Both equal to y so set equal to each other
4x+4=x²+4
minus 4 both sides
4x=x²
minus 4x both sides
0=x²-4x
factor
0=x(x-4)
set each to zero
0=x
0=x-4
4=x
x=4 and 0
2 solutions
Answer:
9m
Step-by-step explanation:
3/4 = 0.75
each piece = 0.75
0.75x12=9
Answer:
Beginning Balance; Interest Payment; Principal Payment
$7,000.00 $17.50 $283.37
Step-by-step explanation:
i hope this help
Y² - 12y + 32
The middle term must be written in such a way that the sum of two numbers is -12y and the product is 32y²
The two such numbers are -4y and -8y
So, we can write:
y² - 4y - 8y + 32
= y(y - 4) - 8(y - 4)
= (y - 4)(y - 8)
So, option B gives the correct answer
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.
