You design the wooden picture frame and paint the front surface.

Mathematics

2 answers:

Hitman42 [59]2 years ago

4 0

Answer:

a) 8x + 28
b) 68 in²

Step-by-step explanation:

Area of the frame with picture:

A = lw
A₁ = (x + 4)(x + 7) = x² + 11x + 28

Area of the picture:

A₂ = x(x + 3) = x² + 3x

Area of the wooden frame is the difference of the above values:

A₃ = A₁ - A₂
A₃ = x² + 11x + 28 - x² - 3x
= 8x + 28

When x = 5, the picture frame area is:

A₃ = 8*5 + 28 = 40 + 28 = 68 in²

spayn [35]2 years ago

3 0

Answer:

Variables (or indeterminate), terms, exponents, and constants make up a polynomial expression. 3x2 -2x-10, for example, is a polynomial.

If a polynomial is represented in such a way that the term with the highest degree is placed first, followed by the term with the next highest degree, and so on, it is said to be in its standard form. 14x4 - 5x3 - 11x2 - 11x + 8 is an example.

The answers for your question:

a) 8x + 28

b) 68 in^2

Step-by-step explanation:

Thanks for the points :3

You might be interested in

Mina created a miniature rocket launcher, and the graph shows the height of one of her

Kazeer [188]

Answer:

Work individually or in teams of two to construct and launch paper rockets using a teacher-built PVC-pipe launcher.

Following the flight of their rocket, calculate the altitude their rocket achieved.

Based on the flight performance of their rockets, analyze their rocket designs, modify or rebuild them, launch again, and calculate the altitude achieved to determine if their changes affected the performance of the rocket.

Conclude the activity by writing a post-flight mission report.

Materials