3 years ago

Geometry: (properties of rhombi) diagonals opposite

Mathematics

1 answer:

Mrac [35]3 years ago

8 0

Diagonals intersect each other at 90 ' .all sides are equal

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What is the center of the ellipse x2+5y2–45=0?

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Center is at (0,0)

Step-by-step explanation:

An equation of ellipse in standard form is:

$\displaystyle{\dfrac{(x-h)^2}{a^2}+\dfrac{(y-k)^2}{b^2} = 1$

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From the equation of $\displaystyle{x^2+5y^2-45=0}$ . First, we add 45 both sides:

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Convert into the standard form with RHS (Right-Hand Side) equal to 1 by dividing both sides by 45:

$\displaystyle{\dfrac{x^2}{45}+\dfrac{5y^2}{45}=\dfrac{45}{45}}\\\\\displaystyle{\dfrac{x^2}{45}+\dfrac{y^2}{9}=1}$

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2 years ago

Falisha spent 2/5 of her money on a bag. she gave 2/3 of the remaining amount to her sister. What fraction of her money was she

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1/5

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After spending 2/5 of her money on a bag, she has 3/5 of the original amount of money left. As she gave 2/3 of the remaining amount of money to her sister, she gave 2/5 of the original amount of money to her sister (3/5 × 2/3 = 2/5). Therefore, there's only 1/5 (1 - 2/5 - 2/5 = 1/5) of the original amount of money left in her bag.

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Nathan and Sydney start out together on a bike trail that is 24 miles long. Nathan bikes at 8 miles per hour. Sydney bikes at 12

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Sydney would arrive one hour before Nathan. 24/12=2 and 24/8=3

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3 years ago

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Geometry: (properties of rhombi) diagonals ____ opposite ____

Geometry: (properties of rhombi) diagonals opposite