Answer:
The equation for direct variation is y=kx. Direct variation is when 2 variables both change in the same direction. This means that if one variable increases, then the other does as well and vice versa. In this equation, k is the constant of variation. The constant of variation represents the relationship between the 2 variables. Additionally, the k value does not change.
To solve for k, divide both sides by x. This creates the new equation y/x=k. Using this equation, you can take 2 variables, divide them, and find the constant of variation.
For example, take the values x={1,2,3,4} and y={2,4,6,8}. Using the equation y/x=k, we can find the constant of variation. When plugging the first values of each set into the equation you get 2/1. This equals 2, proving that k=2. Even if you use the other values, like 8/4, k still equals 2.
<u>Answer-</u>
<em>Area of the triangle is </em><em>10 sq.units</em>
<u>Solution-</u>
We know that,
![\text{Area of the triangle}=\dfrac{1}{2}[{x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)]](https://tex.z-dn.net/?f=%5Ctext%7BArea%20of%20the%20triangle%7D%3D%5Cdfrac%7B1%7D%7B2%7D%5B%7Bx_1%28y_2-y_3%29%2Bx_2%28y_3-y_1%29%2Bx_3%28y_1-y_2%29%5D)
Taking,
(x₁, y₁) = (3, 3)
(x₂, y₂) = (3, -1)
(x₃, y₃) = (-2, -5)
Then putting these in the formula,
![\text{Area of the triangle}=\dfrac{1}{2}[3(-1+5)+3(-5-3)-2(3+1)]](https://tex.z-dn.net/?f=%5Ctext%7BArea%20of%20the%20triangle%7D%3D%5Cdfrac%7B1%7D%7B2%7D%5B3%28-1%2B5%29%2B3%28-5-3%29-2%283%2B1%29%5D)
![=\dfrac{1}{2}[3(4)+3(-8)-2(4)]](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B1%7D%7B2%7D%5B3%284%29%2B3%28-8%29-2%284%29%5D)
![=\dfrac{1}{2}[12-24-8]](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B1%7D%7B2%7D%5B12-24-8%5D)
![=\dfrac{1}{2}[-20]](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B1%7D%7B2%7D%5B-20%5D)
As area can not be negative, ignoring negative sign,
Answer:
Need more information
Step-by-step explanation:
I need to know what percentage/fraction of the book she read in 1 hour or any other information about the rate she is reading
Answer:
82.4
Step-by-step explanation:
divide 51/13, multiply that result by 21.
Yes they are the same hope I helped
brainliest pts pls
