Solution
Question 1:
- Use of the area of squares to explain the Pythagoras theorem is given below
- The 3 squares given above have dimensions: a, b, and c.
- The areas of the squares are given by:
- The Pythagoras theorem states that:
"The sum of the areas of the smaller squares add up to the area of the biggest square"
Thus, we have:
Question 2:
- We can apply the theorem as follows:
![\begin{gathered} 10^2+24^2=c^2 \\ 100+576=c^2 \\ 676=c^2 \\ \text{Take square root of both sides} \\ \\ c=\sqrt[]{676} \\ c=26 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%2010%5E2%2B24%5E2%3Dc%5E2%20%5C%5C%20100%2B576%3Dc%5E2%20%5C%5C%20676%3Dc%5E2%20%5C%5C%20%5Ctext%7BTake%20square%20root%20of%20both%20sides%7D%20%5C%5C%20%20%5C%5C%20c%3D%5Csqrt%5B%5D%7B676%7D%20%5C%5C%20c%3D26%20%5Cend%7Bgathered%7D)
Thus, the value of c is 26
The equation for working out the slope of a linear line is: 
, where x and y are the coordinate pairs.
So just pick two of the purple dots on the graph and fill in the equation.
I'll pick the dot that's (-4, 1) and (4, -7).
Now I just do 
, which is just 
when simplified.
Answer:
Step-by-step explanation:
- (3⁴)⁻² * (3⁵)³ =
- 3⁴⁽⁻²⁾*3⁵⁽³⁾ =
- 3⁻⁸*3¹⁵ =
- 3⁻⁸⁺¹⁵ =
- 3⁷
Correct option is B. 3⁷
Answer:
160x^64+160x^2
hope this helps
have a good day :)
Step-by-step explanation:
There is no restriction on the domain because there is a cube root for all real values positive or negative. So you can solve this as there are no extraneous solutions...
Cube both sides...
2x-4=-8
2x=-4
x=-2
