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3 years ago

When all the variables cancel out in an equation, how do you know if there are no solutions or infinite solutions?

1 answer:

4 0

If a number equals the same number, there are infinite solutions
Example: 5=5, which is true, so there are infinite solutions
If a number equals a different number, there are no solutions
Example: 5=2, which isn’t true

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Prove that lines 3x-4y=12 and 3y=12-4x are perpendicular.

Svetllana [295]

Answer:

see explanation

Step-by-step explanation:

If 2 lines are perpendicular then the product of their slopes equals - 1

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Consider the given equations

3x - 4y = 12 ( subtract 3x from both sides )

- 4y = - 3x + 12 ( divide terms by - 4 )

y = $\frac{3}{4}$ x - 3 ← in slope- intercept form

with slope m = $\frac{3}{4}$

3y = 12 - 4x = - 4x + 12 ( divide terms by 3 )

y = - $\frac{4}{3}$ x + 4 ← in slope- intercept form

with slope m = - $\frac{4}{3}$

Then

$\frac{3}{4}$ × - $\frac{4}{3}$ = - 1

Since the product of their slopes = - 1 then the lines are perpendicular

3 0

3 years ago

A number, one-fifth of that number, and one-sixth of that number are added. the result is 82. what is the original number?

rusak2 [61]

X + .2x + .(1/6) x = 82
x = 60

5 0

3 years ago

Jason earns 5% commission as a salesperson. He sold a lawn mower that cost $90. How

mr Goodwill [35]

Jason earns $4.50 as commission

5 0

3 years ago

Aaron needs a total of $410 to buy a new bicycle. He has $35 saved. He earns $15 each week delivering newspapers. How many weeks

Ostrovityanka [42]

35+15x=410
410-35=375
375/15=25
He will need to work 25 weeks.

3 0

3 years ago

Use algebra tiles to find the difference. Let one yellow tile equal +1 and one red tile equal –1. 12 – (–11)

Anvisha [2.4K]

Answer:

its 23

Step-by-step explanation:

its 12+11 because two negatives make a positive

8 0

2 years ago