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:
They are both exactly the same.
Step-by-step explanation:
Answer:
After 4 hours, two candles be at the same height.
Step-by-step explanation:
Let us assume after burning for m hours, both candles are same height.
Length of candle A = 12 inch
Burning rate = 0. 5 inches per hour
So, the candle burned in m hours = m x (0.5) = 0.5 m inches
The height of candle left after m hours = 12 - 0.5 m
Length of candle B = 18 inch
Burning rate = 2 inches per hour
So, the candle burned in m hours = m x (2) = 2m inches
The height of candle left after m hours = 18 - 2 m
According to question:
After m hours: Height of candle A = Height of candle B
or, 12 - 0.5 m = 18 - 2 m
⇒ 12 - 18 = -2m + 0.5 m
or. - 6 = -1.5 m
or, m = 6 / 1.5 = 4
or, m = 4
Hence, after 4 hours, two candles be at the same height.
Answer:
4y+x-3=0
Step-by-step explanation:
The equation is y=mx+b
1) Use the coordinates from the first point
(-1,1)
1= -m+b
2) Use the coordinates frm the second point
(-5,2) (y=mx+b, use x=-5, y=2)
2=-5m+b
You have the system of equations
1=-m+b (multiply by -1) -1= m-b
2=-5m+b
Add the first equation (multiplied by -1) and the second one
-1+2= m-b-5m+b
1= -4m
m=-0.25
2=1.25+b
b=0.75
y=-0.25x+0.75
4y= -x+3
4y+x-3=0
Answer:
169.974068
Step-by-step explanation:
12494a-194879=1928777
+194879= +194879
12494a = 2123656
÷ 12494 = ÷ 12494
a = 169.974068