Answer:
Step-by-step explanation:
Part A : when comparing graphs : A system of equations will have no solutions (on a graph) when your lines never cross each other. They never cross each other because your lines are parallel.
Part B : by comparing each algebraic equation : A system of equations will have no solution if your lines are parallel. Parallel lines will have the same slope but different y intercepts. Example :
2x - y = 2
4x - 2y = 8
put both equations in slope intercept form
y = 2x - 2
y = 2x - 4
they both have the same slope of 2.....and the y intercepts are different....meaning they are parallel lines and have no solutions
Use the rule of logarithms:
log(a)-log(b)=log(a/b)
log(65--log(x)=log(39)=log(65/x)
=> 39=65/x =>
x=65/39=5/3
Answer:
147
Step-by-step explanation:
22+27+98=147
1) When you have an exponent being raised to an exponent, you multiply them. 2*3 is 6, so you have x^6, which would make C your answer.
2) You reduce them by subtracting the top ones from the bottom ones, so it becomes x^2*z. The y's cancel out, 6-4 is 2 and 9-8 is 1. Your answer is C again.
3) As you did in one, simply multiply out the top first. The top them becomes 9x^12*y^18. Subtract the bottom exponents to get 9x^6y^9/3, which then becomes 3x^6*y^9, which is D.
4) When you have a square root over a square root, you can put the numbers inside like this: . 81 over 27 is equal to 3, so you have sqrt3 as your answer - A.
5) You have sqrt2*2*sqrt3. You can put 2*3 under the square root together, and they multiply to 6, so you have 2sqrt6 - D.
Answer:
First coin Second coin outcome
H T HT
T H TH
T T TT
Step-by-step explanation:
First coin Second coin outcome
H T HT
T H TH
T T TT