Answer:
a = 1
Step-by-step explanation:
One must simplify this expression, by distributing. In order to find a solution, where x has infinite solutions, one must make this equation an identity. That means that the equation will hold true, no matter what value of x is plugged in.
Distribute;
6x - 2 = 6x - 2a
Inverse operations;
6x - 2 = 6x - 2a
-6x -6x
-2 = -2a
1 = a
For this equation to be true no matter what, a must equal 1.
<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:
It is wrong
Step-by-step explanation:
y < 18
This is read as y is less than 18. If the students forgot to flip the symbol and mistakenly believe that y > 18.
y > 18
This is read as y is greater than 18.
There is a difference between the numbers greater or less than 18 .
y must have numbers less than 18 and 21 is greater than 18.
Therefore it is wrong.
But to make it true we can multiply minus with the inequality y > 18
-y > -18
This reverses the inequality sign and it becomes
y< 18
The solution which is required.
the answer is 87 60% or 145 = 87
Answer:
32 times
Step-by-step explanation:
1/8 x 8= 1
1/8 x 32= 4
