Suppose you flip a penny and a dime. Use the following table to display all possible outcomes.
penny ?
head ?
dime?
head?
tail?
tail?
If each single outcome is equally likely, you can use the table to help calculate probabilities. What is the probability of getting
one head and one tail, on either coin?
P(1 head and 1 tail) -- 2/4=1/2
P(1 head and 1 tail) -3/4
P(1 head and 1 tail)-4/4=1. P(1 head and 1 tail)=1/4

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c

probably .5

i can on others if necessary.

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