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Mathematics

1 answer:

juin [17]3 years ago

6 0

Answer:

75.

Step-by-step explanation:

17−14−8(8−17)

=75

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What is the constant speed of freddy and sam?

dlinn [17]

The constant speed, or "average rate of change" is their slope.

so hmmm looking at Fred's graph, let's pick two points on the line, say 0,0 the origin and 8,2

$\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
&({{ 0}}\quad ,&{{ 0}})\quad 
% (c,d)
&({{8}}\quad ,&{{ 2}})
\end{array}
\\\\\\
% slope = m
slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{2-0}{8-0}\implies \cfrac{2}{8}\implies \cfrac{1}{4}$

now, for Sam, let's use the last two points in the table then,

$\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
&({{ 20}}\quad ,&{{ 2\frac{1}{2}}})\quad 
% (c,d)
&({{32}}\quad ,&{{ 4}})
\end{array}
\\\\\\
% slope = m
slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{4-2\frac{1}{2}}{32-20}\implies \cfrac{4-\frac{5}{2}}{32-20}
\\\\\\
\cfrac{\quad \frac{8-5}{2}\quad }{12}\implies \cfrac{\quad \frac{3}{2}\quad }{\frac{12}{1}}\implies \cfrac{3}{2}\cdot \cfrac{1}{12}\implies \cfrac{1}{8}$

6 0

4 years ago

Read 2 more answers

‼️would appreciate help

horrorfan [7]

Median of Triangle is a line segment from a vertex to the midpoint of the opposite side.

If segment AE is a median of ΔABC, then
segments BE and EC are congruent

7 0

3 years ago

State the missing reasons in this proof. a. b. c.

Inessa [10]

A. vertical angles are congruent
b. alternate interior angles are congruent
c. if alternate interior angles are congruent, lines are parallel

6 0

3 years ago

3 T-shirts cost $12. How much will 50 T-shirts cost?

LekaFEV [45]

Answer:

$200

Step-by-step explanation: