(10x-20)=(6x+8)
We simplify the equation to the form, which is simple to understand
(10x-20)=(6x+8)
Remove unnecessary parentheses
10x-20=(6x+8)
Remove unnecessary parentheses
10x-20=6x+8
We move all terms containing x to the left and all other terms to the right.
+10x-6x=+8+20
We simplify left and right side of the equation.
+4x=+28
We divide both sides of the equation by 4 to get x.
x=7
Answer:
(-5,8)
Step-by-step explanation:
The left number represents the x-axis, the right one the y-axis. A translation to the right means in the positive direction on the x-axis, which is why we add 3 to -8 which gives us -5. Down on the y-axis is in the negative direction, which means we have to subtract 1 from 9, giving us 8.
Answer:
I, II and III
Step-by-step explanation:
Two sides of a triangle have length 6 and 8.
the maximum possible area occurs in the right angle .
To find maximum area we use the area of the triangle formula
So maximum possible area is 24 units^2
all the given possible values are less than and equal to 24
so all the three options are correct
I, II and III
Answer: 48.97
Step-by-step explanation:
Answer:
"number line with open circles on negative 9 and 5, shading going in the opposite directions."
Step-by-step explanation:
Your inequality doesn't include an equal sign so there will be no closed holes. It will only be open holes.
|u|>14 means that the number u has to be greater than 14 or less than -14. These numbers I describe just now all have a distance greater than 14 from 0.
So |u|>14 implies u>14 or u<-14.
But we are solving |2x+4|>14 so this implies we have 2x+4>14 or 2x+4<-14.
2x+4>14
Subtract 4 on both sides:
2x >10
Divide both sides by 2:
x >5
2x+4<-14
Subtract 4 on both sides:
2x <-18
Divide both sides by 2:
x <-9
So our solution is x>5 or x<-9.
Graphing!
~~~~~~~O O~~~~~~~~
-----------(-9)---------------------------------(5)---------------
So we shaded to the right of 5 because our inequality says x is bigger than 5.
We shaded to the left of -9 because our inequality says x is less than -9.
