The slopes of perpendicular lines are opposite reciprocals
The true statement is that segments FG and HJ are perpendicular
<h3>How to determine the relationship between the segments</h3>
The coordinates of the points are given as:
F = (3,1)
G = (5,2)
H = (2,4)
J = (1,6)
Start by calculating the slopes of FG and HJ using the following slope formula

So, we have:


Also, we have:



To determine the relationship, we make use of the following highlights
- Parallel lines have the same slope
- The slopes of perpendicular lines are opposite reciprocals
From the computation above, we have:
- The slopes of both lines are not equal
- The slopes are opposite reciprocals i.e. 2 = -1(-1/2)
Hence, segment FG and HJ are perpendicular
Read more about perpendicular lines at:
brainly.com/question/2531713
Answer:
Only (-2, 9) is the solution of the equation.
Hence, option 'b' is correct.
Step-by-step explanation:
Given the equation
y = -2x+ 5
<u>Checking the ordered pair (2, -9)</u>
substituting x = 2 and y = -9 in the equation
y = -2x + 5
-9 = -2(2) + 5
-9 = -4 + 5
-9 = 1
FALSE!
L.H.S ≠ R.H.S
Thus, the ordered pair (2, -9) is NOT a solution of the equation.
<u>Checking the ordered pair (-2, 9)</u>
substituting x = -2 and y = 9 in the equation
y = -2x + 5
9 = -2(-2) + 5
9 = 4 + 5
9 = 9
TRUE!
L.H.S = R.H.S
Thus, the ordered pair (-2, 9) is a solution of the equation.
Conclusion:
Only (-2, 9) is the solution of the equation.
Hence, option 'b' is correct.
I think u have to Multiply the 100 and 0.30 and that would be 30
Here to solve the equation we need to plug in the value y as given. -5x+2(7x)=9. -5x+14x=9. 9x=9. X=1.