Triangle abc is an equilateral triangle with side lengths labeled a, b, and c. triangle a b c is an equilateral triangle. the length of side a b is c, the length of b c is a, and the length of a c is b. trigonometric area formula: area = one-half a b sine (c) which expressions represent the area of triangle abc? select three options. a c sine (60 degrees) one-half b c sine (60 degrees) one-half a squared sine (60 degrees) startfraction a squared b sine (60 degrees) over 2 endfraction startfraction a b sine (60 degrees) over 2 endfraction

answer-

the statement that f(x) = |x+a| + b has exactly one x-intercept is sometimes correct.

solution-

it solely depends on b, whether the function will have one or two or zero x intercept.

this plot of the given function, f(x) = |x+a| + b will be the basic absolute value graph i.e v shape, with vertex translated to (-a, b), instead of origin.

1-   if b is zero, the graph will have exactly one x-intercept, at x= -a

2- if b is positive, the whole graph will be above the x-axis, hence it will have no x-intercepts.

3- if b is negative, the graph will be below the x-axis, hence it will have two x-intercepts.

∴ the statement is sometimes true.