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3 years ago

Is {(1,-2),(-2,0),(-1,2),(1,3)} a function

Mathematics

1 answer:

svp [43]3 years ago

5 0

Answer:

Step-by-step explanation:

No...this is not a function.

A function will not have ANY repeating x values.....they can have repeating y values, just not the x ones.

And this set of numbers has repeating x values of 1

in other words, in a function, all the x values have to be different numbers....none can be the same

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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?

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

6 0

3 years ago

Sergio makes belts in his garage.He makes a certain number of belts for every hour he works.what is the missing value in the tab

Gwar [14]

12 it's adds ×÷2 ( 8÷2=4) and then add the two numbers (8&4)

5 0

3 years ago

What is the slope of the line below? Give an exact number

Maksim231197 [3]

Answer:

-2 by 1

Step-by-step explanation:

idk

4 0

3 years ago

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4th grade math help & explain please

ohaa [14]

Nothing on the rectangle is shaded, unless the camera quality is poor.

0/12

7 0

3 years ago

Which of these is a simplified form of the equation 15x + 4 = 5 + 3x + 1x? (2 points)

Mars2501 [29]

Answer:

11x=1

Step-by-step explanation:

15x+4=5+3x+1x Bring everything with an x in front of it to the left side

15x-3x-1x+4=5 Simplify the x values

11x+4=5 Bring the 4 to the right side

11x=5-4

11x=1

3 0

2 years ago