Driving 40 miles in 2 hours is the answer
Given:
The equation is:
![(2x+3y)(2x-3y)=4x^2+6y^2](https://tex.z-dn.net/?f=%282x%2B3y%29%282x-3y%29%3D4x%5E2%2B6y%5E2)
To find:
The error in the given equation and correct it.
Solution:
We have,
![(2x+3y)(2x-3y)=4x^2+6y^2](https://tex.z-dn.net/?f=%282x%2B3y%29%282x-3y%29%3D4x%5E2%2B6y%5E2)
Taking left-hand side, we get
![L.H.S.=(2x+3y)(2x-3y)](https://tex.z-dn.net/?f=L.H.S.%3D%282x%2B3y%29%282x-3y%29)
![[\because a^2-b^2=(a-b)(a+b)]](https://tex.z-dn.net/?f=%5B%5Cbecause%20a%5E2-b%5E2%3D%28a-b%29%28a%2Bb%29%5D)
![[\because (ab)^x=a^xb^x]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%28ab%29%5Ex%3Da%5Exb%5Ex%5D)
![L.H.S.=4x^2-9y^2](https://tex.z-dn.net/?f=L.H.S.%3D4x%5E2-9y%5E2)
It is not equal to right-hand side
. In the right hand side, there must be a negative sign instead of positive sign.
Therefore,
.
Answer:
(x + 3)² + (y – 4)² = 1
Step-by-step explanation:
(x – h)² + (y – k)² = r².
Where (h, k) is the center of the circle, and r is the radius of the circle.
Answer:
a plane figure with four straight sides and four right angles, especially one with unequal adjacent sides, in contrast to a square.
Step-by-step explanation:
please mark brainiest
Answer:
x=25°
Step-by-step explanation:
<u>Sum of angles of a triangle equals 180°</u>
- x + 10° + 2x + 15° + 3x + 5° = 180°
- 6x + 30° = 180°
- 6x = 180° - 30°
- 6x = 150°
- x = 150°/6
- x = 25°