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2 years ago

Use to model the problem draw the block to show your work

Mathematics

1 answer:

natulia [17]2 years ago

3 0

First of all be more spusific in your question

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Using the given information, give the vertex form equation of each parabola.

Amanda [17]

Answer:

The equation of parabola is given by : $(x-4) = \frac{-1}{3}(y+3)^{2}$

Step-by-step explanation:

Given that vertex and focus of parabola are

Vertex: (4,-3)

Focus:( $\frac{47}{12}$ ,-3)

The general equation of parabola is given by.

$(x-h)^{2} = 4p(y-k)$ , When x-componet of focus and Vertex is same

$(x-h) = 4p(y-k)^{2}$ , When y-componet of focus and Vertex is same

where Vertex: (h,k)

and p is distance between vertex and focus

The distance between two points is given by :

L= $\sqrt{(X2-X1)^{2}+(Y2-Y1)^{2}}$

For value of p:

p= $\sqrt{(X2-X1)^{2}+(Y2-Y1)^{2}}$

p= $\sqrt{(4-\frac{47}{12})^{2}+((-3)-(-3))^{2}}$

p= $\sqrt{(\frac{1}{12})^{2}}$

p= $\frac{1}{12}$ and p= $\frac{-1}{12}$

Since, Focus is left side of the vertex,

p= $\frac{-1}{12}$ is required value

Replacing value in general equation of parabola,

Vertex: (h,k)=(4,-3)

p= $\frac{-1}{12}$

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

$(x-4) = 4(\frac{-1}{12})(y+3)^{2}$

$(x-4) = \frac{-1}{3}(y+3)^{2}$

8 0

3 years ago

HELP ME PLEASE!! Word problem, what's wrong? explain.

dmitriy555 [2]

Answer:

She made a mistake in Step 7.

Step-by-step explanation:

Step 1 through 6 are correct. Only from Step 6 to Step 7 the problem comes in: both sides of the equation are multiplied by x, however the x on the left side, by error, becomes 1. The correct state in Step 7 should look like this:

$x(\frac{1}{2}P-x)=256$

8 0

3 years ago

Where is the point of discontinuity of y =<br> -4x+81/x-2<br> ?

Genrish500 [490]

Answer:

x = 2

Step-by-step explanation:

y = $\frac{-4x+81}{x-2}$

If the denominator is equal to zero , then y is undefined.

this discontinuity can be found by equating the denominator to zero and solving for x.

x - 2 = 0 ⇒ x = 2 is the point of discontinuity

4 0

2 years ago

A scale drawing of a rectangular park measures 7.5 inches long and 4 inches wide. if the scale used for the drawing is 2.5 inche

klasskru [66]

Answer:

45 yards by 24 yards

Step-by-step explanation:

You would have to first find out how many 2.5 increments are in each of the two lengths. Then multiply that number by 15

6 0

2 years ago

Hi please help fast.!

katovenus [111]

Answer:

sorry I'm not that good with math sorry if I waisted your time ^_^

4 0

2 years ago