How do u show that these 2 lines are parallel L is y=3x-2 L*2 is 3y-9x+5=0

Mathematics

1 answer:

DIA [1.3K]3 years ago

4 0

Answer:

If two lines are parallel, then they have the same gradient.

Step-by-step explanation:

L is y=3x-2

L*2 is 3y-9x+5=0

The gradient for the first equation is 3

We need to rearrange the second equation and see if it has the same gradient as the first equation.

L*2 is 3y-9x+5=0

3y = 9x - 5

L*2 y = 3x - 5/3

As you can see, once you rearrange and simplify the equation, the second line has the same gradient as the first equation.

So that means these two lines are parallel

You might be interested in

Joe went on holiday to Spain.

Hunter-Best [27]

Answers:

a. £2,090
b. My answer would be less because my total in euros would be divided by a greater number when converting euros to pounds.

Work for part a:

Apartment: 560•3= 1680 euros

Car: 20.16•15= 302.4 euros

1680+302.4=1982.4

1982.4/1.12 = £x/1

1982.4 / 1.12= £1,770

£1,770 + £320 = £2,090 total

Work for part b:
Example:
(instead of 1.12 I put 2 to see what would happen with a greater number)
1982.4 / 2 = 991.2

991.2 is less than 1,770 (the answer I got with 1.12)

Let me know if you need any clarification! :)

7 0

3 years ago

Solve the formula for the indicated variable. k=g-d/c for g

Murrr4er [49]

Just like any other variable, we complete the same process

$k = g - \frac{d}{c} \\ k + \frac{d}{c} = g \\ \frac{kc + d}{c} = g \\$
Now we can test it, let's say k=4, d=6, and c=2, let's find the value of g
$4 = g - \frac{6}{2} \\ 4 + 3 = g \\ 7= g$

OR

$\frac{kc + d}{c} = g \\ \\ \frac{(4 \times 2) + (6)}{(2)} = g \\ \frac{14}{2} = g \\ g = 7$

8 0

3 years ago

Read 2 more answers

What is the number whose 4/5 is 144

Savatey [412]

We want 4/5 of a number to be 144. This means that

$\dfrac{4}{5} \cdot x = 144$