The graph of the line y = -6 is a horizontal line which passes through the y axis at -6. On the other hand, the graph of the equation, x = 1/6 is a vertical line that passes through the x-axis at 1/6. The intersection of these lines is at a point that is expressed as (1/6, -6).
Answer:
The number of boys in the school is;
![625](https://tex.z-dn.net/?f=625)
Explanation:
Given that the ratio of boys to girls in a school is 5:4;
![5\colon4](https://tex.z-dn.net/?f=5%5Ccolon4)
And there are 500 girls in the school.
The number of boys in the school will be;
![\begin{gathered} \frac{B}{G}=\frac{5}{4} \\ G=500 \\ B=\frac{5\times G}{4}=\frac{5\times500}{4} \\ B=625 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Cfrac%7BB%7D%7BG%7D%3D%5Cfrac%7B5%7D%7B4%7D%20%5C%5C%20G%3D500%20%5C%5C%20B%3D%5Cfrac%7B5%5Ctimes%20G%7D%7B4%7D%3D%5Cfrac%7B5%5Ctimes500%7D%7B4%7D%20%5C%5C%20B%3D625%20%5Cend%7Bgathered%7D)
Therefore, the number of boys in the school is;
The ratio of linear dimensions (side lengths) is the square root of the ratio of areas.
√1 : √4 = 1 : 2
The best choice is ...
B. 1:2
Answer:
![\rm Numbers = 4 \ and \ -3.](https://tex.z-dn.net/?f=%20%5Crm%20Numbers%20%3D%204%20%5C%20and%20%5C%20-3.)
Step-by-step explanation:
Given :-
The sum of two numbers is 1 .
The product of the nos . is 12 .
And we need to find out the numbers. So let us take ,
First number be x
Second number be 1-x .
According to first condition :-
![\rm\implies 1st \ number * 2nd \ number= -12\\\\\rm\implies x(1-x)=-12\\\\\rm\implies x - x^2=-12\\\\\rm\implies x^2-x-12=0\\\\\rm\implies x^2-4x+3x-12=0\\\\\rm\implies x(x-4)+3(x-4)=0\\\\\rm\implies (x-4)(x+3)=0\\\\\rm\implies\boxed{\red{\rm x = 4 , -3 }}](https://tex.z-dn.net/?f=%5Crm%5Cimplies%201st%20%5C%20number%20%2A%202nd%20%5C%20number%3D%20-12%5C%5C%5C%5C%5Crm%5Cimplies%20x%281-x%29%3D-12%5C%5C%5C%5C%5Crm%5Cimplies%20x%20-%20x%5E2%3D-12%5C%5C%5C%5C%5Crm%5Cimplies%20x%5E2-x-12%3D0%5C%5C%5C%5C%5Crm%5Cimplies%20x%5E2-4x%2B3x-12%3D0%5C%5C%5C%5C%5Crm%5Cimplies%20x%28x-4%29%2B3%28x-4%29%3D0%5C%5C%5C%5C%5Crm%5Cimplies%20%28x-4%29%28x%2B3%29%3D0%5C%5C%5C%5C%5Crm%5Cimplies%5Cboxed%7B%5Cred%7B%5Crm%20x%20%3D%204%20%2C%20-3%20%7D%7D)
Hence the numbers are 4 and -3
<u>5x³ - 12x² + -7</u>
x²
Simplified answer.