1. 4x + 8y = 12....divide by 4
x + 2y = 3
2y = -x + 3
y = -1/2x + 3/2...slope is -1/2, y int is 3/2
x + 2y = -3
2y = -x - 3
y = -1/2x - 3/2...slope is -1/2 and y int is -3/2
when the slopes are the same, and the y int are different, then the lines are parallel and never intersect...so they have no solution and are inconsistent
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2. y = 2x - 1...slope is 2 and y int is -1
y = -2x + 5 ...slope is -2 and y int is 5
when the slopes are different and the y int are different, then there is 1 solution making it independent
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3. 4x - 12y = 8...divide by 4
x - 3y = 2
same as other equation meaning the equations are the same line...meaning they have infinite solutions making them dependent
The answer would be 16.
you have to multiply 4 and 8 which =32 and then divide 32 by 2 which =16
Quadrilateral ABCD is a kite
AB is congruent to AD -- definition of a kite
BC is congruent to DC -- definition of a kite
draw a line segment AC
AC is congruent to itself -- identity
triangle ABC is congruent to triangle ADC -- SSS
angle ABC is congruent to ADC
QED
Step-by-step explanation:
A six sided dice contains even numbers on three sides and odd numbers on remaining three sides.
Therefore,
Probability of rolling an odd number
Answer:
x = –4
Step-by-step explanation:
x = –koef x / (2•koef x²)
