4 years ago

I need help finding the Answer to #1 and #2

Mathematics

1 answer:

kaheart [24]4 years ago

3 0

#3 is even I really hope this works

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Which is equation of an ellipse of an ellipse with directrices at x=4 and foci at (2,0) (-2,0)

r-ruslan [8.4K]

Answer:

$\frac{x^2}{8} + \frac{y^2}{4}=1$

Step-by-step explanation:

The directrices in this case are vertical lines, so we have a horizontal ellipse. The equation for that ellipse is:

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

The center of the ellipse is (h,k), the diretrix is x = d and the foci are given by (h+c, k) and (h-c, k)

So, comparing the foci, we have that k = 0 and:

$h + c = 2$

$h - c = -2$

Adding these two equations, we have:

$2h = 0$

$h = 0$

$c = 2$

We can find the value of a^2 using the property:

$c / a = a / d$

Using c = 2 and d = 4, we have:

$a^2 = c * d$

$a^2 = 8$

Now, to find b^2, we use the property:

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

$8 = b^2 + 4$

$b^2 = 4$

So the equation of the ellipse is:

$\frac{x^2}{8} + \frac{y^2}{4}=1$

7 0

3 years ago

What does this mean? I don’t understand.

Nutka1998 [239]

ninety four means $94. 36/100 means $0.36. when you put these together you get $94.36

5 0

3 years ago

______×0.005=5 what the answer please help

padilas [110]

Answer:

1000

Step-by-step explanation:

5/0.0005=1000

6 0

4 years ago

Read 2 more answers

How can you tell when an equation in one variable has infinitely many soultions or no solution

torisob [31]

By if it is negative or positive

3 0

3 years ago

Can someone please help me with number 2 please I’ll love you forever ;)

yawa3891 [41]

Step-by-step explanation:

the first question

x²+x+5

when x is -4

(-4)²+(-4)+5

16-4+5

12+5

hope this was helpful

7 0

2 years ago