Daryn121504
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Drag the tiles to the correct boxes to complete the pairs.

Patricia has a square-shaped photo of her soccer team that she plans to give to her coach. She decides to put the photo in a rectangular frame that is 15 centimeters longer than the length of the picture. This will leave enough space beneath the photo for Patricia's teammates to sign their names.

The area of the framed picture is given by the quadratic expression below, where x represents the side length, in centimeters, of the photo.

[tex]x^2+15x[/tex]

Match each expression to the description it models.
A.the length of the photo
B.the area of the frame around the picture
C.the area of the photo
D.the length of the frame

1.the monomial, x, a factor of
the expression x2 + 15x

2.the binomial, (x + 15), a factor
of the expression x2 + 15x

3.the first-degree term of
the expression x2 + 15x

4.the second-degree term of
the expression x2 + 15x

Respuesta :

1. The monomial, x, a factor of  the expression x2 + 15x "represents the side length, in centimeters, of the photo." So Choice A.

2. The binomial, (x + 15), a factor  of the expression x2 + 15x is Choice D because x is the length of the photo plus the 15 cm left of the frame.

3. The first-degree term of  the expression x2 + 15x is the area of the photo since "x" is the length. So, Choice C.

4. The second-degree term of  the expression x2 + 15x is the area of the frame around the picture. That leaves us with Choice B.

lublana

Answer:

A-1

B-4

C-3

D-2.

Step-by-step explanation:

We are given that  Patricia has a square shaped photo of her soccer team that she plans to given her coach.She decided to put the photo in a rectangular frame that is 15 cm longer than the length of the picture .

Let x be the length of side of  of square shaped photo

Then length of side of rectangular shaped frame=[tex]x+5[/tex]

We are given that the area of framed picture in quadratic expression where x represents the side length in cm of photo

[tex] x^2+15x[/tex]

[tex] x(x+15)[/tex]

The area of square=[tex] side\times side [/tex]

The area of photo=[tex] side \times side[/tex]

Therefore, the area of photo =[tex] x\times x=x^2[/tex]

The area of frame =area of framed picture- area of photo=[tex]x^2+15x=x^2=15x[/tex]

A. The length of the photo

1.The monomial x a factor of the expression

B.The area of the frame around the picture

4. The second- degree term of the expression[tex]x^2+15x[/tex]

C.The are of the photo

3.The first -degree term of the expression[tex] x^2+15x[/tex]

D.The length of the frame

2.The binomial (x+15),a factor of the expression[tex]x^2+15 x[/tex]

Answer: A-1

B-4

C-3

D-2.

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