Tyrell makes a table to show who in his class is wearing lace-up shoes and who is wearing slip-ons. there are 17 girls and
15 boys in all. there are 8 boys wearing lace-up shoes and 12 girls wearing slip-on shoes. which table correctly shows the
data?
girls
boys
total
lace-up
slip-on
3
12
89
11
total
15
17
21
lace-up
5
slip-on
12
total
17
girls
boys
total
15
13
19
lace-up
slip-on
total
girls
boys
total
12
15
17

the dimensions are:

step-by-step explanation:

we want to find the dimensions of a rectangular box with volume of

we factor to obtain;

we rewrite the rightmost factor to obtain;

recall that:

we apply difference of two squares formula to obtain;

hence the dimensions are

126 maybe. sorry

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like:

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