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sattari [20]
3 years ago
12

Find the distance between (2, 2) and (-4, 4). Round answer to the nearest tenth.

Mathematics
1 answer:
Naya [18.7K]3 years ago
6 0

Answer:

6.3

Step-by-step explanation:

First off, we need the distance formula, which is:

\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

If we plug in the points, we get:

\sqrt{(-4 - 2)^2 + (4 - 2)^2}

If we simplify everything under the square root, we get:

\sqrt{(-6)^2 + (2)^2}

\sqrt{36 + 4}

\sqrt{40}

In decimal, the answer is 6.3

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Answer:

Hi there!

The end behavior of a function f describes the behavior of the graph of the function at the "ends" of the x-axis. In other words, the end behavior of a function describes the trend of the graph if we look to the right end of the x-axis (as x approaches +∞ ) and to the left end of the x-axis

I'm sorry if that is not clear enough!

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If 5-y^2=x^2 then find d^2y/dx^2 at the point (2, 1) in simplest form. ​
ratelena [41]

Answer:

y"(2, 1) = -5

Step-by-step explanation:

Step 1: Define implicit differentiation

5 - y² = x²

Step 2: Find dy/dx

  1. Take implicit differentiation: -2yy' = 2x
  2. Isolate y': y' = 2x/-2y
  3. Isolate y': y' = -x/y

Step 3: Find d²y/dx²

  1. Quotient Rule: y'' = [y(-1) - y'(-x)] / y²
  2. Substitute y': y" = [-y - (-x/y)(-x)] / y²
  3. Simplify: y" = [-y - x²/y] / y²
  4. Multiply top/bottom by y: y" = (-y² - x²) / y³
  5. Factor negative: y" = -(y² + x²) / y³

Step 4: Substitute and Evaluate

y"(2, 1) = -(1² + 2²) / 1³

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y"(2, 1) = -5/1

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