I think the answer is 32 if I did my math right sorry if it wrong
Answer:
x is the variable
Step-by-step explanation:
Average rate of change of the function: ![-\sqrt{3}](https://tex.z-dn.net/?f=-%5Csqrt%7B3%7D)
Step-by-step explanation:
The average rate of change of a function f(x) can be calculated as:
![r=\frac{f(x_2)-f(x_1)}{x_2-x_1}](https://tex.z-dn.net/?f=r%3D%5Cfrac%7Bf%28x_2%29-f%28x_1%29%7D%7Bx_2-x_1%7D)
where:
are the x-values of the interval taken into account to evaluate the rate of change of the function
are the values of the function at those points
In this problem, we have:
![x_1=8\\x_2=64](https://tex.z-dn.net/?f=x_1%3D8%5C%5Cx_2%3D64)
The function is
, so
![f(x_1)=f(8)=-8\sqrt{3}\\f(x_2)=f(64)=-64\sqrt{3}](https://tex.z-dn.net/?f=f%28x_1%29%3Df%288%29%3D-8%5Csqrt%7B3%7D%5C%5Cf%28x_2%29%3Df%2864%29%3D-64%5Csqrt%7B3%7D)
So, the average rate of change in this interval is:
![r=\frac{-64\sqrt{3}-(-8\sqrt{3})}{64-8}=\frac{-56\sqrt{3}}{56}=-\sqrt{3}](https://tex.z-dn.net/?f=r%3D%5Cfrac%7B-64%5Csqrt%7B3%7D-%28-8%5Csqrt%7B3%7D%29%7D%7B64-8%7D%3D%5Cfrac%7B-56%5Csqrt%7B3%7D%7D%7B56%7D%3D-%5Csqrt%7B3%7D)
Learn more about rates of change:
brainly.com/question/4152194
brainly.com/question/12941985
#LearnwithBrainly
Answer:
The opposite number of +43 is -43 , I hope this is helpful :)
Answer:
a. 28˚
b. 76˚
c. 104˚
d. 56˚
Step-by-step explanation
a. because angle between tangent and chord is equal to the angle(s) in alternate segment.
b. because angles in triangles add up to 180˚, 180-28=152 and because isosceles triangle, 152/2=76˚
c. because angles in triangles add up to 180˚ and opposite angles in a cyclic quadrilateral add up to 180˚, 31+76=107, 180-107=73, 73-28=45, angles in triangle so 180-(31+45)=104˚
d. 28*2=56˚ because angles at circumference are half angles at centre