Alan is making a small sign in the shape of a triangle for his store. He wants the height of the triangle to be 4 inches. The area of the sign must be less than 18 square inches. Write an inequality that describes the possible base length of the triangle.

Step-by-step explanation:

We have been given that Alan is making a small sign in the shape of a triangle for his store. He wants the height of the triangle to be 4 inches. The area of the sign must be less than 18 square inches. We are asked to write an inequality that describes the possible base length of the triangle.

We will use area of rectangle formula to solve our given problem.

, where,

A = Area of triangle,

b = Base length,

h = Height of triangle.

As area must be less than 18 square inches, so we can represent this information in an inequality as:

Therefore, the length of he base should be less than 9 inches.  

the quotient is 4x^2 - 27x + 167 with a remainder of -996

step-by-step explanation:

in synthetic division, use -6 as the divisor and use the coefficients {4, -3, 5, 6}:

-6     )   4     -3     5     6

                -24   162 -1002

          4   -27   167   -996

thus, the quotient is 4x^2 - 27x + 167 with a remainder of -996.

note:   your "4x°-3x+5x+6" is ambiguous / incomplete.   i had to assume that you meant '4x^3 - 3x^2 + 5x + 6."

its 69.420

step-by-step explanation: