Question

AcellusSimplify QP.b2+(-c+ [?])2R(0, a)s (b, c)Enter the value thatbelongs in thegreenbox.IP (b, -c)Q (0, -a)Distance Formula : d = (x2 – Xı)2 + (y2 - Yı)?Enter

Answer 1

a

Step-by-step explanation:

To know the distance between two points of coordinates (x1, y1) and (x2, y2), we can use the following equation:

`d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}`

So, to know the length of segment QP, we need to replace (x1, y1) by Q(0, -a) and (x2, y2) by P(b, -c) to get:

`\sqrt[]{(b-0)^2+(-c-(-a))^2}`

Then, simplifying, we get:

`\sqrt[]{b^2+(-c+a)^2}`

Therefore, the value that belongs to the green box is a.

So, the answer is a