STEP-BY-STEP SOLUTION:
( x + 4 )^2 + y^2 = 22
x^2 + 2 × x × 4 + 4^2 + y^2 = 22
x^2 + 8x + 16 + y^2 = 22
y^2 = 22 - x^2 - 8x - 16
y^2 = - x^2 - 8x + 6
FINAL ANSWER:
Therefore, the answer is:
D. y^2 = - x^2 - 8x + 6
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Diane has 380 coins (rounded to the nearest 10)
1) 3 groups
2) Animals that fly
3) 32 (? It’s blurry but the answer is the percentage in the blue part)
4) A cow would be classified in “animals that walk” and a whale would be classified in “animals that swim”
5) It would not be useful now because animals like frogs can do multiple things, in early stages it could swim but when it gets older it could live on land. (Sorry if 5 is not the best answer, but it’s how I’d answer it.)
Answer:
34 = 2A + 1B + 4C
35 = 3A + 2B+ 2C
49 = 5A + 3B+ 2C
Pairs the 1st and 2nd equation, then eliminates C:
34 = 2A + 1B + 4C
35 = 3A + 2B + 2C
34 = 2A + 1B + 4C
-70 = -6A + -4B + -4C <---- multiplies 2nd equation by -2
Adds them together
-36 = -4A + -3B
36 = 4A + 3B <----- please label this equation ALPHA
Next, pairs the 2nd and 3rd equations, and eliminates C:
35 = 3A + 2B+ 2C
49 = 5A + 3B+ 2C
Subtracts the top equation from the bottom:
49-35 = 5a-3a + 3b-2b + 2c-2c
14 = 2a + b <--- please label this equation BETA
ALPHA: 36 = 4A + 3B
BETA: 14 = 2a + b
Solves the 2x2 system by substitution:
BETA: 14 - 2a = b <---- solves equation BETA for b
Substitutes into equation ALPHA:
36 = 4a + 3(14 - 2a)
36 = 4a + 42 - 6a
36 = 42 - 2a
-6 = -2a
a=3
b = 14 - 2a = 14 - 2(3) = 14 - 6 = 8
34 = 2a + b+ 4c
34 = 2(3)+ 8 + 4c
34 = 6+8 + 4c
34 = 14 + 4c
20 = 4c
c=5
1 pound of apples cost $3
1 pound of berries cost $8
1 pound of cherries cost $5
