Prove or disprove that the quadrilateral with vertices \( W(4,6), X(1,13), Y(7,13) \), and \( Z(10,5) \) is a parallelogram by finding the slopes of opposite sides. Write 'undefined' if the slope is undefined. Show your work here Hint: To add the square root symbor. \( (\sqrt{\square}) \), type "root" \( m_{W X}= \) \( m_{Z Y}= \) \( m_{W Y}= \) \( T h e ~ q u a d r i l a t e r a l \) \( m_{X Y}= \) \( Z \)

Examine the graph of the circle at right. Homework Help a. What is the equation of the circle? b. On graph paper, sketch the graph of \( x^{2}+y^{2}=81 \). What is the radius?

\( 1 \leqslant \quad \begin{array}{l}\text { Two gears are adjusted so that the smaller gear drives the } \\ \text { larger one, as shown in the figure. If the smaller gear } \\ \text { rotates through an angle of } 270^{\circ} \text {, through how many } \\ \text { degrees will the larger gear rotate? }\end{array} \)

\( 16 \quad \) How long is an arc intercepted by the given central angle in a circle of radius 3.97 km ?

Two gears are adjusted so that the smaller gear drives the larger one, as shown in the figure. If the smaller gear rotates through an angle of \( 270^{\circ} \), through how many degrees will the larger gear rotate?

find the center and radius of the circle \( x^{2}-2 x+y^{2}=3 \)