Answer:
isosceles
Step-by-step explanation:
two sides equal
Answer:
II quadrant.
Step-by-step explanation:
Consider given function:
![h(x)=-6+\dfrac{2}{3}x](https://tex.z-dn.net/?f=h%28x%29%3D-6%2B%5Cdfrac%7B2%7D%7B3%7Dx)
Here, we have to find the quadrant from which the graph of function is not passing.
For x=0,
![h(0)=-6+\dfrac{2}{3}(0)=-6](https://tex.z-dn.net/?f=h%280%29%3D-6%2B%5Cdfrac%7B2%7D%7B3%7D%280%29%3D-6)
Thus, y-intercept is (0,-6).
For h(x)=0,
![0=-6+\dfrac{2}{3}x](https://tex.z-dn.net/?f=0%3D-6%2B%5Cdfrac%7B2%7D%7B3%7Dx)
![6=\dfrac{2}{3}x](https://tex.z-dn.net/?f=6%3D%5Cdfrac%7B2%7D%7B3%7Dx)
![18=2x](https://tex.z-dn.net/?f=18%3D2x)
![9=x](https://tex.z-dn.net/?f=9%3Dx)
Thus, x-intercept is (9,0).
Plot (0,-6) and (9,0) on a coordinate plane and join them by a straight line as shown below.
From the graph it is clear that the graph is not passing through the II quadrant.
Therefore, the graph is not passing through the II quadrant.
Because the two shorter sides of the right triangle are equal, it is an isosceles right triangle, wth angles 45°, 45° and 90°.
Let x = the length of one of the shorter sides, and
y = the length of the hypotenuse.
The area is 8.63 m², therefore
(1/2)x² = 8.63
x² = 17.26
From the Pythagorean Theorem, obtain
y² = x² + x² = 34.52
y = 5.875 m
Answer: 5.875 m