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Lesechka [4]
3 years ago
6

Line d has a slope of –7 4 . Line e is perpendicular to d . What is the slope of line e ? Simplify your answer and write it as a

proper fraction, improper fraction, or integer.
Mathematics
1 answer:
Anna [14]3 years ago
4 0

Answer:

4/7

Step-by-step explanation:

If the slope of line d is -7/4, then the slope of a perpendicular is 4/7.

Given a slope, to find the slope of a perpendicular, flip the fraction and change the sign.

Flip -7/4 to get -4/7. Then change the sign of -4/7 to get 4/7.

Answer: 4/7

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At a competition with 7 runners, medals are awarded for first, second, and
il63 [147K]

Answer:

Option A - Permutation; number of ways = 210

Step-by-step explanation:

Given : At a competition with 7 runners, medals are awarded for first, second, and  third places. Each of the 3 medals is different.

To find : How many ways are there to  award the medals?        

Solution :

There are 7 runners but medals are three.

The first runner up got first medal as one is locked.

The second runner up got second medal as second is locked.

The third runner up got the third medal.

So, There is a permutation.

Number of ways to award the medals is ^7P_3

We know, ^nP_r=\frac{n!}{(n-r)!}

Substitute the values,

^7P_3=\frac{7!}{(7-3)!}

^7P_3=\frac{7\times 6\times 5\times 4!}{4!}

^7P_3=210

Therefore, Option A is correct.

Permutation; number of ways = 210

6 0
3 years ago
3 part question
eimsori [14]

Answer:

^62 with a numertor of 66 you divide by .21

Step-by-step explanation:

5 0
3 years ago
The subsets of the real numbers can be represented in a Venn diagram as shown. To which subset of real numbers does −2π belong?
Alecsey [184]

Answer:

D

Step-by-step explanation:

Whole numbers are the basic counting numbers: 0,\ 1,\ 2,\ 3,\ 4, \....

Integers are whole numbers and negative numbers: ...,\ -2,\ -1,\ 0,\ 1,\ 2,\ ...

Rational numbers are all fractions \frac{m}{n}, where m is an integer and n is a natural number.

Irrational numbers are all real numbers that are not rational.

Number \pi is irrational number (it is not counting number, so it is not whole number, not integer number), it cannot be represented as a fraction, so it is not rational number, thus this number is irrational number.

The product of integer number -2 by irrational number \pi is irrational number -2\pi

Correct option - option D

7 0
3 years ago
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Answer:

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Step-by-step explanation:

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3 years ago
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