitter theorem right now. If a line is parallel to one side of the triangle and intersects the other two sides, it divides the side proportionally. From the picture we can tell that the streets are parallel, with a line of intersection. Therefore, we can create the following equation of proportionality:
Now that we have this equation, we can use the <u>butterfly method</u> to solve for x. We <u>cross multiply</u>:
Now, all we have to do is <u>isolate</u> the variable to find x:
Therefore, the distance of Orange Ave between the 3rd St. and 4th St. is 250 ft.
<em>I hope this helps! Please let me know if you have any further questions :)</em>