and mod(y-3)
Step-by-step explanation:
Step 1 :
Given the focus is at (4,0) and the directrix is y = 3. We have to find the 2 equations which relate the distance of the given focus and the given directrix to any point (x, y) on the parabola
Step 2 :
The distance between a point P(x,y) given on the parabola and the focus (4,0)
is

Step 3 :
The distance between the point P of (x,y) and the directrix line y = 3 is
mod (y-3)
So the 2 required equations are
and mod(y-3)
Hello!
We can write an expression to show this scenario. Write this in the equation format y = mx + b:
m = rate of change, or cost per ride
b = initial cost, or cost to enter the fair
y = 2.50x + 4
Solve for the amount of rides possible with $21.50:
21.50 = 2.50x + 4
Subtract 4 from both sides to isolate x:
17.50 = 2.50x
Divide both sides by 2.50:
17.50/2.50 = 7 rides.
Answer:
12b+7
Step-by-step explanation:
there's 12 of b and it increases by 7
Answer:
56 different tests
Step-by-step explanation:
Given:
Number of wires available (n) = 8
Number of wires taken at a time for testing (r) = 5
In order to find the number of different tests required for every possible pairing of five wires, we need to find the combination rather than their permutation as order of wires doesn't disturb the testing.
So, finding the combination of 5 pairs of wires from a total of 8 wires is given as:

Plug in the given values and solve. This gives,

Therefore, 56 different tests are required for every possible pairing of five wires.
Answer:
x=1/3
y=-7
Step-by-step explanation:
using the elimination method, you can add both equations vertically, to eliminate the x
-3x+y=-8
3x+2y=-13
3y=-21
y=-7
we then fix the value of y into the first equation
-3x+y=-8
-3x-7=-8
-3x=-8+7
-3x=-1
x=1/3