center at(-4,1);vertex at (-4,7),focus at(-4,3 _/3).write an equation with the indicated properties?

Question

focus is( -4, 3 multiplied by squareroot of 3)

Answer 1

Centre =(-4,1), Vertex =(-4,7), focus=(-4,3*(3)^.5)
Distance between vertex & centre=a(say)=7-1=6 units
Distance between vertex & focus=ae=3*(root 3)-1 units, e=eccentricity of the conic.
e=ae/a= [3*(root 3)-1]/6= 0.7<1
hence, the conic is an ellipse.

we see, that the abcissae of center, vertex & focus are same, while the ordinates are different. Hence, the major axis of the ellipse is parallel to x-axis.

the general equation of such an ellipse is,
(y-A)^2/a^2+(x-B)^2/b^2=1, whose centre is(A,B)
& b^2=a^2(1-e^2)
in case of our ellipse, solving we get,
b^2=8+6*(root 3)

hence the equation of the conic is,
[(y-1)^2]/36+(x+4)^2/[8+6*( 3)^(1/2)]=1 [a=6]

there may remain mistake in calculation, but I think you have understood the method. So please check the solution.

Answer 2

The blind will on no account see & the goats are obdurate, there's a veal over them, placed there by way of devil. i've got been reading interior the e book of Acts, that's the place the 1st congregation of Christ followers. interior the 11 financial disaster is have been his followers have been first called christians. The e book of Acts it seems that says that Jesus is the Son of God by way of the way the christian congregation became formed. there is not any confusion while Peter, Paul & others defined who Jesus became & why he got here to this earth. They used the Hebrew scriptures to instruct Jesus became the Son of Jehovah, the messiah. They confirmed that Jesus fulfilled each and every of the prophecies, they proved that Jesus died(God has consistently been & will consistently be), they confirmed what his loss of existence meant for all mankind, they on no account as quickly as reported Jesus became God or a million/third of a Godhead. 2 Co 4:4 says all of it, that's devil that has blinded the minds of the unbelievers & in easy terms the meek would be ask by way of Jesus because it says right here at John 15:sixteen you probably did no longer decide for me, yet I chosen YOU, and that i appointed YOU to bypass on and keep bearing fruit and that YOUR fruit ought to stay; in order that no depend what YOU ask the daddy in my call he can furnish it to YOU. we could wish that the veal would be lifted so all would have a huge gamble to be stored, Jehovah desires that one and all ought to turn around & be stored.

Answer 3

42