Answer:
Step-by-step explanation:
Given
Solving (a): In vertex form
The vertex form of an equation is:
To do this, we make use of completing the square method.
We have:
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Take the coefficient of x (i.e. -6)
Divide by 2; -6/2 = -3
Square it: (-3)^2 = 9
Add and subtract the result to the equation
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Factorize
Factor out x - 3
Express as squares
Hence, the vertex form of is:
Solving (b): State the coordinates of the vertex.
In ; the vertex is: (h,k)
The vertex of will be
Answer:
B) 176 ft²
Step-by-step explanation:
The picture below is the attachment for the complete question. The figure has 3 halves of a circle and a square . The area of the figure is the sum of their area.
Area of a square
area = L²
where
L = length
L = 9 ft
area = 9²
area = 81 ft²
Area of the 3 semi circles
area of a single semi circle = πr²/2
For 3 semi circle = πr²/2 + πr²/2 + πr²/2 or 3 (πr²/2)
r = 9/2 = 4.5
area of a single semi circle = (3.14 × 4.5²)/2
area of a single semi circle = (3.14 × 20.25
) /2
area of a single semi circle = 63.585
/2
area of a single semi circle = 31.7925
Area for 3 semi circles = 31.7925 × 3 = 95.3775 ft²
Area of the composite figure = 95.3775 ft² + 81 ft² = 176.3775 ft
Area of the composite figure ≈ 176 ft²
Answer: it should be C
Step-by-step explanation:
proof is (countable) an effort, process, or operation designed to establish or discover a fact or truth; an act of testing; a test; a trial while theorem is (mathematics) a mathematical statement of some importance that has been proven to be true
<h2>90 sq in</h2>
Step-by-step explanation:
The total area in the figure can be divided into two areas.
The is the area of the rectangle.
The is the area of the adjacent triangle to the rectangle.
Total area=90