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2 years ago

Find the length of the Lm of LM if L is (10,6) and M is (0,-7)

Mathematics

1 answer:

lubasha [3.4K]2 years ago

4 0

Answer:

16.4012194669

simplified: 16.4

Step-by-step explanation:

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Write an equation for an ellipse centered at the origin, which has foci at (\pm\sqrt{8},0)(± 8 ,0)(, plus minus, square root o

Alchen [17]

Answer:

The equation of ellipse centered at the origin

$\frac{x^2}{18} +\frac{y^2}{10} =1$

Step-by-step explanation:

given the foci of ellipse (±√8,0) and c0-vertices are (0,±√10)

The foci are (-C,0) and (C ,0)

Given data (±√8,0)

the focus has x-coordinates so the focus is lie on x- axis.

The major axis also lie on x-axis

The minor axis lies on y-axis so c0-vertices are (0,±√10)

given focus C = ae = √8

Given co-vertices ( minor axis) (0,±b) = (0,±√10)

b= √10

The relation between the focus and semi major axes and semi minor axes are $c^2=a^2-b^2$

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

$a^{2} = (\sqrt{8} )^{2} +(\sqrt{10} )^{2}$

$a^{2} =18$

$a=\sqrt{18}$

The equation of ellipse formula

$\frac{x^2}{a^2} +\frac{y^2}{b^2} =1$

we know that $a=\sqrt{18} and b=\sqrt{10}$

Final answer:-

The equation of ellipse centered at the origin

$\frac{x^2}{18} +\frac{y^2}{10} =1$

8 0

3 years ago

Read 2 more answers

What is .93 divided to 19.43 to the nearest whole number

Brrunno [24]

I got 20.89, and nearest to the whole number would be 20.

5 0

3 years ago

Simplify (3x+2)(x-7)

vovangra [49]

The answer is
$3 {x}^{2} - 19x - 14$
first you must multiply or use the FOIL method (First, Outer, Inner, Last)
First you multiply the first terms
$(3x)(x)$
this gives you 3x^2, then you multiple the outer terms
$( - 7)(3x)$
this gives you -21x, then you multiply the inner terms
$(2)(x)$
that gives you 2x, finally you multiply the last terms
$(2)( - 7)$
that gives you 14, now you combine like terms
$- 21x + 2x = - 19x$
now you put all the terms together and end up with your solution
$3 {x}^{2} - 19x - 14$

8 0

3 years ago

Read 2 more answers

A rock is thrown up from the ground at a velocity of 84 feet per second. The formula h = -16t2 + 84t gives the rock's height in

kenny6666 [7]

Answer:

h = 110.24 m

Step-by-step explanation:

It is given that,

A rock is thrown up from the ground at a velocity of 84 feet per second. The formula $h = -16t^2 + 84t$ gives the rock's height in feet after t second.