On the map, Winton ,California is located at(“ (2,10.5) in Lake Tahoe is located at (14,16). Each unit on the map equals 16.5 miles what is the approximate distance between the cities round to the nearest mile.

The distance between the two

points on the map

is 225 units

Step-by-step explanation:

Firstly, we need to calculate the distance in units between the two locations on the map

What we have to use here is the distance formula

Mathematically, we have this as;

D = √(x2-x1)^2 + (y2-y1)^2

(x1,y1) = (2,10.5)

(x2,y2) = (14,16)

we have the distance as follows;

D = √(14-2)^2 + (16-10.5)^2

D = √(12^2 + 6.5^2)

D = √(186.25)

D = 13.65 units

now, from the question, 1 unit on the map represents a distance of 16.5 miles

thus, a distance of 13.65 units will be;

16.5 * 13.65 = 225.225

= 225 units

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! : )

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the answer is ! ?