Answer:
137 in.^2
Step-by-step explanation:
A = nsa/2
where
n = number of sides = 9
s = length of side = 4.7 in.
a = length of apothem = 6.5 in.
A = (9)(4.7 in.)(6.5 in.)/2
A = 137.475 in.^2
Answer: 137 in.^2
No, there is not a product rule for integration.
To integrate (2x - 1)(6x + 5), start expanding the product:
(2x - 1)(6x + 5) = 12x^2 + 10x - 6x - 5 = 12x^2 + 4x - 5.
Now, I guess you know how to integrate that:
∫ (12x^2 + 4x - 5) dx = ∫12x^2 dx + ∫4x dx + ∫ (-5) dx = 4x^3 + 2x^2 - 5x + C
The computation shows the radius of the circle that is inscribed in the isosceles triangle will be 3.33cm.
<h3>How to calculate the radius?</h3>
From the information given, the isosceles triangle the length of a base is 10 cm and the length of a leg is 13 cm.
Let A = area of the triangle
Let S = semi perimeter of the triangle.
The radius will be: = A/S
where,

The radius will be:

= 3.33cm
In conclusion, the radius is 3.33cm.
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Answer:
y = (x - 3)² - 4 Vertex form
(3, -4) Vertex
Step-by-step explanation:
f(x) = x² - 6x + 5
Complete the square
y = (x - 3)² + 5 - (-3)²
y = (x - 3)² + 5 - 9
y = (x - 3)² - 4 Vertex form
(3, -4) Vertex