The graph of a limacon curve is given. Without using your graphing calculator, determine which equation is correct for the graph. [-5, 5] by [-5, 5]

A. r = 4 + cos ?
B. r = 3 + 2 cos ?
C. r = 2 + 3 cos ?
D. r = 2 + 2 cos ?


Answer: B

Mathematics

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For the given rectangular equation, write an equivalent polar equation. (x - 24)2  + (y + 3)2 = 576

A. r = 48 cos ? - 6 sin ? - 9 B. r2 = 48 r sin ? - 6r cos ? - 9 C. r2 = 48 r cos ? - 6r sin ? - 9 D. r2 = -24r cos ? + 3r sin ? + 576

Mathematics

In the following figure: are parallel and ?DEF is an isosceles triangle.


(a) List two supplementary angles.
(b) What shape is ABDEGHA?
(c) What is the measure of ?DFG?
(d) What is the measure of ?BAH?
(e) How many obtuse interior angles are in the figure? List the angle names and measures.
(f) List one set of vertices that form a pentagon.
(g) List two sets of vertices that form scalene triangles
(h) Which angles are congruent? List all congruent angle sets.

Mathematics

Determine whether the scatter diagram indicates that a linear relation may exist between the two variables. If a linear relation does exist, indicate whether the slope is positive or negative.

A. Nonlinear B. Linear with negative slope C. Linear with positive slope

Mathematics

Solve the problem.A landscaping company sells 40-pound bags of top soil. The actual weight x of a bag, however, may differ from the advertised weight by as much as 0.75 pound. Write an inequality involving absolute value that expresses the relationship between the actual weight x of a bag and 40 pounds. Over what range may the weight of a 40-pound bag of to soil vary?

What will be an ideal response?

Mathematics