The rule to remember about generating the perpendicular family to a line is we swap the coefficients on and x and y, remembering to negate one of them. Then the constant is set directly from the intersecting point.
So we have
y = 3x + 2
-3x + 1y = 2
Swapping and negating gets the perpendiculars; the constant is as yet undetermined.
1x + 3y = constant
Since we want to go through (0,2), we could have just written
x + 3y = 0 + 3(2) = 6
3y = -x + 6
y = (-1/3) x + 2
Third choice
Numbers whose only factors are 1 and itself is known as prime numbers , numbers whose factors besides 1 and itself are composite numbers, we can use the sieve of Eratosthenes to determine whether the number is prime or composite.
Given a paragraph in which there are blanks:
A _____ is a number whose only factors are 1 and itself. If a number has factors besides 1 and itself, it is called a _____. You can use divisibility rules or _______ to help you determine whether a number is prime or composite.
We are required to fill the blank with appropriate options.
We have to fill "prime numbers" in the first blank.
We have to fill "composite numbers" in the second blank.
We have to fill "the sieve of Eratosthenes" in the third blank.
Hence numbers whose only factors are 1 and itself is known as prime numbers , numbers whose factors besides 1 and itself are composite numbers, we can use the sieve of Eratosthenes to determine whether the number is prime or composite.
Learn more about prime numbers at brainly.com/question/145452
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Answer:
9^8
Step-by-step explanation:
The total number of ants is
(total number of sections)(ants in each section).
let x be the total number of ants.
Substitute the given values.
x = (9^2)(9^6)
x = 9^(2+6) <= exponent rule: when multiplying exponents with the same base, add the exponents.
x = 9^8
Answer:
Theater B.
Step-by-step explanation:
Find out each theatre's percentage of seats taken.
Theater A =
100% = 60
1% = 60 ÷ 100 = 0.60
36 ÷ 0.60 = 60% of the seats taken.
Theater B =
81 + 9 = 90
100% = 90
1% = 90 ÷ 100 = 0.90
81 ÷ 0.90 = 90%
Theater C =
100% = 80
1% = 80 ÷ 100 = 0.80
80 - 12 = 68
68 ÷ 0.80 = 85%
Theater B have the greatest percentage of seats taken out of all 3.
