Answer:
The remainder is: 3x+3
The quotient is: 1
Step-by-step explanation:
We need to divide
(3x^2 + 9x + 7) by (x+2)
The remainder is: 3x+3
The quotient is: 1
The solution is attached in the figure below.
Answer:
Yes, They are similar by SSS PMK similar to LMQ.
Step-by-step explanation:
Similar triangles corresponding side lengths are in a proportion.
KM corresponds with MQ
PM corresponds with LM.
Set up this proportion.


Cross multiply

So the triangles ARE Similar.
- PM corresponds with LM
- KM corresponds with MQ
- PK corresponds with LQ
- So PMK is similar to LMQ
Answer:
The answer to your question is letter A. Regular size is cheaper than Economy size by $0.0003 per gram
Step-by-step explanation:
Cost of 1 gr of economy size
5000 gr (5 kg) ------------------- $ 5.15
1 gr -------------------- X
x = 1 x 5.15 / 5000 = $0.0010
Cost of 1 gr of regular size
820 gr ------------------- $0.60
1 gr -------------------- x
x = 1 x 0.6 / 820 = $ 0.0007
Difference of cost = $0.0010 - $0.0007 = $0.0003
Answer:
9 cm, 7 cm, 6 cm and 8 cm
Step-by-step explanation:
The perimeter is the sum of all the sides.
4 sides' expressions are given, so we add them and equate to 30.

Note: we disregard the value of x = -6, because it is going to give us side with negative length, that can't happen!
So, we take x = 4
Hence, length of each side is:
x + 5 = 4 + 5 = 9 cm
x + 3 = 4 + 3 = 7 cm
2x -2 = 2(4) - 2 = 8 - 2 = 6 cm
x^2 - 2x = (4)^2 - 2(4) = 16 - 8 = 8 cm
These are the lengths of 4 sides: 9 cm, 7 cm, 6 cm and 8 cm.