Answer:
The value of x = 5 units.
Step-by-step explanation:
Given the right-angled triangle ∆ABC with the following dimensions
AC = a = 12
BC = c = hypotenuse = 13
AB = b = x
Pythagorean Theorem
For a right-angled triangle with the sides, a and b the hypotenuse c is defined as:

Thus, using the Pythagorean Theorem to determine the value 'x',

as b = x, so

so


Therefore, the value of x = 5 units.
width = x
length = 2x+8
area = l x w
x<span>(2x+8)</span>=120
<span><span>2<span>x^2</span>+8x−120=0 </span>
</span>
<span><span><span>x^2</span>+4−60=0 </span></span>
<span><span><span>(x+10)</span><span>(x−6)</span>=0</span>
</span>
<span><span>x=−10 and x=6 </span></span>
<span><span> width has to be a positive number</span></span>
Width = <span>6
</span> inches.
I got 6 units^2. So the answer is the second choice. ab/2 = 3*4/2 = 6.
Find the standard form of the equation of the parabola with a focus at (-4, 0) and a directrix at x = 4.
This should be the correct answer.