All categories

3 years ago

egment AB falls on line 2x − 4y = 8. Segment CD falls on line 4x + 2y = 8. What is true about segments AB and CD?

Mathematics

1 answer:

jolli1 [7]3 years ago

8 0

Answer:

The line segments AB and CD are perpendicular to each other.

Step-by-step explanation:

Segment AB falls on line 2x − 4y = 8.

Rearranging the equation into slope-intercept form we get, ............. (1)

Therefore, slope of the line segment AB is

Now, the segment CD falls on line 4x + 2y = 8.

Rearranging the equation into slope-intercept form we get, ............. (2)

Therefore, the slope of the line segment CD is, N = - 2

So, M × N =

Hence, we can conclude that the line segments AB and CD are perpendicular to each other

You might be interested in

Why is every prime number greater than 2 an odd number?

DanielleElmas [232]

Every prime greater than 2 is oddNo even number greater than 2 is prime

5 0

3 years ago

Just find the figure of the rectangle plss

AnnZ [28]

Answer:

x= 21

y= 3

z= 21

Step-by-step explanation:

Let the center be O,

=> Triangle AOD is an Isosceles triangle so AO≅DO, "21 = x"

=> Line AC is divided in two equal parts by the center so if AO= 21 then

7y = 21, and thus "y = 3"

=> BOC is also an Isosceles triangle so CO ≅ BO, if CO = 21 (7y → 7*3) then so will be BO. Therefore "z = 21"

4 0

3 years ago

Solve the equation 3/y = 4/5

netineya [11]

Step-by-step explanation:

<u>Step 1: Cross Multiply</u>

$\frac{3}{y} = \frac{4}{5}$

$5(3) = 4(y)$

$15 = 4y$

<u>Step 2: Divide both sides by 4</u>

$15 / 4 = 4y / 4$

$3.75 = y$

Answer: $y = 3.75$

4 0

3 years ago

Read 2 more answers

NEED HELP ASAP

Lostsunrise [7]

Answer:

0.09

step by step explanation

7 0

2 years ago

Use the rational root theorem to list all possible rational roots for the equation.

Alik [6]

Answer:

The possible rational roots are

$\pm 1, \pm 2,\pm3,\pm6,\pm \frac{1}{3},\pm \frac{2}{3}$

Step-by-step explanation:

We have been given the equation 3x^3+9x-6=0 and we have to list all possible rational roots by rational root theorem.

The factors of constant term are $1, 2, 3,6$

The factors of leading coefficient are $1,3,$

From ration root theorem, the possible roots are the ratio of the factors of the constant term and the factors of the leading coefficient. We include both positive as well as negative, hence we must include plus minus.

$\pm\frac{1,2,3,6}{1,3}\\\\ =\pm 1, \pm 2,\pm3,\pm6,\pm \frac{1}{3},\pm \frac{2}{3}$

5 0

2 years ago

Read 2 more answers