3 years ago

Which of the following letters on the number line could represent the √21 Image result for point on number

Mathematics

1 answer:

marissa [1.9K]3 years ago

6 0

Answer:

4.58257

Step-by-step explanation:

That is the square root of 21, so if there's a point about there, then choose it.

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3 years ago

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

jeka94

Answer:

Center is at (0,0)

Step-by-step explanation:

An equation of ellipse in standard form is:

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

Where center is at point (h,k)

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

$\displaystyle{x^2+5y^2-45+45=0+45}\\\\\displaystyle{x^2+5y^2=45}$

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

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

Therefore, the center of ellipse is at (0,0) since there are no values of h and k.

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2 years ago

What is the correct answer?

gavmur [86]

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3 years ago

Find the slope-intercept equation of the line that passes through (0,-1) and has a slope of -2/3 .

Rom4ik [11]

Answer:

y= -2/3x-1

Step-by-step explanation:

Hope this helps!

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