A rectangle on a coordinate plane is translated 5 units up and 3 units to the left. Which rule describes the

Mathematics

1 answer:

vekshin12 years ago

5 0

Answer:

(x+5, y-3)

Step-by-step explanation:

I would say this because when a plane is translated up it would be positive and when it's translated to the left it would be negative,

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Find the area of an octagon with a radius of 6 meters

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A regular octagon has all its eight sides congruent. The line segments joining each of the vertices of a regular octagon to its center are called the radii of the octagon. These 8 radii divide a regular octagon into 8 congruent isosceles triangles. Area of each isosceles triangle is

$A_{triangle}=\dfrac{1}{2}a^2\sin \alpha$ ,

where a is length of the side of the octagon and $\alpha$ is the angle between two radii of the octagon.

In regular octagon

$\alpha=\dfrac{360^{\circ}}{8}=45^{\circ}$ .

Then the area of regular octagon is

$A_{octagon}=8A_{triangle}=8\cdot \dfrac{1}{2}a^2\sin \alpha=4\cdot (6)^2\cdot \sin 45^{\circ}=4\cdot 36\cdot \dfrac{\sqrt{2}}{2}=72\sqrt{2}$ sq. m.

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4 years ago

Explain how you can determine that the following system has one unique solution – without actually solving the system.

MakcuM [25]

Answer:

Step-by-step explanation:

Well, first you'd have to get the equations in slope-intercept form in order to make it easier for you to see it in the bigger picture. 2x+y=4 would be y= 2x-4, and the other equation would be y= x-3. If you were to solve it, there would be one solution since the y's cancel out. If you graphed it, there would be a point of intersection, unlike when the lines are parallel if there's 0 solutions or only one line's there if there's infinitely many solutions.

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The National Oceanic and Atmospheric Administration tracks the amount of oysters harvested from the Chesapeake Bay each year:

Alexandra [31]

The EXPONENTIAL REGRESSION equation obtained by fitting the data is $y = 58.031(0.964)^x$

To obtain the exponential regression equation which models the data, we could use technology, we involves Inputting the data into an EXPONENTIAL REGRESSION CALCULATOR or EXCEL

Using an exponential regression calculator :

The regression equation obtained is :

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