Answer:

Step-by-step explanation:
Let the equation of the line be
where, 'm' is its slope and
is a point on it.
Given:
The equation of a known line is:

A point on the unknown line is:

Both the lines are perpendicular to each other.
Now, the slope of the known line is given by the coefficient of 'x'. Therefore, the slope of the known line is 
When two lines are perpendicular, the product of their slopes is equal to -1.
Therefore,

Therefore, the equation of the unknown line is determined by plugging in all the given values. This gives,

The equation of a line perpendicular to the given line and passing through (4, -6) is
.
Answer:
124984638540
Step-by-step explanation:
just use a calculator
Answer:
The probability it will land on green every time is
.
Step-by-step explanation:
We are given that a spinner is used for which it is equally probable that the pointer will land on any one of six regions. Three of the regions are colored red, two are colored green, and one is colored yellow.
The pointer is spun three times.
<u>As we know that the probability of an event is described as;</u>
Probability of an event =
Here, the favorable outcome is that the spinner will land on green every time.
So, the number of green regions = 2
Total number of regions = 3(red) + 2(green) + 1(yellow) = 6 regions
<em>Now, the probability it will land on green every time is given by;</em>
Probability =
=
= 
Hence, the probability it will land on green every time is
.
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