<em><u>Step-by-step explanation:</u></em>
FIRST, we want to understand every property:
Associative Property: The associative property states that you can add or multiply regardless of how the numbers are grouped so (5 + 4) + 3 = 5 + (4 + 3)
Commutative Property: Commutative is the one that refers to moving stuff around so 3 + 2 = 2 + 3
Additive Inverse Property: This is the number that when added to the original number, equals 0 or it's the opposite of the number so 5 <- is the original number and -5 <- is the additive inverse.
Simplify: Is just to add like terms, and make the equation the simplest.
1. ORIGINAL EXPRESSION
2. Additive Inverse Property
3. Commutative property
4. Associative Property
5. Simplify
6. Simplify
Answer:
1
Step-by-step explanation:
x+y=-9
y=-x-9
So slope of original line is -1.
The line perpendicular to the original line is -1/-1 = 1
Answer:
first one linear
second one quadratic
linear
Step-by-step explanation:
Answer:
y = 11
Step-by-step explanation:
8 × 2 + 5²- y = 2(y + 1) + 6
8 × 2 + 5²- y = 2y + 2 + 6
8 × 2 + 25 - y = 2y + 2 + 6
16 + 25 - y = 2y + 2 + 6
41 - y = 2y + 8
41 (- y + y) = (2y + y) + 8
41 = 3y + 8
41 - 8 = 3y (+ 8 - 8)
33 = 3y
33/3 = 3y/3
y = 11
Answer:
Nine
Step-by-step explanation:
3 dollars for children tickets : x
5 dollars for adult tickets: y
Equation is:
3x+5y=57
Where 57 is the total amount spent
x+y=15
where 15 is the total number of tickets bought
3x+5y=57
5(x+y)=5(15)
___________________
3x+5y=57
5x+5y=75
minus the equations top to bottom=
-2x= -18
x= -18/(-2)
x=9
He bought a total of 9 children tickets
