Answer:
45 degrees
Step-by-step explanation:
All triangles equal 180 degrees so your just add the two existing angles which gets you 135 then you do 180-135, therefore giving you 45
Basically you just divide:
123/3 = 41
So the sale price of the coat would be $41
Answer:
1/2, 3
Step-by-step explanation:
This is a pretty involved problem, so I'm going to start by laying out two facts that our going to help us get there.
- The Fundamental Theorem of Algebra tells us that any polynomial has <em>as many zeroes as its degree</em>. Our function f(x) has a degree of 4, so we'll have 4 zeroes. Also,
- Complex zeroes come in pairs. Specifically, they come in <em>conjugate pairs</em>. If -2i is a zero, 2i must be a zero, too. The "why" is beyond the scope of this response, but this result is called the "complex conjugate root theorem".
In 2., I mentioned that both -2i and 2i must be zeroes of f(x). This means that both
and
are factors of f(x), and furthermore, their product,
, is <em>also</em> a factor. To see what's left after we factor out that product, we can use polynomial long division to find that

I'll go through to steps to factor that second expression below:

Solving both of the expressions when f(x) = 0 gets us our final two zeroes:


So, the remaining zeroes are 1/2 and 3.
Area of rectangle = L × B
Where
L is length and B is breadth
A = x × 5
45 = x × 5
x =45 /5
x = 9/1
x = 9 (units)
<span> x x
----------------- - --------------------
x^2 -4x + 4 </span><span>x^2-3x+2
</span> x x
= ---------------- - --------------------
(x -2)^2 (x - 2)(x - 1)
x (x-1) - x(x +2)
= ----------------------------
(x -2)^2 (x - 1)
x^2 -x -x^2 - 2x
= --------------------------
(x -2)^2 (x - 1)
-3x
= -----------------------
(x -2)^2 (x - 1)
answer
<span>missing term in the equation: -3x</span>