What is slope and y-intercept of the equation on the graph?
1 answer:
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Answer:
Step-by-step explanation:
*Notes (clarified by the person who asked this question):
-The triangle on the right has a right angle (angle that appears to be a right angle is a right angle)
-The bottom side of the right triangle is marked with a question mark (?)
<u>Triangle 1 (triangle on left):</u>
Special triangles:
In all 45-45-90 triangles, the ratio of the sides is , where
is the hypotenuse of the triangle. Since one of the legs is marked as
, the hypotenuse must be
It's also possible to use a variety of trigonometry to solve this problem. Basic trig for right triangles is applicable and may be the simplest:
<u>Triangle 2 (triangle on right):</u>
We can use basic trig for right triangles to set up the following equations:
,
We can verify these answers using the Pythagorean theorem. The Pythagorean theorem states that in all right triangles, the following must be true:
, where
is the hypotenuse of the triangle and
and
are two legs of the triangle.
Verify
For this case we must find the solution of the following equation:
Rewriting the mixed number in the form of improper fraction we have:
Add to both sides of the equation:
We add the fractions with the same denominator:
So, the solution is
Answer: