$\bf \begin{array}{lllll}
&x_1&y_1\\
% (a,b)
&({{ 5}}\quad ,&{{ 7}})
\end{array}
\\\\\\
% slope = m
slope = {{ m}}= \cfrac{rise}{run} \implies \cfrac{7}{2}
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-7=\cfrac{7}{2}(x-5)\implies y-7=\cfrac{7}{2}x-\cfrac{35}{2}
\\\\\\
y=\cfrac{7}{2}x-\cfrac{35}{2}+7\implies \stackrel{standard~form}{-\cfrac{7}{2}x+y=-\cfrac{21}{2}}$

3 0

3 years ago

Which statement best describes how to determine whether f(x) = x3 + 5x + 1 is an even function?

kvasek [131]

Answer: Determine whether (–x)3 + 5(–x) + 1 is equivalent to x3 + 5x + 1.

To determine if a function is even, we need to check if f(-x)=f(x).

3 0

2 years ago

-9x2 + 13x – 1=0<br><br> I need 3 answers, pls help me:)

kifflom [539]

The answer to this question is x = 13/9 = 1.444

5 0

3 years ago

The volume of 2 spheres have a ratio of 27:125. what is the ratio of their radii

Citrus2011 [14]

The volume is scale factor³
Take the square root of the volume ratio

$\sqrt{ \frac{27}{125} }$ which is
$\frac{ \sqrt{27} }{ \sqrt{125} }$

$\frac{3}{5}$

The ratio of their radii is 3 : 5

3 0

3 years ago

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