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r-ruslan [8.4K]
3 years ago
5

Bobby describes two lines to Frank, telling him that beginning at point A, line #1 goes up 3 units and to the right 8 units, whi

le line #2 (also beginning at A) goes down 8 units and to the right 3 units. What can Frank conclude about the two lines?
A They are skew lines.
B They are parallel lines.
C They are perpendicular lines.
D He does not have enough information to make a valid conclusion.
Mathematics
1 answer:
rodikova [14]3 years ago
8 0

When a line changes position from one point to another, the movement is referred to as transition.

<em>Bobby does not have enough information to make a valid conclusion.</em>

The movements of the lines are given as:

<em>Line 1: 3 units up and 8 units right</em>

<em>Line 2: 8 units down and 3 units right</em>

The given information only describes the movement of both lines, but does not give details about the initial relationship between the lines.

<em>Hence, no valid conclusion can be made with the given information.</em>

Read more about lines at:

brainly.com/question/5830373

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boyakko [2]
Gross earning = $8,000
FICA tax = 8000*0.0765 = $612
Federal income tax = $1,270
Sate income tax = 8000*0.02 = $160
Voluntary deductions = $20

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Net pay = 8000-2062 = $5,938
3 0
3 years ago
A fence 6 ft high runs parallel to the wall of a house at a distance of 5 ft. Find the length of the shortest ladder that extend
Anettt [7]

Answer:

L = 15.53 ft

Step-by-step explanation:

using diagram which is attached below

now, using Pythagoras theorem

L² = b²  + (5 + x)²...............(1)

using similarity of triangle

\dfrac{x}{6}=\dfrac{5+x}{b}

b=\dfrac{5+x}{x}6

from equation (1)

L^2 = (\dfrac{5+x}{x}6)^2 + (5 + x)^2

     = (5+x)^2(1+\dfrac{36}{x^2})

\frac{\mathrm{d} L^2}{\mathrm{d} x}= 2(5+x)(1+\dfrac{36}{x^2})+(5+x)^2(\dfrac{-2\times 36}{x^3})

\frac{\mathrm{d} L^2}{\mathrm{d} x}= (5+x)(2-\dfrac{72\times 5}{x^3})

for maxima or minima

\frac{\mathrm{d} L^2}{\mathrm{d} x}=0

x = -5 and x =  ∛190  = 5.74

on second derivative 5.74 is the value which comes out to be minimal value which is the distance between the fence and ladder

now,

L² = 241.38

L = 15.53 ft

7 0
3 years ago
Dividing polynomials simplify 10c+6÷2
Allushta [10]

Answer:Final result :

 5c + 3

Step-by-step explanation:Step by step solution :

Step  1  :

           10c + 6

Simplify   ———————

              2    

Step  2  :

Pulling out like terms :

2.1     Pull out like factors :

  10c + 6  =   2 • (5c + 3)  

Final result :

 5c + 3

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Answer:

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Step-by-step explanation:

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c

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