Answer:
![\begin{gathered} \sqrt[]{(x+6)^2_{}}=\pm\sqrt[]{51} \\ \text{x + 6 = }\pm\sqrt[]{51} \\ x\text{ = -6 }\pm\sqrt[]{51} \\ \text{x = }-6\pm7.14 \\ x\text{ = -6+7.14 = }1.14 \\ x\text{ = -6 - 7.14} \\ \text{x = -13.14} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Csqrt%5B%5D%7B%28x%2B6%29%5E2_%7B%7D%7D%3D%5Cpm%5Csqrt%5B%5D%7B51%7D%20%5C%5C%20%5Ctext%7Bx%20%20%2B%20%206%20%20%3D%20%7D%5Cpm%5Csqrt%5B%5D%7B51%7D%20%5C%5C%20x%5Ctext%7B%20%20%3D%20%20-6%20%20%7D%5Cpm%5Csqrt%5B%5D%7B51%7D%20%5C%5C%20%5Ctext%7Bx%20%20%3D%20%7D-6%5Cpm7.14%20%5C%5C%20x%5Ctext%7B%20%20%3D%20-6%2B7.14%20%20%3D%20%7D1.14%20%5C%5C%20x%5Ctext%7B%20%3D%20-6%20-%207.14%7D%20%5C%5C%20%5Ctext%7Bx%20%3D%20-13.14%7D%20%5Cend%7Bgathered%7D)
x = -1.14 or -13.14
Explanations:The given equation is:
Find the half of 12, and add the square to both sides of the equation.
That is add 6² to both sides
Find the square root of both sides:
x = -1.14 or -13.14
On a unit circle, what is cos Θ for coordinates
%20%5Cfrac%7B%5Csqrt%7B2%7D%20%7D%7B2%7D%29" id="TexFormula1" title="(\frac{\sqrt{2} }{2} , \frac{\sqrt{2} }{2})" alt="(\frac{\sqrt{2} }{2} , \frac{\sqrt{2} }{2})" align="absmiddle" class="latex-formula">?
A) 0
B) 1
C)
D)
A) 0
B) 1
C)
D)
1 answer:
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Answer:
216 sq. units
Step-by-step explanation:
From the figure, we can see that only one pair of opposite angles are equal. So, the quadrilateral is a kite.
Formula to find the area of a kite:
Area, A =
where, and
are the lengths of the diagonals.
Here, units.
And, units.
Therefore, the area A =
=
= 216 sq. units which is the required answer.