Answer: i
Step-by-step explanation:
It is imaginary, since if you try squaring numbers, ex: -1, 1,0,2 you always get a number bigger or equal to 0.
For years mathematicans argued weather the square root of -1 (or any negative number) should exist.
Then one day, a mathematician proposed a soulution, the square root of -1 could be i. Everyone liked that and so now the square root of -1 is i
Answer: He will divide to convert pounds to ounces.
Step-by-step explanation:
Answer:
see the explanation
Step-by-step explanation:
we know that
The <u>Triangle Inequality Theorem</u> states that the sum of any 2 sides of a triangle must be greater than the measure of the third side
In this problem
If the perimeter of triangle is equal to 36 cm
The longest side can't be equal to 18 cm
The student is incorrect
Because if the longest side is equal to 18 cm, and the perimeter is equal to 36 cm, then the sum of the other two sides is equal to 18 cm
and
Applying the triangle inequality theorem
Let
c -----> the longest side
a and b the other two sides
we have that
if c=18 cm
a+b > c
a+b > 18 cm
therefore
If the longest side is 18 cm, the sum of the other two sides must be greater than 18 cm and the perimeter will be greater than 36 cm
The distance between two numbers
and
is given by the absolute value of their difference,
.
So the distance on the number line between
and
is
DE and EF are segments of the line DF, so they will add up to DF. This can be represented with this equation:
Combine like terms:
Add 15 to both sides:
Subtract 6x from both sides:
Divide both sides by 3 to get x by itself:
The value of x will be 8.
Plug this value of x into the expression for DF:
DF will equal 57.