Answer: length of arc = 4.71 feet
Step-by-step explanation:
An arc is a portion of the circumference of a circle. The formula for determining the length of an arc is expressed as
Length of arc = θ/360 × 2πr
Where
θ represents the central angle.
r represents the radius of the circle.
π is a constant whose value is 3.14
From the information given,
Radius, r = 2 feet
θ = 135 degrees
Therefore,
Length of arc = 135/360 × 2 × 3.14 × 2 = 4.71 feet
Answer:
No
Step-by-step explanation:
x-y less than -2
4x+y less than 3
4x less than 3+y
4x less than 3y
g(x) –f(x) = 3x –9 - (<span>5x –1)
</span> g(x) –f(x) = 3x –9 - 5x + 1
g(x) –f(x) = -2x - 8
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hope it helps
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Answer:

Step-by-step explanation:
Distance between two points:
Suppose that we have two points,
and
. The distance between them is given by:

Equation of a circle:
The equation of a circle with center
and radius r has the following format:

Center at the origin;
This means that 
So



Passes through (4, 6)
The radius is the distance from this point to the center. So




So

Then


Answer:
(x + 4)(x – 8)
Step-by-step explanation:
1. (x – 16)(x + 2)
x² - 2x - 16x - 32
x² - 18x - 32
2. (x + 2)(x – 16)
x² - 16x + 2x - 32
x² - 14x - 32
3. (2 – )(x + 4)
2x + 8
4. (x + 8)(x – 4)
x² - 4x + 8x - 32
x² + 4x - 32
5. (x + 4)(x – 8)
x² - 8x + 4x - 32
x² - 4x - 32
6. (x – 4)(x+8)
x² + 8x - 4x - 32
x² + 4x - 32