Mathematics, 13.07.2019 08:10 haidenmoore92

Segment ab is on the line y − 4 = −5(x − 1), and segment cd is on the line y − 4 = one fifth(x − 5). which statement proves the relationship of segments ab and cd?

Answers: 2

Show answers

Answers

Answer from: rnv9d937

The slope of the gradient of the line is a number that describe both the direction and the steepness of the line. The given question they are perpendicular because they have slopes that are opposite reciprocals of -5 and one fifth. Thus option 2 is the correct option.

Given-

Equation of the line is,

y-4=-5(x-1)

What is the slope of the line?

The slope of the gradient of the line is a number that describe both the direction and the steepness of the line

Statement given in the question are,

They are perpendicular because they have slopes that are opposite reciprocals of 5 and negative one fifth.They are perpendicular because they have slopes that are opposite reciprocals of -5 and one fifth.They are parallel because they have the same slope of 5.They are parallel because they have the same slope of negative one fifth.

The standard line of equation can be given as,

(y-y_1)=m(x-x_1)

Compare the above equation with the given equation we get the of m is -5.

Thus the slope of the given line is -5. The opposite reciprocal of -5 is 1/5.

Put in the equation,we get,

$(y-4)=\dfrac{1}{5}(x-5)$

Hence, for the given question they are perpendicular because they have slopes that are opposite reciprocals of -5 and one fifth. Thus option 2 is the correct option.

Learn more about the slope of the line here;

link

Answer from: anondriap

"They are perpendicular because they have slopes that are opposite reciprocals of −5 and one fifth."

Step-by-step explanation:

These lines are both in a form called point-slope form which is

y-y_1=m(x-x_1) where m is slope and (x_1,y_1) is a point on the line.

If we determine the slopes are opposite reciprocal, then we have determine the lines are perpendicular.

y-y_1=m(x-x_1)

y − 4 = −5(x − 1), we see the m is -5.

The slope of this line is -5.

y-y_1=m(x-x_1)

y − 4 = one fifth(x − 5), we see the m is (1/5).

The opposite reciprocal of -5 is 1/5 so theses lines are perpendicular.

Answer from: Quest

i found two solutions, n = 2 • ± √3 = ± 3.4641

step-by-step explanation:

Answer from: Quest

the answer to question 1 is -8, 28.

step-by-step explanation:

Another question on Mathematics

Mathematics, 21.06.2019 15:40

Which themes are portrayed in this excerpt from leo tolstoy’s the death of ivan ilyich? praskovya fedorovna came of a good family, was not bad looking, and had some little property. ivan ilyich might have aspired to a more brilliant match, but even this was good. he had his salary, and she, he hoped, would have an equal income. she was well connected, and was a sweet, pretty, and thoroughly correct young woman. to say that ivan ilyich married because he fell in love with praskovya fedorovna and found that she sympathized with his views of life would be as incorrect as to say that he married because his social circle approved of the match. he was swayed by both these considerations: the marriage gave him personal satisfaction, and at the same time it was considered the right thing by the most highly placed of his associates. so ivan ilyich got married. conforming to social conventions criticism of a middle class lifestyle the destructive impact of loneliness struggling to face reality the necessity of companionship

Answers: 3

Answer

Mathematics, 21.06.2019 19:50

The graph shows the distance kerri drives on a trip. what is kerri's speed?

Answers: 3

Answer

Mathematics, 21.06.2019 21:00

Emily is entering a bicycle race for charity. her mother pledges $0.90 for every 0.75 mile she bikes. if emily bikes 18 miles, how much will her mother donate?

Answers: 1

Answer

Mathematics, 21.06.2019 22:30

What is the name of a polygon that has four congruent sides and theses angle measures 60,120,60,120?

Answers: 1

Answer

You know the right answer?

Segment ab is on the line y − 4 = −5(x − 1), and segment cd is on the line y − 4 = one fifth(x − 5)....

Questions