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Kay [80]
3 years ago
12

The formula c = √a^2 + b^2 represents the length of the hypotenuse of a right triangle with side lengths a and b. Solve the equa

tion for b. Show your work.
Mathematics
1 answer:
Eduardwww [97]3 years ago
7 0

Answer:

b = √(c^2 - a²)

Step-by-step explanation:

Start with the given c = √a^2 + b^2.  Squaring both sides, we get:

c² = a² + b².

We want to iosolate b² and then b.

So:  subtract a² from both sides, resulting in:

c² - a² = b²

Taking the square root of both sides, we get:

√b² = √(c² - a²)

and so:

b = √(c^2 - a²)

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The yearly profit or loss for a clothing store is shown for a period of three years. Use a calculator to determine the clothing
Alisiya [41]

Answer:

  loss of $12,481.38

Step-by-step explanation:

It is usually a good idea to follow directions. (See attached.)

The sum of the three profit values is -$12,481.38, indicating a loss in the 3-year period.

7 0
3 years ago
I will give you the brainlessest if you awnser the following plz and thank you so much
kirill115 [55]
2. x + y = 82
    x - y = 24
  ---------------add
    2x = 106
      x = 53
 
   x + y = 82
   53 + y = 82
   y = 82 - 53
   y = 29

   solution is : (53,29)
=======================
3. y = 2x
    y = 4x + 6
    
    2x = 4x + 6
    2x - 4x = 6
    -2x = 6
     x = -3

    y = 2x
    y = 2(-3)
    y = -6

    solution is (-3,-6)
========================
4. 5x + 8y = -29
    7x - 2y = -67...multiply by 4
   ----------------
    5x + 8y = -29
   28x - 8y = - 268 ..result of multiplying by 4
  -----------------add
   33x = - 297
      x = - 9

   5x + 8y = -29
   5(-9) + 8y = -29
    -45 + 8y = -29
   8y = -29 + 45
   8y = 16
   y = 2

   solution is : (-9,2)
=======================
5. y = -4x + 6
    y = -5x - 4

    -4x + 6 = -5x - 4
    -4x + 5x = -4 - 6
     x = -10

    y = -4x + 6
    y = -4(-10) + 6
    y = 40 + 6
    y = 46

   solution is (-10,46)
=========================
6. H(m) = 2m + 12
    H(m) = 3m + 10
=========================
7. -8x + 4y > -52
    4y > 8x - 52
     y > 2x - 13 <==
=========================
8. 3x - y = 28
    3x + y = 14
   ---------------add
    6x = 42
     x = 7

   3x - y = 28
   3(7) - y = 28
   21 - y = 28
   -y = 28 - 21
   -y = 7
    y = -7

solution is (7,-7)
=====================
10. 5x - 5y > 70
      -5y > -5x + 70
       y < x - 14 <==
=====================
11. sorry...dont know
=====================
12. y = 4x + 4
      y = -3x - 3

     4x + 4 = -3x - 3
     4x + 3x = -3 - 4
     7x = -7
     x = -1

     y = 4x + 4
     y = 4(-1) + 4
     y = 0

solution is (-1,0)
=======================
13. -12x - 2y > - 42
       -2y > 12x - 42
        y < -6x + 21 <==
=======================
14. -5x + 2y = 9
       3x + 5y = 7

solution is (-1,2)
========================
15. 3x + 6y = -2
     15x + 30y = -10....divide by 5 to reduce = 3x + 6y = -2
     is the same line....infinite solutions
========================
1. (the graph).....y < = 3x - 4....3rd one
========================
9. (2nd graph)....y < = -3x + 4....last one
8 0
3 years ago
Can you help me with #1?​
steposvetlana [31]
The answer would be 27. If ABC is 3 times the length of AB then it would be the same for AC.
5 0
3 years ago
Please help ASAP. 40 pts
Allisa [31]

Answer:

19 < x < 31

Step-by-step explanation:

The range for the third side is

25-6 < x < 25+6

19 < x < 31

Take the other two sides and subtract and take the other two sides and add

7 0
3 years ago
Read 2 more answers
HELP, I don't understand this problem
White raven [17]

Answer:

A

Step-by-step explanation:

This shows that 8 x 9 = 72, making 9 a factor of 72.

3 0
3 years ago
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