Answer:
![\frac{x^2}{4}-\frac{y^2}{25} =1](https://tex.z-dn.net/?f=%5Cfrac%7Bx%5E2%7D%7B4%7D-%5Cfrac%7By%5E2%7D%7B25%7D%20%3D1)
Step-by-step explanation:
we are given
center =(0,0)
we can compare with
center=(h,k)=(0,0)
so, h=0 and k=0
a=2 and b=5
now, we can use equation of hyperbola formula
![\frac{(x-h)^2}{a^2}-\frac{(y-k)^2}{b^2} =1](https://tex.z-dn.net/?f=%5Cfrac%7B%28x-h%29%5E2%7D%7Ba%5E2%7D-%5Cfrac%7B%28y-k%29%5E2%7D%7Bb%5E2%7D%20%3D1)
now, we can plug values
![\frac{(x-0)^2}{2^2}-\frac{(y-0)^2}{5^2} =1](https://tex.z-dn.net/?f=%5Cfrac%7B%28x-0%29%5E2%7D%7B2%5E2%7D-%5Cfrac%7B%28y-0%29%5E2%7D%7B5%5E2%7D%20%3D1)
we can simplify it
and we get equation of hyperbola as
![\frac{x^2}{4}-\frac{y^2}{25} =1](https://tex.z-dn.net/?f=%5Cfrac%7Bx%5E2%7D%7B4%7D-%5Cfrac%7By%5E2%7D%7B25%7D%20%3D1)
Answer:
-2 > -9
or
-9 < -2
Step-by-step explanation:
238 = 2*7*17
374 = 2*11*17
So GCD(238, 374) would be 2*17 = 34
Answer:
Step-by-step explanation:
divide by 2 and square it
y+axSQUARED +bx+ c ----->(b/2)squared +d
2 ) add and subtract d to the equation
y = (axSQUARED +bx +d ) + c -d
factor the first part of the equation to match the vertex form and simplify
y= a(x-h)SQUARED + c- d
Y = a ( x - h SQUARED + k
Answer:
11.5 m^2
Step-by-step explanation:
The area of a parallelogram is base * height, so you have to find the height.
You can see on the left there's a 30 - 60 - 90 triangle with a hypotenuse of 4. Using the proportion rule, you know that the 2nd side is 4/
=
.
Then, find the area, so do base * height = 5 *
=
.
Put this in a calculator and you get: 11.5 m^2