Answer:
function f(x) = x + 3 has a zero at x = 3 since f(3) = 0.
Step-by-step explanation:
Given :
A cyclist travels 2 miles in 10 minutes and then a further 6 miles in 20 minutes without stopping.
To Find :
The cyclist's average speed in mph.
Solution :
We know, average speed is given by :
![Average\ speed = \dfrac{Total\ distance\ covered}{Time \ taken}\\\\Average \ speed = \dfrac{2+6}{10+20}\ miles/min\\\\Average \ speed = 0.267\ miles/min](https://tex.z-dn.net/?f=Average%5C%20%20speed%20%3D%20%5Cdfrac%7BTotal%5C%20distance%5C%20covered%7D%7BTime%20%5C%20taken%7D%5C%5C%5C%5CAverage%20%5C%20speed%20%3D%20%5Cdfrac%7B2%2B6%7D%7B10%2B20%7D%5C%20miles%2Fmin%5C%5C%5C%5CAverage%20%5C%20speed%20%3D%200.267%5C%20miles%2Fmin)
Hence, this is the required solution.
Answer:
A.88°
Step-by-step explanation:
Given,
RT is the diameter of the circle with center Q.
We have to find the measure of ∠RQS.
Solution,
![m\angle RQS=7x+18\ \ \ and\\m\angle TQS=9x+2](https://tex.z-dn.net/?f=m%5Cangle%20RQS%3D7x%2B18%5C%20%5C%20%5C%20and%5C%5Cm%5Cangle%20TQS%3D9x%2B2)
Since RT is the diameter. That is it makes a straight angle at the center Q.
And measure of straight angle is 180°.
So we can say that ∠RQS and ∠SQT makes a straight angle.
![\therefore \angle RQS+\angle SQT=180\°](https://tex.z-dn.net/?f=%5Ctherefore%20%5Cangle%20RQS%2B%5Cangle%20SQT%3D180%5C%C2%B0)
Now substituting the given values, we get;
![(7x+18)+(9x+2)=180\°\\\\7x+9x+20=180\°\\\\16x=180-20=160\°\\\\x=\frac{160}{16}=10\°](https://tex.z-dn.net/?f=%287x%2B18%29%2B%289x%2B2%29%3D180%5C%C2%B0%5C%5C%5C%5C7x%2B9x%2B20%3D180%5C%C2%B0%5C%5C%5C%5C16x%3D180-20%3D160%5C%C2%B0%5C%5C%5C%5Cx%3D%5Cfrac%7B160%7D%7B16%7D%3D10%5C%C2%B0)
We get the value of 'x'.
By substituting the value of x, we can find the measure of ∠RQS.
![m\angle RQS=7x+18=7\times10+18=70+18=88\°](https://tex.z-dn.net/?f=m%5Cangle%20RQS%3D7x%2B18%3D7%5Ctimes10%2B18%3D70%2B18%3D88%5C%C2%B0)
![m\angle TQS=9x+2=9\times10+2=90+2=92\°](https://tex.z-dn.net/?f=m%5Cangle%20TQS%3D9x%2B2%3D9%5Ctimes10%2B2%3D90%2B2%3D92%5C%C2%B0)
Hence the measure of ∠RQS is 88°.
I think it would be 2x2uehhehehehegdgwgegege