Answer:
x=1 and x=-1/3
Step-by-step explanation:
By the zero product property, we have two separate equations, x-1=0 and 3x+1=0
x-1=0
x=1
3x+1=0
3x=-1
x=-1/3
So x=1 and x=-1/3
Hope this helped!
Answer:
45
Step-by-step explanation:
The two angles with measures are a linear pair and supplementary, so their measures add to 180 deg.
3x + x = 180
4x = 180
x = 45
The Greatest Common Factor (GCF) of 25, 5, 11 and 23, 52, 7 is 1, same with 22,3 and 23, 5 and 13, 193, 232.
1) It's best to draw out a picture of a rectangle and label each corner with the coordinates given: Let's say (-5, 2) is point A, (-5, -2 1/3) is point B, (2 1/2, 2) is point C, and (2 1/2, -2 1/3) is point D.
2) That being said, line AB is one side of the rectangle, BC is another, CD is another, and lastly, AD is the fourth side.
3) We can use the distance formula and plug in the coordinates of each line to find how long every side is. Then you just need to solve it.
For example: if I want to find how long side AB is, I would use the point A (-5, 2) and B (2 1/2, 2) and plug them into the distance formula, where (-5, 2) is (x1, x2) and (2 1/2, 2) is (x2, y2) and solve that.
4) Repeat this process with side BC, CD, and AD, and add the results together. This will be your final answer; the perimeter of the rectangle.
