A) The length of the longer leg is x-1
b) Based on the area, the other leg is 2*30/(x -1). Based on the Pythagorean theorem, the other leg is √(x^2 -(x -1)^2).
c) Equating the two expressions for the shorter leg, we have
.. 60/(x -1) = √(2x -1)
.. 3600/(x -1)^2 = (2x -1)
.. (2x -1)(x^2 -2x +1) = 3600
.. 2x^3 -5x^2 +4x -3601 = 0
d) There is one positive real root, at x=13. A graphical solution works well.
The three sides of the triangle are 5 in, 12 in, 13 in.
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5-12-13 is a well-known Pythagorean triple. It is the next smallest one after 3-4-5.
Answer:
y = x/3 + 7
Step-by-step explanation:
Use the equation: y - y1 = m(x - x1)
Plug in the given values into the equation:
y - 5 = (1/3)(x + 6)
Simplify the right side:
y - 5 = (x/3) + 2
Finally, add 5 to both sides:
y = x/3 + 7
If the area of one is 20, that the area of 30 is 20*30=600 square inches.
Answer:
1=point
2=line
3=line
4=line segment
5=ray
6=plane
7=plane
Step-by-step explanation: