A solution to an equation Jada solved is −2 + 3√ She is trying to determine whether that solution is rational or irrational. Jada knows that -2 is a rational number and √3 is an irrational number. She also knows that the sum of any two rational numbers is always rational.

a. If we add 2 (a rational number) to −2+3√ what is the sum?

a. (2) Is the sum rational or irrational?

Select the correct choice. (Rational or Irrational)

b. Explain why −2+3√ cannot be rational.

she will travel a distance in the range of 3 - 11 miles

7.9m and 4.3°

step-by-step explanation:

let east be +x and north be +y, x = distance * cos θ, y = distance * sin θ  

for 3.5 south, y = -3.5  

for 8.2, x = 8.2 * cos 30 and y = 8.2 * sin 30  

for 15 west, x = -15  

total x = 8.2 * cos 30 – 15 ≈ -7.9  

total y = -3.5 + 8.2 * sin 30 = 0.6  

magnitude = [(8.2 * cos 30 – 15)^2 + 0.6^2)]^0.5  

the magnitude is approximately 7.9 m  

tan θ = y/x = 0.6/-7.9  

the angle is approximately 4.3˚ north of west

alaska, florida, nevada, south dakota, texas, washington and wyoming, tenessee and new hampshire.

step-by-step explanation: