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Cerrena [4.2K]
3 years ago
7

What is the equation of a line that passes through the point (4, 2) and is perpendicular to the line

Mathematics
1 answer:
algol [13]3 years ago
5 0

Answer:

y = -1/5 x + 14/5

Step-by-step explanation:

Take slope of line and because it perpendicular, you flip it and change the sign.

5 ---> -1/5

Use equation of the line: y - y1 = m ( x - x1 )

y - 2 = -1/5 ( x - 4 )

y - 2 = -1/5 x + 4/5

y = -1/5 x + 14/5

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Geometry math question no Guessing and Please show work thank you
nataly862011 [7]

If two lines are parallel and a transversal passes through them , then alternate interior angles are equal.

So here we have

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3 years ago
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cluponka [151]

Answer:

- \frac{2[1 - x]}{3}  = g[f(x)] \\  \\  \frac{3x}{2 - x}  = f[g(x)]

Step-by-step explanation:

They are not.

For the <em>g[f(x)]</em> function, you substitute ³/ₓ ₋ ₁ from the <em>f</em><em>(</em><em>x</em><em>)</em><em> </em>function in for <em>x</em><em> </em>in the <em>g</em><em>(</em><em>x</em><em>)</em><em> </em>function to get this:

\frac{2}{ \frac{3}{x - 1}}

Then, you bring <em>x</em><em> </em><em>-</em><em> </em><em>1</em><em> </em>to the top while changing the expression to its conjugate [same expressions with opposite symbols]:

- \frac{2[1 - x]}{3}

You could also do this [attaching another negative would make that positive].

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\frac{3}{ \frac{2}{x} - 1}

Now, if you look closely, ²/ₓ is written as 2x⁻¹, and according to the Negative Exponential Rule, you bring the denominator to the numerator while ALTERING THE INTEGER SYMBOL FROM NEGATIVE TO POSITIVE:

\frac{3x}{2 - x}

When this happens, <em>x</em><em> </em>leaves the <em>two</em> and gets attached to the <em>three</em><em>,</em><em> </em>and 1 gets an <em>x</em><em> </em>attached to it.

I am joyous to assist you anytime.

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