Answer:
<u>15/2</u>
Step-by-step explanation:
- 30/4=7.5
- convert the decimal to a fraction
- 7.5 would give you 15/2 in fraction form
- since you can't simplify 15/2 anymore, <u>15/2</u> would be your answer.
The common difference is 12. However, let’s take a look at how we got there!
First take the 2nd term (23) and find the difference from the 1st term (11). The difference is 12.
Repeat this for the remaining terms…
35 - 23 = 12
47 - 35 = 12
59 - 47 = 12
The common difference is 12.
We can solve this system of equations using substitution.
2y + 2x = 8
Solve for x.
2x = -2y + 8
Divide all terms by 2.
x = -y + 4
Take the equation x = -y + 4 and substitute it into the second system of equation.
2y - 4x = 2
2y - 4(-y + 4) = 2
Simplify by distributing.
2y + 4y - 16 = 2
Combine like terms.
6y - 16 = 2
6y = 18
y = 3
Now that you know the numerical value of y, substitute y with 3 in both equations to find x.
1) 2y + 2x = 8
2(3) + 2x = 8
6 + 2x = 8
2x = 2
x = 1
2) 2y - 4x = 2
2(3) - 4x = 2
6 - 4x = 2
-4x = -4
x = 1
The value of x is 1, and the value of y is 3.
Solution: B) (1, 3)
290
There's 2 hundreds = 200
Then you have 9 in the tens digit.
The only possible answer for the one's digit is 0 since 0 + 9 = 9.
So the answer is 290.
Answer:
C. 180-degree rotation counterclockwise followed by a translation of 5 units to the left
Step-by-step explanation:
