Answer:
x= -3
Step-by-step explanation:
-2 x 3 =6 so 6+8=14
Based on the scenario given, the equation to describe the situation will be: c + 125 + 89 = 500 and 286 cards need to be collected.
Number of cards given by grandfather = 125 cards
Number of cards that will be given by father = 89 cards
Therefore, based on the information given, the equation to describe the situation will be:
c + 125 + 89 = 500
Therefore, we can then use the equation to calculate the number of cards that need to be collected. This will be:
c + 125 + 89 = 500
c + 214 = 500
c = 500 - 214
c = 286
Therefore, the person needs to collect 286 cards.
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Answer:
C
Step-by-step explanation:
Im pretty sure, but double check
Answer: 84
<u>Step-by-step explanation:</u>
Set up a proportion as follows: 
Cross multiply: 12x = 7 × 144
Divide by 12: x = 7 × 12
Simplify: x = 84
Answer:
9·x² - 36·x = 4·y² + 24·y + 36 in standard form is;
(x - 2)²/2² - (y + 3)²/3² = 1
Step-by-step explanation:
The standard form of a hyperbola is given as follows;
(x - h)²/a² - (y - k)²/b² = 1 or (y - k)²/b² - (x - h)²/a² = 1
The given equation is presented as follows;
9·x² - 36·x = 4·y² + 24·y + 36
By completing the square, we get;
(3·x - 6)·(3·x - 6) - 36 = (2·y + 6)·(2·y + 6)
(3·x - 6)² - 36 = (2·y + 6)²
(3·x - 6)² - (2·y + 6)² = 36
(3·x - 6)²/36 - (2·y + 6)²/36 = 36/36 = 1
(3·x - 6)²/6² - (2·y + 6)²/6² = 1
3²·(x - 2)²/6² - 2²·(y + 3)²/6² = 1
(x - 2)²/2² - (y + 3)²/3² = 1
The equation of the hyperbola is (x - 2)²/2² - (y + 3)²/3² = 1.
