Answer:
Just like combining like terms with the same variables, you combine like
radicals with the same number under the radical signs.
Step-by-step explanation:
Example:
3x + 2x
= 5x {combined like terms}
3√2 + 2√2
= 5√2 {combined like radicals}
Answer:
24x - 40
Step-by-step explanation:
8 x 3 = 24
8 x 5 = 40
24x - 40
The thirty-second term is 143
Further explanation:
As it is already given that the given sequence is an arithmetic sequence
We have to find the common difference first
So,
The common difference is 5.
And first term is -12
The explicit formula for arithmetic sequence is:
Putting the values in the formula
Putting n=32 in explicit formula
The thirty-second term is 143
Keywords: Common difference, Arithmetic Sequence
Learn more about arithmetic sequence at:
#LearnwithBrainly
<h3>Problem Solution</h3>
Assuming the spool is a cylinder and the circumference we're winding around is that of a circle with the given area, we can write the relation between circumference and area as
... C = 2√(πA)
10 times the circumference is then
... 10C = 20√(π·20 cm²) = 40√(5π) cm ≈ 159 cm
<h3>Formula Derivation</h3>
The usual formulas for circumference and area are
... C = 2πr
... A = πr²
If we multiply the area formula by π and take the square root, we get
... πA = (πr)²
... √(πA) = πr
Multiplying this by 2 gives circumference.
... C = 2√(πA) = 2πr
Answer:
x = -7/2
Step-by-step explanation:
( x + 9 ) - ( x -2 )=
2x +7 =
2x = -7
x = -7/2
