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Elena-2011 [213]
3 years ago
7

What is the slope of the line joining (8, 8) and (12, 6)? answer choices attached

Mathematics
2 answers:
Margaret [11]3 years ago
3 0
\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
%   (a,b)
&({{ 8}}\quad ,&{{ 8}})\quad 
%   (c,d)
&({{ 12}}\quad ,&{{ 6}})
\end{array}
\\\quad \\\\
% slope  = m
slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{6-8}{12-8}
iragen [17]3 years ago
3 0
Slope = y2-y1/x2-x1
m= 6-8/12-8
slope (m) = -1/2
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Answer:

I think

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and that's the answer

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Answer:

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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

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we know that

2r+s=18

s=r \theta

2r+r \theta=18

solve for r

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

step 2

Find the value of s

s=r \theta

substitute the value of r

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

step 3

we know that

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The complete circle subtends a central angle of 2π radians

so

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Let

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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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4 years ago
Determine if the linear system
zubka84 [21]

Answer:

b. The system is not in echelon form because the system is not organized in descending "stair step" pattern so that the index of the leading variables increases from the top to bottom.

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4 0
3 years ago
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