1) Use the distributive property to eliminate parentheses.
.. 3(6x) -3(5) -7(3x) -7(10) = 0
.. 18x -15 -21x -70 = 0 . . . . . . finish multiplying terms
.. -3x -85 = 0 . . . . . . . . . . . . . collect like terms
.. -85 = 3x . . . . . . . . . . . . . . . .add 3x
.. -85/3 = x . . . . . . . . . . . . . . .divide by 3
.. -28 1/3 = x . . . . . . . . . . . . . write as mixed number
2) 5 -(6 +9x) = 9 -(4x -1)
.. 5 -6 -9x = 9 -4x +1 . . . . . eliminate parentheses using the distributive property
.. -1 -9x = 10 -4x . . . . . . . . . collect like terms
.. -1 = 10 +5x . . . . . . . . . . . . add 9x
.. -11 = 5x . . . . . . . . . . . . . . . subtract 10
.. -11/5 = x . . . . . . . . . . . . . . divide by 5
.. -2 1/5 = x . . . . . . . . . . . . . write as mixed number
8y - 6 = 5y + 12
- 5y - 5y
3y - 6 = 12
+ 6 + 6
3y = 18
3 3
y = 6
Answer:
You can determine the type of triangle using the following facts related to the converse of the pythag theorem
if a^2 + b^2 > c^2, then it is an obtuse triangle
if a^2+b^2<c^2, then it is an acute triangle
finally, if a^2+b^2=c^2, then it is a right triangle
<u><em>NOTE THAT C ALWAYS EQUALS THE LONGEST LENGTH OF THE TRIANGLE!!!</em></u>
The answer to your question is 4 and 27/ 56
