5.Lila flies a drone in the direction of 90 degrees towards Avery. Once she gets to Avery she changes course and flies in the direction of 200 degrees towards Mark. Lila and Avery are 20 feet apart; Mark and Avery are 30 feet apart. How far apart are Mark and Lila?

Mark and Lila are 29.83 meters apart.

Step-by-step explanation:

If we draw a triangle with the information given (see image attached), we have that the angle Lila-Avery-Mark is equal to 70°. Then, to find the distance between Mark and Lila, we just need to use the law of cosines, using the two sides given and the angle between them:

c^2 = a^2 + b^2 - 2*a*b*cos(C)

c^2 = 30^2 + 20^2 - 2*30*20*cos(70)

c^2 = 900 + 400 - 1200*0.342

c^2 = 889.6

c = 29.83 m

Mark and Lila are 29.83 meters apart.

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1

5x+10 is the correct one

hope this