## Problem 2045

Complete the sentence below. For a triangle with sides a, b, c, and opposite angles A, B, C, the law of sines states that__________________.   Solution:-   For a triangle…

## Problem 2044

Find the equation of a line that passes through (2,14) and is parallel to the graph of y = 3x +4. Write the equation in slope-intercept form.   Solution:-  …

## Problem 2043

The slope of a given line is shown below. Find the slope of a line parallel to the given line and the slope of a line perpendicular to the given…

## Problem 2042

The slope of a given line is shown below. Find the slope of a line parallel to the given line and the slope of a line perpendicular to the given…

## Problem 2041

What is the range of  f(x) = 2×2 + 1.   Solution:-   The range of the function  f(x) ≥1 The graph of the function is a parabola. The positive…

## Problem 2040

What is the equation that passes through the points (4, 3) and (7, 0)?   Solution:-   Find the slope and y-intercept. y = -x + 7

## Problem 2039

What is the range of the following function? f(x) = {(4,6) ,(5,7),(6,8),(7,9)}   Solution:-   Given a set of ordered pairs, the range is found by identifying the y-coordinates from…

## Problem 2038

What is the domain of the following function? f(x) = {(4,6) ,(5,7),(6,8),(7,9)}   Solution:-   The domain contains the x-coordinates of a set of ordered pairs. {4,5,6,7}

## Problem 2037

Explain why there are restrictions on the domain for the function f(x) = Solution:-   The domain of a function is the set of values for which it is defined.…

## Problem 2036

Explain how a graph fails the vertical line test.   Solution:-   The vertical line test is a procedure to check to see if a graph of a relation is…