Triangle ADE is similar to triangle ABC. Which statement is TRUE concerning the slope of the line formed by the hypotenuse of ea
ch triangle?
A) The slope for triangle P and Q equals
3/4
.
B) The slope for triangle P and Q equals 1.
C) The slope for triangle P and Q equals −3/4
.
D) The slope for triangle P and Q equals −1.
A) The slope for triangle P and Q equals
3/4
.
B) The slope for triangle P and Q equals 1.
C) The slope for triangle P and Q equals −3/4
.
D) The slope for triangle P and Q equals −1.
2 answers:
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Answer:
a) (11/7, 9/7)
b) There's no point of intersection
Step-by-step explanation:
a) x - 2y + 1 = 0
2x + 3y - 7 = 0
To find the point of intersection, we need to solve the system of equations and the result will be the point of intersection (x,y)
Now we substitute x in the second equation:
Now we substitute y in our first equation.
.
The point of intersection is (11/7, 9/7)
b) x -2y +11 =0
-x + 2y - 13 =0
We are going to follow the same procedure:
Since this system of equations doesn't have a solution, the system has no point of intersection.