Consider the following polynomial x^2 +bx+12

Mathematics

1 answer:

yulyashka [42]2 years ago

5 0

Answer:

7 and 8

Step-by-step explanation:

${x}^{2} + 7x + 12$

(x+3)(x+4)

${x}^{2} + 8x + 12$

(x+2)(x+6)

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UkoKoshka [18]

Answer:

$85\:\mathrm{units^2}$

Step-by-step explanation:

All side lengths of a square are equal. The three squares create a right triangle, and the hypotenuse of this triangle represents the side length of the square.

All right triangles must follow the Pythagorean Theorem $a^2+b^2=c^2$ where $c$ is the hypotenuse of the triangle.

Therefore, let $h$ be the side length of this largest square. Since the area of a square with side length $s$ is given by $s^2$ , $h^2$ will represent the area of the square: