Find the word or phrases that best complete the sentence intersecting planes ___ intersect in exactly one point

Mathematics

1 answer:

mars1129 [50]3 years ago

3 0

Answer:

never

Step-by-step explanation:

Intersecting planes are planes that intersect along a given line.

To explain this better, consider the following definitions:

i. A point: This is denoted by a dot and it is a location marked on a space or a plane.

ii. A line: This is the distance between two points. It is one-dimensional.

iii. A plane: This is a two-dimensional, flat surface with no thickness formed by points and extends infinitely.

Therefore, since intersecting planes intersect along a line, it is not possible that they intersect in exactly one point given that a line is the distance between points.

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$\begin{array}{l}{5 \times(2 a-2)=a \times(a-2)} \\\\ {10 a-10=a^{2}-2 a} \\\\ {a^{2}-2 a-10 a+10=0} \\\\ {a^{2}-12 a+10=0}\end{array}$

using quadratic formula:-

$x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

$x=\frac{12 \pm \sqrt{144-40}}{2}$

$\begin{array}{l}{x=\frac{12 \pm \sqrt{144-40}}{2}} \\\\ {x=\frac{12 \pm \sqrt{104}}{2}} \\\\ {x=\frac{12 \pm 2 \sqrt{26}}{2}} \\\\ {x=6 \pm \sqrt{26}=6 \pm 5.1} \\\\ {x=10.1 \text { or } x=0.9}\end{array}$