Answer:
Option A - Neither. Lines intersect but are not perpendicular. One Solution.
Option B - Lines are equivalent. Infinitely many solutions
Option C - Lines are perpendicular. Only one solution
Option D - Lines are parallel. No solution
Step-by-step explanation:
The slope equation is known as;
y = mx + c
Where m is slope and c is intercept.
Now, two lines are parallel if their slopes are equal.
Looking at the options;
Option D with y = 12x + 6 and y = 12x - 7 have the same slope of 12.
Thus,the lines are parrallel, no solution.
Two lines are perpendicular if the product of their slopes is -1. Option C is the one that falls into this category because -2/5 × 5/2 = - 1. Thus, lines here are perpendicular and have one solution.
Two lines are said to intersect but not perpendicular if they have different slopes but their products are not -1.
Option A falls into this category because - 9 ≠ 3/2 and their product is not -1.
Two lines are said to be equivalent with infinitely many solutions when their slopes and y-intercept are equal.
Option B falls into this category.
Answer:
Diagram for success. ...
Know your properties and theorems. ...
Understand Euclid's postulates. ...
Learn the language of math. ...
Know your angles. ...
Know your triangles. ...
Figure out what you want and what you're given. ...
Now fill in the rest.
Step-by-step explanation:
Segment AB is opposite segment CD in the figure, thus they are parallel from each other. Segment AB, as indicated by its name, contains point B.
<u>So, the correct answer is segment AB.</u>
Answer:
4m+4
4(m+1)
Step-by-step explanation:
2m+m+m +2+2
Combine like terms
4m+4
Factor out 4
4(m+1)
Answer:
d) n = -5 and n = -3
Step-by-step explanation:
n²+8n+15=0
Step 1: Factor left side of equation.
(n+3)(n+5)=0
Step 2: Set factors equal to 0.
n+3=0 or n+5=0
n=−3 or n=−5
