The height of a triangle is 4 in. greater than twice its base. the area of the triangle is no more than 168 in.2. which inequality can be used to find the possible lengths, x, of the base of the triangle?

(x² + 2x) < 168

Step-by-step explanation:

Let the height of the triangle is h in. and base is x in.

As per statement of the question, height of the triangle is 4 in. greater than twice twice of its base

The equation will be h = 2x + 4

Second statement is, the area of the triangle is not more than 168 in²

The inequality for this statement will be A < 168

Now we know area of a triangle A =

So A =

A =

A = (x).(x + 2)

and A < 148

So inequality to find the length of x will be

x² + 2x < 168

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step-by-step explanation:

the answer is:

the answer is:

to solve the problem, we need to remember the quotient of power property, it's defined by the following relation:

if we have a quotienf of powers that have the same base, we need to keep the same base and subtract the exponent of the denominator power to the exponent of the numerator power.

so, we are given the expression:

then, calculating we have:

hence, the answer is:

have a nice day!