Given the trinomial, what is the value of the coefficient 'B' in the factored form?. . 2x^2 + 14xy - 36y^2 = 2(x + By)(x - 2y).
2 answers:
Answer:
the coefficient of B is, 9
Step-by-step explanation:
Given the trinomial:
First Multiply:
Distribute the first term of the first expression to the second expression and second term of the first expression to the second expression
⇒
⇒
⇒
Now;
On comparing both sides we have;
Add 4 to both sides we have;
Divide both sides by 2 we have;
B =9
or
-4B = -36
Divide both side by -4 we have;
B = 9
Therefore, the coefficient of B is, 9
You might be interested in
Given:
The scale factor is and the center of dilation is at the point (4,2).
Red is original figure and green is dilated figure.
To find:
The coordinates of point C' and point A.
Solution:
Rule of dilation: If a figure is dilated with a scale factor k and the center of dilation is at the point (a,b), then
According to the given information, the scale factor is and the center of dilation is at (4,2).
...(i)
Let us assume the vertices of red triangle are A(m,n), B(10,14) and C(-2,11).
Using (i), we get
Therefore, the coordinates of Point C' are C'(2,5).
We assumed that point A is A(m,n).
Using (i), we get
From the given figure it is clear that the image of point A is (8,4).
On comparing both sides, we get
And,
Therefore, the coordinates of point A are (16,8).