Select all radical expressions that are equivalent to 4 3/5

Mathematics

1 answer:

Assoli18 [71]4 years ago

6 0

Answer:

Correct is 4 th variant

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Looking at the sample space (8 possible

guapka [62]

Answer:

1/4

Step-by-step explanation:

2 outcomes out of a possible 8.

p(HHH or TTT) = 2/8 = 1/4

3 0

3 years ago

A circle has its center at the origin, and (5, -12) is a point on the circle. How long is the radius of the circle?

Amanda [17]

Option C

The radius of circle is 13 units

Solution:

The equation of circle is given by formula:

$(x-h)^2+(y-k)^2 = r^2$

Where, the center being at the point (h, k) and the radius being "r"

Given that circle has its center at the origin

(h, k) = (0, 0)

(5, -12) is a point on the circle

(x, y) = (5, 12)

Substituting in equation we get,

$(5-0)^2+(12-0)^2 = r^2\\\\5^2+12^2 = r^2\\\\r^2 = 5^2+12^2\\\\r^2 = 25 + 144\\\\r^2 = 169\\\\Taking\ square\ root\ on\ both\ sides\\\\r = \sqrt{169}\\\\r = \pm 13\\\\Since\ radius\ cannot\ be\ negative\ ignore\ r = -13\\\\Thus\ the\ solution\ is:\\\\ \r = 13$