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3 years ago

Why are two lines with the same y intercept are perpendicular?

Mathematics

1 answer:

ELEN [110]3 years ago

8 0

The y-intercept doesn't really play a role in defining what a parallel or perpendicular line is it's just the point @ which the line crosses the y-axis (or the starting point), but in due case It might mean that they have the opposite slope but same y-intercept which is possible (see 1st picture as an EX)

If you want to know why 2 lines are perpendicular or parallel you have to look @ the slope

Perpendicular: The slope is the negative reciprocal of the slope of the original equation (other line slope) what this means it that you flip the numerator and denominator and make it negative (or positive, depending if it's already negative)

Parallel: The slope is the same (see 2nd picture as an EX).

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The graph of the piecewise function f(x) is shown. 1 f(x)

Tema [17]

Answer:

In a word processing document or on a separate piece of paper, use the guide to construct a two-column proof proving that lines l and m are parallel.

6 0

3 years ago

The produce market is having a sale on grapes and oranges. A customer found the following two receipts in her cart as she was wa

AleksandrR [38]

Answer:

Step-by-step explanation:

From the first receipt:

2 pounds of grapes + 4 pounds of oranges = 10.70 which, in an algebraic equation, looks like this:

2g + 4o = 10.70

From the second receipt:

3 pounds of grapes + 2 pounds of oranges = 9.65 which, in an algebraic equation, looks like this:

3g + 2o = 9.65

Putting those together into a system and solving using the elimination method:

2g + 4o = 10.7

3g + 2o = 9.65

I am going to eliminate the oranges first since it's easier to do that. I will multiply the second equation by -2 to get a new system:

2g + 4o = 10.7

-6g - 4o = -19.3

As you can see, the oranges are eliminated because 4o - 4o = 0o. That leaves us with only the grapes:

-4g = -8.6 so

g = 2.15

Grapes cost $2.15 per pound. Now sub that into either one of the original equations to solve for the cost per pound of oranges:

2(2.15) + 4o = 10.7 and

4.3 + 4o = 10.7 and

4o = 6.4 so

o = 1.60

Oranges cost $1.60 per pound. That is choice D from your list.

5 0

3 years ago

Devin has a snake. The snake eats one mouse every week which Devin purchases from the local pet store. If m represents the cost

n200080 [17]

Assuming it's not a leap year,
then there are 365 days a year.
This is about 52 weeks.
The cost of a mouse is 52m

4 0

3 years ago

WILL MARK BRAINLIEST!! Given ΔABC : ΔDEF, find x. 10 14 27 12

lilavasa [31]

Answer:

x=12

Step-by-step explanation:

If the triangles are similar:

x/8=18/12

x/8=1.5

x=12

7 0

3 years ago

Read 2 more answers

More help is appreciated:))

Lera25 [3.4K]

Step-by-step explanation:

You need to translate all the points to the right 3 and up 6

Therefore, you are going to use this formula:

(x,y) ⇾ (x + 3, y + 6)

This is the same format as the previous problem, if you have noticed.

Using this, plug in each coordinate, starting with P (5, -1)

(5, -1) ⇾ ( 5 + 3, -1 + 6)

(5, -1) ⇾ ( 8, 5 )

P $^{1}$ = (8, 5)

Now point Q, (0, 8)

(0, 8) ⇾ (0 + 3, 8 + 6)

(0, 8) ⇾ ( 3, 14 )

Q $^{1}$ = (3, 14)

And last but not least, the point R, (7, 5)

(7, 5) ⇾ (7 + 3, 5 + 6)

(7, 5) ⇾ ( 10, 11 )

R $^{1}$ = (10, 11)

Therefore, P $^{1}$ = (8, 5), Q $^{1}$ = (3, 14), R $^{1}$ = (10, 11) is your answer. This is the 4th option or D.

Hope this for you to understand this a bit more! =D

6 0

3 years ago