<em>Answer:</em>
<em>2 whole 1/4</em>
<em>Step-by-step explanation:</em>
<em>When forming a perfect square trinomial you need to "complete the square".
</em>
<em>All of the steps to completing the square when solving an equation:
</em>
<em>1. The leading coefficient must be 1. </em>
<em>2. Divide b by 2.
</em>
<em>3. Square (b/2)
</em>
<em>4. Add (b/2)^2 to both sides to keep the polynomial balanced.
</em>
<em>5. You can now write the perfect square trinomial and solve.
</em>
<em><u>
</u></em>
x^2 - 3x
-3/2
(-3/2)^2 = 9/4 = 2 1/4
Answer:
The length of a side of the flag is 7.2inches
Step-by-step explanation:
Let length = x
Let hypotenuse = x+3
Using Pythagoras' Theorem:
x^2 + x^2 = (x+3)^2
x^2 + x^2 = x^2 + 6x + 9
2x^2 = x^2 + 6x + 9
×^2 - 6x - 9 = 0

x=[-(-6)+sqrt.(-6)^2-4(1)(-9)]/2(1)
×=[6+sqrt.72]/2
×=7.2inches
×=[-(-6)+sqrt.(-6)^2-4(1)(-9)]/2(1)
x=[6-sqrt.72]/2
×=-1.2(rej)
(PS. sqrt is square root)
(Correct me if i am wrong)
Answer:
Infinite solutions
Step-by-step explanation:
1) First, you can solve this easily by elimination. Multiply the first equation by -2 in order to cancel out terms when adding to the second equation.
2) Then, add the new set of equations together. However, everything cancels out, bringing us to 0 = 0. This means that the lines the equations make must be the same. Thus, all real numbers must make this equation true, meaning that there are infinite solutions.