Answer: 7.71 feet.
Step-by-step explanation: <em>The formula for finding the circumference of a circle is π × d + d.</em>
The diameter is 3 feet. Substitute this into the equation:
π × 3 + 3.
Solve -
3.14 × 3 = 9.42
of 9.42 = 4.71
4.71+3 = 7.71
Round -
The answer is already rounded.
Hope this helped!~
Answer:
-1/2
Step-by-step explanation:
In a linear relationship, the rate of change of one variable with respect to the other is <em>constant</em>. When we talk about <em>change</em>, we're looking for a <em>difference</em> of values.
If we look at the first and second rows, the change in x is 1 - (-1) = 2, while the change in y is 9 - 10 = -1. Usually we refer to these changes as Δx and Δy (read like "delta-x" and "delta-y"), and the <em>rate of change </em>is the number we get by dividing one of these by the other.
The rate of change we're used to seeing, sometimes called the <em>slope</em>, is Δy/Δx. So, using the values we've already found:
The polar equation r = - 4 · cos θ is equivalent to the equation of the circle (x + 2)² + y² = 2², whose radius is 2 and center is (h, k) = (- 2, 0).
<h3>How to transform a polar expression into its rectangular form</h3>Polar and rectangular forms are related by this relation: (x, y) → (r · cos θ, r · sin θ), where r is the radial distance with respect to the origin and θ is the angle in standard position. We can use this fact to change the given expression into its rectangular form:
r = - 4 · (x / r)
r² = - 4 · x
x² + y² = - 4 · x
y² = - (x² + 4 · x)
y² - 4 = - (x² + 4 · x + 4)
y² - 4 = - (x + 2)²
(x + 2)² + y² = 4
(x + 2)² + y² = 2²
In a nutshell, the polar equation r = - 4 · cos θ is equivalent to the equation of the circle (x + 2)² + y² = 2², whose radius is 2 and center is (h, k) = (- 2, 0).
To learn more on polar equations: brainly.com/question/27341756
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