The center of a circle is at a(-3,5) and has a radius of 5. name two points on the circle

The two points on the circle are  (-3,0) and (0,1).

Step-by-step explanation:

Given : The center of a circle is at A(-3,5) and has a radius of 5.

To find : Name two points on the circle?

Solution :

The general equation of the circle is

where, (h,k) are the center of the circle

(x,y) are the points on the circle

r is the radius of the circle.

We have given, A(-3,5)=(h,k) is the center

and r=5

Substitute in the equation,

Plotting this equation on the graph.

There are many the points on the circle few are (-3,0) and (0,1).

Refer the attached figure below.

Therefore, The two points on the circle are  (-3,0) and (0,1).

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752