Answer:
Center: (3,5)
Radius: 2
Step-by-step explanation:
x² + y² - 6x - 10y + 30 = 0
Put equation into center-radius form. First regroup terms:
(x²-6x) + (y²-10y) = -30
Complete the squares:
(x²-6x+3²) + (y²-10y+5²) = -30 + 3² + 5²
(x-3)² + (y-5)² = 4 = 2²
Center: (3,5)
Radius: 2
The vertex of the parabola is <span><span>(<span>2,1</span>)</span><span>(<span>2,1</span>)</span></span>
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So, the axis of symmetry is the line <span><span>x=2</span><span>x=2</span></span>
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The least common multiple (LCM) of a set of numbers is the lowest value that all of the numbers can be divided by and have a result of a whole number.
In this case, the least common multiple is 21 because 21/7=3 and 21/21=1.
Answer:
Area (A) = ½ (b × h) square units
Step-by-step explanation:
The general formula for calculating the area of a triangle is; Area (A) = ½ (b × h) square units, where; A is the area, b is the base, and h is the triangle's height. The triangles might be different in nature, but it important to note that this formula applies to all the triangles.
