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PtichkaEL [24]
3 years ago
15

The perimeter of a rectangle is represented by 4x2 + 5x − 2. The perimeter of a smaller rectangle is represented by x2 + 3x + 5.

Which polynomial expression BEST represents how much larger the first rectangle is than the smaller rectangle?
Mathematics
2 answers:
REY [17]3 years ago
6 0
<span>4x2 +5x - 2 -x2 +3x +5 Simplified: 3x2 + 8x +3 In order to determine the difference in size, you must subtract the perimeter of the smaller rectangle from the perimeter of the larger rectangle.</span>
pantera1 [17]3 years ago
5 0

Answer:

3x^{2} +2x-7                                                                                                                                        

Step-by-step explanation:

Given :

Perimeter of a bigger rectangle is represented by 4x^{2} +5x-2

Perimeter of a smaller  rectangle is represented by x^{2} +3x+5

To Find : Polynomial expression that represents how much larger the first rectangle is than the smaller rectangle.

Solution :

Subtract the equation of perimeter of  smaller rectangle from equation of  perimeter of a bigger rectangle :

⇒  4x^{2} +5x-2 - (x^{2} +3x+5)

⇒4x^{2} +5x-2-x^{2} -3x-5

⇒3x^{2} +2x-7

So, Polynomial expression that represents how much larger the first rectangle is than the smaller rectangle is 3x^{2} +2x-7.

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Answer:

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7 0
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Read 2 more answers
Which equation represents a line passing through the point (8,33) with a slope of 3?
Delvig [45]

The slope intercept form of equation of required line is y = 3x + 9

What is equation of line in slope intercept form?

The most general form of equation of line in slope intercept form is given by y = mx + c

Where m is the slope of the line and c is the y intercept of the line.

Slope of a line is the tangent of the angle that the line makes with the positive direction of x axis.

If  \theta is the angle that the line makes with the positive direction of x axis, then slope (m) is given by

m =  tan\theta

The distance from the origin to the point where the line cuts the x axis is the x intercept of the line.

The distance from the origin to the point where the line cuts the y axis is the y intercept of the line.

Here,

Slope = 3

The line passes through (8, 33)

Equation of required line

y - 33 = 3(x - 8)

y - 33 = 3x - 24

y = 3x - 24 + 33

y = 3x + 9

To learn more about equation of line in slope intercept form, refer to the link:

brainly.com/question/25514153

#SPJ1

6 0
1 year ago
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