Kite ABCD (a quadrilateral with two pairs of adjacent equal sides) has coordinates A\(0,7), B (1,0),\ C (12,-2), and D (7,8). What is the area of ABCD, given that the area of a kite is equal to half the product of its diagonals? PLEASE HELP DUE IN FIVE MINUTES

Area=45

Step-by-step explanation:

Area=AC*BD/2=V12^2+(-9)^2*V6^2+8^2=(V144+81)*V36+64/2=V225*6/2=15*6/2=45

(a) {a₁, a₁r, a₁r², … a₁rⁿ⁻¹, …}

(b) $59 398

step-by-step explanation:

(a) the annual sequence of profits

aₙ = a₁rⁿ⁻¹

the model for the sequence of profits is {a₁, a₁r, a₁r², … a₁rⁿ⁻¹, …} .

(b) profit after 15 yr

  a₁ = $ 30 000

  r = 1.05

a₁₅ = 30 000 × 1.05¹⁴

a₁₅ = 30 000 × 1.979 93

a₁₅ = $59 398

the profit in year 15 will be $59 398.