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Dovator [93]
3 years ago
11

10.(06.01 LC)

Mathematics
1 answer:
storchak [24]3 years ago
8 0
Need more explanation
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The given line segment has a midpoint at (3, 1). What is the equation, in slope-intercept form, of the perpendicular bisector of
viva [34]

Answer:

Step-by-step explanation:

I think the attached photo supports for your question

Here is my anser:

We need to find the slope of the of and from the graph, we see that if x increases from 2 to 4, y decreases from 4 to -2.  Thus, the slope of the blue line is : \frac{-2-4}{4-2} = -3

But the slope of the perpend. bisector of the blue line is the negative reciprocal of -3, or  m= 1/3.

Let's find the slope-intercept form of this bisector.  We need to determine b in y=mx+b.  Referring to the midpoint of the blue line, x= 3; y= 1; and m=1/3.  Then

y=mx+b becomes 1=(1/3)(3) + b.  Solving for b:  1=1+b.  Then b=0.

Thus, the equation of the perpendicular bisector of the blue line through (3,1) is  y=mx + b, or y=(1/3)x + 0, or y=x/3.

9 0
3 years ago
Read 2 more answers
Please help i need help
LiRa [457]

Answer:

a=9.4 b=12.0

Step-by-step explanation:

You need to use Pythagorus

So for a:

8²+5²=89    a=√89=9.4

And b:

17²-12²=145 b=√145=12.0

8 0
3 years ago
Before every​ flight, the pilot must verify that the total weight of the load is less than the maximum allowable load for the ai
sashaice [31]

The probability that the aircraft is overloaded is 0.6141; since this is a greater than 50% chance, the pilot should either reduce the number of passengers on the plane or require them to reduce their baggage.

The z-score for this is given by

z = (X-μ)/σ = (169-180.2)/38 = -11.2/38 = -0.29.

Using a z-table (http://www.z-table.com) we see that the probability of weights being less than this (the area to the left of this score) is 0.3859; to find the probability that the weight is greater than this (to the right), we subtract from 1:

1-0.3859 = 0.6141.

5 0
3 years ago
The cost of a taxi ride is represented by the function c(m)=2m+4, where m is the number of miles traveled. What is the cost per
galina1969 [7]

Answer:

cost per mile = $2.

Step-by-step explanation:

Given the cost function, c(m) = 2m + 4,

Where the m represents the number of miles traveled, and $2 is the cost per mile of the cab. The $4 represents the flat rate, a set fee, or the initial value.

Therefore, the cost per mile of the cab is $2.  

3 0
3 years ago
Find a recurrence relation for the number of strictly increasing sequences of positive integers that have 1 as their first term
exis [7]

Answer:

Step-by-step explanation:

(1)

a_i = a_{i-1} + 1

(2)

The initial condition is a_1 = 1

(3)

Infinitely many.

7 0
3 years ago
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