Answer:
x ∈ {-26, 22}
Step-by-step explanation:
A graph shows that the points (-26, -27) and (22, -27) lie on a circle of radius 40 centered at (-2, 5). That is, if Q is either one of these points, the vector PQ will have a length of 40:
- √((-26-(-2))^2 +(-27-5)^2) = √((-24)^2 +(-32)^2) = √1600 = 40
- √((22 -(-2))^2 +(-27 -5)^2) = √(24^2 +(-32)^2) = √1600 = 40
You can call it -40 if you like, but you have to define what negative length means when you do that.
Odd functions are those that satisfy the condition
f(-x)=-f(x)
For example, check if x^3 is odd =>
f(x)=x^3
f(-x) = (-x)^3
-f(x)=-x^3
Since (-x)^3=-x^3, we see that f(x)=x^3 is an odd function.
In fact, polynomials which contain odd-powered terms only are odd. (constant is even)
As an exercise, you can verify that sin(x) is odd, cos(x) is even.
On graphs, odd functions are those that resemble a 180 degree rotation.
Check with graphs of above examples.
So we identify the first graph (f(x)=-x^3) is odd (we can identify a 180 degree rotation)
Odd functions have a property that the sum of individually odd functions is
also odd. For example, x+x^3-6x^5 is odd, so is x+sin(x).
For the next graph, f(x)=|x+2| is not odd (nor even) because if we rotate one part of the graph, it does not coincide with another part of the graph, so it is not odd.
For the last graph, f(x)=3cos(x), it is not odd, again because if we rotate about the origin by 180 degrees, we get a different graph. However, it is an even function because it is symmetrical about the y-axis.
Answer:
140 inches
Step-by-step explanation:
Find the area of the square.
4 + 10 = 14 (Length)
11 + 4 = 15 (Breadth/Width)
Area = 14 x 15 = 210 inches
Find the area of the 2 unshaded squares in the square.
Area of square at the top = 4 x 4 = 16 inches
Area of square at the bottom = 6 x 9 = 54 inches
Add the 2 squares of the area together.
16 + 54 = 70 inches
Now deduct the area of the huge box by the area of the 2 unshaded squares.
210 - 70 = 140 inches
1st: toute valeur de x rend I'<span>équation vraie
tous les nombres r</span><span>éels
2nd: r</span><span>ésoudre l'équation pour x en trouvant a, b et c du quadratique puis en appliquant la formule quadratique
x = 2 ± i</span>
Answer:
8
Step-by-step explanation:
