Can someone help me solve this problem

18 and 40

Step-by-step explanation:

Let x be the age of Claire and y the age of her mother

Claire's mother is 4 years more than twice Claire's age

The sum of their ages are is 58

the system is:

Multiply (y+x = 58) by -1 and then add it to (y = 2x+4) to eliminate y

y= 58-18 = 40

so claire's mother is 40 years old and claire is 18

a - base

b - exponent

so,

the answer would be d.

step-by-step explanation:

move all variables to the left side and all constants to the right side

(x−3)^2+(y−1)^2=16

this is the form of a circle. use this form to determine the center and radius of the circle.

( x − h ) 2 + ( y − k ) 2 = r 2

match the values in this circle to those of the standard form. the variable   r   represents the radius of the circle,   h   represents the x-offset from the origin, and   k   represents the y-offset from origin.

r = 4

h = 3

k = 1

the center of the circle is found at   ( h , k ) .

center:   ( 3 , 1 )

these values represent the important values for graphing and analyzing a circle.

center:   ( 3 , 1 ).

radius:   4