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just olya [345]
3 years ago
5

The midpoint of FG is (6-4) and the coordinates of point Fare (-3, 6) What are the coordinates of point G?​

Mathematics
1 answer:
lora16 [44]3 years ago
4 0

Answer:

(15,-14)

Step-by-step explanation:

Given that,

The midpoint of FG is (6-4) and the corrdinates of F are (-3,6).

Let (x,y) be the coordinates of point G. Using mid point formula,

\dfrac{x+(-3)}{2}=6\ \text{and}\ \dfrac{y+6}{2}=-4\\\\x-3=12\ \text{and}\ y+6=-8\\\\x=15,\ \text{and}\ y=-14

So, the coordinates of G are (15,-14).

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The hours of daylight, y, in Utica in days x from January 1, 2013 can be modeled by the equation y = 2.89sin(0.0145x-1.40) + 10.
Pie

Answer:

9.3 hours

Step-by-step explanation:

Given

y = 2.89\sin(0.0145x-1.40) + 10.99.

Required

Hours of sunlight on Feb 21, 2013

First, calculate the number of days from Jan 1, 2013 to Feb 21, 2013

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So:

x = 52

So, we have:

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y = 2.89\sin(0.0145*52-1.40) + 10.99.

y = 2.89\sin(0.754-1.40) + 10.99.

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y = -1.740 + 10.99.

y = 9.25

<em></em>y = 9.3<em> --- approximated</em>

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Answer:

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Step-by-no step explanation:

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