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3 years ago

GH has a midpoint at M (5,9). Point H is at (8,9). Find the coordinates of point G

Mathematics

1 answer:

natta225 [31]3 years ago

7 0

Answer:

(2,9)

Step-by-step explanation:

The midpoint of a point is halfway between two points. The distance between the midpoint and point H is 3 because the distance from 5 to 8 is 3. Therefore 3 away from 5 would be 2.

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3 years ago

Calculate two iterations of Newton's Method for the function using the given initial guess. (Round your answers to four decimal

pickupchik [31]

Answer:

The first and second iteration of Newton's Method are 3 and $\frac{11}{6}$ .

Step-by-step explanation:

The Newton's Method is a multi-step numerical method for continuous diffentiable function of the form $f(x) = 0$ based on the following formula:

$x_{i+1} = x_{i} -\frac{f(x_{i})}{f'(x_{i})}$

Where:

$x_{i}$ - i-th Approximation, dimensionless.

$x_{i+1}$ - (i+1)-th Approximation, dimensionless.

$f(x_{i})$ - Function evaluated at i-th Approximation, dimensionless.

$f'(x_{i})$ - First derivative evaluated at (i+1)-th Approximation, dimensionless.

Let be $f(x) = x^{2}-8$ and $f'(x) = 2\cdot x$ , the resultant expression is:

$x_{i+1} = x_{i} -\frac{x_{i}^{2}-8}{2\cdot x_{i}}$

First iteration: ( $x_{1} = 2$ )

$x_{2} = 2-\frac{2^{2}-8}{2\cdot (2)}$

$x_{2} = 2 + \frac{4}{4}$

$x_{2} = 3$

Second iteration: ( $x_{2} = 3$ )

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$x_{3} = \frac{11}{6}$

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3 years ago

Patricia has a bank balance of −$54. If she deposits $100, what is her new balance?

Nadya [2.5K]

Answer:

Her new balance would be $46 all you have to do is take -54 and add 100 to it

Step-by-step explanation:

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3 years ago

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