Answer:
Which of the following sets of possible side lengths forms a right triangle?
<h3><em><u>11, 60, and 61</u></em><em><u>✓</u></em></h3>
6, 12, and 13
9, 40, and 45
12, 35, and 38
Step-by-step explanation:
<h3>11, 60 and 61 is the right answer.</h3>
A priori means as things were in the beginning or at the start.
a posteriori means as things are after any event.
Sure! Let's do this in order.
First, we can simplify the left side with the distributive property, getting us
8c-14
Next, we can simplify the right side with the distributive property, getting us
8c-8-6.
That gives us 8c-14<8c-8-6.
We can subtract 8c from both sides, getting us
-14<-8-6
Simplify the right side to get
-14<-14
This inequality has no solution. This is because the variable is gone, and the remaining equation isn't true.
What do you notice about each solution? :
Picture 1 - They never intersect/touch.
Picture 2 - They are intersecting.
Picture 3 - They are on top of each other.
What do you notice about the graphs for each set of equations? :
Picture 1 - The lines are parallel.
Picture 2 - They are intersecting.
Picture 3 - They are on top of each other. (otherwise known as coincident lines).
What do you notice about each set of equations? :
Picture 1 - They have the same slope but different y-intercepts.
Picture 2 - Both the slopes and y-intercepts are different for each equation.
Picture 3 - They have the same slope and same y-intercept.
What generalization can you make? :
Picture 1 - When equations have the same slope but different y-intercepts they will be parallel when graphed.
Picture 2 - When the equations have different slopes and different y-intercepts they will be intersecting.
Picture 3 - When the equations are the same they will be coincident lines when graphed.
Answer:
x=2
Step-by-step explanation:
Since they are both equal to y set them equal to each other: 2x-3=-8x+17
Subtract 17 from both sides: 2x-20=-8x
Subtract 2x from both sides: -20=-10x
Divide both sides by -10: 2=x
