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3 years ago

Next time, the rabbit from the previous problem start at 10 where on the number line can he be after the same three jumps?

Mathematics

1 answer:

Dimas [21]3 years ago

5 0

Answer:

3,5,7,9,11,13,15,17

Step-by-step explanation:

If rabbit starts at 0 the following are the possibilities

-4-2-1=-7

-4-2+1=-5

-4+2-1=-3

-4+2+1=-1

4-2-1=1

4-2+1=3

4+2-1=5

4+2+1=7

If the rabbit starts at 10 then

10-7=3

10-5=5

10-3=7

10-1=9

10+1=11

10+3=13

10+5=15

10+7=17

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In how many ways can four people sit around a circular table? Seating arrangements are considered different only if at least one

Lapatulllka [165]

Answer:

(x-1)!

Step-by-step explanation:

lets say you want to sit x people around a table you would do x!. but since it doesn't count if you rotate the table you have to divide it by x, so the answer is x!/x = (x-1)!

3 0

3 years ago

Indicate the equation of the given line in standard form. The line that is the perpendicular bisector of the segment whose endpo

noname [10]

Well the line that bisects RS, will cut RS in two equal halves, therefore, that line will cut RS perpendicularly at the midpoint of RS.

now, what the dickens is the midpoint of RS anyway?

$\bf \textit{middle point of 2 points }\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
R&({{ -1}}\quad ,&{{ 6}})\quad 
% (c,d)
S&({{ 5}}\quad ,&{{ 5}})
\end{array}\qquad
% coordinates of midpoint 
\left(\cfrac{{{ x_2}} + {{ x_1}}}{2}\quad ,\quad \cfrac{{{ y_2}} + {{ y_1}}}{2} \right)
\\\\\\
\left( \cfrac{5-1}{2}~~,~~\cfrac{5+6}{2} \right)\implies \stackrel{midpoint}{\left(2~~,~~\frac{11}{2} \right)}$

so, we know that perpendicular line, will have to go through (2, 11/2)

now, a perpendicular line to RS, will have a negative reciprocal slope to it. Well, what is the slope of RS anyway?

$\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
&({{ -1}}\quad ,&{{ 6}})\quad 
% (c,d)
&({{ 5}}\quad ,&{{ 5}})
\end{array}
\\\\\\
% slope = m
slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{5-6}{5-(-1)}\implies \cfrac{5-6}{5+1}\implies -\cfrac{1}{6}$

and let's check the reciprocal negative of that,

$\bf \textit{perpendicular, negative-reciprocal slope for slope}\quad -\cfrac{1}{6}\\\\
slope=-\cfrac{1}{{{ 6}}}\qquad negative\implies +\cfrac{1}{{{ 6}}}\qquad reciprocal\implies + \cfrac{{{ 6}}}{1}\implies 6$

so, then, what's is the equation of a line whose slope is 6, and goes through 2, 11/2?

$\bf \begin{array}{lllll}
&x_1&y_1\\
% (a,b)
&({{ 2}}\quad ,&{{ \frac{11}{2}}})
\end{array}
\\\\\\
% slope = m
slope = {{ m}}= \cfrac{rise}{run} \implies 6
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-\cfrac{11}{2}=6(x-2)
\\\\\\
y-\cfrac{11}{2}=6x-12\implies -6x+y=-12+\cfrac{11}{2}\implies \stackrel{\textit{standard form}}{-6x+y=-\cfrac{13}{2}}$

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3 years ago

Which rigid transformation does not result in a reversed orientation of the original image?

ehidna [41]

Reflection is a type of transformation which will not result in reversed orientation. This transformation that uses a line that acts like a mirror called the line of reflection which means that with an image reflected in the line.

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3 years ago

Read 2 more answers

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Anettt [7]

Answer:

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Step-by-step explanation:

The equation x = t² - 3 is represented by exponential growth, ( t² ) so it's graph will be similar to the first graph, graph 1, in our options. Then again we have to consider the equation y = √t - 2, which will be similar to graph 4, but with a greater slope. This leaves us with a solution of graph b.

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4 years ago

A baseball accelerates at 127,145m/s2 when a batter applies 15,137N of force to it. What is the mass of the baseball?

prohojiy [21]

Answer:

mass = 0.12 kg

Step-by-step explanation:

Force = mass • acceleration

15 137 N = mass • 127 145 m/s/s

divide each side by 127 145 m/s/s

0.11905... kg = mass

rounded to 2 decimal places

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2 years ago