3b(3-b) is the answer
Step by step explanation : take out the most common factor which is 3b
Simplifying
3a + 2b + c = 26
Solving
3a + 2b + c = 26
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '-2b' to each side of the equation.
3a + 2b + -2b + c = 26 + -2b
Combine like terms: 2b + -2b = 0
3a + 0 + c = 26 + -2b
3a + c = 26 + -2b
Add '-1c' to each side of the equation.
3a + c + -1c = 26 + -2b + -1c
Combine like terms: c + -1c = 0
3a + 0 = 26 + -2b + -1c
3a = 26 + -2b + -1c
Divide each side by '3'.
a = 8.666666667 + -0.6666666667b + -0.3333333333c
Simplifying
a = 8.666666667 + -0.6666666667b + -0.3333333333c
Answer:
1. 121 π unit²
2. 143°
3. 151 unit²
Step-by-step explanation:
1.
Area of a circle is given by the formula A = πr²
where
A is the area,
r is the radius of the circle
From the given diagram, we can see that the radius is 11, hence the area will be:

The answer is
units^2
2.
The unshaded secctor and the shaded sector equals the circle. We know that circle is 360°. The unshaded sector has an angle of 217°. So the shaded part will be 360 - 217 = 143°
The measure of the central angle of the shaded sector is 143°
3.
Area of a sector is given by the formula 
Where
is the central angle of the sector (in our case it is 143°)
r is the radius (which is 11)
Plugging in all the info into the formula we have:

<em>rounding to the nearest whole number, it is </em>151 units^2
Answer:
Step-by-step explanation:
Let d be the number of days.
We have been that each day Katie finds 12 more seashells on beach, so after collecting shells for d days Katie will have 12d shells.
We are also told that Katie already has 34 seashells in her collection, so total number of shells in Katie collection after d days will be: 
As Katie wants to collect over 100 seashells, so the total number of shells collected in d days will be greater than 100. We can represent this information in an inequality as:
Therefore, the inequality
can be used to find the number of days, d, it will take Katie to collect over 100 seashells.
Answer:
ln [(x + 2)^3 ]/(x-1)
Step-by-step explanation:
3ln(x+2) - ln(x - 1) = ln (x + 2)^3 - ln (x-1)
ln (x + 2)^3 - ln (x-1) = ln [(x + 2)^3 ]/(x-1)