The first step for absolute value equations is to isolate the expression contained within the absolute value bars:

3|2x+4|-1 = 11
3|2x+4| = 12
|2x+4| = 4

so |2x+4| is 4 units away from 0 on a number line, but we don't know in which direction -- negative or positive? you'll have two answers.

2x+4 = 4

AND

2x+4 = -4

solve both of those two step equations and you'll get

x = 0

AND

x = -4

so 0 and -4 are your solutions.

5 0

2 years ago

A triangle has an area of 72 square inches. If the base of the triangle has a length of 18 inches, what is the height of the tri

Alecsey [184]

It could be 8 since 8x18= 144 and 144 divided by 2 is 72

8 0

3 years ago

saw5 [17]

Answer:

m<R ≈ 22.62°

Step-by-step explanation:

Reference angle = R

Side opposite to R = 5 cm

Adjacent side length = 12 cm

Thus, applying TOA, we have:

Tan R = opp/adj

Tan R = 5/12

R = tan^{-1}(5/12)

R ≈ 22.62° (nearest hundredth)

6 0

2 years ago