Answer:
The answer to your question is below
Step-by-step explanation:
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:
56
Step-by-step explanation:
Answer:
ACB = 85
Step-by-step explanation:
First find x:
10+ x + 60 = 120 - x
x + 70 = 120 - x
Add x to both sides
2x + 70 = 120
subtract 70 from 120
2x = 50
Divide 2 from both sides
x = 25
10 + 25 + 60 = 95
Subtract 95 from 180
ACD = 85
The answer is 12 because u have to replace it -2(3)2(-1) and -2*3=-6 and 2(-1)=-2 and -6*-2=12
The formula for the volume of a sphere is:
V = 4/3 * PI * r^3
The diameter is given as 21.6, divide this by 2 for the radius:
R = 21.6 / 2 = 10.8
V = 4/3 * PI * 10.8^3
V = 5276.7 cm^3
The answer is D