A is the answer happy 2 help :D
Answer:
(0,-5) and (0,5).
Step-by-step explanation:
We have been given that an equation of hyperbola
.
First of all we will convert our given equation into the standard form of hyperbola.
Let us divide both sides of our equation by 100.
![\frac{4y^2}{100}-\frac{25x^2}{100}=\frac{100}{100}](https://tex.z-dn.net/?f=%5Cfrac%7B4y%5E2%7D%7B100%7D-%5Cfrac%7B25x%5E2%7D%7B100%7D%3D%5Cfrac%7B100%7D%7B100%7D)
![\frac{y^2}{25}-\frac{x^2}{4}=1](https://tex.z-dn.net/?f=%5Cfrac%7By%5E2%7D%7B25%7D-%5Cfrac%7Bx%5E2%7D%7B4%7D%3D1)
Since we know that the positive term in the equation of a hyperbola determines whether the hyperbola opens in the x-direction or in the y-direction. Our hyperbola has a positive
term, so it opens in the y-direction (up and down).
The equation of a vertical hyperbola is :
, where -a and a are vertices of our hyperbola.
![a^2=5^2](https://tex.z-dn.net/?f=a%5E2%3D5%5E2)
![5^2=\pm5](https://tex.z-dn.net/?f=5%5E2%3D%5Cpm5)
Upon comparing our equation with vertical hyperbola equation we can see that vertices of our hyperbola will be (0.-5) and (0,5).
Acoordinate grid is shown below: a coordinate grid from negative 2 to 0 to positive 2 is drawn. there are three grid lines between a whole unit on the grid. part a: which point represents the origin? (2 points) part b: starting from the origin, explain how to plot the following three points accurately: (2, −2) (−2, 1.5) (−1, fraction 2 over 4)
Answer:
y = 4x - 1
Step-by-step explanation:
(1, 3) ; (2 ,7 )
![Slope =\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{7-3}{2-1}\\\\=\frac{4}{1}\\\\= 4\\\\\\y - y_{1} = m(x -x_{1})\\\\y - 3 = 4(x - 1)\\\\y - 3 =4x - 4\\ y = 4x - 4 + 3\\y = 4x - 1](https://tex.z-dn.net/?f=Slope%20%3D%5Cfrac%7By_%7B2%7D-y_%7B1%7D%7D%7Bx_%7B2%7D-x_%7B1%7D%7D%5C%5C%5C%5C%3D%5Cfrac%7B7-3%7D%7B2-1%7D%5C%5C%5C%5C%3D%5Cfrac%7B4%7D%7B1%7D%5C%5C%5C%5C%3D%204%5C%5C%5C%5C%5C%5Cy%20-%20y_%7B1%7D%20%3D%20m%28x%20-x_%7B1%7D%29%5C%5C%5C%5Cy%20-%203%20%3D%204%28x%20-%201%29%5C%5C%5C%5Cy%20-%203%20%3D4x%20-%204%5C%5C%20y%20%3D%204x%20-%204%20%2B%203%5C%5Cy%20%3D%204x%20-%201)
Zero integers will be 124 the closet you can get is 123