Simplify the equation.
First, distribute the 2 in the left side of the equation.
Resulting in: 2x-6 = (x-1) + 7
Second, remove the parentheses form the right side of the equation (there is nothing to distribute there).
Resulting in: x - 1 + 7
Now simplify the right side of the equation by subtracting the 1 from the 7.
Resulting in: x + 6
Our goal is to isolate the x to the left side, and the numerals to the right side.
With that in mind, add the 6 (from the right side) to both sides. This cancels out the 6 on the right side.
Resulting in: 2x = 12
Lastly, in order to fully isolate the variable (x), we divide both sides by 2.
Resulting in: x = 6
Hope this helps.
Answer:
At least two of the opposite sides must be parallel.
Step-by-step explanation:
In the picture below, the segment AB must be parallel to the segment DC so that the figure can be called a trapezoid.
Answer:
Step-by-step explanation:
since you are given two points use the point- slope formula and the slope formula
y-y1 = m( x -x1) and m = y2 -y1 / x2 - x1
find the slope m, 1st
p1 = (x1,y1) given (-8,-2)
p2 = (x2,y2) given (-4,-6)
m = -6-(-2) / -4-(-8)
m = -6+2 / -4+8
m = -4 / 4
m = -1 :)
now use the slope you just found and the point-slope with either given point.. pick one.. which ever seems easier... they seem about the same to me
y - (-8) = -1(x-(-2))
y+8 = -1(x+2)
y+8 = -x-2
y = -x-2-8
y= -x-10
and your done :)
Answer:
40 oz of sugar
Step-by-step explanation:
1) you have the basic measurement for 36 fluid ounces of lemonade, now imagine how many time can 36 go into 180 in order to find how many sugar oz you will need
180/36= 3
This mean 180 is 5 times as much lemonade and you will need 5 times as much sugar.
8ounces of sugar x 5 = 40ounces of sugar to make 180fluid ounces of lemonade
When you write terms in denominator on numerator, sign of indices changes.