If y=198 when x=22, find y when x=182.
1 answer:
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Answer:
(x, y) = (2, 2)
Step-by-step explanation:
The graph is attached.
Both equations are in slope-intercept form:
y = mx +b . . . . . . line with slope m and y-intercept b
The graph of the first equation intersects the y-axis at +3, and has a slope (rise/run) of -1/2. That is, it decreases 1 unit for each 2 units to the right.
The graph of the second equation intersects the y-axis at -4, and has a slope of +3. It will increase 3 units for each unit to the right.
The point of intersection of the graphed lines is (2, 2).
The solution is (x, y) = (2, 2).
Answer:
1. B (obtuse)
2. Obtuse
3. 20.92
Step-by-step explanation:
1.
We need to use the converse of the pythagorean theorem to solve this problem. Given that c is the longest side of a triangle, and a and b are the other two sides. The triangle is right triangle if
The triangle is acute triangle if
The triangle is obtuse triangle if
the longest side of this triangle is 47, so we check:
, and
Hence, c^2 is GREATER than a^2 + b^2, so the triangle is obtuse.
2. Using the points we showed above, we can again summarize:
- If
-- Right Triangle
- if
-- Acute Triangle
- if
-- Obtuse Triangle
This triangle's c (longest side) is 5. Let's check:
5^2 = 25, and
Hence, c^2 is GREATER than a^2 +b^2, so the triangle is obtuse.
3.
The side opposite of the 90 degree angle is the <em>"hypotenuse"</em>, that is x. The side opposite the 35 degree angle is <em>"opposite"</em> side.
The trigonometric ratio that related "opposite" side to "hypotenuse" side is SINE. So we can write:
Now, cross multiplying and solving: