For c to be positive, and for b to be negative, m must be negative and n must be negative.
X^2 - bx + c = (x - m)(x - n).
c is the product of m and n. If both m and n are positive, c would be positive. However b is the sum of m and n, therefore to make b negative, both m and n must be negative to ensure that the product of m and n is positive
Area of a square equals side squared
(A = s²)
30 = s²
√30 = s
You can use a calculator to find out that √30 ≈ 5.48
or you can use estimation (√25 < √30 < √36) which means that √30 is between 5 and 6.
Answer:
A= Length x Width
A= 27 x (1/3 x 27 + 4)
A=27 x (9 + 4)
A= 27 x 13
A= 351
Step-by-step explanation:
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ANSWER
<em>alternate interior angles theorem</em>
EXPLANATION
According to the alternate interior angles theorem, when two parallel lines are are intercepted by a straight line (transversal) the angles in the interior corners of a Z-shape pattern are congruent.
From the above diagram line r is parallel to line s, therefore

and

because they are alternate interior angles.
See attachment for how to spot alternate interior angles.