Answer:
Step-by-step explanation:
A) 3x²c² + 5xc² - 2c²
Factor c² from all terms in the expression.
c²(3x² + 5x - 2)
Factor 3x² + 5x - 2
c²(3x-1)(x+2)
B) x² + 6x + 9
x² + 3x + 3x + 9
Factor common terms.
x(x+3)+3(x+3)
Take x+3 common.
(x+3)(x+3)
C) x² - 9
x² -3²
Apply formula : a² - b² = (a+b)(a-b)
(x+3)(x-3)
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
From the computation above, we have:
Hence, segment FG and HJ are perpendicular
Read more about perpendicular lines at: