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3 years ago

The sum of a number n and 9 is greater than 20.

Mathematics

1 answer:

Serhud [2]3 years ago

7 0

Answer:

Step-by-step explanation:

n + 9 > 20

n > 20 - 9

n > 11

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4. Which of the following lines is perpendicular to y = -2X + 8?

Alenkinab [10]

For this case we have to by definition, if two lines are perpendicular then the product of its slopes is -1.

That is to say:

$m_ {1} * m_ {2} = - 1$

We have the following equation:

$y = -2x + 8$

So:

$m_ {1} = - 2$

Thus:

$m_ {2} = \frac {-1} {m_ {1}}\\m_ {2} = \frac {-1} {- 2}\\m = \frac {1}{2}$

Thus, a line perpendicular to the given line must have slope $m = \frac {1} {2}.$

Option A:

$x + 2y = 8\\2y = -x + 8\\y = - \frac {1} {2} x + 4$

It is not perpendicular!

Option B:

$x-2y = 6\\2y = x-6\\y = \frac {1} {2} x-3$

If it is perpendicular!

Option C:

$2x + y = 4\\y = -2x + 4$

It is not perpendicular!

Option D:

$2x-y = 1\\y = 2x-1$

It is not perpendicular!

The correct option is option B

ANswer:

Option B

5 0

3 years ago

The difference of the square of a number and 18 is equal to 3 times that number. Find

ololo11 [35]

Answer:

Step-by-step explanation:

To solve this, you can set up an equation as such:

x²-18= 3x

Now, rearrange this to make it an equation in standard form:

x²-3x-18=0.

Simply turn this equation into factored form:

(x-6)(x+3)= 0.

The only positive solution here is x=6.

7 0

3 years ago

Select the expression that is equal to (9x + 3) – (5z - 7)

Shkiper50 [21]

Answer:

9x+10-5z

Step-by-step explanation:

(9x + 3) – (5z - 7)

9x+3-5z + 7)

6 0

3 years ago

At LaMar’s birthday party, his parents served slices of plain, sausage, or pepperoni pizza. They also served cups of milk, orang

Anon25 [30]

There are 12 combinations possible ?

6 0

3 years ago

Read 2 more answers

Please answer this question

pochemuha

Answer:

The answer is the 3rd one or C

hope this helps:)

Step-by-step explanation:

3 0

3 years ago