General rule for the reflection. r(x,y,z)= f(x,-y,z)
Results:
P: (0, - 5, 4)
Y: (-2, - 7, 4)
R: (0, - 7, 4)
A: (0, - 7, 6)
General rule for the translation: t(x,y,z) = r(x+2, y-4,z+3)
Result:
P: (0-2, -5+4 , 4-3) = (-2, -1, 1)
Y: (-2-2, - 7+4, 4-3) = (-4, -3, 1)
R: (0-2, - 7+4, 4-3) = (-2, -3, 1)
A: (0-2, - 7+4, 6-3) = (-2, -3, 3)
Answer:
No solutions exist because the situation describes two lines that have the same slope and different y-intercepts.
Step-by-step explanation:
This question can be solved by a system of equations.
I am going to call the numbers x and y.
A number is equal to twice a smaller number plus 3.
Greater number is x, and smaller is y. So

The same number is equal to twice the sum of the smaller number and 1.
This means that 
Equaling the values for x:



Since division by 0 does not exist, it means that there is no solution for the system.
The probability that Gina randomly selected two red marbles is 1/19
<u>Explanation:</u>
Total number of marbles = 7 + 5 + 8
= 20
The probability of getting two red marbles in the fraction form is given as:
P(first red marble) = number of red marbles / total number of marbles
P(first red marble) = 
P(second red marble) = number of red marbles after 1 white marble is removed / total number of marbles after 1 red marble is removed.
P(first red marble) = 
P(two red marbles) = P(first) X P(second)
= 
= 
Therefore, the probability that Gina randomly selected two red marbles is 1/19
Answer:
49/12
Step-by-step explanation:
you multiply the top number by the second top number and the bottom number by the second bottom number so 7 x 7 = 49 and 4 x 3 = 12, so the answer is 49/12
Answer:
3 minutes
Step-by-step explanation:
Let's say that the bathtub is 15L
It would take 7.5 mins to fill 15L
15L/7.5 = 2L per minute
The other tap would take 5 minutes to fill 15L
15L/5 = 3L per minute
3L per minute + 2L per minute = 5L per minute
15L/5L per min = 3 minutes
Sorry for the delay. Accidentally pressed the answer button without the answer. Hope I helped.