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Katen [24]
3 years ago
7

What is the slope of a line perpendicular to the line y = 1/5x - 3

Mathematics
1 answer:
Lubov Fominskaja [6]3 years ago
4 0

Answer:

-5

Step-by-step explanation:

Perpendicular lines have negative reciprocal slopes.

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What is the distance between points e and g if e is ( 1, 7 )and g is (9,-2)
Alex_Xolod [135]

Answer:

12.0415945788

Step-by-step explanation:

8 0
2 years ago
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A state is considering license plates that have two digits followed by four letters. Assuming no combinations are excluded, how
love history [14]

Answer:

32,292,000

Step-by-step explanation:

In your question, it asks how many license plate combinations we could make WITHOUT repeats.

We need some prior knowledge to answer this question.

We know that:

  • There are 26 letters in the alphabet
  • We can make 10 digits (0 - 9)

With the information we know above, we can solve the question.

Since we CAN'T have repeats, we would be excluding a letter or number for each license plate.

We're going to need to multiply each "section" in order to find how many combinations of license plates we can make.

We decrease by one letter and one number in each section since we can't have repeats.

Now, we can solve.

Work:

26*25*24*23*10*9 = 32,292,000

When you're done multiplying, you should get 32,292,000.

This means that there could be 32,292,000 different combinations of license plates.

<h3>I hope this helps you out.</h3><h3>Good luck on your academics.</h3><h3>Have a fantastic day!</h3>
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3 years ago
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What is the equation of the line that passes through the point (7,-3)
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Answer:

Step-by-step explanation:

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4 0
3 years ago
Your teacher has 36 carpet squares. She needs to make a new arrangement for the reading carpet. What are all of the different wa
stira [4]

Answer: The number of different ways she could arrange the carpet squares is 36!.

Step-by-step explanation:

We know that , the number of ways to arrange n things = n!

Given that , Your teacher has 36 carpet squares.

i.e. The total number of carpet squares = 36

If she needs to make a new arrangement for the reading carpet.  

Then, the total number of arrangement of carpet squares would be 36!.

Hence , the number of different ways she could arrange the carpet squares is 36!

4 0
3 years ago
Which of the following statements are true of the graph of the function f(x)=(x+5)(x-3)?
mr_godi [17]

Answers: b, d and e

b.The graph has a relative minimum

d. The graph has an x intercept at 3,0

e. the graph has an y intercept at 0,-15

f(x)=(x+5)(x-3)

The given equation is in the form of f(x) = a(x-b)(x-c)

If 'a' is positive then graph has a relative minimum

If 'a' is negative then graph has a relative maximum

Here a=1 that is positive so graph has a relative minimum .

To find x intercept we set f(x) =0 and solve for x

0=(x+5)(x-3)

x+5 =0 -> x = -5 so x intercept is (-5,0)

x - 3=0 -> x= 3 so x intercept is (3,0)

To find y intercept we plug in 0 for x

y=(x+5)(x-3)

y=(0+5)(0-3) = -15

so y intercept is (0,-15)



5 0
3 years ago
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