Answer:
The equation that represent x, the height of the sign is;
Step-by-step explanation:
Given that the area of the triangular yield is A square feet
and it has a base length of 3 feet.
also the height is represented by x;
Recall that the area of a triangle can be written as;
substituting the given;
Therefore, the equation that represent x, the height of the sign is;
Answer + Explanation + Theory
When a number is divided by a number it results in a quotient and a remainder
E.g. 9 / 4 = 2 remainder 1
9 is the dividend
4 is the divisor
2 is the quotient
1 is the remainder
Same way when a polynomial is divided by a linear expression
E.g.
Ax^2 + bx + c / (x-b) = (x+a) + r
Which can be rearranged to
ax^2 + bx + c = (x+a)(x-b) + r
When x = - a or b, only the remainder is left since either (x+a)(x-b) is 0.
If x = - a or b is substituted into the polynomial and the value is 0 then there is no remainder,
This would suggest (x+a) or (x-b) are factors of the polynomial.
Now apply this logic to these questions
1. Let’s assume (x-4) is a factor, this would mean that when x=4 is substituted into the polynomial the answer would be 0.
This is the case, therefore the remainder is 0.
2. Having seen the logic above (applied using the remainder and factor theorem) the linear expression is a factor of the polynomial.
The equation for cuircumference is 2
r
so your answer would be either ( 78 Pi ) for an exact answer
or for decimal form it would be ( 245.044 )
