Conditional statements and laws. 1. If it is raining, I will use an umbrella.
It is raining.
Therefore, I will use an umbrella.
2. If the sun sets, it will be dark outside.
It is not dark outside.
Therefore, the sun hasn’t set yet.
3. If I do well on my assignments, my grade will improve.
If my grade improves, my parents will be happy.
Therefore, if I do well on my assignments, my parents will be happy.
4. If I cook dinner, my daughter will eat.
My daughter ate.
Therefore, I cooked dinner.

ANSWER OPTIONS:
Law of Detachment, not a valid conclusion has been made, Law of Syllogism, Or Law of Contrapositive.

idk

step-by-step explanation:

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

the answer to this is a. a^2 + b^2 = c^2

i believe a. 12x≥120 is the answer