Consider two circles in a plane. The first circle, C₁, has a radius of r₁ and is centered at point A(x₁, y₁). The second circle, C₂, has a radius of r₂ and is centered at point B(x₂, y₂). Determine the values of x₁, y₁, x₂, and y₂ for which the centers of C₁ and C₂ coincide, given that r₁ = 5 units and r₂ = 3 units.

A circle is centered at the origin (0, 0) and has a radius of 4 units. a. Which points on the circle have an x-coordinate of 1? (Your answer should be a list of points, such as "(1,1), (2,4)".) Preview b. Which points on the circle have a y-coordinate of 3? (Your answer should be a list of points, such as "(1,1), (2,4)".) Preview c. Write an equation for the graph of this circle. Preview

COLUMBAN COLLEGE INC., SENIOR HIGH SCHOOL - BASIC EDUCATION DEPARTMENT ASI LEARNER'S MODULE Section: o ams Name of the Student Guided Practice 4: Draw the following circles. Find the center and radius. oinos to inc sto rlgess ads tiw ale vlle enoiteneblen0o lanoit 2. 2x² + 2y² + 6x – 2y – 3 = 0 hbbs 1. x² + y² – 8x + 6y + 13 = 0 ovoworl 10rien anoo sbns ono os ls la yd Jus enoo orit nady o bas enos s lo zixean bexit a moil an yom te iniog to ubol hanib balles onil beh e onib eno bn E botesol l V vd beior enl udTuot eris bna d atuo roirlw xehev eri bris zupol oris gninio emmya lo elxe erlt el zheg leupe owt ni elodsieg 16lusil Chalice and ciborium are made using circular bases Mini Task 2: Chalice and Ciborium and parabolic surfaces. The chalice is a vessel which holds the wine that becomes the Precious Blood of Christ. The ciborium is a golden vessel with a lid that is used for the distribution and reservation of Hosts. els nso bitw ov and bn o qu ansge o teds Jlaw 26 righ o Mini Task…

Given the points P(0,4) and Q(4,7): state the equation of a circle with center P and which has the point Q in standard form. Identify its radius.