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NeX [460]
2 years ago
8

The area of a circle is 98. 74cm2. Find the length of the radius rounded to 2 DP

Mathematics
1 answer:
olga nikolaevna [1]2 years ago
5 0

Answer:

I believe it is 15.72cm.

Step-by-step explanation:

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Apply Crammer's Rule to find the solution to the following quations .2x + 3y = 1, 3x + y = 5​
Bond [772]

Answer:

The solution to the equation system given is:

  • <u>x = 2</u>
  • <u>y = -1</u>

Step-by-step explanation:

First, we must know the equations given:

  1. 2x + 3y = 1
  2. 3x + y = 5​

Following Crammer's Rule, we have the matrix form:

\left[\begin{array}{ccc}2&3\\3&1\end{array}\right] =\left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}1\\5\end{array}\right]

Now we solve using the determinants:

x=\frac{\left[\begin{array}{ccc}1&3\\5&1\end{array}\right]}{\left[\begin{array}{ccc}2&3\\3&1\end{array}\right] } =\frac{(1*1)-(5*3)}{(2*1)-(3*3)} = \frac{1-15}{2-9} =\frac{-14}{-7} = 2

y=\frac{\left[\begin{array}{ccc}2&1\\3&5\end{array}\right]}{\left[\begin{array}{ccc}2&3\\3&1\end{array}\right] } =\frac{(2*5)-(3*1)}{(2*1)-(3*3)}=\frac{10-3}{2-9} =\frac{7}{-7}=-1

Now, we can find the answer which is x= 2 and y= -1, we can replace these values in the equation to confirm the results are right, with the first equation:

  • 2x + 3y = 1
  • 2(2) + 3(-1)= 1
  • 4 - 3 = 1
  • 1 = 1

And, with the second equation:

  • 3x + y = 5​
  • 3(2) + (-1) = 5
  • 6 - 1 = 5
  • 5 = 5

 

4 0
3 years ago
Which of the following expressions is equivalent to x+14−3x−27−11y
Mariana [72]

Answer:

The answer is D)-2x-11y-13

Step-by-step explanation:

5 0
2 years ago
PLEASE HELP!! 25 POINTS !!! Graphing
Sunny_sXe [5.5K]
A = 6, 2
B = 3, 4
C = -10, 3
D = -4, 5
E = -5, -3
F = -4, -2
G = 3, -8
4 0
2 years ago
Read 2 more answers
Solve the system of equations by graphing. x+y=-9 4x+y=-19
shutvik [7]

For this case we have the following system of equations:

x + y = -9\\4x + y = -19

We multiply the first equation by -4:

-4x-4y = 36

We have the following equivalent system of equations:

-4x-4y = 36\\4x + y = -19

We add the equations:

-4x + 4x-4y + y = 36-19\\-3y = 17\\y = - \frac {17} {3}

We find the value of the variable "x":

x = -9-yx = -9 - (- \frac {17} {3})\\x = -9 + \frac {17} {3}\\x = \frac {-27 + 17} {3}\\x = - \frac {10} {3}

Thus, the solution of the system is:

(x, y): (- \frac {10} {3}, - \frac {17} {3})

See the graphic in the attached image

ANswer:

(x, y): (- \frac {10} {3}, - \frac {17} {3})

See the graphic in the attached image

4 0
3 years ago
Which most likely occurs because resources are nonrenewable and because wants and needs are unlimited?
alexdok [17]
Here is the graph answer choices





3 0
3 years ago
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