Determine if the lines are parallel, perpendicular, or neither 4x+5y=10 and 5x -4y= 28

1 answer:

6 0

To do this, we will need to compare the slopes and the y int. So we will put each equation in y = mx + b form, where m will be the slope and b will be the y int..

4x + 5y = 10
5y = -4x + 10
y = -4/5x + 2.....the slope here is -4/5...the y int is 2

5x - 4y = 28
-4y = -5x + 28
y = 5/4x - 7...the slope here is 5/4...and the y int is -7

for the lines to be parallel, they would need the same slope and different y intercepts. So, as u can see, they are not parallel because they do not have the same slope.

for the lines to be perpendicular, the lines would have to have negative reciprocal slopes. They do....u have perpendicular lines. To find the negative reciprocal of a number, u flip the number and change the sign. One line had a slope of -4/5....the negative reciprocal is : flip the number making it -5/4....change the sign, making it 5/4...which is the slope of the other line...so these slopes are negative reciprocals.

so u have perpendicular lines

You might be interested in

You are putting a rectangular hot tub on your back porch. It is 6 feet long, 5 feet wide, and 3 feet deep. How much will it cost

igor_vitrenko [27]

Answer:

$Cost=\$3.66234\approx \$3.67$

Step-by-step explanation:

$Height\ of\ tub=3\ feet\\\\Length\ of\ tub=6\ feet\\\\width\ of\ tub=5\ feet\\\\Volume=Length\times Width\times Height\\\\Volume=6\times 5\times 3=90\ feet^3$

$1\ feet^3=7.48052\ gallons\\\\90\ feet^3=90\times 7.48052=673.2468\ gallons$

$cost\ of\ 1000\ gallons=\$5\\\\cost\ of\ 1\ gallons=\$ \frac{5}{1000}\\\\cost\ of\ 673.2468\ gallons=\$ \frac{5}{1000}\times 673.2468=\$3.366234$

5 0

3 years ago

Two non-simultaneous events have an equal likelihood of occurring (50%). If the events are independent of each other, what is th

BARSIC [14]

There are 4 possibilities:

1) No event happens
2) event A happens, not event B
3) event B happens, not event A
4) both events happen

seeing as there is a 50% chance of either event happening, I would assume that all 4 possibilities have an equal chance of happening

so if there are 4 events, then each one is 25% likely.

So the probability if them both occurring is 25%

I think

7 0

3 years ago

Read 2 more answers

After a storm, two street lights with the same length are leaning against each

Ray Of Light [21]

Answer:

c = 4.79 feet

Step-by-step explanation:

Given question is incomplete without a picture; find the question with the attachment.

Two poles AD and DB of same length are leaning against each other.

Distance between the poles (AB) = 45 feet

m(∠ADB) = 180°- (60 + 50)°