$\qquad \textit{perfect square trinomial} \\\\ (a\pm b)^2\implies a^2\pm \stackrel{\stackrel{\text{\small 2}\cdot \sqrt{\textit{\small a}^2}\cdot \sqrt{\textit{\small b}^2}}{\downarrow }}{2ab} + b^2 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ x^2 \pm \stackrel{\stackrel{2\sqrt{x^2}\sqrt{c^2}}{\downarrow }}{6x} +c^2~\hspace{10em}6x=2\sqrt{x^2}\sqrt{c^2}\implies 6x=2xc \\\\\\ \cfrac{6x}{2x}=c\implies 3=c\implies 9=c^2~\hfill \boxed{(x\pm 3)^2}$

3 0

2 years ago

Which set of ordered pairs does not represent a function?

Leokris [45]

The last one does not represent a function because for it to be a function none of the x’s can repeat and in the last one the 0 repeats.

4 0

3 years ago

Pythagorean Theorem to solve for x. If the hypnoses is 10 m, and one leg is 6 m. Find the other leg x

lilavasa [31]

Answer:

The other leg X = 8m

Step-by-step explanation:

As per Pythagorean theorem-

Square of hypotenuse = sum of square of other two sides of the triangle

Substituting the given values in above equation, we get -

$10^2 = 6^2 + X^2\\100 - 36 = X^2\\X^2 = 64\\X = 8$ m

The other leg X = 8m

8 0

3 years ago

Graph the system of inequalities. y is greater than 3x-4 4y-x is less than or equal to 8

Ugo [173]

Answer:

no;no because it is going to be negative 12.

Step-by-step explanation:

first you do 3x-4=-12 and so if you get -12 it is not even close to 8.

4 0

3 years ago