Does the point (1,√3) lie inside outside or on the circle with a center at the origin containing the point (3,0)? Question 2 options: Inside On Outside

Point lies inside the circle.

Step-by-step explanation:

To determine the point which lies outside the circle, calculate the distance between the points and compare that value with radius of circle.

If d<r point lies inside the circle, d>r point lies outside circle and d=r point is on the circle.  

Let O be the center of origin of the circle. So, .  

Also given that circle contain point . So,

Now equation of circle having center (h,k) is given by the equation,

Substituting the value,

Now calculate the distance between point and .

Distance formula between points and is given as,

Now,

Simplifying,

Since r = 3 and d = 2.64. That is, d < r.

So point lies inside the circle.

a. turk and mcalister

b. howard, mission, and market

c. yes. since streets end some do not cross yet are not parallel to others. example: mcalister and 5th

step-by-step explanation:

parallel lines are lines which do not intersect ever and look a lot like railroad tracks. turk, mcalister and golden gate are examples of these.

intersect are streets which cross each other and a car on one can reach the other. howard, mission, and market intersect with 6th.

skew lines are lines which neither intersect nor are parallel. these lines exist here because some streets end and never intersect another like mcalister and 5th.

5+2x=a

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