What is the area of the region of points satisfying the inequalities x ≤ 0,y ≤ 0,and y ≥ |x+4|-5

How many real solutions are there to the equation √ x+5 = |2x|

Guest Mar 26, 2022

#1**0 **

1) if you graph the v shape on a graph, V , wiith vertex at (-4, -5) you can then make two triangles using the axis as a border.

the left triangle will have area 25/2

the right triangle witch will be smaller as it is below a rectangle will have area 8

and the rectangle will have area 4

thus the total area is 49/2

2) if you square both sides, then you get x+5 = 4x^2

which becomes polynomial 4x^2 -x -5

factor to (4x-5)(x+1)

x = -1 and x = 5/4

Guest Mar 28, 2022