Right triangles. There is a 90 degree angle on both
Answer:
6x - 21
Step-by-step explanation:
3(2x - 7)
Use the Distribute Property of Multiplication by multiplying the number outside the parenthesis with the numbers inside.
3 × 2x = 6x
3 × -7 = -21
Combine:
6x - 21
Hope this helped.
<span>The Pythagorean theorem is used to prove that a triangle is a(n) _________triangle.
</span>The Pythagorean theorem is used to prove that a triangle is a right triangle.
<span>
We also have Pythagorean triangle. This is known as primitive right triangle.
The used of the said theorem is to prove that the square on the hypotenuse of a right triangle is equal to the sum of the squares on the two legs. One of the studies said that the theorem is talking about the area of the squares that are built on each side of the right triangle.
</span>
Answer: 8.632
<u>Step-by-step explanation:</u>
First, you need to find the length of AE. Since ΔAEC is a right triangle, we can use:
Next, Use Heron's formula to find the Area of ΔADE.
Heron's formula is:
Given the expression:
![\displaystyle \large{ \sqrt[3]{ - 125} }](https://tex.z-dn.net/?f=%20%5Cdisplaystyle%20%5Clarge%7B%20%5Csqrt%5B3%5D%7B%20-%20125%7D%20%7D)
Definition:
![\displaystyle \large{ y = \begin{cases} \pm \sqrt[n]{x} \longrightarrow n = (2,4,6,8,...) \: \: (x \geqslant 0) \\ \sqrt[n]{x}\longrightarrow n = (1,3,5,7,...) \: \: (x \in \R) \end{cases}}](https://tex.z-dn.net/?f=%20%5Cdisplaystyle%20%5Clarge%7B%20y%20%20%3D%20%5Cbegin%7Bcases%7D%20%20%20%5Cpm%20%5Csqrt%5Bn%5D%7Bx%7D%20%20%5Clongrightarrow%20n%20%20%3D%20%282%2C4%2C6%2C8%2C...%29%20%20%5C%3A%20%20%5C%3A%20%28x%20%5Cgeqslant%200%29%20%5C%5C%20%20%20%5Csqrt%5Bn%5D%7Bx%7D%5Clongrightarrow%20n%20%3D%20%281%2C3%2C5%2C7%2C...%29%20%5C%3A%20%20%5C%3A%20%28x%20%5Cin%20%5CR%29%20%5Cend%7Bcases%7D%7D)
First, factor the -125. -125 comes from (-5)×(-5)×(-5) or (-5)^3.
![\displaystyle \large{ \sqrt[3]{ ( - 5) \times ( - 5) \times ( - 5)} }](https://tex.z-dn.net/?f=%20%5Cdisplaystyle%20%5Clarge%7B%20%5Csqrt%5B3%5D%7B%20%28%20-%205%29%20%5Ctimes%20%28%20-%205%29%20%5Ctimes%20%28%20-%205%29%7D%20%7D)
Because if (-5)^2 = 25 then 25×(-5) again will be -125.
Since this is the cube root, we have to pull out 3 terms in one. There are 3 fives that we can take off and therefore,
