What is the solution to the inequality in interval notation? |4x+6|≤14 A: [-2,5] B: (-∞, −2] ∪ [5,∞) C: (-∞,-5] ∪ [2,∞) D: [-5,2]

x>5

Step-by-step explanation: The Absolute Value term is |4x+6|

For the Negative case, we'll use -(4x+6)

For the Positive case, we'll use (4x+6)

-(4x+6) = 14

    Multiply

     -4x-6 = 14

    Rearrange and Add up

     -4x = 20

    Divide both sides by 4

     -x = 5

    Multiply both sides by (-1)

     x = -5

    Which is the solution for the Negative Case

(4x+6) = 14

    Rearrange and Add up

     4x = 8

    Divide both sides by 4

     x = 2

x=-5

x=2

step-by-step explanation:

there is a formula i can give you:

it is r^2*n*sin(360/n) divided by 2 where r represents the "radius" and n is the number of sides.

plug them in:

(10sqrt(3))^2*6*sin(360/6) divided by 2

100*3*6*sin(60) divided by 2

900*sin(60)

900*sqrt(3)/2

450*sqrt(3)

approx is 779.4 cm^2