Find the condition at which the line \( l x+m y+n=0 \) touches the circle \( x^{2}+y^{2}+28 x+2 f y+c=0 \) For what value of \( n \), a. the line \( 3 x+4 y+n=0 \) touches the circle \( x^{2}+y^{2}-4 x-6 y-12-02 \)

A rectangular prisin has o square base with sides that are 2 feet long the height of the prism is 5 feet What is the volume of the prism? Show your work Solution

\( V=b \times h=30 \times 2 \), or 60 cubic inches (1) Ted's box is 4 inches tall, 3 inches long, and 1 inch wride a. Label the picture of the box with its dimensions b. What is the volume of the box? Show your work.

Find the distance between the points \( (3,-2) \) and \( (-2,-7) \). Write your answer as a whole number or a fully simplified radical expression. not round.

A large pizza has a diameter of 16 inches. Which of the following is the area of the pizza in terms of pi \( (\pi) \) ? \( 256 \pi \mathrm{in}^{2} \) \( 32 \pi \mathrm{in}^{2} \) \( \mathrm{in}^{2} \)

ind the distance between the points \( (8,10) \) and \( (1,3) \). White your answer as a whole number or a fully simplified radical expression. Do ot round. units