Answer: 8
Step-by-step explanation:
Since AB is a tangent, angle CAB is a right angle. Thus, by the Pythagorean theorem,
Circumference of a circle=diameter times pi
50.24=d(3.14)
d=16
radius is half of diameter so radius is 8
Area of a circle=pi(r^2)
(3.14)(8^2)=(3.14)(64)=200.96
9514 1404 393
Answer:
a) x = -1, x = 4
b) y = x^2 -3x -4
Step-by-step explanation:
a) We observe the x-intercepts are x = -1 and x = 4. These are the solutions to y = 0, which is usually what we want in cases like this.
The solutions are x=-1 and x=4.
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b) We know two of the factors are (x +1) and (x -4). There may be an additional constant factor for vertical scaling. One point we can check is the y-intercept.
y = a(x +1)(x -4)
For x=0, this is ...
y = a(1)(-4) = -4a
The y-intercept is y = -4, so we have a=1.
The factored equation is ...
y = (x +1)(x -4)
Multiplying this out gives the equation in standard form:
y = x^2 -3x -4
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<em>Additional comment</em>
Your teacher may want the standard form equation to be ...
x^2 -3x -4 = 0
This is the equation of two specific points: x=-1 and x=4. It is not the equation of the graph.
Answer:
Step-by-step explanation:
s
Answer:
8% increase
Step-by-step explanation:
The length after the increase:
30 x 1.1 = 33cm
The width after the increase:
20 x 1.05 = 21cm
New perimeter:
2(33 + 21) = 108 cm^2
Old perimeter:
2(30 + 20) = 100 cm^2
Percentage increase of area:
108 / 100 = 1.08 = 8% increase