Answer:
Explained below :)
(I tried my best, sorry if it doesn't make sense.)
Step-by-step explanation:
Example: 1/4 - 1/8= ?
1: Find the common denominator (bottom number)
2: If the common denominator is 8 then you multiply 1/4 by 2/2 to get the denominator of 8. If you needed then you can multiply the other fraction to get the same denominator.
3: Once you get multiply that then you get 2/8 -1/8.
4: Subtract the numerator (top number) 1
5: Keep the numerator (8)
6: Your answer would be 1/8
Answer:
no it is not.two side must be equal in rectangle.
Answer:
x = - 2
Step-by-step explanation:
Given
×
= 18 = 2 × 9 =
× 3²
Then
= ![2^{1}](https://tex.z-dn.net/?f=2%5E%7B1%7D)
Since bases on both sides are equal, both 2, then equate exponents
x + 3 = 1 ( subtract 3 from both sides )
x = - 2
Then
= ![2^{1}](https://tex.z-dn.net/?f=2%5E%7B1%7D)
and
= 3²
18 = 2 × 3²
The given equation is ![2c^2=16c-32](https://tex.z-dn.net/?f=2c%5E2%3D16c-32)
We need to determine the type of solution and the number of solutions.
<u>Solving the equation:</u>
Let us solve the equation to determine the number of solution and the type of solution.
Subtracting both sides of the equation by 16c, we get;
![2c^2-16c=-32](https://tex.z-dn.net/?f=2c%5E2-16c%3D-32)
Adding both sides of the equation by 32, we have;
![2 c^{2}-16 c+32=0](https://tex.z-dn.net/?f=2%20c%5E%7B2%7D-16%20c%2B32%3D0)
Let us solve the equation using the quadratic formula.
Thus, we have;
![c=\frac{-(-16) \pm \sqrt{(-16)^{2}-4 \cdot 2 \cdot 32}}{2 \cdot 2}](https://tex.z-dn.net/?f=c%3D%5Cfrac%7B-%28-16%29%20%5Cpm%20%5Csqrt%7B%28-16%29%5E%7B2%7D-4%20%5Ccdot%202%20%5Ccdot%2032%7D%7D%7B2%20%5Ccdot%202%7D)
Simplifying, we get;
![c=\frac{16 \pm \sqrt{{256}-256}}{4}](https://tex.z-dn.net/?f=c%3D%5Cfrac%7B16%20%5Cpm%20%5Csqrt%7B%7B256%7D-256%7D%7D%7B4%7D)
![c=\frac{16 \pm \sqrt{0}}{4}](https://tex.z-dn.net/?f=c%3D%5Cfrac%7B16%20%5Cpm%20%5Csqrt%7B0%7D%7D%7B4%7D)
![c=\frac{16}{4}](https://tex.z-dn.net/?f=c%3D%5Cfrac%7B16%7D%7B4%7D)
![c=4](https://tex.z-dn.net/?f=c%3D4)
Thus, the solution of the equation is 4.
Hence, the equation has one rational solution.
Therefore, Option A is the correct answer.