Answer:
y = -5x - 1
Step-by-step explanation:
Let the equation of a line parallel to the given line is,
y - y' = m(x - x')
Where m = slope of the line
And line passes through (x', y')
Equation of a line has been given as,
5x + y = 4
y = -5x + 4
Slope of this line = -5
By the property of parallel lines "slope of the parallel lines are same",
m = -5
Parallel line passing through (-1, 4) and slope 'm' = -5 will be,
y - 4 = -5(x + 1)
y - 4 = -5x - 5
y = -5x - 5 + 4
y = -5x - 1
Therefore, equation of the parallel line will be,
y = -5x - 1
Length of the rectangular patio = 
Let the width of the patio be = x
Area of the patio is given as = 
As the area of a rectangle is = length*width, so
x= 
= 
x = 
Hence, width of the patio is feet.
Answer:
5 units were bought
Step-by-step explanation:
Firstly, let us calculate the total amount paid
If what was paid was $9.45, this cost includes the price of the coupon subtracted
Returning the coupon price, we have the total as;
9.45 + 0.5 = $9.95
So to get the number bought, we divide this total by the price for one
We have this as;
9.95/1.99 = 5
Answer:
Step-by-step explanation:
The terminal arm is either in quad 1 or quad 3
Natural numbers are closed under division: false.
A set is closed under a certain operation if the results of that operation are always inside that set.
So, if natural numbers were closed under division, the division of two natural numbers would always be a natural number.
You have plenty of counterexamples, to pick one you may divide any odd number by 2: 5/2 is not a natural number.
Negative numbers are closed under addition: true.
Let 
be two positive numbers. So, 
are two negative numbers. Their sum is
And since 
is positive, we deduce that 
is negative, so the sum of two negative numbers is still negative.
Prime numbers are closed under subtraction: false.
This would mean that the subtraction of two primes is also a prime. Again, there are many counterexamples: 7 is prime and so is 3, but their difference 7-3 is 4, which is not prime.
