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steposvetlana [31]
3 years ago
11

What is the slope of the graph?

Mathematics
1 answer:
Keith_Richards [23]3 years ago
4 0

Use the coordinates of the two black dots:

(2,3) and (7,6)

Slope is the change in Y over the change in X:

Slope = (6-3) / (7-2)

Slope = 3/5

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Answer:

f(4) = 22

Step-by-step explanation:

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we have f(1) = -5

and f(n) = f(n-1) + 9

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Then

with n= 2 we have f(2) = f(1) + 9 = - 5+ 9= 4

with n= 3 we have f(3) = f(2) + 9 = 4 + 9= 13

and finally with n= 4 we find f(4) = f(3) + 9 = 13+ 9= 22

So f(4) = 22

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Step-by-step explanation:

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Lines x and y intersect to make two pairs of vertical angles, q, s and r, t. Fill in the blank space in the given proof to prove
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C) Subtraction property of equality.

Step-by-step explanation:

Given that, two lines x and y intersect to make pairs of vertical angles:

\angle q, \angle s and \angle r, \angle t.

Kindly refer to the attached image for details of the given angles and lines.

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\begin{center}\begin{tabular}{ c c}Statements & Reasons \\ m\angle q+m\angle r=180^\circ & \angle q\ and\ \angle r\ are\ supplementary  \\  m\angle r+m\angle s=180^\circ & \angle r\ and\ \angle s\ are\ supplementary  \\  \angle q+\angle r=\angle q+\angle r & Algebraic substitution  \\ m\angle q = m\angle s & Subtraction property of equality\end{tabular}\end{center}

Here, subtraction property of equality is used in the last step shown in the above.

As per the <em>Subtraction property </em>of equality, when some value is subtracted from both the sides of the equality, equality remains the same.

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