30 pointss!HELP! Two students get into an argument about the correct answer.
1 answer:
Both Rhianna and Christopher were correct as they took different reference angles.
Step-by-step explanation:
Step 1:
The value of the tan of a reference angle is calculated using the above formula.
The hypotenuse is the longest side of the triangle is always opposite the right angle of the triangle.
In this triangle, the hypotenuse is the side measuring 5 units.
Step 2:
When the reference angle is A, the opposite side measures 3 units and the adjacent side measures 4 units.
So
When the reference angle is C, the opposite side measures 4 units and the adjacent side measures 3 units.
So
So both Rhianna and Christopher were right as they took different reference angles i.e. A and C.
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Answer:
see attached image
Step-by-step explanation:
F(x) = 2x + 5 is a linear graph because the exponent on x is 1. I tell my students that think of graphs having one less turn/corner that the value of the highest exponent. so since 2x has a exponent of 1, 1-1 =0 so it has no turns or its a straight line.
this has a slope of 2 or 2/1 or up 2 and right 1 from the y intercept which is 5
so mark 5 on the y axis and a from there go up 2 and right 1 and make another point. Join these points and you have your graph
and
g(x) = (x-5)/2 is its inverse and is found:
F(x) = 2x + 5 write it this way y = 2x + 5
now swap the x and y x = 2y - 5
solve for y
x = 2y + 5
- 5 -5
x - 5 = 2y
/2 /2
(x-5)/2 = y
it can be written as y = x/2 - 5/2
and graphed the same way as above with a 1/2 slope and -5/2 y intercept
