Answer:
Step-by-step explanation:
<u>Given equation:</u>
- x² + y² + 8x - 4y - 7 = 0
<u>Convert this to standard form by completing the square:</u>
- (x - h)² + (y - k)² = r², where (h, k) - center, r - radius
- x² + 2*4x + 4² + y² - 2*2y + 2² - 16 - 4 - 7 = 0
- (x + 4)² + (y - 2)² - 27 = 0
- (x + 4)² + (y - 2)² = 27
- (x + 4)² + (y - 2)² = (√27)²
The center is (- 4, 2) and the radius is √27
Step-by-step explanation:
Given
A container has 19.5 liters of water
A cup can hold 210 ml of water
1 L is equivalent to 1000 ml
So, 19.5 L is equivalent to 
So, the number of requires to hold this much water
92.85 implies 92 full cups and 1 cup which is partially filled. Hence, almost 92 cups can be filled completely.
Answer: 5.5, 2, 196
Step-by-step explanation:
A perfect cube is a number that resulted from multiplying a number three times by itself. A perfect cube is also a number that has an exact cube root.
8x^12 ⇒ 2x^4 * 2x^4 * 2x^4
27x^9 ⇒ 3x³ * 3x³ * 3x³
Only two monomials are perfect cubes.
