Answer:
<h2>
y = -¹/₄x - 1</h2>
Step-by-step explanation:
If two lines are perpendicular then the product of theirs slopes is equal -1:
y=m₁x+b₁ ⊥ y=m₂x+b₂ ⇒ m₁×m₂ = -1
y = 4x - 2 ⇒ m₁=4
4×m₂ = -1 ⇒ m₂ = -¹/₄
The line y=-¹/₄x+b passes through point (4, -2) so the equation:
-2 = -¹/₄×4 + b must be true
-2 = -1 + b
b = -1
Therefore equation in slope-intercept form:
y = -¹/₄x - 1
Answer:
350 adult tickets were sold
Step-by-step explanation:
Let x represent the number of adult tickets sold.
Since there were 60 fewer student tickets sold than adult tickets, the number of student tickets sold can be represented by x - 60
Create an equation that sets up these terms equal to 640, then solve for x:
(x) + (x - 60) = 640
2x - 60 = 640
2x = 700
x = 350
So, 350 adult tickets were sold
C emily is 7 blocks due west from the town center :) hope its right
Answer:
Because each term of the sequence generates numbers with more than 1 and itself as dividers
Step-by-step explanation:
Just for the sake of correction.
1) Let's consider that
n! =n(n-1)(n-2)(n-3)...
2)And examine some numbers of that sequence above:
Every Natural number plugged in n, and added by two will a be an even number not only divisible by two, but in some cases by other numbers for example,n=4, then 4!+2=26 which has four dividers.
3) Similarly, the same happens to
and
Where we can find many dividers.
There's an example of a sequence, let's start with a prime number greater than 1
Let n=11
That's a long sequence of consecutive composite numbers, n=11.
Answer:
x=(-∞,∞)
y=65/3
Step-by-step explanation: