A reflection over the x axis means y valuable will be the opposite. C
Answer:
The answer to your question is This system of equations can not be solved. They do not cross.
Step-by-step explanation:
2x - 6y = 5 ----- (I)
x - 3y = -12 ----- (II)
I.- Solve equation II for x
x = 3y - 12 ------ (III)
2.- Substitute equation III on equation I
2(3y - 12) - 6y = 5
3.- Expand
6y - 24 - 6y = 5
6y - 6y = 5 + 24
0 = 29
This system of equations can not be solved.
Answer:
See explanation below.
Step-by-step explanation:
The prime numbers are bold:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17
18 19 20 21 22 23 24 25 26 27 28 29 30 31
a) We can see that as we go higher, twin primes seem less frequent but even considering that, there is an infinite number of twin primes. If you go high enough you will still eventually find a prime that is separated from the next prime number by just one composite number.
b) I think it's interesting the amount of time that has been devoted to prove this conjecture and the amount of mathematicians who have been involved in this. One of the most interesting facts was that in 2004 a purported proof (by R. F. Arenstorf) of the conjecture was published but a serious error was found on it so the conjecture remains open.
The total cost is c the you just multiply 14 by the number of hours so it would be C=$14h
Answer:
36° and 54°
Step-by-step explanation:
Let one of the acute angle be "x"
We are told that the other acute angle is 1.5 times the other angle = 1.5x
The right angle = 90°
Find the value of x:
Therefore:
90 + 1.5x + x = 180 (sum of interior angles of triangle)
Add like terms
90 + 2.5x = 180
2.5x = 180 - 90
2.5x = 90
x = 90/2.5
x = 36° (one acute angle)
✔️Second acute angle = 1.5x
Plug in the value of x
= 1.5(36)
= 54°