1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Alika [10]
2 years ago
14

A rectangle has sides measuring (2x + 7) units and (5x + 9) units.

Mathematics
1 answer:
Snowcat [4.5K]2 years ago
3 0

Answer:

  A. 10x^2 +53x +63

  B. degree 2; quadratic trinomial

  C. the result of the multiplication of polynomials is a polynomial

Step-by-step explanation:

<h3>Part A:</h3>

The area is the product of length and width. The distributive property is useful for simplifying the expression.

  A = LW

  A = (2x +7)(5x +9) = 2x(5x +9) +7(5x +9)

  A = (10x^2 +18x) +(35x +63)

  A = 10x^2 +53x +63 . . . . area expression

__

<h3>Part B:</h3>

The highest power of x is 2. There are 3 terms. A degree-2 polynomial is called a "quadratic." A 3-term polynomial is called a "trinomial."

  • degree 2
  • quadratic trinomial

__

<h3>Part C:</h3>

In part A we multiplied two polynomials and came up with a result that is a polynomial. This suggests polynomials are closed with respect to multiplication.

You might be interested in
From the given angle measurements, you can’t directly find the measure of angle L. However, you can find the measurement of angl
DaniilM [7]

The measurement of angle L = 50°.

Solution:

The given image is a rectangle.

The measurement of ∠A = 25°

The measurement of ∠B = 25°

ABC is a triangle.

Sum of the interior angles of the triangle = 180°

⇒ m∠A + m∠B + m∠C = 180°

⇒ 25° + 25° + m∠C = 180°

⇒ 50° + m∠C = 180°

⇒ m∠C = 180° – 50°

⇒ m∠C = 130°

Sum of the adjacent angles in a straight line = 180°

⇒ m∠C + m∠L = 180°

⇒ 130°  + m∠L = 180°

⇒ m∠L = 180° – 130°

⇒ m∠L = 50°

Hence the measurement of angle L = 50°.

8 0
3 years ago
Read 2 more answers
A bag contains 5 red marbles, 3 blue marbles and 2 green marbles. If two marbles are drawn out of the bag, what is the probabili
katen-ka-za [31]

Answer:

333.3.../1000 chance

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Gavin was thinking of a number. Gavin halves the number and gets an answer of 34.3. Form an equation with x as information.
Lostsunrise [7]

Gavin's number is 68.6

Equation: 1/2(x) = 34.3

Use inverse operations on both sides.

1/2(x) = 1x or x = 34.3(2)

34.3(2) = 68.6

Thus, x equals 68.6

6 0
3 years ago
(PLEASE HURRY I NEED IT TODAY)
slega [8]

Answer:

1) Reflection in the x-axis

A' = (-2, -3)

2) Rotation of 180° clockwise about the origin

A'' = (2, 3)

3) Translation of 3 units down and 4 units to the right

A''' = (6, 0)

Step-by-step explanation:

The transformations are as follows;

1) Reflection in the x-axis

Here the x-coordinate is the same and the y-coordinate changes sign.

Therefore, we have;

A (-2, 3)

After reflection in the x-axis becomes A' = (-2, -3)

2) Rotation of 180° clockwise about the origin

When, a point (x, y) is rotated 180° clockwise about the origin, it becomes (-x, -y)

Therefore, we have;

A' = (-2, -3) becomes A'' = (2, 3)

3) Translation of 3 units down and 4 units to the right

Translation of 3 units down and 4 units to the right = T_{(4, -3)

Which gives

A''' = (2 + 4, 3 - 3) = (6, 0).

6 0
3 years ago
Ayudaaaaaaa es para hoy:
kupik [55]

El precio <em>resultante</em> con descuento de 12 % es igual a 342.32 pesos.

<h3>¿Cómo hallar el precio resultante con descuento?</h3>

En este problema tenemos que determinar el precio <em>resultante</em>, el cual es igual al precio <em>inicial</em> menos el descuento. A continuación, se presenta la siguiente expresión:

x = 389 · (1 - 12/100)

x = 389 - 46.68

x = 342.32

El precio <em>resultante</em> con descuento de 12 % es igual a 342.32 pesos.

Para aprender más sobre descuentos: brainly.com/question/24130820

#SPJ1

7 0
2 years ago
Other questions:
  •  Plz help  me answer this math question.Trevor has 12 2/5 acres to plant vegetables. He uses 1/5 of the acres for corn and 1/3
    14·1 answer
  • In the division problem 8 ÷ 2 = 4, which is the dividend?<br><br> 2<br> 4<br> 2 and 4<br> 8
    11·2 answers
  • What is the best method to solve <br><br> x^2 – 4x – 5 = 0
    5·1 answer
  • Evaluate each expression if <br> a=1, b=4, x=-2, y=3
    7·1 answer
  • What is 63,120,000 written in scientific notation
    10·1 answer
  • Janie receives an allowance of $3 per week. In addition, she can earn 2$ for each chore she does. This week, she wants to earn e
    7·2 answers
  • (upvote) write this into an expression:<br><br> two more than five times a number.
    9·1 answer
  • Use integration by parts to find the Laplace transform of the given function; n is a positive integer and a is a real constant.
    5·1 answer
  • You are designing a simulation for which day of the week people are born. You assign numbers to each day of the week, from, Sund
    14·1 answer
  • Solve the equation. 20 = y + 8
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!