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Vinil7 [7]
3 years ago
10

Write a polynomial expression, in simplified form, that represents the AREA of the blanket and use the expression to evaluate th

e AREA of the blanket if x = 2.

Mathematics
1 answer:
pochemuha3 years ago
6 0

Answer:

Polynomial expression that represents the area of blanket:

A(x)=(6x^2+5x-21)cm^2

If x=2: A(2)=13cm^2  

Step-by-step explanation:

The area of the rectangle can be calculated with the formula:

A=lw

Being l the lenght of the rectangle and w the width of the rectangle.

In this case, the lenght and the width are represented with:

l=(3x+7)cm

w=(2x-3)cm

Substitute them into  A=lw:

 A(x)=(3x+7)(2x-3)

Then:

Use Distributive property (Remember the Product of powers property: b^a*b^c=b^{(a+c)} ):

A(x)=(3x+7)(2x-3)\\A(x)=6x^2-9x+14x-21

Add like terms:

A(x)=(6x^2+5x-21)cm^2 (Simplied form)

Evaluate x=2:

A(2)=(6(2)^2+5(2)-21)cm^2\\A(2)=(6(4)+10-21)cm^2\\A(2)=(24-11)cm^2\\A(2)=13cm^2

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PLEASE HELP I WILL GIVE 100+ POINTS
Setler [38]
<h2>Answer: </h2>

1. <u>Area = b × h</u>

A = 5 × 3

A = 15cm².

2. <u>Area = ½(a + b) × h</u>

A = ½(9 + 15) × 15

A = ½ × 24 × 15

A = 12 × 15

A = 180mm².

3. <u>Area = 2(l × b) + l × b</u>

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2 years ago
Write the equation in standard form. Identity the center and radius.<br> x² + y2 + 8x-4y-7=0
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Answer:

equation;

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Since the x^2 and y^2 have the same coeffiecent this will be a circle in a form of

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so we have

{x}^{2}  + 8x + 16 +  {y}^{2}  - 4y + 4y = 7 + 16 + 4

{x}^{2}  + 8x + 16  +  {y}^{2}  - 4y + 4y = 27

(x + 4) {}^{2}  +  (y  - 2) {}^{2}  = 27

To find our center, h is -4 and k is 2

so the center is (-4,2)

The radius is

\sqrt{27}  = 3 \sqrt{3}

So the radius is 3 times sqr root of 3.

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