# Find the equation for the plane through the points upper p 0 left parenthesis negative 2 comma negative 5 comma negative 4 right parenthesis​, upper q 0 left parenthesis 5 comma 1 comma negative 4 right parenthesis​, and upper r 0 left parenthesis negative 1 comma 2 comma 5 right parenthesis.

2 months ago

## Solution 1

Guest #10085
2 months ago
We can suppose the equation of the plane is in the form ...
ax +by +cz = 1
By using the given point coordinates for x, y, and z, we end up with three equations in 3 unknowns. These can be described by the augmented matrix ...

Putting this in reduced row-echelon form, we find
a = 54/35
b = -63/35
c = 43/35

The equation of the plane through is ...
54x -63y +43z = 35

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### What is probability?

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

It is given that:

A pair of two distinct dice are rolled six times. suppose none of the ordered pairs of values (1, 5), (2, 6), (3, 4), (5, 5), (5, 3), (6, 1), (6, 2) occur.

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Solution 2
But them in order of add them all up i guess
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