Answer:
14
Step-by-step explanation:
divide 84 by 6 equals 14.
Parallel = has same slope
On points( 3,4) (-2,2)
(2-4)/(-2-3) = -2/-5 = 2/5 slope
Use same formula: (y2-y1)/(x2-x1)
Find the slope of the other points:
(-2,-5) and (-7,-3)
(-3-(-5))/(-7-(-2)) = 2/-5 = -2/5
(-1, 1) and (-6, -1)
(-1-1)/(-6-(-1)) = -2/-5 = 2/5
(0,0) and (2,5)
(5-0)/(2-0) = 5/2
(1,0) and (6,2)
(2-0)/(6-1) = 2/5
(3,0) and (8,2)
(2-0)/(8-3) = 2/5
Which has same slope of 2/5?
You can see :)
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)
4x-9=2x+5
4x-2x=9+5
2x=14
divide both sides by 2
x=7
The answer is 1/3 because of rise over run