Diego is sailing the ocean, and his ship is low on supplies. He needs to reach land and restock. Looking at his map, Diego estimates his ship's location and marks it with an \text{X}Xstart text, X, end text shown below at (-2,-4)(−2,−4)left parenthesis, minus, 2, comma, minus, 4, right parenthesis. 4 points on a coordinate plane. The point labeled, "Island A," is at -3, 1. The point labeled, "Island B," is at 3, -6. The point labeled, "Island C," is at -6, -7. The point labeled, "X," is at -2, 4. Graph units are in kilometers. What is the distance from Diego's ship to the closest island? Round the final answer to the nearest tenth of a kilometer. Do not round intermediate calculations.

hello from mrbilldoesmath!

answer:

25x^2 + 90x + 84

discussion:

mn(x) = m(n(x)) = m( 5x + 9) =

(5x + 9)^2 + 3 =>

25x^2 + 90x + 9^2 + 3 =

25x^2 + 90x + 84                 (as 9^2 = 9*9 = 81)

which is the second choice

regards,  

mrb

p.s.   i'll be on vacation from friday, dec 22 to jan 2, 2019. have a great new year!

c

step-by-step explanation:

answer is 8x+24

area of vanessa's patio = length × width

given, length = (3x² + 5x + 10)

width = (x² - 3x - 1)

area of vanessa's patio = (3x² + 5x + 10)(x² - 3x - 1)

= 3x²(x² - 3x - 1) + 5x(x² - 3x - 1) + 10(x² - 3x - 1)

= 3x⁴ - 9x³ - 3x² + 5x³ - 15x² - 5x + 10x² - 30x - 10

= 3x⁴ - 4x³ - 8x² - 35x - 10

hence, expression of vanessa's patio = (3x⁴ - 4x³ - 8x² - 35x - 10)