PLEASE ANSWER ALL QUESTIONS BELOW

Find the distance d (P1, P2) between the points P1 and P2. l P1 = (5, ' 3): P2 = (3,2) d(P1, P2) = (Simplify your answer. Type an exact answer, using radicals as needed.) Find the midpoint of the line segment joining the points P1 and P2. l P1 =(3, 4); P2 = (9, a) The midpoint of the line segment joining the points P1 and P2 is (Simplify your answer. Type an ordered pair.) The midpoint of the line segment from P1 to P2 is ( - 5,3). If P1 = ( - 2,1), what is P2? l P2 = (Type an ordered pair.) Complete the sentence below. l6 If for every point (x,y) on the graph of an equation the point ( x,y) is also on the graph, then the graph is symmetric with respect to the If for every point (x,y) on the graph of an equation the point ( - x,y) is also on the graph, then the graph is symmetric with respect to the l Determine which of the given points are on the graph of the equation. Equation: y = x4 Points: (0, 1), (1,0), ( 1,4) Which of these points are on the graph of the equation? Select all that apply. (1,0) (114) (0. 1) 53.05\"? None of the points are on the graph. I Find the intercepts and use them to graph the equation. y=x-6 Select the correct choice below and, if necessary, ll in the answer box to complete your choice. O A- The intercept(s) is/are :. (Type an ordered pair. Use a comma to separate answers as needed.) 0 B. There are no intercepts. Use the graphing tool to graph the equation. Use the intercepts when drawing the line. If only one intercept exists, use it and another point to draw the line. Click to Determine whether the graph of the equation is symmetric with respect to the xaxis, the yaxis, and/or the origin. l yzx16=0 (:1 A. yaxis c. 3 B. xaxis if) c. origin C) D. xaxis, y-axis, origin i )E. none \fFind an equation for the line, in the indicated form, with the given properties. K Containing the points ( - 8,3) and ( - 3,6); general form O A. - 3x - 5y = - 39 O B. 3x - 5y = - 39 O C. - 11x -9y= -87 O D. 11x+ 9y= -87Find an equation for the line with the given properties. Express your answer using either the general form or the slope-intercept form of the equation of a line. l6 1 Perpendicular to the line y = EX + 4; containing the point (3,6) The equation is . (Type an equation. Simplify your answer.) The equations of two lines are given. Determine whether the lines are parallel, perpendicular, or neither. K y = 9x - 7 y = 9x + 3 Are the lines parallel, perpendicular, or neither? O Perpendicular O Parallel O NeitherI Write the standard form of the equation and the general form of the equation of the circle with Ay radius r and center (h,k). Then graph the circle. 6 r = 2; (ink) = (0. - 2) .4 2 The standard form of the equation of this circle is D. -6 .4 12 2 2 6 ngmam;mi '09 E I Write the standard form of the equation and the general form of the equation of the circle with radius r and center (h,k). Then graph the circle. r: 5; (h,k)= (3,4) The standard form of the equation of this circle is 9,0 1 1 l6 Write the standard form of the equation and the general form of the equation of the circle of radius r = E and center (h,k) = [30] . Graph the circle. The standard form of the equaticn of this circle is . (Use integers or fractions for any numbers in the expression.) l A circle has the equation x2 + y2 = 64. (a) Find the center (h,k) and radius r of the circle. (b) Graph the circle. (c) Find the intercepts, if any, of the graph. (a) The center of the circle is . (Type an ordered pair, using integers or decimals.) I For the equation x2 + y2 - 2x - 8y 19 = 0, do the following. (3) Find the center (h,k) and radius rof the circle. (b) Graph the circle. (0) Find the intercepts, if any. (a) The center is (Type an ordered pair.) '09 l A circle has the equation x2 + y2 + 3x + By + 9 = 0. (a) Find the center (h,k) and radius r of the circle. (b) Graph the circle. (c) Find the intercepts, if any, of the graph. (a) The center of the circle is . (Type an ordered pair, using integers or fractions.) State whether the following statement is true or false. I The center of the circle (x + 3)2 + (y 2)2 = 13 is (3, - 2). Choose the correct answer below. C) True C) False Choose the equation of a circle with radius 6 and center (3, - 4). K . . . Choose the correct answer below. O A. ( X - 3) 2 + ( y + 4 ) 2 = 6 O B. ( x + 3) 2 + (y - 4)2 = 36 O c. ( x - 3) 2 + ( y + 4)2 = 36 OD. ( x + 3)2 + ( y - 4) 2 = 6The equation of a circle can be changed from general form to standard form by doing which of the following? l Choose the correct answer below. C) A. solving forx Q B. solving for y C) c. completing the squares C) D. squaring both sides Write a general formula to describe the variation. I y varies directly with x; y = 5 when x = 35 Write a general formula to describe the variation. K A varies directly with x2; A = 64x when x = 4 A= (Type an exact answer in terms of J.)The monthly payment p on a mortgage varies directly with the amount borrowed B. If the monthly payment on a 30-year mortgage is $ 6.79 for every $1000 borrowed, nd a linear equation that '6 relates the monthly payment p to the amount borrowed B for a mortgage with the same terms. Then nd the monthly payment p when the amount borrowed is $250,000. What is the general formula describing the variation? Use k for the constant of proportionality. (' ') B C) p = kB k I 6 The distance 5 that an object falls is directly proportional to the square of the time t of the fall. If an object falls 16 feet in 1 second, how far will it fall in 3 seconds? How long will it take an object to fal 256 feet? An object will fall V in 3 seconds. The elongation E of a spring balance varies directly with the applied weight W (see the figure). If K E = 3 when W = 28, find E when W = 23. km-> W E=| | (Type an integer or a simplified fraction.)At a corner gas station, the revenue R varies directly with the number g of gallons of gasoline sold. If the revenue is $28.70 when the number of gallons sold is 7, find a linear equation that relates K revenue R to the number g of gallons of gasoline. Then find the revenue R when the number of gallons of gasoline sold is 12.5. Write the linear equation that relates R to g. R= (Simplify your answer.)Write a general formula to describe the variation. I? F varies inversely with d2; F = 72 when d = 9 l Suppose that the demand D for candy at a theater is inversely related to the price p. (a) When the price of candy is $2.25 per bag, the theater sells 60 bags of candy. Express the demand for candy in terms of its price. (b) Determine the number of bags of candy that will be sold if the price is raised to $2.50 a bag. (a) Write the equation that relates D to p. D= The volume of a gas V held at a constant temperature in a closed container varies inversely with its pressure P. If the volume of a gas is 600 cubic centimeters (cc) when the pressure is '6 300 millimeters of mercury (mm Hg), nd the volume when the pressure is 200 mm Hg. When the pressure is 200 mm Hg, the volume is V