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Answer:
6 +8√5
Step-by-step explanation:
The leg length can be reduced to simpler form:
3 +√45 = 3 +√(3²·5) = 3 +3√5
The perimeter is the sum of the side lengths, so is ...
(3 +3√5) +(3 +3√5) +(2√5) = 6 +8√5 . . . perimeter
Area formula: pi * radius * radius
Radius=1/2diameter=1/2(7)=3.5
3.5*3.5*pi=12.25pi square feet
Circumference formula: pi * diameter
7*pi=7pi feet
Answer:
<h3>
f(x) = - 3(x + 8)² + 2</h3>
Step-by-step explanation:
f(x) = a(x - h)² + k - the vertex form of the quadratic function with vertex (h, k)
the<u> axis of symmetry</u> at<u> x = -8</u> means h = -8
the <u>maximum height of 2</u> means k = 2
So:
f(x) = a(x - (-8))² + 2
f(x) = a(x + 8)² + 2 - the vertex form of the quadratic function with vertex (-8, 2)
The parabola passing through the point (-7, -1) means that if x = -7 then f(x) = -1
so:
-1 = a(-7 + 8)² + 2
-1 -2 = a(1)² + 2 -2
-3 = a
Threfore:
The vertex form of the parabola which has an axis of symmetry at x = -8, a maximum height of 2, and passes through the point (-7, -1) is:
<u>f(x) = -3(x + 8)² + 2</u>
