Answer:
m ≠1 ( all m in R except 1 )
Step-by-step explanation:
hello :
mx − y + 3 = 0.....(*)
(2m − 1)x − y + 4 = 0 ....(**)
multiply (*) by : -1 you have : -mx+y-3=0 ....(***)
(2m − 1)x − y + 4 = 0 ....(**)
add(***) and(**) : -mx+ (2m − 1)x+1 =0
(2m-m-1)x+1=0
(m-1)x = -1
this system have no solution if : m-1≠0 means : m ≠1
1. Ratio between onions and tomatoes:
There are 3 onions and 4 carrots.
Therefore, required ratio is 3:4
2. Ratio between tomatoes to cups of chicken stock:
There are 6 tomatoes and 5 cups of chicken stock.
Hence, the required ratio is 6:5.
3. Sticks of butter to bananas:
There are 1 stick of butter and 2 bananas.
So, the required ratio is 1 to 2.
4. Teaspoons of salt to teaspoons of black pepper:
There are 2 teaspoons of salt and 1 teaspoon of black pepper.
Please refer attached figure.
5. Let's calculate the ratio of cups of chocolate chips to tomatoes.
There are 3 cups of chocolate chips and 6 tomatoes.
Hence, the required ratio is 3:6 and on simplifying, 1:2.
Answer:
3
1
0
=
4
5
1
4
Step-by-step explanation:
Answer:

Step-by-step explanation:
From figure,

In triangle 

![\Rightarrow (a+b)^2=(a-b)^2+(O' D)^2\\\Rightarrow a^2+b^2+2ab-a^2-b^2+2ab=(O' D)^2\\\Rightarrow 4ab=(O' D)^2\\\Rightarrow O'D=2\sqrt{ab} \\\Rightarrow O' D=2\sqrt{ab}=AB \quad \quad [\because O' DAB\;\; \text{is a rectangle.}]](https://tex.z-dn.net/?f=%5CRightarrow%20%28a%2Bb%29%5E2%3D%28a-b%29%5E2%2B%28O%27%20D%29%5E2%5C%5C%5CRightarrow%20a%5E2%2Bb%5E2%2B2ab-a%5E2-b%5E2%2B2ab%3D%28O%27%20D%29%5E2%5C%5C%5CRightarrow%204ab%3D%28O%27%20D%29%5E2%5C%5C%5CRightarrow%20O%27D%3D2%5Csqrt%7Bab%7D%20%5C%5C%5CRightarrow%20O%27%20D%3D2%5Csqrt%7Bab%7D%3DAB%20%5Cquad%20%5Cquad%20%5B%5Cbecause%20O%27%20DAB%5C%3B%5C%3B%20%5Ctext%7Bis%20a%20rectangle.%7D%5D)
Hence, 
Step-by-step explanation:
