To solve the system of linear equations 3x-2y = 4 and 9x-by = 12 by using the linear combination method, Henry decided that he should first multiply the first equation by -3 and then add the two equations together to eliminate the
x-terms. When he did so, he also eliminated the y-terms and got the equation 0 = 0, so he thought that the system of
equations must have an infinite number of solutions. To check his answer, he graphed the equations 3x-2y = 4 and
9x-by= 12 with his graphing calculator, but he could only see one line. Why is this?
because the system of equations actually has only one solution
because the system of equations actually has no solution
because the graphs of the two equations overlap each other
O because the graph of one of the equations does not exist
oh

point a is the center of the circle that passes through points e, f, and g and the center of the circle that passes through points x, y, and z.

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step-by-step explanation:

sin(7pi/6 - pi/3)  

= sin(7pi/6 - 2pi/6)  

= sin(5pi/6)  

= sin(pi - pi/6)  

= sin(pi/6)  

= 1/2  

sin 7pi/6 - sin pi/3  

= sin (pi + pi/6) - sin pi/3  

= -sin pi/6 - sin pi/3  

= -1/2 - sqrt(3)/2  

= -(1+sqrt(3))2

hello,

b) 62.47% of the students are between 14 and 18 years old.

step-by-step explanation:

mean = 15 and standard deviation = 2

student between 14 to 18

formula used z-score

for age 14 , z score

using z-table , p(z> -0.5)=0.3085

for age 18 , z score

using z-table , p(z< 1.5)=0.9332

p(-0.5< z< 1.5)=0.9332-0.3085 = 0.6247

thus, 62.47% of the students are between 14 and 18 years old.

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step-by-step explanation:

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