Lowest Common Denominator refers to lowes t common multiple. These expressions have two terms 'x' and 'y' and we want to choose the expression that has the highest power such that the other expressions can be multiplied into the common denominator.
For the 'x' term, the highest power is x⁴ and for the 'y' term, the highest power is y⁵
Common denominator of A, B, C, and D: x⁴y⁵
A (-5, 6)
B (-5, 2)
C (-9, 2)
D (-9, 6)
As it is just a rotation around the origin by 180, you can just change the sign in front of the numbers :)
Answer:
28 and 30
Step-by-step explanation:
'x' = 1st consecutive #
'x+2' = 2nd consecutive #
x + x+2 = 58
2x + 2 = 58
2x = 56
x = 28
x+2 = 30
Answer:
W ≈ 5.2 cm
Step-by-step explanation:
Represent the length and width by L and W respectively.
Then L * W = 81 cm^2, and L = 3W.
Substituting 3W for L in the first equation, we get:
3W * W - 81 = 0, or 3W^2 - 81 = 0.
To make it easier to find the final answer, rewrite 3W^2 - 81 = 0 as
81
W^2 = ------- = 27
3
Then W (the width) is the positive square root of 27, or W ≈ 5.2 cm
Answer:
<h2><em><u>
t = 15.2 is the answer</u></em></h2>
Step-by-step explanation:
<h2><em><u>
1. Make an equation</u></em></h2>
numbers to find perimeter = perimeter
Side + Side + 2 unknown sides = perimeter
12 + 7.8 + 2t = 50.2
<h2><em><u>
2. Simplify like terms</u></em></h2>
19.8 + 2t = 50.2
<h2><em><u>
3. Solve</u></em></h2>
19.8 + 2t = 50.2
-19.8 - 19.8
2t = 30.4
<h2><em><u>
t = 15.2</u></em></h2>
<h2><u><em>
4. Check:</em></u></h2>
12 + 7.8 + t + t = 50.2
12 + 7.8 + (15.2) + (15.2) = 50.2
<h2><em><u>
50.2 = 50.2</u></em> Correct!</h2><h2 />
Hope this helped,
Kavitha
