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Flura [38]
2 years ago
5

A mouse has made holes in opposite corners of a rectangular kitchen. The width of the kitchen is 2 meters, and the distance betw

een the mouse's holes is 6 meters. What is the length of the kitchen? If necessary, round to the nearest tenth.
Mathematics
1 answer:
Leviafan [203]2 years ago
8 0

Answer:

  5.7 meters

Step-by-step explanation:

The Pythagorean theorem can be used to find the second leg (b) of a triangle with diagonal (c) 6 meters and first leg (a) 2 meters.

  c^2 = a^2 + b^2

  6^2 = 2^2 +b^2

  b^2 = 36 -4 = 32

  b = √32 ≈ 5.7 . . . . meters

The kitchen is about 5.7 meters long.

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Select the correct answer.<br> Find the value of g(7) for the function below.<br> g(x) = zur
ale4655 [162]

Answer:

B

Step-by-step explanation:

To evaluate g(7) substitute x = 7 into g(x) , that is

g(7) = \frac{7}{8} × 7 - \frac{1}{2}

      = \frac{49}{8} - \frac{4}{8}

      = \frac{45}{8} → B

5 0
2 years ago
Isaiah is starting his own gardening business. Isaiah thinks he can charge $15.50 per hour. If he knows he
Genrish500 [490]

Answer:

About $1627.5

Step-by-step explanation:

15.50 x 35 = 542.5

542.5 x 3 (the amount of weeks in a month) = $1627.5

7 0
3 years ago
Which number should be added to both sides of the equation to complete the square x^2-10x=7
mixer [17]

Answer:

  25

Step-by-step explanation:

The number that needs to be added is the square of half the x-coefficient:

  (-10/2)^2 = 25

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Adding that gives ...

  (x -5)^2 = 32

  x = 5 ± 4√2

5 0
3 years ago
Solve by elimination:
Pie

Answer:

B (5, 13)

Step-by-step explanation:

9x + 4y = 97

9x + 6y = 123

To solve by elimination, we want to <em>eliminate</em> a variable. To do this, we must make one variable cancel out.

First, we can see that both equations have 9x. To cancel out x, we must make <em>one</em> of the 9x's <em>negative</em>. To do this, multiply <em>each term</em> in the equation by -1.

-1(9x + 6y = 123)

-9x - 6y = -123

This is one of your equations. Set it up with your other given equation.

9x + 4y = 97

-9x - 6y = -123

Imagine this is one equation. Since every term is negative, you will be subtracting each term.

9x + 4y = 97

-9x - 6y = -123

___________

0x -2y = -26

-2y = -26

To isolate y further, divide both sides by -2.

y = 13

Now, to find x, plug y back into one of the original equations.

9x + 4(13) = 97

Multiply.

9x + 52 = 97

Subtract.

9x = 45

Divide.

x = 5

Check your answer by plugging both variables into the equation you have not used yet.

-9(5) - 6(13) = -123

-45 - 78 = -123

-123 = -123

Your answer is correct!

(5, 13)

Hope this helps!

6 0
3 years ago
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I would tell you how to do it but its a very hard thing to explain

6 0
2 years ago
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