Hmm
let's try some numbers
we have 3 scenarios
x>y
x=y
x<y
x>y
x=-1 and y=-2
x-y=-1-(-2)=-1+2=1
it's positive when x>y
x=y
x=-1, y=-1
-1-(-1)=-1+1=0
nope
x<y
x=-2 and y=-1
-2-(-1)=-2+1=-1
nope
x-y is positive when 0>x>y
Answer:
10 feet
Step-by-step explanation:
Given
Dimension = 2 feet by 3 feet
Required
Determine the length of the short side if the longer side is scaled to 15 feet
Represent the before and after enlargement as a ratio:
Before Enlargement
Ratio = 2 ft : 3ft
After Enlargement
Ratio = x : 15 ft
Where x represents the length of the shorter side
Since they're both proportional, their ratio must be equal.
So, we have:
2 : 3 = x : 15
Convert ratio to fraction
⅔ = x/15
Multiply both sides by 15
15 * ⅔ = 15 * x/15
15 * ⅔ = x
30/3 = x
10 = x
x = 10
Hence, the length of the shorter side must be 10 feet
Answer:
a
Step-by-step explanation:
to find a proportion they must equal each other
8/4 in its simplest form is just 2
to make r/3 = 2 r must be 6
6/3 is 2
We can use the vertex form

to find the equation of the graph. We know that a is the coefficient, and since the graph opens upwards and is slightly stretched vertically, we know that a is 1/3. On the graph, we see that the vertex of the parabola is at (0,-1). Therefore, h is 0 and k is -1.
Our vertex form equation is

Which is D