For two linear equations to have exactly one solution, their gradient/slope must be different. That's the only requirement. For example y=x intersects with -1/3x - 8 at (-6, -6). So one that has only one solution could be y=x+5.
For two linear equations to have no solutions they must have the same gradient/slope but not be the same equation. Hence, y = -1/3x + 8 would never intersect with y = -1/3x - 8.
For two linear equations to have infinite solutions, they must be the same line or simplify to give the same line. I.e. 3y = -x - 8 would have infinitely many solutions with the above graph.
Answer:
C (-6,-8) → C' (6,8)
D (-2,-8) → D' (2,8)
E (-2,-4) → E' (2,4)
F (-6,-4) → F' (6,4)
Step-by-step explanation:
When you rotate a point 180° counterclockwise about the origin, the point A (x,y) becomes A' (-x,-y). So, if the points are positive, they will become negative.
Because all the points are negative, rotating them 180° counterclockwise will make them positive.
Hope that helps.
Answer:
681ft^2
Step-by-step explanation:
Start by finding the area of the whole thing with the missing triangle:
33 x 22 = 726
Then find the area of the triangle. You can do this by first finding out the side lengths of the triangle:
33 - 24 = 9 and 22 - 12 = 10
Then multiply both sides and divide by two because it is a triangle:
10 x 9 = 90 90/2 = 45
Then subtract the area of the triangle from the rectangle:
726 - 45 = 681
Answer:
all real numbers less than or equals to 4
Answer:
D
Step-by-step explanation:
abcdefghijklmnopqrstuvwxyz