Answer:
X= -15/7
Step-by-step explanation:
search up on photomath it's really useful
1. Given
2. Combine like terms
3. Subtraction POE (Property of Equality)
Answer:
2:(90) 4:B
Step-by-step explanation:
so what you do for 2 is that you times all the number thann you get youar ansmwer and for 4 you times 6 time 10 and thime 24 you get your answer
Answers:
- Total equation: x+y = 80
- Legs equation: 2x+4y = 248
- How many ducks? 36
- How many cows? 44
====================================================
Further explanation:
- x = number of ducks
- y = number of cows
x+y = 80 is the total equation (ie the head count equation) since we assume each animal has 1 head, and there are 80 heads total.
That equation can be solved to y = 80-x after subtracting x from both sides.
The legs equation is 2x+4y = 248 because...
- 2x = number of legs from all the ducks only
- 4y = number of legs from all the cows only
- 2x+4y = total number of legs from both types of animals combined
We're told there are 248 legs overall, so that's how we ended up with 2x+4y = 248
------------
Let's plug y = 80-x into the second equation and solve for x.
2x+4y = 248
2x+4( y ) = 248
2x+4( 80-x ) = 248
2x+320-4x = 248
-2x+320 = 248
-2x = 248-320
-2x = -72
x = -72/(-2)
x = 36
There are 36 ducks
Now use this x value to find y
y = 80-x
y = 80-36
y = 44
There are 44 cows.
------------
Check:
36 ducks + 44 cows = 80 animals total
36*2 + 44*4 = 72 + 176 = 248 legs total
The answers are confirmed.
H = (-5,5)
I = (1,9)
slope formula : (y2 - y1) / (x2 - x1)
slope = (9 - 5) / (1 - (-5) = 4 / (1 + 5) = 4/6 reduces to 2/3 <==
