problem:

the standard form of a circle is (x-h)2+(y-k)2=r2 and vertex form for the parabola, y-k=a(x-h)2. the (h, k) pair is the center of the circle and the vertex of the parabola. the radius of the circle is ‘r’ and the focal length of the parabola is f=1/(4a). for the following general conic equation: x2+y2-2x-4y-4=0 complete the following problems showing all your work:

a. complete the square showing all your work to convert to standard form:

b. if this is a circle, state the coordinates of the center and give the radius. if this is a parabola, then state the coordinates of the vertex and give the focal length. show all your work.

c. sketch (or plot, or graph) the conic. label the point and values you found in part b. also label the top-most, bottom-most, right-most, and left-most points on the circle or the focus and directrix on the parabola.

What is the length of the segment joining the points at (4,5) and (6,-2) round to the nearest tenth if necessary

Design an er diagram for keeping track of information about votes taken in the u. s. house of representatives during the current two-year congressional session. the database needs to keep track of each u. s. state's name (e. g., texas', new york', california') and include the region of the state (whose domain is {northeast', midwest', southeast', southwest', west'}). each congress person in the house of representatives is described by his or her name, plus the district represented, the start date when the congressperson was first elected, and the political party to which he or she belongs (whose domain is {republican', democrat', 'independent', other'}). the database keeps track of each bill (i. e., proposed law), including the bill name, the date of vote on the bill, whether the bill passed or failed (whose domain is {yes', no'}), and the sponsor (the congressperson(s) who sponsored - that is, proposed - the bill). the database also keeps track of how each congressperson voted on each bill (domain of vote attribute is {yes', no', abstain', absent'}). additional information:

After reading 80% of her e-mails in her inbox, danette still has m unread e-mails. which of the following expressions could represent the number of e-mails danette had in her inbox before she started reading? choose 2 answers: (choice a) 5m (choice b) 1.8m (choice c) 80m (choice d) m/0.8 (choice e) m/1−0.8