Hello!
First, "the difference" of 2 numbers means you subtract these numbers.
Then, 4 cubed is written as follows:
4³
Subtract:
4³-25
[If necessary] Evaluate:
64-25
39
Hope everything is clear.
Let me know if you have any questions!
Always remember: Knowledge is power!
The solution is x = 8 and y = 2
<em><u>Solution:</u></em>
<em><u>Given are the system of equations</u></em>
2x + 3y = 22 -------- eqn 1
-2x + 5y = -6 ----- eqn 2
We can solve the system of equations by elimination method
<em><u>Add eqn 1 and eqn 2</u></em>
Eqn 1 + Eqn 2
2x + 3y -2x + 5y = 22 - 6
0x + 3y + 5y = 16
8y = 16
Divide both sides of equation by 8
<h3>y = 2</h3>
Substitute y = 2 in eqn 1
2x + 3(2) = 22
2x = 22 - 6
2x = 16
<h3>x = 8</h3>
Thus the solution is x = 8 and y = 2
Answer:
q: quarters, 2q, 2q + 22, & 3(2q+22)
Step-by-step explanation:
A: The variable “q” will be the number of quarters
B:
2q will be the numbers of dimes
2q+22 will be the numbers of nickels
3(2q + 22) will be th number of pennies
The hexagon divides the circle into 6 parts. That means the angle projecting each side is: 360°÷ 6 = 60°
The area of a circle is: πr²
78.54 in² divided by pi is 25 making the radius = 5
I would then use SOH CAH TOA to solve for the side.. knowing the hypotenuse is the radius and the angle to split it into a right triangle is 30°
Sin(30) = s/5
5*Sin(30) = s
12*s = perimeter hexagon
(remember s is half the hexagon side)
12*5*Sin(30) = perimeter hexagon
30 inches = perimeter