Answer:
The equation for a parabola with vertex at the origin and a directrix at x = 1/48 is 
.
Step-by-step explanation:
As directrix is a vertical line, the parabola must "horizontal" and increasing in the -x direction. Then, the standard equation for such geometric construction centered at (h, k) is:
Where:
, 
- Horizontal and vertical components of the location of vertex with respect to origin, dimensionless.
- Least distance of directrix with respect to vertex, dimensionless.
Since vertex is located at the origin and horizontal coordinate of the directrix, least distance of directrix is positive. That is:
Now, the equation for a parabola with vertex at the origin and a directrix at x = 1/48 is .
Answer:
-x + y = 0 or x - y = 0
Step-by-step explanation:
The line passes through points (0, 0) and (4,4), then its slope is:
m = (4 - 0)/(4 - 0) = 1
Given that the line passes through (0, 0), its y-intercept is
b = 0
Using slope and y-intercept form:
y = mx + b
y = x
The standard form of a line is:
Ax + By = C
So, we have to put all variables on the left side, as follows:
-x + y = 0
Multiplying by (-1) at both sides:
x - y = 0
5cups \= 4 cups
5 represents the amount of food held in the stomach and 4 represents the amount of food that can be held in the stomach
thats 6859, there is nothing wrong with it
Answer:
8 + 1.50x + 0.75y = 19.25
Step-by-step explanation:
Let the number of additional inch = x
Let the number of toppings = y
From the question,
A 10-inch cheese pizza costs $8.
Each additional inch costs $1.50
Each additional topping costs $0.75.
The equation that represents Josh's pizza is when his total cost amounts to $19.25 is:
$8 + $1.50 × x + $0.75y = $19.25
8 + 1.50x + 0.75y = 19.25
