Answer:
(x - 6)(x - 6)
Step-by-step explanation:
The given quadratic equation is 
.
A quadratic equation can be factored in the form 
where 
and 
will form the roots of the equation.
Here the roots are: 
.
The factored form would simply be: 
.
Answer:
117.5 or 235/2
Step-by-step explanation:
We can set up an equation for this problem:
Lets Joe's weight be x
then:
2x -5 = 230
therefore:
2x = 235
x = 117.5 or 235/2
Standard form : Ax + By = C
y = 2/3x + 1
-2/3x + y = 1....multiply by -3
2x - 3y = -3 <=== standard form
Answer:
1
Step-by-step explanation:
You want to know the value of i^4.
<h3>Powers of i</h3>
The fourth power of i, √(-1), can be found the same way the value of any fourth power can be found: carry out the multiplication.
i^4 = i·i·i·i = -1·i·i = -i·i = -(-1) = 1
The fourth power of i is 1.
__
<em>Additional comment</em>
As you can see from the evaluation process, ...
i¹ = i
i² = -1 . . . . . definition of i
i³ = -i
i⁴ = 1
The sequence repeats for higher powers.
<span>Semicircle area = circle area / 2 = (pi*r^2)/2
16 in is the radius. Let's call the area of this semicircle s.
3.14*16^2=s
</span><span>Trapezoid area = ((base 1 + base 2) / 2) * h
Here, base 1 is 44 and base 2 is 36. The height (h) is 20. Let's call this trapezoid's area t.
(44+36)/2 *20 = t
</span>
<span>We can remove the area of the semicircle (that created by the windshield wiper) by subtracting it from the area of the trapezoid.
t - s = uncleaned area
[(44+36)/2 * 20] - [3.14 * 16^2] = uncleaned area</span>
