<span>√((18-13)^2+(20-8)^2)= 13
<span>
</span></span>
y = 1/2 x to the second power - 11x + 27
198 pencils is received by each class
<em><u>Solution:</u></em>
Given that, Mr. Matthew purchases 22 boxes of pencils for five fourth grade classes
Each box contains 45 pencils
To find: Number of pencils received by each class
Number of boxes = 22
Number of pencils in each box = 45
<em><u>The total number of pencils is given as:</u></em>
Total number of pencils = Number of boxes x Number of pencils in each box
Total number of pencils = 22 x 45 = 990
So, 990 pencils is divided among 5 classes
Number of fourth grade classes = 5
<em><u>So, the number of pencils each class will receive is,</u></em>
Thus 198 pencils is received by each class
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
88 + 88 + 48 + 48 + 66 + 66
404 sq ft
Can I get brainliest pls