Answer:
The trinomial is not a perfect square trinomial because the third term is not a square.
Step-by-step explanation:
A trinomial is an expression composed of three terms that are joined together by addition or subtraction.
A perfect square is created when a value is multiplied times itself. Thus, , making the trinomial a² + 2ab + b² a perfect square.
To show that a trinomial is a perfect square you must show that if the first and third terms are squares, figure out what they're squares of. Multiply those things, multiply that product by 2, and then compare your result with the original quadratic's middle term. If you've got a match (ignoring the sign), then you've got a perfect-square trinomial.
The trinomial is not a perfect square trinomial because the third term is not a square.
Answer:
19.3795 m
Step-by-step explanation:
If sound travels at 343 m/s and it took Karen 0.113 s to hear the echo from the wall, the distance travelled by the sound is:
Note that the distance calculated above is the distance travelled from Karen to the wall and then back from the wall to Karen. Therefore, the distance between Karen and the wall is:
The wall is 19.3795 m away from Karen.
Answer:
nickels = 12
quarters = 9
Step-by-step explanation:
Let number of quarters be "q", and
number of nickels be "n"
Nickels are worth $0.05 and Quarters are worth $0.25
Since all of them are worth 2.85, we can write:
0.25q + 0.05n = 2.85
Also, we know, there are 3 more nickels than quarters, so we can write:
n = 3 + q
Now, we can substitute equation 2 into equation 1 to get:
Now, we solve for q:
There are 9 quarters.
We know n = 3 + q
So,
n = 3 + 9
n = 12
There are 12 nickels