A) 14.66
Arc length is equal to radius multiplied by the central angle in radians not degrees
The value of x is 1.5.
Step-by-step explanation:
Step 1:
First, we must convert the mixed fractions into improper fractions.
To do this, we multiply the whole number with the denominator of the fraction and add with it the numerator of the same fraction whereas the denominator remains unchanged.
To convert the fraction ![2\frac{7}{10} = \frac{(2(10)+7)}{10} = \frac{27}{10}.](https://tex.z-dn.net/?f=2%5Cfrac%7B7%7D%7B10%7D%20%3D%20%5Cfrac%7B%282%2810%29%2B7%29%7D%7B10%7D%20%3D%20%5Cfrac%7B27%7D%7B10%7D.)
Step 2:
So ![\frac{9}{5} x = \frac{27}{10},](https://tex.z-dn.net/?f=%5Cfrac%7B9%7D%7B5%7D%20x%20%3D%20%5Cfrac%7B27%7D%7B10%7D%2C)
By cross multiplying the fraction on the left-hand side of the equation, we get
![x = (\frac{27}{10} )(\frac{5}{9} ) = \frac{3}{2} = 1.5.](https://tex.z-dn.net/?f=x%20%3D%20%28%5Cfrac%7B27%7D%7B10%7D%20%29%28%5Cfrac%7B5%7D%7B9%7D%20%29%20%3D%20%5Cfrac%7B3%7D%7B2%7D%20%3D%201.5.)
So the value of x is 1.5.
Answer:
Step-by-step explanation:
It is f(x) = −|x + 4| + 3 because the +4 in the absolute value sign moves the graph 4 spots to the left and the +3 moves the graph 3 spots up.
How many zeros does the function f(x) = 3x12 − 17x8 + 11x4 − 6x + 23 have?
Answer: the third option (12 zeros..).
Use ^ to denote an exponent..
f(x) = 3x^12 - 17x^8 + 11x^4 - 6x + 23..
We know from that fact that the number of zeros (real or complex) in a polynomial is the same as the degree of the polynomial..
The degree is the greatest/highest power of the terms, which in this case is 12 (since 12 is the greatest exponent..)..
The degree is 12, thus it means there are 12 zero's..
Answer: the third option (12 zero's )...