DofotheroU

2020-12-24

For Exercise,

a. Identify the equation as representing a circle, an ellipse, a hyperbola, or a parabola.

b. Graph the curve. c. Identify key features of the graph. That is. If the equation represents a circle, identify the center and radius.

If the equation represents an ellipse, identify the center, vertices, endpoints of the minor axis, foci, and eccentricity.

If the equation represents a hyperbola, identify the center, vertices, foci, equations of the asymptotes, and eccentricity.

If the equation represents a parabola, identify the vertex, focus, endpoints of the latus rectum, equation of the directrix, and equation of the axis of symmetry.

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Skilled2020-12-25Added 91 answers

Step 1

a)For the given equation simplify it and compare with standard forms of conic sections to determine which conic section or a figure it represents as.

Which is a hyperbola.

Step 2

Now to find the features of the given hyperbola there are standard forms where these features can be determined. Let us determine centre ‘C’ of this hyperbola by comparing with standard form of such hyperbola as.

Step 3

Vertices "V" for this hyperbola can be determined to be as.

Step 4

Foci "F" for this hyperbola can be determined to be as

Step 5

Equation of asymptotes for this hyperbola can be determined to be as.

Step 6

Eccentricity "e" is calculated by the formula as.

The distance between the centers of two circles C1 and C2 is equal to 10 cm. The circles have equal radii of 10 cm.

A part of circumference of a circle is called

A. Radius

B. Segment

C. Arc

D. SectorThe perimeter of a basketball court is 108 meters and the length is 6 meters longer than twice the width. What are the length and width?

What are the coordinates of the center and the length of the radius of the circle represented by the equation ${x}^{2}+{y}^{2}-4x+8y+11=0$?

Which of the following pairs of angles are supplementary?

128,62

113,47

154,36

108,72What is the surface area to volume ratio of a sphere?

An angle which measures 89 degrees is a/an _____.

right angle

acute angle

obtuse angle

straight angleHerman drew a 4 sided figure which had only one pair of parallel sides. What could this figure be?

Trapezium

Parallelogram

Square

RectangleWhich quadrilateral has: All sides equal, and opposite angles equal?

Trapezium

Rhombus

Kite

RectangleKaren says every equilateral triangle is acute. Is this true?

Find the number of lines of symmetry of a circle.

A. 0

B. 4

C. 2

D. InfiniteThe endpoints of a diameter of a circle are located at (5,9) and (11, 17). What is the equation of the circle?

What is the number of lines of symmetry in a scalene triangle?

A. 0

B. 1

C. 2

D. 3How many diagonals does a rectangle has?

A quadrilateral whose diagonals are unequal, perpendicular and bisect each other is called a.

A. rhombus

B. trapezium

C. parallelogram