Kahlil is recording a beat for a song that he is working on. he wants the length of the beat to be more than 10 seconds long. his friend tell him the beat needs to be 5 seconds longer than that to match the lyrics he had written. write an inequality to represent the beats length. give 3 possible beat lengths that satisfy the inequality.

Let

x-------> the length of the beat in seconds

we know that

------> inequality that represent the beats length

the solution is the interval--------> (15,∞)

the domain is all real number greater than

Find the possibles beat lengths that satisfy the inequality

a)

substitute in the inequality

-----> is true

therefore

is a possible beat length

b)

substitute in the inequality

-----> is true

therefore

is a possible beat length

c)

substitute in the inequality

-----> is true

therefore

is a possible beat length

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

60

step-by-step explanation:

every triangle measures a total of 120 degrees. you have to find angle c. we know that isosceles triangles angles are equal. 60 degrees plus 60 degrees gives you 120.