A = 0 (or) B = 0
Solution:
The zero product principle is most probably used to solve a quadratic equation by factoring the factors.
Let us know the definition of zero product principle.
Zero product principle:
The zero product principle states that if the product of two factors is zero then at least one of the factors must be zero.
This means that if AB = 0, then A = 0 (or) B = 0.
Hence, The zero-product principle states that
if AB = 0, then A = 0 (or) B = 0.
The answer is x=-5.5 . 2x-3 = 4x+8 . subtract 2x from both sides and then subtract 8 from both sides and get -11=2x . then divide both sides by 2 to get . -5.5=x
Step-by-step explanation:
1 2 3 4 5
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Step One
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Find the length of FO (see below)
All of the triangles are equilateral triangles. Label the center as O
FO = FE = sqrt(5) + sqrt(2)
Step Two
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Drop a perpendicular bisector from O to the midpoint of FE. Label the midpoint as J. Find OJ
Sure the Pythagorean Theorem. Remember that OJ is a perpendicular bisector.
FO^2 = FJ^2 + OJ^2
FO = sqrt(5) + sqrt(2)
FJ = 1/2 [(sqrt(5) + sqrt(2)] \
OJ = ??
[Sqrt(5) + sqrt(2)]^2 = [1/2(sqrt(5) + sqrt(2) ] ^2 + OJ^2
5 + 2 + 2*sqrt(10) = [1/4 (5 + 2 + 2*sqrt(10) + OJ^2
7 + 2sqrt(10) = 1/4 (7 + 2sqrt(10)) + OJ^2 Multiply through by 4
28 + 8* sqrt(10) = 7 + 2sqrt(10) + 4 OJ^2 Subtract 7 + 2sqrt From both sides
21 + 6 sqrt(10) = 4OJ^2 Divide both sides by 4
21/4 + 6/4* sqrt(10) = OJ^2
21/4 + 3/2 * sqrt(10) = OJ^2 Take the square root of both sides.
sqrt OJ^2 = sqrt(21/4 + 3/2 sqrt(10) )
OJ = sqrt(21/4 + 3/2 sqrt(10) )
Step three
find h
h = 2 * OJ
h = 2* sqrt(21/4 + 3/2 sqrt(10) ) <<<<<< answer.
Answer:
2.0625
Step-by-step explanation:
2+1/16
= 2.0625
= 206.25%
