Let's find the derivative of that hyperbola in order to find a slope formula to help us with this equation. We already have an x and y value. The derivative is found this way:

so

. The derivative supplies us with the slope formula we need to write the equation. Sub in the x value of 3 to find what the slope is:

. So in our slope-intercept equation, x = 3, y = 1, and m = -1/3. Use these values to solve for b.

so b = 2. The equation, then, for the line tangent to that hyperbola at that given point is
Answer:
The answer is 10y + 48.
Step-by-step explanation:
First you have to get rid of brackets by expanding :

Next you have to collect like-terms :

Answer:
23
Step-by-step explanation:
cuz it starts with 13 as a1
Answer:
The value of every digit in a decimal figure is given by its position in that figure.
Step-by-step explanation:
<em>The Rule:</em>
The value of every digit in a decimal figure is given by its position in that figure.
For the figure 8.888, from left to right,
The first 8 is in units
The second 8 is in tenth (this means 8/10 = 0.8)
The third 8 is in hundreth (this means 8/100 = 0.08)
The fourth 8 is in thousandth (this means 8/1000 = 0.008)
The sum of the place values of the digits after the decimal point = 0.888
when the unit 8 is added, you then get 8.888
So cost=(# of items) times (Price per item)
necklace=48 bbeads and 1 charm
1 bead=0.05
charm=0.45
so we multiply
necklace=48(0.05)+1(0.45)
necklace=2.4+0.45
necklace=2.85
bracelet=25 beads and 4 charms
bracelet=25(0.05)+4(0.45)
bracelet=1.25+1.8
bracelet=3.05
necklace=$2.85
bracelet=$3.05