If the radius is 21cm and the angle at center of the circle is 140° then the length of arc is ...

51.33 cm

Step-by-step explanation:

Step 1: Check what is given and asked to find out. In this problem we are provided with the radius 21 cm and the angle at center of the circle is 140°.

→ radius (r) = 21 cm and angle (Ø) = 140°

To find: length of arc (l).

Step 2: Do the calculations. But before that we need to know that which formula we are going to use to do the calculations.

Formula: l = 2πr Ø/360°

Let's dive in!

→ l = 2 × 22/7 × 21 × 140°/360°

→ l = 44 × 3 × 7/18

→ l = 924/18

→ l = 51.33

Hence, the length of the arc is 51.33 cm.

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

check above link.

graphically?   well, you graph them both, the solutions is where they both intersect each other, since there are two solutions, meaning they will meet twice, or namely the linear will run into the quadratic curve twice, and where they meet, those x,y coordinates are the solutions to the system.