Arectangle has sides measuring (4x + 5) units and (3x + 10) units. part a: what is the expression that represents the area of the rectangle? show your work to receive full credit. (4 points) part b: what are the degree and classification of the expression obtained in part a? (3 points) part c: how does part a demonstrate the closure property for polynomials? (3 points)

A =

Step-by-step explanation:

b = 3x+10

h = 4x+5

A = bh

A = (3x+10)(4x+5)

A =

A =

It is a second degree equation, since the major exponent is 2.

In the multiplication of polynomials, it is necessary to consider their exponents, because these are added by passing the same variable, and they must always be integers.

12x2+55x+50

Explanation:

the area of a rectangle is: A=length . width

(4x+5)⋅(3x+10)

=12x2+40x+15x+50

=12x2+55x+50

Step-by-step explanation:

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.

27

step-by-step explanation: