Answer:
(x, y ) → (x + 6, y - 10 )
Step-by-step explanation:
6 units right is + 6 in the x- direction
10 units down is - 10 in the y- direction
the translation rule is
(x, y ) → (x + 6, y - 10 )
Answer:
3 7/8
Step-by-step explanation:
_____ + 5 3/4 = 9 5/8
x + 5 3/4 = 9 5/8
Subtract 5 3/4 from each side
x + 5 3/4 - 5 3/4 = 9 5/8 - 5 3/4
x = 9 5/8 - 5 3/4
Get a common denominator of 8
5 3/4 *2/2 = 5 6/8
x = 9 5/8 - 5 6/8
We need to borrow 1 from the 9 in the form of 8/8
x= 8 + 8/8+ 5/8 - 5 6/8
x = 8 13/8 - 5 6/8
= 3 7/8
Let x = the number.
"increased by" tells you we are adding.
"twice a number" tells you 2 times a number.
16 + 2x = - 24
Subtract 16 from both sides so that we have the variable on one sides and the constants on the other.
2x = - 24 - 16
2x = - 40
Divide by 2 to isolate the variable.
x = - 40/2 = - 20
Your solution is - 20.
To check your answer, plug in.
16 + 2(-20) = - 24
16 - 40 = - 24
- 24 = - 24
This question is quite simple really. They are basically asking you to combine like terms. You have two different figures with the variable y, so you just combine the them. It would then be 3x + 2y. You cannot simplify this equation any further since there is nothing to solve for or anymore like terms to combine.