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3 years ago

Which of the following equations will produce the graph shown?

Mathematics

1 answer:

Artemon [7]3 years ago

5 0

Try this option (it is not the only way):
the points (0;0) and (2;2) belong to the curve. Using the coordinates of these points it is possible to calculate the equation.
$y= \frac{1}{2}x^2;$

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Which transformation shows that the two given circles are similar? Circle A -- center(2, 0), radius 8 Circle A' -- center(-1, 5)

Goryan [66]

Translate Circle A (x-3, y+5) and then dilate by a scale factor of 3/8 or 0.375

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3 years ago

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If you divide the total distance traveled on a car trip (as determined by the odometer) by the elapsed time of the trip, are you

PSYCHO15rus [73]

In general, you're calculating the magnitude of average velocity. In fact, speed is a vector, and as such it also has a direction and orientation.

So, if you compute the average speed, you're assuming that you went directly from point A to point B, which is basically never the case.

If, instead, you actually moved on a straight line from point A to point B, then the two quantities are the same.

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3 years ago

Write an equation for an ellipse centered at the origin, which has foci at (\pm\sqrt{8},0)(± 8 ,0)(, plus minus, square root o

Alchen [17]

Answer:

The equation of ellipse centered at the origin

$\frac{x^2}{18} +\frac{y^2}{10} =1$

Step-by-step explanation:

given the foci of ellipse (±√8,0) and c0-vertices are (0,±√10)

The foci are (-C,0) and (C ,0)

Given data (±√8,0)

the focus has x-coordinates so the focus is lie on x- axis.

The major axis also lie on x-axis

The minor axis lies on y-axis so c0-vertices are (0,±√10)

given focus C = ae = √8

Given co-vertices ( minor axis) (0,±b) = (0,±√10)

b= √10

The relation between the focus and semi major axes and semi minor axes are $c^2=a^2-b^2$

$a^{2} = c^{2} +b^{2}$

$a^{2} = (\sqrt{8} )^{2} +(\sqrt{10} )^{2}$

$a^{2} =18$

$a=\sqrt{18}$

The equation of ellipse formula

$\frac{x^2}{a^2} +\frac{y^2}{b^2} =1$

we know that $a=\sqrt{18} and b=\sqrt{10}$

Final answer:-

The equation of ellipse centered at the origin

$\frac{x^2}{18} +\frac{y^2}{10} =1$

8 0

3 years ago

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Need help finding the measure of the arc or angle indicated

evablogger [386]

Answer:

70 degrees

Step-by-step explanation:

6 0

2 years ago

A rectangular field is 450 meters long and 300 meters wide. What is the area of the field in square kilometers?

rodikova [14]

First you multiply 450 m ×300 m= 135,000 m
Then you convert to Kilometers 135,000 ÷1,000= 135 Kilometers

So the answer is 135 Kilometers

7 0

3 years ago