Answer:
<u>Consider the following identity:</u>
- a³ - b³ = (a + b)(a² - ab + b²)
<u>Let a = 2, b = 1/2</u>
- (2 + 1/2)(2² - 2*1/2 + 1/2²) =
- 2³ - (1/2)³ =
- 8 - 1/8
Answer:

Step-by-step explanation:
The surface area formula for pyramids is given by :
...(1)
We need to arrange the formula for l.
Take b to LHS,
![S-b=\dfrac{1}{2}Pl\\\\2(S-b)=Pl\ [\text{cross-multiplying}]\\\\l=\dfrac{2(S-b)}{P}](https://tex.z-dn.net/?f=S-b%3D%5Cdfrac%7B1%7D%7B2%7DPl%5C%5C%5C%5C2%28S-b%29%3DPl%5C%20%5B%5Ctext%7Bcross-multiplying%7D%5D%5C%5C%5C%5Cl%3D%5Cdfrac%7B2%28S-b%29%7D%7BP%7D)
So, the expression is
for the slant height.
Answer:
There is one solution.
x = -17
<em>Proof and step-by-step explanation:</em>
Step 1: <em>Add the numbers</em>
3x-7 = 4+6+4x
3x-7 = 10+4x
Step 2: <em>Move</em><em> </em><em>terms</em>
3x-7 = 10+4x
3x-4x = 10+7
Step 3: <em>Collect the like terms and calculate the sum</em>
3x-4x = 10+7
-x = 17
Step 4: <em>Change the sign by multiplying both sides by -1</em>
-x (×-1) = 17 (×-1)
x = -17
I hope this helped ! :)
Answer:
when 2 angles add up to 180 degrees, they form a linear pair
Step-by-step explanation: