Mathematics, 29.08.2019 13:30 ianmartin6080

Aline has a slope of - 4/5. which ordered pairs could be points on a line that is perpendicular to this line? check all that apply.
a. (-2,0) and (2,5)
b. (-4,5) and (4,-5)
c. (-3,4) and (2,0)
d. (1,-1) and (6,-5)
e. (2,-1) and (10,9)

Answers: 2

Show answers

Answers

Answer from: blink182lovgabbie

we know that

if two lines are perpendicular

then the product of their slopes is equal to minus one

m1*m2=-1

in this problem we have

$m1=-\frac{4}{5}$

the value of m2 must be equal to

$m2=-\frac{1}{m1} =-\frac{1}{(-4/5)}=\frac{5}{4}$

we know that

The formula to calculate the slope between two points is equal to

$m=\frac{(y2-y1)}{(x2-x1)}$

Find the slopes of each of ordered pairs and compare with m2

case a) $(-2,0)\ and\ (2,5)$

Substitute in the formula

$m=\frac{(5-0)}{(2+2)}$

$m=\frac{(5)}{(4)}$

The slope is equal to m2

The ordered pair case a) could be points on a line that is perpendicular to the given line

case b) $(-4,5)\ and\ (4,-5)$

Substitute in the formula

$m=\frac{(-5-5)}{(4+4)}$

$m=\frac{(-10)}{(8)}$

$m=-\frac{5}{4}$

The slope is not equal to m2

The ordered pair case b) could not be points on a line that is perpendicular to the given line

case c) $(-3,4)\ and\ (2,0)$

Substitute in the formula

$m=\frac{(0-4)}{(2+3)}$

$m=\frac{(-4)}{(5)}$

The slope is not equal to m2

The ordered pair case c) could not be points on a line that is perpendicular to the given line

case d) $(1,-1)\ and\ (6,-5)$

Substitute in the formula

$m=\frac{(-5+1)}{(6-1)}$

$m=\frac{(-4)}{(5)}$

The slope is not equal to m2

The ordered pair case d) could not be points on a line that is perpendicular to the given line

case e) $(2,-1)\ and\ (10,9)$

Substitute in the formula

$m=\frac{(9+1)}{(10-2)}$

$m=\frac{(10)}{(8)}$

$m=\frac{5}{4}$

The slope is equal to m2

The ordered pair case e) could be points on a line that is perpendicular to the given line

therefore

the answer is

$(-2,0)\ and\ (2,5)\\(2,-1)\ and\ (10,9)$

Answer from: dondre54

The points on the line are:

$\text{A}. (-2,0) and (2,5)\\\text{E}. (2,1) and (10,9)$

Step-by-step explanation:

Given information:

The slope of the line = -4/5

Now as we know that the two lines are perpendicular

So,

$m_1\times m_2=-1\\$

So, the slope of the second line is :

m_2=5/4

Now , check for the options given:

And slope $m= \frac{y_2-y_1}{x_2-x_1}$

(A) The slope of the line passing through the points (-2,0) and (2,5) is :

m=(5-0)/(2+2)

m=5/4

Hence the slope is equal to m_2 .

Similarly,

(B)The slope of the line passing through the points (-4,5) and (4,-5) is :

m=(-5-5)/(4+4)

m=-5/4

Hence the slope not is equal to m_2 .

m=(0-4)/(2+3)

m=-4/5

Hence the slope is not equal to m_2 .

(D) The slope of the line passing through the points (1,-1) and (6,5) is :

m=(-5+1)/(6-5)

m=-4/5

Hence the slope is not equal to m_2 .

(E) The slope of the line passing through the points (2,-1) and (10,9) is :

m=(9+1)/(10-2)

m=5/4

Hence the slope is equal to m_2 .

Hence, the points on the lines are:

$\text{A}. (-2,0) and (2,5)\\\text{E}. (2,1) and (10,9)$

For more information visit:

link

Answer from: Quest

step-by-step explanation:

from the graph attached below:

domain of graph is the value of x for which the given function profit function p(x) is defined.

(a) the domain represents the number of years for which the outlet will earn a profit.

range of profit function defines the lowest to highest value of profit earned.

(b) the range of this function is (0 , 160 ). for this function, the range represents the outlet's profit earned.

Answer from: Quest

I’m not sure i’m sorry

Another question on Mathematics

Mathematics, 21.06.2019 16:30

The label on the car's antifreeze container claims to protect the car between ? 40°c and 125°c. to convert celsius temperature to fahrenheit temperature, the formula is c = 5 over 9 (f ? 32). write and solve the inequality to determine the fahrenheit temperature range at which this antifreeze protects the car. ? 40 > 5 over 9 (f ? 32) > 125; ? 40 > f > 257 ? 40 < 5 over 9 (f ? 32) < 125; ? 40 < f < 257 ? 40 < 5 over 9 (f ? 32); ? 40 < f 5 over 9 (f ? 32) < 125; f < 257

Answers: 2

Answer

Mathematics, 21.06.2019 22:30

Marquise has 200 meters of fencing to build a rectangular garden. the garden's area (in square meters) as a function of the garden's width w w (in meters) is modeled by: a ( w ) = − w 2 + 1 0 0 w a(w)=−w 2 +100w what side width will produce the maximum garden area? meters

Answers: 1

Answer

Mathematics, 21.06.2019 23:00

During a wright loss challenge your friend goes from 125 pounds to 100 pounds.what was the percent weight loss

Answers: 2

Answer

Mathematics, 21.06.2019 23:20

For which pairs of functions is (f•g)(x)=12x? f(x)=3-4x and g(x)=16x-3 f(x)=6x2 and g(x)= 2/x f(x)= and g(x) = 144x f(x)=4x and g(x) =3x

Answers: 1

Answer

You know the right answer?

Aline has a slope of - 4/5. which ordered pairs could be points on a line that is perpendicular to t...