Use the red dots as two points in the line.
Slope = change in y over the change in x.
point 1: (-5,4)
Point 2: (5,-2)
Slope = (-2 - 4) / ( 5 - -5)
Slope = -2/10
Slope = -1/5
Answer:
The corresponding pair of sides are in the same ratio.
Step-by-step explanation:
For two triangles to be similar, the theorem that is required is the corresponding sides of the two triangles are in the same ratio.
Now, see the diagram of two triangles given with the question.
The ratios of the corresponding sides are
If two pairs corresponding sides are in 5 : 4 ratio, then the third pair of corresponding sides will also be in 5 : 4 ratio.
Therefore, the two triangles are similar. (Answer)
Answer:
(9,0) and (-4,0)
Step-by-step explanation:
First, move everything to the left to make the whole equation equal to 0.
So we get x^2-5x-36=0
Then we can factor by finding the two numbers that multiply to -36 and add to -5.
Those two numbers are -9 and 4.
So we have (x-9)(x+4)=0.
So the two roots are 9 and -4.
To verify this on a graphing calculator, plug in the equation and look at the x intercepts.
If they match up with (9,0) and (-4,0) you have your answer.