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3 years ago

Define the following in your own words. Please do not copy and paste of the internet. Thank you in advance

Mathematics

1 answer:

bulgar [2K]3 years ago

3 0

Answer:

Perpendicular bisector - A line that bisects another line into two equal halves so that four right angles are created.

Cylinder - A 3D solid with circles as its bases.

Plane - A flat, 2D surface that extends infinitely.

Regular Polygon - A polygon where all angles and all sides are equal (ex. square, pentagon, triangle).

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Answer

Sol: The correct answer is b. three planes that contain point B are ABD, AEF and DHF.

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3 years ago

Read 2 more answers

X^-2+4x^-1+3=0 solve by making appropriate substitution

Alex

ANSWER

$x = - 1 \: or \: x = - \frac{1}{ 3}$

EXPLANATION

The given equation is:

${x}^{ - 2} + 4 {x}^{ - 1} + 3 = 0$

Recall that:

${a}^{ - m} = \frac{1}{ {a}^{m} }$

$\frac{1}{ {x}^{2} } + \frac{4}{x} + 3 = 0$

${( \frac{1}{x} )}^{2} + 4( \frac{1}{x} ) + 3 = 0$

Let

$u = \frac{1}{x}$

Our equation then becomes:

${u}^{2} + 4u + 3 = 0$

The factors of 3 that add up to 4 are:

${u}^{2} + 3u + u + 3$

$u(u + 3) + 1(u + 3) = 0$

$(u + 1)(u + 3) = 0$

$u + 1 = 0 \: or \: u + 3 = 0$

$u = - 1 \: or \: u = - 3$

This implies that:

$\frac{1}{x} = - 1 \: or \: \frac{1}{x} = - 3$

$x = - 1 \: or \: x = - \frac{1}{ 3}$

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3 years ago