5
74
associative property
between A and B
Difficult to tell when you cannot use parentheses. a*(b+c) or a(b+c) = ab + ac This is known as the distributive property of multiplication over addition.
If AC plus CB equals AB and AC is equal to CB, then point C is the midpoint of segment AB. This means that point C divides the segment AB into two equal parts, making AC equal to CB. Therefore, point C is located exactly halfway between points A and B.
74
AC is in the range (2x - 10, 14x + 4)
yes because ab plus bc is ac
the midpoint of AB.
If: y = x^2 -4x +8 and y = 8x -x^2 -14 Then: x^2 -4x+8 = 8x -x^2 -14 Transposing terms: 2x^2 -12x+22 = 0 Divide all terms by 2: x^2 -6x +11 = 0 Using the discriminant b^2 -4(ac): 36 -4(1*11) = -8 Therefore it follows that there are no points of intersection because the discriminant is less than zero.
associative? single replacement
associative property
Are you sure that the given expressions are right? Because we are dealing with complex numbers (a little bit work for this kind of exercise).ab = 4x + 8bc = 8x + 4ac = 18x - 11b = a/(4x + 8)c = b/(8x + 4) = [a/(4x + 8)[/(8x + 4) = a/[(4x + 8)(8x + 4)]c = a/(18x - 11)a/[(4x + 8)(8x + 4)] = a/(18x - 11) this happens only when:(4x + 8)(8x + 4) = (18x - 11)32x^2 + 16x + 64x + 32 = 18x - 1132x^2 + 62x + 43 = 0x = [-62 ± √(62^2 - (4)(32)(43)]/[(2)(32)]x = [-62 ± √(-1660)]/64x = [-62 ± i√(1660)]/64x = -62/64 ± i√(1660/4096) (64^2 = 4096)x = -31/32 ± i√[415/1024]Substitute -31/32 ± i√[415/1024] for x, and find the value of ab, bc, and ac.ab = 4x + 8bc = 8x + 4ac = 18x - 11
between A and B
If point C is between points A and B, then the segment AC plus the segment CB equals the total distance AB. In other words, AC + CB = AB. Therefore, if we denote the distances as AC and CB, the equation simplifies to AC + CB = AB.
if f :- a+b = ac then fd:- a.b = a+c
AB plus BC equals AC is an example of the Segment Addition Postulate in geometry. This postulate states that if point B lies on line segment AC, then the sum of the lengths of segments AB and BC is equal to the length of segment AC. It illustrates the relationship between points and segments on a line.