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svp [43]
3 years ago
12

What does x equal and what does why equal?

Mathematics
2 answers:
zimovet [89]3 years ago
8 0

1.

x^2 + 6.4^2 = 8^2

x^2 = 40.96 = 64

x^2 = 64 -40.96

x^2 = 23.04

x = sqrt(23.04) = 4.8


2. y=

y^2 + 3^2 = 5^2

y^2 +9 = 25

y^2 = 25-9

y^2 = 16

y = sqrt(16) = 4

dlinn [17]3 years ago
7 0

Answer:

<em>x^2 + 6.4^2 = 8^2 </em>

<em>x^2 = 40.96 = 64 </em>

<em>x^2 = 64 -40.96  </em>

<em>x^2 = 23.04  </em>

<em>x = sqrt(23.04) = 4.8 </em>

<em>  y= </em>

<em>y^2 + 3^2 = 5^2 </em>

<em>y^2 +9 = 25 </em>

<em>y^2 = 25-9 </em>

<em>y^2 = 16 </em>

<em>y = sqrt(16) = 4</em>

<em></em>

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Step-by-step explanation:

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40.51x+12.45y=666.64
irga5000 [103]

Answer:

The graph of the equation 40.51x+12.45y=666.64 is attached with the answer where the horizontal axis represents the X axis and the vertical axis represents Y axis.

To plot the graph physically just find two points lying on the line. Mark the points on the graph sheet and then join them. This will give you the line represented by the equation.

To find points on the line assume the value of any one variable, substitute it in the equation, then solve the equation to find the value of other variable. For example : assume y = 1; substitute the value of y in the equation;

⇒ 40.51x + 12.45×1 = 666.64

⇒ 40.51x = 666.64 - 12.45

⇒ 40.51x = 654.19

⇒ x = \frac{654.19}{40.51}

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Therefore point ( 16.149 , 1 ) lie on the graph of the equation.

***Only two points are required to plot this graph just because it represents a straight line, that we can conclude just by observing the equation. If in an equation the power of x is 1 or 0 and power of y is 1 or 0 then only it will represent a straight line in 2-D plane.***

5 0
3 years ago
The first- and second-year enrollment values for a technical school are shown in the table below: Enrollment at a Technical Scho
lyudmila [28]

Answer:

  • <u><em>The solution to f(x) = s(x) is x = 2012. </em></u>

Explanation:

<u>Rewrite the table and the choices for better understanding:</u>

<em>Enrollment at a Technical School </em>

Year (x)       First Year f(x)      Second Year s(x)

2009                  785                        756

2010                   740                        785

2011                    690                        710

2012                   732                         732

2013                   781                          755

Which of the following statements is true based on the data in the table?

  • The solution to f(x) = s(x) is x = 2012.
  • The solution to f(x) = s(x) is x = 732.
  • The solution to f(x) = s(x) is x = 2011.
  • The solution to f(x) = s(x) is x = 710.

<h2>Solution</h2>

The question requires to find which of the options represents the solution to f(x) = s(x).

That means that you must find the year (value of x) for which the two functions, the enrollment the first year, f(x), and the enrollment the second year s(x), are equal.

The table shows that the values of f(x) and s(x) are equal to 732 (students enrolled) in the year 2012,<em> x = 2012. </em>

Thus, the correct choice is the third one:

  • The solution to f(x) = s(x) is x = 2012.
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Answer:

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Step-by-step explanation:

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