If you can't read it, I'll do my best to translate:
Z) 10^2 + 5^2 = 125
√125 = 11.18 = Z

Y) tan-1(5/10) = 26.57°
90 + 26.57 = 116.57
180 - 116.57 = 63.43°
5 ÷ sin(63.43) = 8.88 = Y

X) 11.18^2 + 8.88^2 = 203.8468
√203.8468 = 14.28
14.28 - 10 = 4.28 = x

All numbers are rounded to 2 decimal places, if you need any explanations for why I did something then just let me know :)
I hope this helps!

7 0

3 years ago

Need help with this....

Yakvenalex [24]

Answer:

$\boxed{\dfrac{f(a+h)-f(a)}{h}=-3a^2-3ah-h^2}$

Step-by-step explanation:

$f(x)=-x^3+2\\\\\dfrac{f(a+h)-f(a)}{h}\\\\f(a+h)\to\text{substitute x = a + h}\\f(a)\to\text{substitute x = a}\\\\\dfrac{f(a+h)-f(a)}{h}=\dfrac{-(a+h)^3+2-(-a^3+2)}{h}\\\\\text{use}\ (x+y)^3=x^3+3x^2y+3xy^2+y^3\\\\=\dfrac{-(a^3+3a^2h+3ah^2+h^3)+2-(-a^3)-2}{h}\\\\=\dfrac{-a^3-3a^2h-3ah^2-h^3+2+a^3-2}{h}\\\\\text{combine like terms}$

$=\dfrac{(-a^3+a^3)-3a^2h-3ah^2-h^3+(2-2)}{h}\\\\=\dfrac{-3a^2h-3ah^2-h^3}{h}\\\\=\dfrac{h(-3a^2-3ah-h^2)}{h}\\\\=-3a^2-3ah-h^2$

6 0

3 years ago