Answer:
vertex is (4,-25)
Step-by-step explanation:
To find out the vertex we use formula
From the given f(x), the value of a=1, b=-8 and c=-9
Plug in the values in the formula
x=4
Now find the value of y
plug in 4 for x in f(x)
The value of y is -25
The vertex is (4,-25)
Answer:
x = 
Step-by-step explanation:
Given a quadratic in standard form, ax² + bx + c : a ≠ 0
Then the axis of symmetry is a vertical line with equation x = h
where h is the x- coordinate of the vertex.
The x- coordinate of the vertex is
= - 
f(x) = 5x² - 3x + 5 ← is in standard form
with a = 5 and b = - 3, thus
= - 
=
Thus the equation of the axis of symmetry is x =
Answer:
Surface area of square pyramid is computed as follows:
A = a² + a*√(a² + 4h²)
where <em>a</em> is the base length and <em>h</em> is the height.
If a model of the square pyramid is scaled down by a factor of x, then the surface area will be:
A' = (a/x)² + (a/x)*√[(a/x)² + 4(h/x)²]
A' = a²/x² + a/x * √[a²/x² + 4h²/x²]
A' = a²/x² + a/x * √[(a² + 4h²)/x²]
A' = a²/x² + a/x * √(a² + 4h²)/√x²
A' = a²/x² + a/x² * √(a² + 4h²)
A' = 1/x² * [a² + a*√(a² + 4h²)]
A' = 1/x² * A
That is, the surface area will be 1/x² times the original surface area. If h = 25 ft and a = 15 ft:
A = 15² + 15*√(15² + 4(25)²) = 1008.02 ft²
The factor is not mentioned in the question, nevertheless, the area will be 1008.02/factor² ft²
Answer:
D
Step-by-step explanation:
The equation is (assuming you meant the instead of two): T = 15c
