<h3>
Answer: 5</h3>
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Work Shown:
x^2 - 5x + 1 = 0
x^2 + 1 - 5x = 0
x^2 + 1 = 5x
(x^2 + 1)/x = 5 .... where x is nonzero
(x^2)/x + (1/x) = 5
x + (1/x) = 5
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An alternative method involves solving the original equation using the quadratic formula. After you get the two roots x = p and x = q, you should be able to find that p + 1/p = 5 and also q + 1/q = 5 as well.
In this case,
p = (5 + sqrt(21))/2
q = (5 - sqrt(21))/2
Answer:
Step-by-step explanation:
An ellipse is the locus of a point such that its distances from two fixed points, called foci, have a sum that is equal to a positive constant.
The equation of an ellipse with a center at the origin and the x axis as the minor axis is given by:
Since the distance of the satellite from the surface of the moon varies from 357 km to 710 km, hence:
b = 357 km + 959 km = 1316 km
a = 710 km + 959 km = 1669 km
Therefore the equation of the ellipse is:
use cross products
(3r+6) *2 = 9*(2r-4)
6r+12 = 18r-36 distribute
12 = 12 r -36 subtract 6r from each side
48 = 12r add 36 to each side
4=r divide by 12
Answer:
C, B, A
Step-by-step explanation:
The sides in order from shortest to longest are ...
AB = m-2
AC = m
BC = m+4
The angles opposite these sides will be in order, smallest to largest. The angle opposite is the one whose letter is <em>not</em> in the line segment name.
C, B, A
Answer:
interest is $105
total is $455
Step-by-step explanation:
350 * .03 = 10.5
10.5*10 = 105
interest is 105
350 +105 = 455
