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study help
mathematics
precalculus
Questions and Answers of
Precalculus
In problem, find 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, whichever you
Find all points on the x-axis that are 6 units from the point (4, -3).
Graph the line with slope 2/3 containing the point (1, 2).
In problem, the graph of an equation is given.(a) Find the intercepts.(b) Indicate whether the graph is symmetric with respect to the x-axis, the y-axis, or the origin. 40 -6 -40-
In problem, find 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, whichever you
Find all points having a y-coordinate of -6 whose distance from the point (1, 2) is 17.(a) By using the Pythagorean Theorem.(b) By using the distance formula.
Sketch a graph of y = √x.
In problem, the graph of an equation is given.(a) Find the intercepts.(b) Indicate whether the graph is symmetric with respect to the x-axis, the y-axis, or the origin. 3 x -3 -6F
In problem, find 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, whichever you
Find all points having an x-coordinate of 3 whose distance from the point (-2, -1) is 13.(a) By using the Pythagorean Theorem.(b) By using the distance formula.
Sketch a graph of y = x3.
In problem, the graph of an equation is given.(a) Find the intercepts.(b) Indicate whether the graph is symmetric with respect to the x-axis, the y-axis, or the origin. У 3 3 x -3 3F
In problem, find an equation of the line L.L is perpendicular to y = x У4 3 (-1, 1) -3 1х У%3 -х
If the (-1, 6) point is shifted 2 units to the left and 4 units up, what are its new coordinates?
In problem, find the intercepts and graph each line.1/3 x - 1/4 y = 1
In problem, the graph of an equation is given.(a) Find the intercepts.(b) Indicate whether the graph is symmetric with respect to the x-axis, the y-axis, or the origin. y . 3 -3 -3
If the point (2, 5) is shifted 3 units to the right and 2 units down, what are its new coordinates?
In problem, find the intercepts and graph each line.1/2 x + 1/3 y = 2
In problem, the graph of an equation is given.(a) Find the intercepts.(b) Indicate whether the graph is symmetric with respect to the x-axis, the y-axis, or the origin. 4 -3 3х -4
In problem, find an equation of the line L.L is parallel to y = x (1, 2) -1 3 x y=-x
In problem, find the midpoint of the line segment joining the points P1 and P2.P1 = (a, a); P2 = (0, 0)
In problem, find the intercepts and graph each line.x - 2y = 8
In problem, find the standard form of the equation of each circle.Center (-1, 3) and tangent to the line y = 2
In problem, the graph of an equation is given.(a) Find the intercepts.(b) Indicate whether the graph is symmetric with respect to the x-axis, the y-axis, or the origin. y тX пх — т ElN
In problem, find an equation of the line L.L is parallel to y = 2x Ул 3 (3, 3) 3 х У - 2х
In problem, find the midpoint of the line segment joining the points P1 and P2.P1 = (a, b); P2 = (0, 0)
In problem, find the intercepts and graph each line.2x - 3y = 12
In problem, find the standard form of the equation of each circle.With endpoints of a diameter at (4, 3) and (0, 1)
In problem, the graph of an equation is given.(a) Find the intercepts.(b) Indicate whether the graph is symmetric with respect to the x-axis, the y-axis, or the origin. y 3 -3 3х -3-
In problem, find an equation of the line L. УА (2, 2) 2 (-1, 1) -2 -1F
In problem, find the midpoint of the line segment joining the points P1 and P2.P1 = (-4, -3); P2 = (2, 2)
In problem, find the slope and y-intercept of each line. Graph the line, labeling any intercepts.-3/4 x + 1/2 y = 0
In problem, find the standard form of the equation of each circle.With endpoints of a diameter at (1, 4) and -(3, 2)
In problem, find an equation of the line L. Уд 3 (-1, 3) (1, 1) 2х -2 -1
In problem, find the midpoint of the line segment joining the points P1 and P2.P1 = (4, -3); P2 = (6, 1)
In problem, find the slope and y-intercept of each line. Graph the line, labeling any intercepts.1/2 x - 1/3 y = - 1/6
In problem, find the standard form of the equation of each circle.Center (-3, 1) and tangent to the y-axis
In problem, find an equation of the line L. УА (-2, 1) 2- (0,0) 2 х 7. -2 -1
In problem, find the midpoint of the line segment joining the points P1 and P2.P1 = (2, -3); P2 = (4, 2)
In problem, find the slope and y-intercept of each line. Graph the line, labeling any intercepts.3x + 4y = 12
In problem, find the standard form of the equation of each circle.Center (2, 3) and tangent to the x-axis
In problem, find an equation of the line L. y. (2, 1) (0, 0) -2 -1 2 X
In problem, find the midpoint of the line segment joining the points P1 and P2.P1 = (-3, 2); P2 = (6, 0)
In problem, find the slope and y-intercept of each line. Graph the line, labeling any intercepts.4x - 5y = -20
In problem, find the standard form of the equation of each circle.Center (1, 0) and containing the point (-3, 2)
In problem, the slope and a point on a line are given. Use this information to locate three additional points on the line.Slope -1; point (4, 1)
In problem, find the midpoint of the line segment joining the points P1 and P2.P1 = (-2, 0); P2 = (2, 4)
In problem, find an equation of the line having the given characteristics. Express your answer using either the general form or the slope–intercept form of the equation of a line, whichever you
In problem, find an equation of the line having the given characteristics. Express your answer using either the general form or the slope–intercept form of the equation of a line, whichever you
In problem, find the standard form of the equation of each circle.Center at the origin and containing the point (-2, 3)
In problem, the slope and a point on a line are given. Use this information to locate three additional points on the line.Slope -2; point (-2, -3)
In problem, find the midpoint of the line segment joining the points P1 and P2.P1 = (3, -4); P2 = (5, 4)
In problem, find an equation of the line having the given characteristics. Express your answer using either the general form or the slope–intercept form of the equation of a line, whichever you
In problem,(a) Find the center (h, k) and radius r of each circle;(b) Graph each circle;(c) Find the intercepts, if any.3x2 + 3y2 - 12y = 0
In problem, the slope and a point on a line are given. Use this information to locate three additional points on the line.Slope 4/3; point (-3, 2)
In problem, plot each point and form the triangle ABC. Verify that the triangle is a right triangle. Find its area.A = (4, -3); B = (4, 1); C = (2, 1)
In problem, find an equation of the line having the given characteristics. Express your answer using either the general form or the slope–intercept form of the equation of a line, whichever you
In problem,(a) Find the center (h, k) and radius r of each circle;(b) Graph each circle;(c) Find the intercepts, if any.2x2 + 8x + 2y2 = 0
In problem, the slope and a point on a line are given. Use this information to locate three additional points on the line.Slope - 3/2 point (2, -4)
In problem, find an equation of the line having the given characteristics. Express your answer using either the general form or the slope–intercept form of the equation of a line, whichever you
In problem, the slope and a point on a line are given. Use this information to locate three additional points on the line.Slope 2; point (-2, 3)
In problem, plot each point and form the triangle ABC. Verify that the triangle is a right triangle. Find its area.A = (-6, 3); B = (3, -5); C = (-1, 5)
In problem, find an equation of the line having the given characteristics. Express your answer using either the general form or the slope–intercept form of the equation of a line, whichever you
In problem,(a) Find the center (h, k) and radius r of each circle;(b) Graph each circle;(c) Find the intercepts, if any.2x2 + 2y2 - 12x + 8y - 24 = 0
In problem, the slope and a point on a line are given. Use this information to locate three additional points on the line.Slope 4; point (1, 2)
In problem, find an equation of the line having the given characteristics. Express your answer using either the general form or the slope–intercept form of the equation of a line, whichever you
In problem,(a) Find the center (h, k) and radius r of each circle;(b) Graph each circle;(c) Find the intercepts, if any.x2 + y2 + x + y - 1/2 = 0
In problem, graph the line containing the point P and having slope m.P = (-2, 0); slope undefined
In problem, plot each point and form the triangle ABC. Verify that the triangle is a right triangle. Find its area.A = (-2, 5); B = (12, 3); C = (10, -11)
In problem, find an equation of the line having the given characteristics. Express your answer using either the general form or the slope–intercept form of the equation of a line, whichever you
In problem,(a) Find the center (h, k) and radius r of each circle;(b) Graph each circle;(c) Find the intercepts, if any.x2 + y2 - x + 2y + 1 = 0
In problem, graph the line containing the point P and having slope m.P = (0, 3); slope undefined
In problem, plot each point and form the triangle ABC. Verify that the triangle is a right triangle. Find its area.A = (-2, 5); B = (1, 3); C = (-1, 0)
In problem, find an equation of the line having the given characteristics. Express your answer using either the general form or the slope–intercept form of the equation of a line, whichever you
In problem,(a) Find the center (h, k) and radius r of each circle;(b) Graph each circle;(c) Find the intercepts, if any.x2 + y2 - 6x + 2y + 9 = 0
In problem, find the intercepts and graph each equation by plotting points. Be sure to label the intercepts.4x2 + y = 4
In problem, graph the line containing the point P and having slope m.P = (2, -4); m = 0
In problem,(a) Find the center (h, k) and radius r of each circle;(b) Graph each circle;(c) Find the intercepts, if any.x2 + y2 + 4x - 4y - 1 = 0
In problem, find the intercepts and graph each equation by plotting points. Be sure to label the intercepts.9x2 + 4y = 36
In problem, graph the line containing the point P and having slope m.P = (-1, 3); m = 0
In problem, find the center and radius of each circle. Graph each circle. Find the intercepts, if any, of each circle.2x2 + 2y2 - 4x = 0
In problem,(a) Find the center (h, k) and radius r of each circle;(b) Graph each circle;(c) Find the intercepts, if any.x2 + y2 + 4x + 2y - 20 = 0
In problem, find the intercepts and graph each equation by plotting points. Be sure to label the intercepts.5x + 2y = 10
In problem, graph the line containing the point P and having slope m.P = (1, 3); m = - 2/5
In problem, find the center and radius of each circle. Graph each circle. Find the intercepts, if any, of each circle.3x2 + 3y2 - 6x + 12y = 0
In problem,(a) Find the center (h, k) and radius r of each circle;(b) Graph each circle;(c) Find the intercepts, if any.x2 + y2 - 2x - 4y - 4 = 0
In problem, find the intercepts and graph each equation by plotting points. Be sure to label the intercepts.2x + 3y = 6
In problem, graph the line containing the point P and having slope m.P = (2, 4); m = - 3/4
In problem, find the center and radius of each circle. Graph each circle. Find the intercepts, if any, of each circle.x2 + y2 + 4x - 4y - 1 = 0
In problem,(a) Find the center (h, k) and radius r of each circle;(b) Graph each circle;(c) Find the intercepts, if any.3(x + 1)2 + 3(y - 1)2 = 6
In problem, find the intercepts and graph each equation by plotting points. Be sure to label the intercepts.y = -x2 + 1
In problem, graph the line containing the point P and having slope m.P = (2, 1); m = 4
In problem,(a) Find the center (h, k) and radius r of each circle;(b) Graph each circle;(c) Find the intercepts, if any.2(x - 3)2 + 2y2 = 8
In problem, find the intercepts and graph each equation by plotting points. Be sure to label the intercepts.y = -x2 + 4
In problem, graph the line containing the point P and having slope m.P = (1, 2); m = 3
In problem, find the center and radius of each circle. Graph each circle. Find the intercepts, if any, of each circle.(x + 2)2 + y2 = 9
In problem,(a) Find the center (h, k) and radius r of each circle;(b) Graph each circle;(c) Find the intercepts, if any.x2 + (y - 1)22 = 1
In problem, find the intercepts and graph each equation by plotting points. Be sure to label the intercepts.y = x2 - 9
In problem, plot each pair of points and determine the slope of the line containing them. Graph the line.(2, 0); (2, 2)
In problem, find the center and radius of each circle. Graph each circle. Find the intercepts, if any, of each circle.x2 + (y - 1)2 = 4
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