Answer:
90/1.5=60 mph
Step-by-step explanation:
I assume that the train is traveling at constant speed.
Between 12:45 pm and 2:15 pm the train has traveled 180-90=90 miles. So 90 miles in 1.5 hours which means that its speed is 90/1.5=60 mph
Essentially, the rule goes as so: odd + odd = even, even + even = even.
Although that may not be the answer you're looking for, it is a math rule that is never debunked and essentially the premises for why you get an even sum practically always depending on the numbers.
Hope this helps!
Answer:

Step-by-step explanation:
<u><em>Given Equation is </em></u>
=> 
Comparing it with
, we get
=> a = 2, b = 7 and c = -9
So,
Sum of roots = α+β = 
α+β = -7/2
Product of roots = αβ = c/a
αβ = -9/2
<em>Now, Finding the equation whose roots are:</em>
α/β ,β/α
Sum of Roots = 
Sum of Roots = 
Sum of Roots = 
Sum of roots = 
Sum of roots = 
Sum of Roots = 
Sum of roots = 
Sum of roots = S = 
Product of Roots = 
Product of Roots = P = 1
<u><em>The Quadratic Equation is:</em></u>
=> 
=> 
=> 
=> 
This is the required quadratic equation.
Answer:
y = -¼│x − 5│+ 3
Step-by-step explanation:
y = a│x − h│+ k
(h, k) is the vertex of the absolute value graph. In this case, it's (5, 3).
y = a│x − 5│+ 3
One point on the graph is (1, 2). Plug in to find the value of a.
2 = a│1 − 5│+ 3
2 = 4a + 3
a = -¼
Therefore, the graph is:
y = -¼│x − 5│+ 3
Answer:
2y + 2x = 0
Step-by-step explanation:
First you have to find the slope of the line.
Parallel lines have same slope
2y = -2-2x
y=-1-1x, y=-1x-1
slope = -1
Use point slope formula
y-y=m(x-x)
y-(-9) = -1(x-9)
y+9 = -1(x-9)
y+9 = -1x+9
y = -x
y + x = 0
2y + 2x = 0