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Maksim231197 [3]
4 years ago
13

What is -4(3x-2) + 5 = 73​

Mathematics
1 answer:
tresset_1 [31]4 years ago
7 0

Answer:

x= -5

Step-by-step explanation:

distribue -4 to get   -12x+8+5=73

combine like terms   -12x+13=73

subtract 13 from both sides   -12x=60

divide both sides by -12        x=-5

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Step-by-step explanation:

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A rope of length 18 feet is arranged in the shape of a sector of a circle with central angle O radians, as shown in the
creativ13 [48]

Answer:

A(\theta)=\frac{162 \theta}{(\theta+2)^2}

Step-by-step explanation:

The picture of the question in the attached figure

step 1

Let

r ---> the radius of the sector

s ---> the arc length of sector

Find the radius r

we know that

2r+s=18

s=r \theta

2r+r \theta=18

solve for r

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step 2

Find the value of s

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substitute the value of r

s=\frac{18}{2+\theta}\theta

step 3

we know that

The area of complete circle is equal to

A=\pi r^{2}

The complete circle subtends a central angle of 2π radians

so

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Let

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\frac{\pi r^{2} }{2\pi}=\frac{A}{\theta} \\\\A=\frac{r^2\theta}{2}

substitute the value of r

A=\frac{(\frac{18}{2+\theta})^2\theta}{2}

A=\frac{162 \theta}{(\theta+2)^2}

Convert to function notation

A(\theta)=\frac{162 \theta}{(\theta+2)^2}

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Step-by-step explanation:

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