Answer:
slope = 
and - 
, perpendicular
Step-by-step explanation:
the equation of a line in slope-intercept form is
y = mx + c ( m is the slope and c the y-intercept )
y = x + 11 is in this form with m =
Rearrange 7x + 3y = 13 into this form
subtract 7x from both sides
3y = - 7x + 13 ( divide all terms by 3 )
y = - x + 
← in slope- intercept form
with m = -
• Parallel lines have equal slopes
• The product of perpendicular slopes = - 1
The lines are not parallel since slopes are not equal
× - = - 1
Hence lines are perpendicular
For the trapezoid, the equation used to solve for the area is,
A = (0.5)(b₁ + b₂)(h)
where b₁ and b₂ are the measure of the bases and h is the height. Substituting the known values above,
1224 = (0.5)(70.5 + 65.5)(h)
h = 18
Thus, the height of the counter top is 18 inches.
Answer:
21.90890230 or 21.91 (I'm assuming you're saying 120/ √30)
Step-by-step explanation:
Answer:
No
Step-by-step explanation:
A rational number is a number that can be expressed as a fraction p/q where p and q are integers and q!=0. A rational number p/q is said to have numerator p and denominator q. Numbers that are not rational are called irrational numbers. The real line consists of the union of the rational and irrational numbers. The set of rational numbers is of measure zero on the real line, so it is "small" compared to the irrationals and the continuum.
The set of all rational numbers is referred to as the "rationals," and forms a field that is denoted Q. Here, the symbol Q derives from the German word Quotient, which can be translated as "ratio," and first appeared in Bourbaki's Algèbre (reprinted as Bourbaki 1998, p. 671).
Any rational number is trivially also an algebraic number.
Examples of rational numbers include -7, 0, 1, 1/2, 22/7, 12345/67, and so on. Farey sequences provide a way of systematically enumerating all rational numbers.
The set of rational numbers is denoted Rationals in the Wolfram Language, and a number x can be tested to see if it is rational using the command Element[x, Rationals].
The elementary algebraic operations for combining rational numbers are exactly the same as for combining fractions.
It is always possible to find another rational number between any two members of the set of rationals. Therefore, rather counterintuitively, the rational numbers are a continuous set, but at the same time countable.
