Edgar builds a sand castle with a rectangular base. The side lengths of the base are 25 in. And 16 in. He wants to surround the castle's base with a moat that is w inches wide. Write a quadratic function A in standard form to represent the combined area taken up by the castle and the moat.

Step-by-step explanation:

-Given the castle dimensions is 25in by 16 in.

-And the moat's width is w:

The moat's width will increase the castle's dimension bytwice it's width, 2w:

#The castles area is thus calculated as:

Hence, the combined area of the boat is given as

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it

it is x=-4

step-by-step explanation: