The distance from the center to where the foci are located exists 8 units.
<h3>How to determine the distance from the center?</h3>
The formula associated with the focus of an ellipse exists given as;
c² = a² − b²
Where c exists the distance from the focus to the center.
a exists the distance from the center to a vertex,
the major axis exists 10 units.
b exists the distance from the center to a co-vertex, the minor axis exists 6 units
c² = a² − b²
c² = 10² - 6²
c² = 100 - 36
c² = 64
c = 8
Therefore, the distance from the center to where the foci are located exists 8 units.
To learn more about the Pythagorean theorem here:
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What is 14 and 15 tell me
3/33 can be reduced to 1/11 by dividing by 3 on the top and bottom.
1/11 is not equal to 1/10. Although they have the same numerator or number on top, 1, they don't have the same number in the bottom.
So they are not equivalent.
Hope this helps.
7.
To swap a figure to 90 degrees counter clock wise turn the points from
(x,y) to (-y,x)
Let’s get your points
(-2,3) ; (-4,2) ; (-2,-4)
Swap the values and make the new x’s negotiate
(-3,-2) ; (-2,-4) ; (4,-2)
These should be the points of the new figure with is 90 degrees counterclockwise of the first one.
10.
To find x you can either:
Add 93 and 54
Or
Find the missing value of the triangle and subtract it from 180. Let’s do both
x = 93 + 54
x = 147
Or
180 - 93 - 54
33
180 - 33 = 147
x = 147
8.
First we dilate the coordinates by 0.5
(-4,6) ; (2,6) ; (2,-4) ; (-4,-4)
Basically divide each x and by by two
(-2,3) ; (1,3) ; (1,-2) ; (-2,-2)
Two units left would be to subtract two from the x values
(-4,3) ; (-1,3) ; (-1,-2) ; (-4, -2)
Add three to each y value
New coordinates:
(-4,6) (-1,6) (-1,1) (-4,1)
6.
Since these are the same circle, then we need to multiply the radius by 2 and then make the newly formed diameters equal to each other
2(6x) = 10x + 8
Multiply
12x = 10x + 8
Get x on one side
2x = 8
Divide
x = 4
Plug in 4 for an equation
2(6(4))
48
Circumference = pi * diameter
Unsure if you use 3.14 for pi
If you use 3.14 :
(3.14) (48) = 150.72
If you use pi :
Pi (48) (rounded) = 150.80
