In geometry, a given real number x is the length of a line segment MN.
(x+3,y-4) would be the translation of the ordered pairs
The winner got $70,000 and the runner up got $14,000
Let the winner be represented by x and runner up by y
Data given;
- Amount to be shared = $84000
- x = 5y
This is a simple case of ratio i.e 1 : 5
<h3>Equation</h3>
The runner up received $14000. let's use this data to find how much the winner got.
From the calculations above, the winner got $70,000 and the runner up got $14,000.
Learn more about ratios here;
brainly.com/question/1781657
Answer:
(b^4+a^2/2)^2
Step-by-step explanation:
To find the Least Common Denominator (LCD) of rational expressions, we choose the higher power of exponent for similar factors and for the factors they don't share, we just multiply it to find the LCD. It's best to show this by answering the problems provided.
For the first one, we have
since both denominators 4 and x² do not share any common factor, we just multiply them to find the LCD. So, we have
A. 4x².
For the next item, we have
we first check the coefficients of the denominators 5 and 7. Since they don't share any common factor, the LCD must have a coefficient of 7(5) = 35. As for the expressions, b and b³c, since they share a common factor of b, we choose the one with the greater exponent. Finally, we have an LCD of 35(b)(c) =
35b³c.
Following the same rules, the LCD of 3m/ (m + n) and 3n/ (m - n) is
(m + n)(m -n ).
Adding rational expressions is similar to adding fractions. First, we get the LCD of the expression then express it so that both expressions have a common denominator.
So, we have
For the next item,
Lastly, we have