<h3>Answer:</h3>
15.36 cm
<h3>Explanation:</h3>
The Pythagorean theorem tells you ...
... AC² = AB² + BC² . . . . . relation for face diagonal
... AD² = AC² + CD² . . . . . relation for space diagonal
Subsituting the expression for AC² given by the first equation, the second equaiton becomes ...
... AD² = AB² + BC² + CD²
... AD² = (100 cm²) + (100 cm²) + (36 cm²) = 236 cm²
Taking the square root, we have ...
... AD = √236 cm = 2√59 cm
... AD ≈ 15.36 cm
Not 100% sure but I think it’s 7
U should get Cymath for math and Socratic for everything they help a lot
Answer:
![p(x) = - 0.7(x - 3)^{2} (x + 2)](https://tex.z-dn.net/?f=p%28x%29%20%3D%20%20-%200.7%28x%20-%203%29%5E%7B2%7D%20%28x%20%2B%202%29)
Step-by-step explanation:
We have that the polynomial, has a root of multiplicity 2 at x = 3 and a root of multiplicity 1 at x = -2.
This means the factored form of the polynomial will be.
![p(x) = a(x - 3)^{2} (x + 2)](https://tex.z-dn.net/?f=p%28x%29%20%3D%20a%28x%20-%203%29%5E%7B2%7D%20%28x%20%2B%202%29)
Also, it was given that, the y-intercept is y=-12.6.
This implies that:
![- 12.6= a(0 - 3)^{2} (0 + 2)](https://tex.z-dn.net/?f=%20-%2012.6%3D%20a%280%20-%203%29%5E%7B2%7D%20%280%20%2B%202%29)
![- 12.6= a(- 3)^{2} (2)](https://tex.z-dn.net/?f=-%2012.6%3D%20a%28-%203%29%5E%7B2%7D%20%282%29)
![- 12.6= 18a](https://tex.z-dn.net/?f=-%2012.6%3D%2018a)
Divide both sides by 18;
![a = \frac{ - 12.6}{18}](https://tex.z-dn.net/?f=a%20%3D%20%20%5Cfrac%7B%20-%2012.6%7D%7B18%7D%20)
![a= - 0.7](https://tex.z-dn.net/?f=a%3D%20-%200.7)
Therefore the polynomial is
![p(x) = - 0.7(x - 3)^{2} (x + 2)](https://tex.z-dn.net/?f=p%28x%29%20%3D%20%20-%200.7%28x%20-%203%29%5E%7B2%7D%20%28x%20%2B%202%29)
<span>2x^3 + 10x^2 + 4x + 20
= 2(x^3 + 5x^2 + 2x + 10)
= 2[x^2(x + 5) + 2(x + 5)]
= 2[(x+5)</span>(x^2 + 2)<span>]
answer
</span>2[(x + 5)(x^2 + 2)]
Answer:
Total is 20 coins
Step-by-step explanation:
If you want to check that 20 is the total amount of coins you can simply do
10/100 x 20/1 = 2
You are correct!
Hope this helps :)