Answer:
its a
Step-by-step explanation:
Answer:
Step-by-step explanation:
Answer:
Data
Equation 25x² + 64y² = 1600
Process
1.- Divide all the equation by 1600
25x²/1600 + 64y²/ 1600 = 1600/1600
-Simplify
x²/64 + y²/ 25 = 1
2.- Equation of a horizontal ellipse
3.- Find a, b and c
a² = 64 a = 8
b² = 25 b = 5
-Calculate c with the Pythagorean theorem
a² = b² + c²
-Solve for c
c² = a² - b²
-Substitution
c² = 8² - 5²
-Simplification
c² = 64 - 25
c² = 39
-Result
c = √13
4.- Find the center
C = (0, 0)
5.- Find the vertices
V1 = (-8, 0) V2 = (8, 0)
6.- Find the foci
F1 = (-√13, 0) F2 = (√13, 0)
Answer:
Step-by-step explanation:
Answer:
Solution of the given equations is (-5,2)
Step-by-step explanation:
We have been given the following system of equations:
y = (2/5)x + 4
y = 2x + 12
The solution of the system of equation can be found by finding the point of intersection of both lines on the graph. The graph of both equations is attached below.
As we can see that both the lines intersect each other at one point, and that point is (-5,2). So the solution of the given equations is (-5,2)
