I NEED SERIOUS HELP!!! Find the volume of the rectangular prism The volume is __cm. Cubed
1 answer:
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The only ordered pair that is a solution to the given system of equations is (-2, -6)
<h3>System of Linear Equations </h3>From the question, we are to determine if each ordered pair is a solution to the given system of equations
The given system of equations is
-9x + 2y = 6
5x - 3y = 8
- For (7, 9)
That is,
x = 7, y = 9
Putting the values into the first equation
Is -9(7) + 2(9) = 6
-63 + 18 = 6
-45 ≠ 6
Thus, (7,9) is not a solution
- For (0, 3)
That is,
x = 0, y = 3
Putting the values into the first equation
Is -9(0) + 2(3) = 6
0 + 6 = 6
6 = 6
The ordered pair satisfies the first equation
Testing for the second equation
Is 5(0) - 3(3) = 8
0 - 9 = 8
-9 ≠ 8
Thus, (0, 3) is not a solution
- For (5, -4)
That is,
x = 5, y = -4
Putting the values into the first equation
Is -9(5) + 2(-4) = 6
-45 - 8 = 6
-53 ≠ 6
Thus, (-5,4) is not a solution
- For (-2, -6)
That is,
x = -2, y = -6
Putting the values into the first equation
Is -9(-2) + 2(-6) = 6
18 - 12 = 6
6 = 6
The ordered pair satisfies the first equation
Testing for the second equation
Is 5(-2) -3(-6) = 8
-10 + 18 = 8
8 = 8
The ordered pair satisfies the second equation
∴ The ordered pair that is a solution to the system of equations is (-2, -6)
Hence, the only ordered pair that is a solution to the given system of equations is (-2, -6)
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Option b: 10 in, 18.5 in, 31.5 in.
Explanation:
The three sides of a triangle are and
The perimeter of the triangle is .
Since, Perimeter = all sides of the triangle
Let us add all the three sides to determine the length of each side.
Substituting the value of Perimeter and simplifying, we get,
Substituting in the three sides of the triangle
and
, we get,
Thus, the lengths of each side are 10 in, 18.5 in, 31.5 in.