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2 years ago

What is the equation of the circle with radius, r = 11 , and the center at (0, - 7)

Mathematics

1 answer:

Dimas [21]2 years ago

4 0

Answer:

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Given (h, k) = (0, - 7) and r = 11, then

(x - 0)² + (y - (- 7))² = 11², that is

x² + (y + 7)² = 121 → A

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Given that f(–2.4) = -1 and f(-1.9) = -8, approximate f'(-2.4). f'(-2.4)

lora16 [44]

Answer:

f'(-2.4) ≈ -14

General Formulas and Concepts:
Algebra I

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Slope Formula: $\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}$

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Derivative Notation

Step-by-step explanation:

*Note:

The definition of a derivative is the slope of the tangent line.

Step 1: Define

Identify.

f(-2.4) = -1

f(-1.9) = -8

Step 2: Differentiate

Simply plug in the 2 coordinates into the slope formula to find slope m.

[Derivative] Set up [Slope Formula]: $\displaystyle f'(-2.4) \approx \frac{f(x_2) - f(x_1)}{x_2 - x_1}$
Substitute in coordinates: $\displaystyle f'(-2.4) \approx \frac{-8 - -1}{-1.9 - -2.4}$
Evaluate: $\displaystyle f'(-2.4) \approx -14$

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Learn more about derivatives: brainly.com/question/17830594

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Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

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Step-by-step explanation:

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What is the effect on the graph of the function f(x) = 2x when f(x) is replaced with f(−5x)?

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Answer:

C) horizontal compression and reflection across the y-axis

Step-by-step explanation:

To quickly solve this problem, we can use a graphing tool or a calculator to plot the equation.

Please see the attached image below, to find more information about the graph

The original equation is:

f(x) = 2x

The new equation is:

f(-5x) = 2(-5x)

f(-5x) = -10*x

The answer is

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2 years ago

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Alex Ar [27]

Answer:

9*4*1*2

Step-by-step explanation:

9×4×1×2

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