Answer:
only the first option is equivalent
Step-by-step explanation:
Answer:
![\frac{(a-b)^2+b^2}{a^2}](https://tex.z-dn.net/?f=%5Cfrac%7B%28a-b%29%5E2%2Bb%5E2%7D%7Ba%5E2%7D)
Step-by-step explanation:
Since, By the given diagram,
The side of the inner square = Distance between the points (0,b) and (a-b,0)
![=\sqrt{(a-b-0)^2+(0-b)^2}](https://tex.z-dn.net/?f=%3D%5Csqrt%7B%28a-b-0%29%5E2%2B%280-b%29%5E2%7D)
![=\sqrt{(a-b)^2+b^2}](https://tex.z-dn.net/?f=%3D%5Csqrt%7B%28a-b%29%5E2%2Bb%5E2%7D)
Thus the area of the inner square = (side)²
![=(\sqrt{(a-b)^2+b^2})^2](https://tex.z-dn.net/?f=%3D%28%5Csqrt%7B%28a-b%29%5E2%2Bb%5E2%7D%29%5E2)
![=(a-b)^2+b^2\text{ square cm}](https://tex.z-dn.net/?f=%3D%28a-b%29%5E2%2Bb%5E2%5Ctext%7B%20square%20cm%7D)
Now, the side of the outer square = Distance between the points (0,0) and (a,0),
![=\sqrt{(a-0)^2+0^2}](https://tex.z-dn.net/?f=%3D%5Csqrt%7B%28a-0%29%5E2%2B0%5E2%7D)
![=\sqrt{a^2}=a](https://tex.z-dn.net/?f=%3D%5Csqrt%7Ba%5E2%7D%3Da)
Thus, the area of the outer square = (side)²
![=a^2\text{ square cm}](https://tex.z-dn.net/?f=%3Da%5E2%5Ctext%7B%20square%20cm%7D)
Hence, the ratio of the area of the inner square to the area of the outer square
![=\frac{(a-b)^2+b^2}{a^2}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B%28a-b%29%5E2%2Bb%5E2%7D%7Ba%5E2%7D)
Answer:
SSS
Step-by-step explanation:
Only sides are given, not angles, so you know it's side-side-side
Answer:
Step-by-step explanation:
The standard equation of a parabola is
y² = 4ax
where, a is the focus,
The coordinates of the centre of parabola is (0,0)
coordinates of focus is (a, 0)
It is symmteric about the x axis
the equation of directrix is x = -a.
Answer:
x = 335 - (6 * v)
Step-by-step explanation:
In order to calculate the value remaining, we need to first multiply the daily cost of each visit by the number of visits made to the gym which is represented by the variable (v). Once we have this cost of all the days then we subtract this amount from the current account balance in order to get the new remaining balance which is represented by x.
x = 335 - (6 * v)