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GaryK [48]
3 years ago
10

PLZ HELP DONT get wrong have 10 min HELP

Mathematics
1 answer:
MAVERICK [17]3 years ago
4 0

Answer:

5.5 7

Step-by-step explanation:

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Find the equation for the parabola that has its vertex at the origin and has directrix at x=1/48
Oksana_A [137]

Answer:

The equation for a parabola with vertex at the origin and a directrix at x = 1/48 is x= \frac{1}{12}\cdot y^{2}.

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:

x - h = 4\cdot p \cdot (y-k)^{2}

Where:

h, k - Horizontal and vertical components of the location of vertex with respect to origin, dimensionless.

p - 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:

p = x_{D} - x_{V}

p = \frac{1}{48}-0

p = \frac{1}{48}

Now, the equation for a parabola with vertex at the origin and a directrix at x = 1/48 is x= \frac{1}{12}\cdot y^{2}.

6 0
3 years ago
A coordinate plane with a line passing through (negative 4, negative 4), (0, 0) and (4, 4).
Kisachek [45]

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

5 0
3 years ago
Read 2 more answers
A typical human stomach can hold up to 4 cups of food. Write an inequality to represent how many cups of food a stomach can hold
Ede4ka [16]
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
7 0
3 years ago
6,859 in standard form
sasho [114]

thats 6859, there is nothing wrong with it

3 0
3 years ago
A pizza shop sells pizzas that are 10 inches (in diameter) or larger. A 10-inch cheese pizza costs $8. Each additional inch cost
zaharov [31]

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

7 0
3 years ago
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