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lesya692 [45]
3 years ago
13

Question is in the picture

Mathematics
2 answers:
liberstina [14]3 years ago
8 0

Answer:

h = 7.0 inches

Step-by-step explanation:

We are given d=\sqrt{w^{2}+h^{2}  }, where d=13.3 and w=11.3

Sub in these values into the equation,

13.3=\sqrt{11.3^{2}+h^{2}  }

13.3=\sqrt{127.69+h^{2} }

Square both sides to get rid of the square root,

176.89=127.69+h^{2}

Collect like terms,

49.2 = h^{2}

Square root both sides to get h by itself,

h = 7.0 inches (1 d.p.)

Hope this helped!!

bija089 [108]3 years ago
6 0
The answer is c.


Your welcome
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6 0
3 years ago
Which statements are true about the ordered pair (-1,-4) and the system of equations?
rewona [7]

Answer:

1.When (-1,-4) is substituted into the first equation, the equation is false. FALSE

2. When (-1,-4) is substituted into the first equation, the equation is true. TRUE

3. When (-1,-4) is substituted into the second equation, the equation is false.

FALSE

4. When (-1,-4) is substituted into the second equation, the equation is true. TRUE

5.The ordered pair (-1,-4) is a solution to the system of linear equations .TRUE

6.The ordered pair (-1,-4) is not a solution to the system of linear equations.

FALSE

Step-by-step explanation:

Here, the given set if equations are:

x - y = 3  

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Now, substituting the given value (-1,-4) in the given equations, we get

(1) Substitute (-1, -4) in first equation:

    x - y = 3   :  (-1, -4)

⇒  (-1) - (-4)  = -1 + 4 = 3  = Right Side

So, the equation x - y = 3    holds TRUE for (-1,-4)

(2) Substitute (-1, -4) in second  equation:

  7 x - y = - 3   :  (-1, -4)

⇒  7(-1) - (-4)  = -7  + 4 = -3  =  Right Side  

So, the equation 7 x - y = - 3  holds TRUE for (-1,-4)

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When (-1,-4) is substituted into the first equation, the equation is false.  FALSE, equation is satisfied.

When (-1,-4) is substituted into the first equation, the equation is true.

TRUE

When (-1,-4) is substituted into the second equation, the equation is false.

FALSE, the given equation is satisfied.

When (-1,-4) is substituted into the second equation, the equation is true.

TRUE

The ordered pair (-1,-4) is a solution to the system of linear equations .

TRUE,as the given point satisfies both the equations.

The ordered pair (-1,-4) is not a solution to the system of linear equations.

FALSE,as the given point satisfies the equation.

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