The radius of circle N measures 25 cm and GH = 48 cm. What is TS?

14
24
9
18

TS = 18

Step-by-step explanation:

NR is the perpendicular bisector of GH, thus

TH = 48 ÷ 2 = 24

Using Pythagoras' identity in right triangle NTH

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

NT² + 24² = 25², that is

NT² + 576 = 625 ( subtract 576 from both sides )

NT² = 49 ( take the square root of both sides )

NT = = 7

Note that NS is the radius of the circle, thus

TS = NS - NT = 25 - 7 = 18

  18

Step-by-step explanation:

The hint is suggesting you use the Pythagorean theorem. That will tell you ...

  NH² = NT² +TH²

The segment NT is the perpendicular bisector of GH, so ...

  GT = TH = 48/2 = 24.

If you like, you can also use ...

  NT = NS -TS = NH -TS

So the above Pythagorean theorem equation can be written as ...

  NH² = (NH -TS)² +TH²

  NH² = NH² -2·NH·TS +TS² +TH²

  0 = -2·25·TS +TS² +24²

  (TS -18)(TS -32) = 0 . . . . . . factor the above equation

The values of TS that make the factors zero are TS = 18 and TS = 32.

We are interested in the solution for TS < 25, so ...

  TS = 18

The given side lengths of triangle NTH are 24 and 25. If you're familiar with Pythagorean triples, you know that NT must be 7, hence TS is 25-7 = 18. Even if you're not, you can find NT from the Pythagorean theorem:

  NT = √(25² -24²) = √49 = 7

answer: b. f(x) = (x + 2)^3 (x^2 - 7x + 3)^4

step-by-step explanation:

polynomials always have as many roots as their order. this is a 4th order polynomial- hence 4 roots!

complex roots of polynomials always come in pairs. the quadratic equation has the "+/-" in that will alwaysgenerate m+ni amd m-ni, so 7-2i must be a root of this polynomial equation.

the order of the numerator and denominator are both 2. so the horizontal asymptote is y=a2/b2 =7

verticle asymptotes are the forbidden x-values. f(x) becomes undefined at x=-3 because this value will cause a zero denominator.

a graph of r(x) will have vertical asymptotes at ±1 because these values will make the denominator zero. so the domain of the function cannot include ±1.

you 're wlecome! : )

cretdit to source

a = 3.14

b = 18

c = 18/5 or 3.6 or 3 3/5

step-by-step explanation: