Answer:
.
Step-by-step explanation:
Given:
We need to find 
.
Solution:
Now we can see that given figure is a rectangle with diagonals drawn in it.
So by properties of rectangle which states that;
"All angles of a rectangle are 90°."
So we can say that;
But
Substituting the values we get;
Subtracting both side by by 31 we get;
Hence .
Answer:
nice
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Answer:
Hope this helps
Step-by-step explanation:
g(x)=f(x−h) g ( x ) = f ( x - h ) - The graph is shifted to the right h units. The vertical shift depends on the value of k . When k>0 , the vertical shift is described as: ... g(x)=f(x)−k g ( x ) = f ( x ) - k - The graph is shifted down k units.
Part 1: If the roots of a polynomial are a, b, and c, then the factors can be written in the form (x - a), (x - b), and (x - c). In this case, we have (x - 3), (x - [3 + i]), and (x - [3 - i]). The three factors are (x - 3)(x - 3 - i)(x - 3 + i).
Part 2: The two factors with complex terms are (x - 3 - i)(x - 3 + i), and multiplying these terms as a difference of two squares can give:
(x - 3)^2 - i^2 = x^2 - 6x + 9 - (-1) = x^2 - 6x + 10
Part 3: We now multiply (x^2 - 6x + 10) by the remaining factor of (x - 3). This results in the cubic expression:
(x^2 - 6x + 10)(x - 3)
= x^3 - 3x^2 - 6x^2 + 18x + 10x - 30
= x^3 - 9x^2 + 28x - 30
