How many groups were there
Answer:
Step-by-step explanation:
The sum of the two roots is ...
(-1 +4i) + (-1 -4i) = -2
This value is the opposite of b/2, so b = -2(-2) = 4.
__
The product of the two roots is ...
(-1 +4i)(-1 -4i) = ((-1)² -(4i)²) = 1 +16 = 17
This value is c/2, so c = 2(17) = 34.
The value of b is 4; the value of c is 34.
_____
<em>Further explanation</em>
A quadratic factored as ...
y = a(x -p)(x -q)
expands to ...
y = ax^2 -a(p+q)x +apq
So, for roots p and q, ...
b = -a(p+q)
c = apq
In this problem , a=2, p=-1+4i, q=-1-4i.
Answer:
2x-5
remainder of 0
Step-by-step explanation:
Check the image
Answer:
14 inches of the original length of ribbon is left.
Step-by-step explanation:
It is given that the total length of ribbon is 32 inches.
It is also given that he cuts six 3-inch pieces from the original length. This means:
6*3 = 18 inches
18 inches are cut from the total length of ribbon.
So the remaining ribbon will be:
= 32-18 = 14 inches
Hence,
14 inches of the original length of ribbon is left.
Answer:
SAS Similarity Theorem
Step-by-step explanation:
we know that
<u>SAS Similarity Theorem</u>: States that if two sides in one triangle are proportional to two sides in another triangle and the included angle in both are congruent, then the two triangles are similar
In this problem
∠HJZ=∠RJW ----> by vertical angles
and
WJ/HJ=JR/JZ
substitute the values
8/4=6/3
2=2 ----> is true
so
Two sides of triangle HJZ are proportional with the two corresponding sides of triangle WJR and the included angle is congruent
therefore
Triangles are similar by SAS Similarity Theorem