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kotegsom [21]
3 years ago
8

Indicate the equation of the given line in standard form. The line that is the perpendicular bisector of the segment whose endpo

ints are R(-1, 6) and S(5, 5)
Mathematics
2 answers:
adell [148]3 years ago
7 0
Equation of the line joining the points R(-1,6) and S(5,5)
Natasha2012 [34]3 years ago
3 0

Answer:

Step-by-step explanation:

We are given that a line that is perpendicular bisector of  the line whose end points are R(-1,6) and S(5,5).

To find the equation of perpendicular line then we have find the slope of line and a point through which perpendicular line is  passing .

To find the point through which perpendicular line is passing then we have find the mid point of the line joining points R(-1,6) and S(5,5)

Mid point formula: The coordinates of mid point

x=\frac{x_1+x_2}{2},y=\frac{y_1+y_2}{2}

Let P is the mid point of the line joining the points R (-1,6) and S(5,5)

Therefore, the coordinates of mid point P by using mid point formula

x=\frac{-1+5}{2},y=\frac{6+5}{2}

x=2,y=\frac{11}{2}

The coordinates of mid point P(2,\frac{11}{2}) of the line joining points  R and S

Slope of line RS,m_1=\frac{y_2-y_1}{x_2-x_1}

y_1=6,y_2=5,x_1=-1,x_2=5

Slope of line RS,m_1=\frac{5-6}{5+1}=-\frac{1}{6}

Slope of perpendicular line is opposite reciprocal of the line RS

Hence, the slope of perpendicular line m_2=-\frac{1}{m_1}

Slope of perpendicular line,m_2=6

The perpendicular line is passing through the mid point P(2,\frac{11}{2}) because it bisect the line RS at mid point P.

The equation of perpendicular line passing through the point P with slope 6

y-\frac{11}{2}=6(x-2)

The equation of a line which is perpendicular to RS

\frac{2y-11}{2}=6x-12

The equation of  line which is perpendicular to the line RS is given by

2y-11=12x-24

The  equation of a line which is  perpendicular to the  line RS

12x-2y=24-11

Hence, the required equation of a line which is perpendicular to the line RS

12x-2y=13

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Step-by-step explanation:

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nalin [4]

Answer:

<em>290.5 square miles</em>

Step-by-step explanation:

Consider splitting this figure into two mini rectangles and a triangle, each of given lengths;

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3 years ago
The length of time to complete a door assembly on an automobile factory assembly line is normally distributed with a mean of 6.7
hram777 [196]
We need to work out the z-value of each question to work out the probability

Question a)

We have
X = 5 minutes
The mean, μ = 6.7 minutes
Standard deviation, σ = 2.2 minutes
z-score = (X - μ) / σ = (5 - 6.7) / 2.2 = -0.77

We want to find the probability of z < -0.77 so we read the z-table for the value of z on the left of -0.77 we have the probability P(z< -0.77) = 0.2206

The table is attached in picture 1 below

The probability of assembly time less than 5 minutes is 0.2206 = 22.06%

Question b)

z-score = (10-5) / 2.2 = 2.27

Reading the z-table for P(z<2.27) = 0.9884
The table reading is shown in the second picture below

The probability the assembly time will be less than 10 minutes is 0.9884

We can use this information to find the probability of the assembly time will be more than 10 minutes  = 1 - 0.9884 = 0.0116 = 1.16%

Question c)

The value of z between 5 minutes and 10 minutes is

P(-0.77<z<2.27) = P(z<2.27) - P(z< -0.77)
P(-0.77<z<2.27) = 0.9884 - 0.2206 = 0.7678 = 76.78%


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3 years ago
Write the conversion factor for converting meters to centimeters
posledela
Since we are converting meters to centimeters we are converting large to small.

Expect the answer to be a larger number.  Here are some example of large to small:
2 weeks (larger unit) = 14 days (smaller unit)   14 is larger than 2
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Since there are 100cm in a meter, when we change meters to cm, we need a bigger number.  The conversion factor is 100 and should be used as a multiplier.
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frutty [35]

Answer:

x = 28/3

Step-by-step explanation:

3x - 1 = 27

Add 1 to each side

3x - 1+1 = 27+1

3x = 28

Divide by 3

3x/3 = 28/3

x = 28/3

6 0
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