URGENT

Mathematics

2 answers:

shusha [124]2 years ago

8 0

Answer:

the last statement is true

Step-by-step explanation:

the equation is in the form mx+c which means it is a stright line and will only cross the x axis once

Veronika [31]2 years ago

4 0

Answer:

The equation represents a one-to-one function.

Step-by-step explanation:

y = 10x + 2

is a line with a slope of 10

it is a function since each x value has one and only one y value

This passes the vertical line test

It is one-to-one

since each y value has one and only one x value

This passes the horizontal line test

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Find the y-coordinates of the points that are 10 units away from the point (-7, 6) that have an x-coordinate of 1.

prohojiy [21]

$\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-7}~,~\stackrel{y_1}{6})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{y})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ 10=\sqrt{[1-(-7)]^2+[y-6]^2}\implies 10^2=[1-(-7)]^2+[y-6]^2 \\\\\\ 100=(1+7)^2+(y-6)(y-6)\implies 100=8^2+\stackrel{F~O~I~L}{(y^2-12y+36)} \\\\\\ 100=64+36+y^2-12y\implies 100=100+y^2-12y \\\\\\ 0=y^2-12y\implies 0=y(y-12)\implies y= \begin{cases} 0\\ 12 \end{cases}$