Find the average rate of change of the function defined by the following table

1 answer:

4 0

In short, the average rate of change is plainly the slope of the set, so we can pick any two points off there, say 2, 35 and 10, 115,

$\bf (\stackrel{x_1}{2}~,~\stackrel{y_1}{35})\qquad 
(\stackrel{x_2}{10}~,~\stackrel{y_2}{115})
\\\\\\
% slope = m
slope = m\implies 
\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{115-35}{10-2}\implies \cfrac{80}{8}\implies 10$

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Given and which statement is correct? AB = FD AB < FD AB > FD AB ≤ FD

mojhsa [17]

Side AB is longer than side FD. Option (b) is correct.

Further explanation:

Given:

The options area as follows,

(a). $\overline {{\text{AB}}}$ and $\overline {{\text{FD}}}$ are the same length.

(b). $\overline {{\text{AB}}}$ is longer than $\overline {{\text{FD}}}.$

(c). $\overline {{\text{AB}}}$ is shorter than $\overline {{\text{FD}}}.$

(d). ${\text{AB}} \leqslant {\text{FD}}$

Explanation:

The sides opposite to equal angles are equal.

The side opposite to greater angle is greater than the other one.

The measure of $\angle {\text{DEC}}$ is ${65^ \circ }.$

The measure of $\angle {\text{BCA}}$ is ${72^ \circ }.$

$\angle {\text{BCA}}$ is greater than $\angle {\text{DEC}}$ . Therefore, the side opposite to greater angle is greater.

Side AB is longer than side FD. Option (b) is correct.

Option (a) is not correct.

Option (b) is correct.

Option (c) is not correct.

Option (d) is not correct.

Learn more:

Learn more about inverse of the function brainly.com/question/1632445.
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Learn more about range and domain of the function brainly.com/question/3412497.

Answer details:

Grade: High School

Subject: Mathematics

Chapter:Triangles

Keywords: relations, functions, all relation are functions, all functions are relations, no relations are functions, no functions are relation, one-to-one, onto, graph representation, paired, y-value, x-values, origin.

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