On a state map, a cartographer plots texmath at coordinates (2, 2) and lonestar village at coordinates (9, 16). how far is it from texmath to lonestar village? √21 15 5√7 7√5

The distance between two points can be calculated through the equation,
 
                              d = sqrt ((x₂ - x₁)² + (y₂ - y₁)²)

Substituting the known values,
                              d = sqrt (16 - 2)² + (9 - 2)²)
Simplifying,
                              d = sqrt (245) = 7 sqrt (5)

The answer is the last choice. 

Where the white dots are is where your points should be plotted.a translation is simply just moving something from one place to another. in this case, you would move each plot point of the original shape 2 units up, and 5 units to the left.

Answer to your question: a. the fundamental theorem of algebra tells you that the equation will have two complex roots since the degree of the polynomial is 2. the roots are ​ x=1±i7√2 .number of roots=degree of polynomialhere, degree of polynomial is 2 so number of roots will be 2.hope it *_*