Let's solve this problem using substitution. Given that x-y=8, x = 8 + y.
(Then x^2 = 64 + 16y + y^2)
This other equation is (x-2)^2 + (y-1)^2 = 25.
Easier to substitute 8 + y for x in (x-2)^2:
(8 + y - 2)^2 + (y-1)^2 = 25
(6 + y)^2 + (y-1)^2 = 25
36 + 12y + y^2 + y^2 - 2y + 1 = 25
Re-writing this in descending powers of y:
2y^2 + 10y + 36 + 1 = 25
Then 2y^2 + 10y - 12 = 0
Reduce by division by 2: y^2 + 5y - 6 = 0 = (y+3)(y+2) = 0
Then y=-3 and y=-2. From each of these we get x: x = 8 + y
So x = 8 - 3 = 5 and x = 8 - 2 = 6. There are common solutions.
Try (5, -3) and (6, -2). Do these points satisfy both of the given equations? If they do, you've shown that we have common solutions.
Answer:
Step-by-step explanation:
58.6667
Answer:
7x + 2y + 4
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
3 + 8x - 2y - x + 1 + 4y
<u>Step 2: Simplify</u>
- Combine like terms (x): 7x + 3 - 2y + 1 + 4y
- Combine like terms (y): 7x + 2y + 3 + 1
- Combine like terms: 7x + 2y + 4
22-21.9 = 0.1
You round it off adding a zero .
The answer is 1.0
You multiply by 100
You get 100
Which one is the positive slope A.) (2,-3,) and (1,-2), B.) (0,0) and (3,-3), C.) (-1,-1) and (5,4) , D.) (-3,0), (9,0)
bagirrra123 [75]
Answer:
C.
Step-by-step explanation:
Use slope = (y2-y1)/(x2-x1).
slope = (4 - -1)/(5 - -1)
slope = 5/6, positive
Hope this helps!
