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oee [108]
3 years ago
6

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

Mathematics
1 answer:
dmitriy555 [2]3 years ago
7 0

Answer:

"If the line has a slope that is not 0, then the the line is not horizontal".

Step-by-step explanation:

The contrapositive of "If p then q" is "If not q then not p".

p=a line is horizontal

not p= a line that is not horizontal

q=the line has a slope equal to zero

not q=the line has a slope that is not zero

The equivalent statement in contrapositive form is therefore:

"If the line has a slope that is not 0, then the the line is not horizontal".

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The answer is going to be 14.125 in decimal form
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Ralph is purchasing a new gaming system for $300.00. He is trying to decide whether he wants to use cash or his credit card to p
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Using cash can help Ralph improve his credit score is just untrue in so many ways.


The answer is choice A because the statement does not justify Ralph's use of cash.

6 0
4 years ago
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A student wrote and simplified an expression for the perimeter of the rectangle. (Using the picture provided.)
Nookie1986 [14]

Answer:

It’s 10n+12

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Step-by-step explanation:

3 0
3 years ago
What does i^739 equal? explain how you found your answer.
Sophie [7]
<h3>Answer:   -i</h3>

========================================================

Explanation:

i = sqrt(-1)

Lets list out the first few powers of i

  • i^0 = 1
  • i^1 = i
  • i^2 = -1
  • i^3 = i*i^2 = i*(-1) = -i
  • i^4 = (i^2)^2 = (-1)^2 = 1

By the time we reach the fourth power, we repeat the cycle over again (since i^0 is also equal to 1). The cycle is of length 4, which means we'll divide the exponent over 4 to find the remainder. Ignore the quotient. That remainder will determine if we go for i^0, i^1, i^2 or i^3.

For example, i^5 = i^1 because 5/4 leads to a remainder 1.

Another example: i^6 = i^2 since 6/4 = 1 remainder 2

Again, we only care about the remainder to find out which bin we land on.

-------------

Turning to the question your teacher gave you, we have,

739/4 = 184 remainder 3

So i^739 = i^3 = -i

<h3>-i is the final answer</h3>

--------------

Side notes:

  • if i^a = i^b, then a-b is a multiple of 4
  • Recall that the divisibility by 4 trick involves looking at the last two digits of the number. So i^739 is identical to i^39.
4 0
3 years ago
Sally spelled 2 words incorrectly out of 20 spelling words on the test. What percent grade did Sally get on the test?
Tom [10]

Answer:

90%

Step-by-step explanation:

So Sally gets 18/20 of the questions correct then you need to make the denominator of the fraction to 100 which makes a percent. So you multiply both the numerator and denominator by 5:

90/100

which is equal to 90%

Hope this helps!

7 0
3 years ago
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