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Nataliya [291]
3 years ago
12

The equation x2 − xy + y2 = 3 represents a "rotated ellipse," that is, an ellipse whose axes are not parallel to the coordinate

axes. Find the points at which this ellipse crosses the x-axis.(x, y) = smaller x-value (x, y) = I larger x-value
Mathematics
1 answer:
Setler [38]3 years ago
3 0

Answer:

the points where the ellipse crosses the x- axis are (1.73, 0) and (-1.73, 0)

Step-by-step explanation:

To find the points at which a graphic crosses the x-axis we need to find the values for x where y = 0.

Therefore, in the equation x²- xy + y² = 3 we are going to make y = 0 and solve for x

x² - xy + y² = 3

x²- x(0) + (0)² = 3

x² = 3

x = ±√3

x₁ = 1.73 and x₂ = -1.73

Therefore, the points where the ellipse crosses the x- axis are (1.73, 0) and (-1.73, 0)

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21.186%

Step-by-step explanation:

z = (x-μ)/σ,

where

x is the raw score = 2400mg

μ is the population mean = 2000mg

σ is the population standard deviation = 500mg

z = 2400 - 2000/500

z = 0.8

Probability value from Z-Table:

P(x<2400) = 0.78814

P(x>2400) = 1 - P(x<2400) = 0.21186

Converting to percentage:

0.21186 × 100

= 21.186%

Therefore, the percent of the meals

ordered that exceeded the recommended daily allowance of 2400 mg of sodium is 21.186%

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12. Find the measure of the largest angle in the triangle shown.
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Step-by-step explanation:

all angles of a triangle sum to 180

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then substitute that for 24(x) to get the angle

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There are three cell phone models in a store. When selecting a new cell phone, 25% of the customers choose model A, 33% choose m
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The distance formula is:  d  =  sqrt( (x2 - x1)2 + (y2 - y1)2 )

 

For this problem, let (-5, -4) be the "first" point, so  x1 = -5  and  y2 = -4

                      and let (-6, 4) be the "second" point, so  x2 = -6  and  y2 = 4.

 

Then:  d  =  sqrt( (-6 - -5)2 + (4 - -4)2 )  =  sqrt( (-1)2 + (8)2 )  =  sqrt( 1 + 64 )  =  sqrt( 65)

 

The distance formula is just the Pythagorean Theorem applied to an x-y graph.

 

You would get the same final answer if you let (-5, -4) be the second point and (-6, 4) be the first point.

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