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3 years ago

What is the equation of the directrix of the parabola given by the equation (y − 3)2 = 8(x − 5)?

1 answer:

8 0

The vertex of the parabola is at (5,3) and its focal length is 8/4 = 2.
Since it opens to the right, the directrix will be a vertical line 2 units to the left of the vertex, so its equation will be x=(5-2), or x=3

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Convert this fraction to a decimal 1/200

ohaa [14]

Answer:

0.005

Step-by-step explanation:

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1 year ago

4. A horizontal ellipse, centered at the origin has a major axis of 10 units and minor axis of 8 units. Write the

s2008m [1.1K]

Answer:

$\frac{x^2}{25} +\frac{y^2}{16} =1$

Step-by-step explanation:

For ellipses, the length of the major axis is represents as:

Major axis = $2a$

where $a$ is called the semi-major axis.

In this case since the major axis is equal to 10 units:

$10=2a$

solving for the semi-major axis $a$ :

$a=10/2\\a=5$

and also the minor axis of an ellipse is represented as:

Minor axis = $2b$

where $b$ is called the semi-minor axis.

Since the minor axis has a length of 8 units:

$8=2b$

solving for b:

$b=8/2\\b=4$

Now we can use the equation for an ellipse centered at the origin (0,0):

$\frac{x^2}{a^2} +\frac{y^2}{b^2} =1$

and substituting the values for $a$ and $b$ :

$\frac{x^2}{5^2} +\frac{y^2}{4^2} =1$

and finall we simplify the expression to get the equation of the ellipse:

$\frac{x^2}{25} +\frac{y^2}{16} =1$

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2 years ago

What is the value of X?<br> Help please!

anastassius [24]

Answer:

(11√3)/3

Step-by-step explanation:

In order to solve for the variable, you will need to use a trig function. In this case, you will need to use the trig function tangent.

Tan = opposite/adjacent

⇒ Tan 30° = x/11

⇒ 11 · Tan 30° = x

⇒ (11√3)/3 = x

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2 years ago

Answer the question correctly

KatRina [158]

Answer:

1,152 (Yes, I know it seems like a lot but it’s correct)

Step-by-step explanation:

To find this answer, we need to do 32x36

Whenever you have a problem like this, you have to multiply all your different variables/factors in which in this case is 32 and 36

When you do this, you get 1,152 so that’s your answer!

Hope this helps and please award brainliest if possible!

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2 years ago

Read 2 more answers

During science class,jimmy heated a substance and recorded the temperature of the substance over several minutes. He used the da

Elenna [48]

It’s -18 that’s the answer

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2 years ago