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german
2 years ago
9

4. (07.06)

Mathematics
1 answer:
timofeeve [1]2 years ago
3 0

The expression that represents the area of the rectangle is 2x² + 6x − 20. Thus, the correct option is C.

<h3>What is a rectangle?</h3>

A parallelogram in which adjacent sides are perpendicular to each other is called a rectangle. A rectangle is always a parallelogram and a quadrilateral but reverse statement may or may not be true.

The area of the rectangle is the product of its length and its width. Therefore, the area of the given rectangle is,

Area = (2x-4)(x+5)

       = 2x² + 10x - 4x - 20

       = 2x² +6x - 20

Hence, the expression that represents the area of the rectangle is 2x² + 6x − 20. Thus, the correct option is C.

The complete question is:

Write a simplified polynomial expression in standard form to represent the area of the rectangle below.

  • 2x² + 10x + 20
  • 2x² + 6x + 20
  • 2x² + 6x − 20
  • 2x² − 4x − 20

The image of the rectangle is given below.

Learn more about Rectangle:

brainly.com/question/15019502

#SPJ1

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Thepotemich [5.8K]

Answer:

B. 4

Step-by-step explanation:

A direct proportion has the form

y = kx or k=y/x,

where k is the proportionality constant.

Let's test some points.

Second point

k = 8/2 = 4

Fifth point

k = 23/5.75 = 4

You will get the same result for every point, so the constant of proportionality is 4.

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3 years ago
What is the product?
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Step-by-step explanation:

8 0
2 years ago
For any perfect square trinomial (quadratic), the constant term (last term) must be positive.
Ronch [10]

Answer:

For the perfect square trinomial (quadratic) i.e. \left(x\:+\:3\right)^2, the constant term (last term) is positive.

Step-by-step explanation:

"Perfect square trinomials" are termed as the quadratics that are the outcomes of squaring binomials.

For example:

\left(x\:+\:3\right)^2

\mathrm{Apply\:Perfect\:Square\:Formula}:\quad \left(a+b\right)^2=a^2+2ab+b^2

a=x,\:\:b=3

=x^2+2x\cdot \:3+3^2

=x^2+6x+9

Therefore, for the perfect square trinomial (quadratic) i.e. \left(x\:+\:3\right)^2, the constant term (last term) is positive.

5 0
3 years ago
Write formula for arithmetic sequence when first term is not given
SashulF [63]
An<span> = am</span><span> + (n – 1)d.
i feel like this can work</span>
8 0
2 years ago
When using base-10 blocks to divide 452 by 2, how many hundreds flats will be in each equal group? hundreds flats Divide 452 by
daser333 [38]
<h3>Given</h3>

4 hundreds flats; 5 tens rods; 2 ones cubes

<h3>Find</h3>

The number of hundreds flats in each of 2 equal piles

<h3>Solution</h3>

When 4 flats are divided into two equal groups, each group will have ...

... 2 flats

_____

You can imagine doing this the way a card dealer might: first put 1 flat in each of 2 piles, then do the same for the remaining 2 flats. Each pile will end up with 2 flats.

— — — — —

You will have a problem if you continue with the tens rods. There is an odd number of those, so one of them will have to be exchanged for 10 ones cubes.

8 0
3 years ago
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