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xz_007 [3.2K]
3 years ago
5

-7 as a rational number in the form p/q

Mathematics
1 answer:
MariettaO [177]3 years ago
8 0

Answer:

-7/1

This is your answer

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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
At the movie theatre, child admission is $ 5.90 and adult admission is $ 9.00 . On Monday, 153 tickets were sold for a total sal
Dmitrij [34]

Answer:

1160.3


Step by step explanation:

1169.30-9.00


6 0
3 years ago
Solve 6 over x minus 3 equals 3 over x for x and determine if the solution is extraneous or not
Natali5045456 [20]

Answer:

<em>x = 1</em>

This is the equation that I interpreted:

6/(x) - 3 = 3/(x)

I have never worked with determining extraneous equations before, so I cannot answer the second part.

8 0
3 years ago
Find the sum of the first 100 terms of the sequence below:<br> -19, -15, -11, -7, -3, ...<br> S100
ch4aika [34]

Answer:

17900

Step-by-step explanation:

First term a = -19

common difference d = -15-(-19) = 4

number of terms, n = 100

sum of first 100 terms,

n/2(2a+(n-1)d)

= 100/2(2×(-19)+(100-1)4)

= 50×(-38+99×4)

= 50×358

= 17900

5 0
3 years ago
Find the unit price of 3 cans of cat food for $0.85​
andrey2020 [161]

Answer:

$0.28

Step-by-step explanation:

8 0
3 years ago
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