Answer:
Circle is a plane region bounded by by a line that lies at a uniform distance from a fixed point.
Step-by-step explanation:
Circle is a plane figure which is formed by the locus of a point which is at a fixed distance from a fixed point called center and the periphery of the figure is called circumference. The distance between any point on the periphery and the center is called radius of the circle.
Diameter is twice the length of the radius and it is the largest line segment that can be drawn between any two points on the circumference.
Any line segment connecting any two points on the periphery of the circle is called a chord, diameter is the largest chord.
Any line passing through any two points on the circumference of a circle is called a secant.
Any line passing through any one point on the circumference of a circle is called a tangent.
Answer:
x = ±
Step-by-step explanation:
Given
x² - 7x + 9 = 0 ( subtract 9 from both sides )
x² - 7x = - 9
Solve using the method of completing the square
add ( half the coefficient of the x- term)² to both sides
x² + 2( - )x +
= - 9 +
(x - )² =
( take the square root of both sides )
x - = ±
= ±
( add
x = ±
=
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:
If and
, then
Step-by-step explanation:
This is a problem that utilizes both substitution and the order of operations.