Answer:
The second choice is the correct one.
Step-by-step explanation:
20x^4 - 45x^2
GCF is 5x^2, so the factors are:
5x^2( 4x^2 - 9)
Now 4x^2 - 9 is the differencr of 2 squares:
4x^2 - 9 = (2x + 3)(2x - 3)>
Answer:
Except k=7, any real number for k would cause the system of equations to have no solution.
Step-by-step explanation:
In general a system of equations can be represented as ax+by=c and dx+ey=f. In order this system of equations to have NO SOLUTIONS a/d=b/a≠c/f. In our example a=6, b=4, c=14, d=3, e=2 and f=k. To apply the formula above, 6/3=4/2≠14/k. Hence k≠7. It can be concluded that except k=7, any real number for k would cause the system of equations to have no solutions.
Just for information, if k=7 the system will have infinitely many solutions.
Answer:
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Answer:


Step-by-step explanation:
You have the following exponential expression:

You need to divide both sides of the equation by 2:

Now apply the function Natural logarithm to both sides of the function:

Note that now the exponential function is transformed into a logarithmic function.
By definition:
Because the base of the Natural logarithm is the Euler's number "e".
Then you can solve for "x":
)
Segment F'G' is 7 units long,
just like segment FG is .
Dilation is the only transformation
that changes the size of anything.
Translation and reflection don't change anything
except the locations of things.