Given x=5 + √16 , select the value(s) of x. -11 1 9 21

Mathematics

2 answers:

Schach [20]3 years ago

6 0

Answer:

The answers would be 9 and 1.

Step-by-step explanation:

x= 5±√16 can be separated into two equations.

x=5+√16 and x=5-√16

1. 5+√16 can be solved by simplify √16, which is 4. So then it would become 5+4 which equals 9.

2. 5-√16 can be solved by simplifying √16 which is 4. So then it would become 5-4 which equals 1.

So the values of x are 9 and 1.

Zigmanuir [339]3 years ago

6 0

Answer:

9 and 1 would be answer.

Step-by-step explanation:

we have given the equation

x=5 ± √16

x= 5 ±√4²

equation can be separated into two equations

x=5+ √4² equation I and x=5-√4² equation II

Solving equation I

x= 5+4= 9

Solving equation II

x = 5-4 = 1

So the values of x are 9 and 1.

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Let O and H be the circumcenter and orthocenter of triangle ABC, respectively. Let a, b, and c denote the side lengths, and let

vovikov84 [41]

Answer:

OH²=412

Step-by-step explanation:

A Circumcenter of a triangle is the point where the three perpendicular bisectors of a triangle meet.

The Orthocenter is the point where all three altitudes of the triangle intersect.

Given any triangle, the orthocenter, circumcenter and centroid are collinear on the Euler line. By Euler's Identity, the distance between the circumcenter and the orthocenter of a triangle is related to the circumradius(R) and the sides(a,b,c) of the triangle by the relation

OH²=9R²-(a²+b²+c²)

R=7, a²+b²+c²=29

OH²=9(7)²-29

OH²=412

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