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Valentin [98]
3 years ago
6

Given the statement "If a line is horizontal, then it has slope equal to zero,” what is its contrapositive? If a line is horizon

tal, then it has zero slope. If a line has zero slope, then it is a horizontal line. If a line is not horizontal, then it does not have zero slope. If a line does not have zero slope, then it is not a horizontal line.
Mathematics
2 answers:
DIA [1.3K]3 years ago
8 0

Answer:

the last option is correct

Step-by-step explanation:

If a line does not have zero slope, then it is not a horizontal line.

givi [52]3 years ago
7 0

Contrapositive are the statements in which we switch the hypothesis and the conclusion of the statement and then we take the negation of both.

Here the hypothesis is " A line is horizontal"

And the conclusion is " slope equal to zero"

In order to make the contrapositive statement we switch the hypothesis and conclusion and then take negation.

Therefore, the contrapositive statement is given by

If a line does not have zero slope, then it is not a horizontal line.

Last option is correct.

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2abc - 3ab = -30? if a =2, b = -3 and c= 4
velikii [3]

Is your question true or false?

2abc - 3ab = -30? if a =2, b = -3 and c= 4

plug in

2(2)(-3)(4) - 3(2)(-3) = -30

Simplify

-48 + 18 = -30

-30 = -30

Both sides are equal so

It's true.


6 0
3 years ago
Help. also explain :) please
Anuta_ua [19.1K]
The answer is £140

First you find 20% of 1200 (which is basically 20 times 12) which gives you £240.

You add £240 to £1200 which is £1440

Then you take £300 off £1440 since he already paid the deposit.

That leaves you with £1140

1140 divided by 10 is 114
5 0
3 years ago
Write a formula that will yield the nth term of the sequence: 3,-2,-7,-12
RUDIKE [14]

Answer:

-5n + 8

Step-by-step explanation:

<u>1. What is the difference?</u>

  The sequence goes down by 5. This means that the formula will have -5n in it.

<u>2. Work out the term before the first term.</u>

    The first term is 3, and we know that the sequence goes up by 5. So, to get the term before 3 we would add 5.

3 + 5 = 8   Remember, this is positive 8. (+8)

<u>3. Put that term at the end of the equation. </u>

   We have -5n already and we just worked out the term before the first one which is positive 8 - so put that at the end of the equation.

-5n + 8  This is our answer!

Just to prove it works:

<em>Substitute:   n = term</em>

Lets see if we can get the 3rd term which is -7. (n = 3)

-5(3) + 8

-15 + 8 = -7

See, it works!

8 0
3 years ago
QUICK What is the solution to this system of equations? 3.2 x + 0.5 y = 4.2. Negative 1.6 x minus 0.5 y = 3.4.
8_murik_8 [283]

Answer:

The solution is x=4.75  and   y = -22

Step-by-step explanation:

To find the solution to the system of equations, we will follow the steps below:

3.2x + 0.5y = 4.2 --------------------------------------------------------------------------(1)

-1.6x -0.5y = 3.4 ----------------------------------------------------------------------------(2)

add equation (1) and equation (2)

1.6x =7.6

Divide both-side of the equation by 1.6 to get the value of x

1.6x /1.6 =7.6/1.6

x =4.75

substitute x = 4.75 into equation (1) and solve for y

3.2(4.75) + 0.5y = 4.2

15.2 + 0.5y = 4.2

subtract 15.2 from both-side of the equation

15.2 - 15.2 + 0.5y = 4.2-15.2

0.5y = -11

Divide both-side of the equation by 0.5

0.5y/0.5 = -11/0.5

y = -22

The solution is x=4.75  and   y = -22

7 0
3 years ago
What is the product 3x^5(2x^2 +4x+1)
juin [17]

Answer:

6x^7 + 12x^6 + 3x^5

Step-by-step explanation:

Simplify the expression.

5 0
3 years ago
Read 2 more answers
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