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MAVERICK [17]
3 years ago
13

A rectangle is drawn so that the width is 4 feet shorter than the length. the area of the rectangle is 32 square feet. find the

length of the rectangle.
Mathematics
1 answer:
Bogdan [553]3 years ago
3 0
L=W-2LW=35 substitute in W-2 for L(W-2)(W)=35W2 -2w -35=0(W-5)(W-7)=0therefore w=7 and L=5
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Answer please I’m dying from math
charle [14.2K]

Answer:

\huge\boxed{\text{D)} \  15x^4 + 2x^3 - 8x^2 - 22x - 15}

Step-by-step explanation:

We can solve this multiplication of polynomials by understanding how to multiply these large terms.

To multiply two polynomials together, we must multiply each term by each term in the other polynomial. Each term should be multiplied by another one until it's multiplied by all of the terms in the other expression.

  • <em>We can do this by focusing on one term in the first polynomial and multiplying it by </em><em>all the terms</em><em> in the second polynomial. We'd then repeat this for the remaining terms in the second polynomial.</em>

Let's first start by multiplying the first term of the first polynomial, 3x^2, by all of the terms in the second polynomial. (5x^2+4x+5)

  • 3x^2 \cdot  5x^2 = 15x^4
  • 3x^2 \cdot 4x = 12x^3
  • 3x^2 \cdot 5 = 15x^2

Now, we can add up all these expressions to get the first part of our polynomial. Ordering by exponent, our expression is now

  • \displaystyle 15x^4 + 12x^3 + 15x^2

Now let's do the same with the second term (-2x) and the third term (-3).

  • -2x \cdot 5x^2 = -10x^3  
  • -2x \cdot 4x = -8x^2
  • -2x \cdot 5 = -10x
  • Adding on to our original expression: \displaystyle 15x^4 + 12x^3 - 10x^3 + 15x^2 - 8x^2 - 10x

  • -3 \cdot 5x^2 = -15x^2
  • -3 \cdot 4x = -12x
  • -3 \cdot 5 = -15
  • Adding on to our original expression: \displaystyle 15x^4 + 12x^3 - 10x^3 + 15x^2 - 8x^2 - 15x^2 - 10x - 12x - 15

Phew, that's one big polynomial! We can simplify it by combining like terms. We can combine terms that share the same exponent and combine them via their coefficients.

  • 12x^3 - 10x^3 = 2x^3
  • 15x^2 - 8x^2 - 15x^2 = -8x^2
  • -10x - 12x = -22x

This simplifies our expression down to 15x^4 + 2x^3 - 8x^2 - 22x - 15.

Hope this helped!

7 0
2 years ago
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m_a_m_a [10]

Answer: 2

Step-by-step explanation:

3 0
3 years ago
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jeka94

Answer:

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Step-by-step explanation:

you can use law of sine

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3 years ago
What is the correct answer..
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Step-by-step explanation:

To find the height of the kite we use sin trigonometric ratio.

Let the height of the kite from the ground be x feet.

\therefore \: \sin 40 \degree =  \frac{x}{100}  \\  \\  \therefore \: 0.6427876097=  \frac{x}{100}  \\  \\ \therefore \: 0.6427876097 \times 100= x \\  \\  \therefore \:x = 64.29  \\  \\  \therefore \:x = 64 \: feet

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Answer:

Line M would also have a slope of 2/3.

Step-by-step explanation:

When two line are parallel that means that they will never intersect.

In order for two lines to avoid intersection they would have to be at the same slope.

Since lines K and line M are parallel to each other they have to have the same slope.

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