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valentinak56 [21]
3 years ago
7

A is a plane figure bounded by more than four straight lines.

Mathematics
1 answer:
kolezko [41]3 years ago
4 0

Answer:

A plane figure with 4 sides is called a quadrilateral.

Step-by-step explanation:

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4. Solve the following system of equations for x.
Ber [7]

We are given the system of equations -:

\large{ \begin{cases} 2x + 3y =  - 14 \\ y = 6x + 22 \end{cases}}

Since the second equation is y-isolated equation. It can be substituted as y = 6x+22 in the first equation.

\large{2x + 3(6x + 22) =  - 14}

Expand 3 in the expression so we can combine like terms and isolate x-variable.

\large{2x + 18x + 66 =  - 14}

Then combine like terms.

\large{20x + 66 =  - 14}

Get rid of 66 from the left side by subtracting both sides by itself.

\large{20x + 66 - 66 =  - 14 - 66} \\  \large{20x =  - 80}

To finally isolate the variable, divide both sides by 20 so we can leave x only on the left side.

\large{ \frac{20x}{20}  =  \frac{ - 80}{20} }

Simplify to the simplest form.

\large{x =  - 4}

Normally, we have to find the y-value too but since we only find x-value. The answer is x = -4.

Answer

  • x = -4

I hope this helps! If you have any questions or doubts regarding my answer, explanation or system of equations, feel free to ask!

5 0
3 years ago
Write the numerical expression for the product of 8 and the sum of 9 and 11.3. Then evaluate it.
Klio2033 [76]

Answer:

162.4

Step-by-step explanation:

To write the numerical expression for the product of 8 and the sum of 9 and 11.3 we need to follow these steps:

Sum of 9 and 11.3 is given as follows:

(9+11.3)

Now the product of 8 and the sum of 9 and 11.3 is:

8(9+11.3)

So the required expression is:

8(9+11.3)

Solving the above expression we get:

8(9+11.3)=8(20.3)=8 \times 20.3=162.4

3 0
3 years ago
Read 2 more answers
3x+4y=17.50<br> 7x+1y=17.00
nikdorinn [45]
7x+1y = 17.00 can be simplified to  y = -7x +17
<span>-7x +17 can then be substituted  for y in 3x+ 4y =17.50
</span>3x+4(y) = 17.50
3x+ 4(-7x +17) = 17.50

From here you can solve for X
<span>3x + 4(-7x +17) = 17.50
</span>3x -28x + 68     =  17.50
  -25x    + 68     =  17.50
              -68           -68
  -25x                =   -50.50
   ÷-25                     ÷-25
      X                 =   2.02

You can then replace x with 2.02 in the original 7x + 1y = 17.00 to solve for y.

7(x)      + 1y = 17.00
7(2.02) +  y  = 17.00
14.14    +  y =  17.00
-14.14              -14.14
                 y =  2.86

Then substitute 2.02 for x and 2.86 for y in the original 3x+ 4y = 17.50 to check.
3(x)      +   4(y)       =   17.50
3(2.02) +   4(2.86)  =   17.50
6.06      +   11.44    =   17.50
           17.50           =    17.50
So
X = 2.02
and
Y = 2.86
or the solution set is (2.02, 2.86)

Hope this helps
5 0
3 years ago
9) A rectangular box has a volume
Katarina [22]

Answer:

h=4in

length=5inch

width=8inch

volume=160inch3

Step-by-step explanation:

using the formula: v=whl

h=V

lw=160

5·8=4in

7 0
3 years ago
Are these triangules the same? and if so how?
Tpy6a [65]

Answer:

The answer to part one is no because one of them has a 37 in the place where it should have a 53 seeing as they are congruent(the same).

For part 2 it is a posibility that they are equal.

Step-by-step explanation:

4 0
3 years ago
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