Problem 16
Write the standard form of the equation and the general form of the equation of each circle of radius \(r\) and center \((h, k)\). Graph each circle. $$ r=3 ;(h, k)=(1,0) $$
Problem 16
Determine which of the given points are on the graph of the equation. $$ \begin{array}{l} \text { Equation: } y^{3}=x+1 \\ \text { Points: }(1,2) ;(0,1) ;(-1,0) \end{array} $$
Problem 16
write a general formula to describe each variation. The cube of \(z\) varies directly with the sum of the squares of \(x\) and \(y, \quad z=2\) when \(x=9\) and \(y=4\)
Problem 16
Plot each point in the xy-plane. State which quadrant or on what coordinate axis each point lies. (a) \(A=(1,4)\) (d) \(D=(4,1)\) (b) \(B=(-3,-4)\) (e) \(E=(0,1)\) (c) \(C=(-3,4)\) (f) \(F=(-3,0)\)
Problem 17
Determine which of the given points are on the graph of the equation. $$ \begin{array}{l} \text { Equation: } x^{2}+y^{2}=4 \\ \text { Points: }(0,2) ;(-2,2) ;(\sqrt{2}, \sqrt{2}) \end{array} $$
Problem 17
Write an equation that relates the quantities. The volume \(V\) of a sphere varies directly with the cube of its radius \(r .\) The constant of proportionality is \(\frac{4 \pi}{3}\)
Problem 17
Write the standard form of the equation and the general form of the equation of each circle of radius \(r\) and center \((h, k)\). Graph each circle. $$ r=5 ;(h, k)=(4,-3) $$
Problem 17
Plot each point in the xy-plane. State which quadrant or on what coordinate axis each point lies. Plot the points \((2,0),(2,-3),(2,4),(2,1),\) and \((2,-1) .\) Describe the set of all points of the form \((2, y),\) where \(y\) is a real number.
Problem 18
Determine which of the given points are on the graph of the equation. $$ \begin{array}{l} \text { Equation: } x^{2}+4 y^{2}=4 \\ \text { Points: }(0,1) ;(2,0) ;\left(2, \frac{1}{2}\right) \end{array} $$
Problem 18
Write the standard form of the equation and the general form of the equation of each circle of radius \(r\) and center \((h, k)\). Graph each circle. $$ r=4 ;(h, k)=(2,-3) $$
