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zubka84 [21]
2 years ago
7

A is the point (8,3) and B is the point (12, 1).

Mathematics
1 answer:
professor190 [17]2 years ago
6 0

Answer:

y = 2x

Step-by-step explanation:

calculate the slope of AB using the slope formula

m = \frac{y_{2} -y_{1} }{x_{2}-x_{1}  }

with (x₁, y₁ ) = A (8, 3) and (x₂, y₂ ) = B (12, 1 )

m_{AB} = \frac{1-3}{12-8} = \frac{-2}{4} = - \frac{1}{2}

given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{-\frac{1}{2} } = 2

the equation of a line passing through the origin (0, 0 ) is

y = mx

here m = 2 , then

y = 2x ← equation of perpendicular line

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Calculate the number in the middle of 11 and 24
lutik1710 [3]

Answer:

17.5

Step-by-step explanation:

11 +  24 = 35 /2

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4 years ago
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3 years ago
Mark rolls 2 fair dice and adds the results from each.
Natali5045456 [20]

Answer:

P ( X > 5 ) = 72,2 %

Step-by-step explanation:

The probability of success ( outcomes bigger than 5 )

If dice  1  outcome is 6 no matter wich outcome we get from dice 2 all events are successful, the we have 6 outcomes

If dice 1 outcome is 5  we also have  6 outcomes

If dice 1  outcomes is 4 we have 5 positive outcomes

If dice 1  outcome is 3  we have 4 positive outcomes

If dice 1  outcome is 2  we have 3 positive outcomes

if dice 1  outcome is 1  we have 2 positive outcomes

Total evaluating dice 1: positive outcomes 26

We will get the sames results analysing  dice 2 then we have a total of

52 successful events

And total numbers of outcomes is 36 + 36 = 72

Then

P ( X > 5 ) = 52/72  

P ( X > 5 ) = 0,722    

P ( X > 5 ) = 72,2 %

7 0
4 years ago
What is the slope of a line that is perpendicular to 3x+2y=14
djyliett [7]

Answer:

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Step-by-step explanation:

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3 years ago
The length of a living room is 12 feet and its width is 1012 feet. The length of the room is being expanded by x feet. Choose an
Ivanshal [37]

Answer:

Option C. 10.5(12 + x) square feet

Option E. (126 + 10.5x) square feet

Step-by-step explanation:

step 1

Find the area of the original living room

we know that

The area of the original living room is equal to

A=LW

we have

L=12\ ft\\W=10\frac{1}{2}\ ft=10.5\ ft

substitute

A=(12)(10.5)=126\ ft^2

step 2

Find the new area of the living room

The length of the room is being expanded by x feet

so

we have

L=(12+x)\ ft\\W=10.5\ ft

The new area is

A=10.5(12+x)\ ft^2

The expanded form of the expression is

Apply distributive property

A=10.5(12)+10.5(x)\\A=(126+10.5x)\ ft^2

6 0
4 years ago
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