Graph f(x) = x and g(x) = -1/3x+2 on the same coordinate plane.
1 answer:
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Answer:
(5.5, -3.5)
Step-by-step explanation:
As you can see in the figure, the fourth vertex is (5.5, -3.5)
If you observe carefully the vertex given, you will see that there are two vertex with same coordinates in x axis:
- (-1.2, -3.5),
- (-1.2, 4.4),
And one vertex has other coordinate in x axis, it is: (5.5, 4.4)
To form a rectangle, you need a fourth vertex that will have same coordinate in x than (5.5, 4.4) and same coordinate in y axis as (-1.2, -3.5),
Then the fourth vertex coordinate is (5.5, -3.5)
Answer: 130.8 degrees
Explanation:
The problem can be solved by using the cosine theorem:
(1)
where
a,b,c are the lengths of the three sides of the triangle
is the angle between b and c
In this problem, we can identify a,b,c, with:
a = XZ = 11.05
b = XY = 6.32
c = YZ = 5.83
So, the angle corresponds to the angle m∠Y. Re-arranging eq.(1), we find
So, the angle is