Answer:
The vectors form an obtuse angle.
Step-by-step explanation:
On a graph, -5, 1 is in the second quadrant and 8, 6 is in the first. The angle about the orgin is obtuse.
Finding the dot product between them results in a negative, which also means the angle is obtuse.
Answer:
No solution
Step-by-step explanation:
These are two, parallel lines. You can tell because they have the same slope.
the first line is
y = -.5x + 4
the second line, when rewritten is
x + 2y = -8
2y = -x - 8
y = -.5x - 4
Answer:
Step-by-step explanation:
GCF = 12
LCM = 180
One number is x
The second number is y
Both have a common factor of 12
One of them needs a 5
The lowest possible pair is
12
12 * 5
which doesn't work. There is no integer answer.
<h3>
Answer: Triangle with the three corner points at </h3>
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Explanation:
Let's label the corner points of the triangle A,B,C starting at the origin and moving clockwise
A = (0,0)
B = (2,-4)
C = (-4,-4)
Dilating with a scale factor 2 means we multiply each coordinate of each point by the value 2
A = (0,0) becomes A' = (0,0). No change happens. This point is fixed
B = (2,-4) becomes B' = (4,-8). This point does move
C = (-4,-4) becomes C' = (-8,-8). This moves as well
So all you need to do from here is draw triangle A'B'C'.
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Side note: the lengths of triangle A'B'C' are twice as long as their counterparts on triangle ABC. Consequently, this means the perimeter of A'B'C' is twice as long as the perimeter of ABC. Also, triangle A'B'C's area is four times larger than the area of triangle ABC.