Answer:
d) 27
Step-by-step explanation:
The expanded form of (a+b)³ is ...
(a +b)³ = a³ +3a²b +3ab² +b³
When we are expanding (x +3)³, the x-term is ...
3(x)(3²) = 27x
The coefficient of x in the expansion is 27.
Given:
A right angled triangle.
To find:
The value of x.
Solution:
We have,
Base = x
Hypotenuse = 
In a right angle triangle,
For the given triangle,
Multiply both sides by .
Therefore, the required value of x is 
.
Because there is no whole number that you can divide into both the numerator and the denominator to get a proper fraction.
Answer:
x = 7
y = 11
Step-by-step explanation:
Given the system;
y = 2x - 3
x + y = 18
1. Approach
The easiest way to solve this system of equations is to solve the second equation for the variable (y). Then add the systems, use algebra to solve for the value of (x), then substitute that value back into one of the original equations to solve for the value of (y). Another name for the method in use is the method of elimination, this is when a [erspm manipulates one of the equations in a system of the equation such that when they add the equations, one of the variables eliminatates. Thus, they can solve for the other variable and the backsolve for the value of the unknown variable.
2. Solve one of the equations for a variable
Manipulate the system such that each equation is solved for the same variable,
x + y = 18
Inverse operations,
x + y = 18
-18 -18
x + y - 18 = 0
-y -y
x - 18 = -y
3. Use elimination
Now substitute this back into the original system,
y = 2x - 3
-y = x - 18
Add the systems,
y = 2x - 3
-y = x - 18
_________
0 = 3x - 21
Inverse operations,
0 = 3x - 21
+21 +21
21 = 3x
/3 /3
7 = x
4. Find the value of the unknown variable
Backsovle to find the value of (y),
x + y = 18
Substitute,
7 + y = 18
Inverse operations,
7 + y = 18
-7 -7
y = 11
Answer : The length of an edge of cube is, 10 inches.
Step-by-step explanation :
The formula used for area of cube is:
Area of cube = 
where,
a = edge
We are given that:
Area of cube = ![600in^2[tex]Now put all the given values in the above formula, we get:Area of cube = [tex]6a^2](https://tex.z-dn.net/?f=600in%5E2%5Btex%5D%3C%2Fp%3E%3Cp%3ENow%20put%20all%20the%20given%20values%20in%20the%20above%20formula%2C%20we%20get%3A%3C%2Fp%3E%3Cp%3EArea%20of%20cube%20%3D%20%5Btex%5D6a%5E2)
Therefore, the length of an edge of cube is, 10 inches.
