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study help
mathematics
precalculus

Questions and Answers of Precalculus

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 = 4
In problem, find the intercepts and graph each equation by plotting points. Be sure to label the intercepts.y = x2 - 1
In problem, plot each pair of points and determine the slope of the line containing them. Graph the line.(-1, 2); (-1, -2)
In problem, write the standard form of the equation and the general form of the equation of each circle of radius r and center (h, k). Graph each circle.r = 1/2; (h, k) = (0, 1/2)
In problem, find the intercepts and graph each equation by plotting points. Be sure to label the intercepts.y = 3x - 9
In problem, write the standard form of the equation and the general form of the equation of each circle of radius r and center (h, k). Graph each circle.r = 1/2; (h, k) = (1/2, 0)
True or FalseThe distance between two points is sometimes a negative number.
In problem, list the intercepts and test for symmetry with respect to the x-axis, the y-axis, and the origin.y = 5x
In problem, find the center and radius of each circle. Write the standard form of the equation. Уд (2, 3) (0, 1)
True or FalseIf a graph is symmetric with respect to the x-axis, then it cannot be symmetric with respect to the y-axis.
True or FalsePerpendicular lines have slopes that are reciprocals of one another.
For the line 2x + 3y = 6, find a line parallel to it containing the point (1, -1). Also find a line perpendicular to it containing the point (0, 3).
If three distinct points P, Q, and R all lie on a line and if d(P, Q) = d(Q, R), then Q is called the ___________ of the line segment from P to R.
In problem, list the intercepts and test for symmetry with respect to the x-axis, the y-axis, and the origin.2x = 3y2
In problem, find the center and radius of each circle. Write the standard form of the equation. У (4, 2) |(1, 2)
True or FalseThe y-coordinate of a point at which the graph crosses or touches the x axis is an x-intercept.
The lines y = 2x – 1 and y = ax + 2 are perpendicular if a =.
Find the center and radius of the circle x2 + y2 + 4x – 2y – 4 = 0. Graph this circle.
List the intercepts of the graph below. Ул 2. -2 4.
In problem, find the center and radius of each circle. Write the standard form of the equation.. Уд (1, 2) (1, 0) х
The lines y = 2x + 3 and y = ax + 5 are parallel if a = ______.
Write the general form of the circle with center (4, -3) and radius 5.
If (x, y) are the coordinates of a point P in the xy-plane, then x is called the ___________ of P and y is the ___________ of P.
Graph y = x2 + 4 by plotting points.
In problem, find the center and radius of each circle. Write the standard form of the equation. yA (0, 1) • (2, 1)
True or FalseTo find the y-intercepts of the graph of an equation, let x = 0 and solve for y.
If the graph of an equation is symmetric with respect to the origin and (3, -4) is a point on the graph, then is also a point on the graph.
Write the slope–intercept form of the line with slope -2 containing the point (3, -4). Graph the line.
In problem, find the following for each pair of points:(a) The distance between the points(b) The midpoint of the line segment connecting the points(c) The slope of the line containing the points(d)
True or FalseThe center of the circle(x + 3)2 + (y - 2) 2 = 13 is (3, -2)
If the graph of an equation is symmetric with respect to the y-axis and -4 is an x-intercept of this graph, then _________ is also an x-intercept.
True or FalseThe point (1, 2) is on the line 2x + y = 4.
List the intercepts and test for symmetry: x2 + y = 9.
The area A of a triangle whose base is b and whose altitude is h is A = _______ .
In problem, find the following for each pair of points:(a) The distance between the points(b) The midpoint of the line segment connecting the points(c) The slope of the line containing the points(d)
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 __________.
True or FalseThe slope of the line 2y = 3x + 5 is 3.
Sketch the graph of y2 = x.
Use the converse of the Pythagorean Theorem to show that a triangle whose sides are of lengths 11, 60, and 61 is a right triangle.
In problem, find the following for each pair of points:(a) The distance between the points(b) The midpoint of the line segment connecting the points(c) The slope of the line containing the points(d)
For a circle, the ____________ is the distance from the center to any point on the circle.
The x-intercepts of the graph of an equation are those x-values for which ___________.
True or FalseVertical lines have an undefined slope.
Graph y = x2 – 9 by plotting points.
In problem, find the following for each pair of points:(a) The distance between the points(b) The midpoint of the line segment connecting the points(c) The slope of the line containing the points(d)
In problem, use P1 = (-1, 3) and P2 = (5, -1).(a) Find the slope of the line containing P1 and P2.(b) Interpret this slope.
A horizontal line is given by an equation of the form _________, where b is the __________.
The points, if any, at which a graph crosses or touches the coordinate axes are called ____________.
The slope of a vertical line is__________ ; the slope of a horizontal line is _________ .
In problem, use P1 = (-1, 3) and P2 = (5, -1).Find the midpoint of the line segment joining P1 and P2.
For the line 2x + 3y, the x-intercept is _______ and the y-intercept is ________.
Solve the equation x2 - 9 = 0.
In problem, find the following for each pair of points:(a) The distance between the points(b) The midpoint of the line segment connecting the points(c) The slope of the line containing the points(d)
True or FalseEvery equation of the form x2 + y2 + ax + by + c = 0 has a circle as its graph.
Use the Square Root Method to solve the equation (x – 2)2 = 9.
In problem, find the following for each pair of points:(a) The distance between the points(b) The midpoint of the line segment connecting the points(c) The slope of the line containing the points(d)
To complete the square of x2 + 10x, you would (add /subtract) the number ________.
Solve the equation 2(x + 3) - 1 = -7.
1. Treating year as the independent variable and the winning value as the dependent variable, find linear equations relating these variables (separately for men and women) using the data for the

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