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Citrus2011 [14]
3 years ago
12

If 36% of a number is 325, what is 15% of the number?

Mathematics
1 answer:
MA_775_DIABLO [31]3 years ago
8 0

Answer:

135.4166

Step-by-step explanation:

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Rewrite as y−k=a(x−h)2 or x−h=a(y−k)2. Find the vertex, focus, and directrix.<br> y−3=(2−x)^2
Talja [164]

Given:

The given equation is

y-3=(2-x)^2

To find:

The vertex, focus, and directrix.

Solution:

The equation of a parabola is

y-k=a(x-h)^2     ...(i)

where, (h,k) is vertex, \left(h,k+\dfrac{1}{4a}\right) and directrix is y=k-\dfrac{1}{4a}

We have,

y-3=(2-x)^2

It can be written as

y-3=(-(x-2))^2

y-3=(x-2)^2    ...(ii)

On comparing (i) and (ii), we get

h=2,k=3,a=1

Vertex of the parabola is (2,3).

Focus=\left(2,3+\dfrac{1}{4(1)}\right)

Focus=\left(2,3+\dfrac{1}{4}\right)

Focus=\left(2,\dfrac{13}{4}\right)

Therefore, the focus of the parabola is \left(2,\dfrac{13}{4}\right).

Directrix of the parabola is

y=3-\dfrac{1}{4(1)}

y=3-\dfrac{1}{4}

y=\dfrac{11}{4}

Therefore, the directrix of the parabola is y=\dfrac{11}{4}.

4 0
3 years ago
How many circles have a center of (4,7)?
nikklg [1K]
Any circle that can given by

(x-4)^{2}+(y-7)^{2}=r^{2}

have a center of (4,\;7).


You can choose any positive value for the radius r. Hence, there are infinity circles.

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4 years ago
Hay there can anybody answer this
Alexus [3.1K]

Answer:

  x = 12

Step-by-step explanation:

The two marked angles where the transversal crosses the parallel lines are alternate interior angles, so are congruent. This fact gives you the relation you need to solve for x.

  4x +12 = 60

  4x = 48 . . . . . . subtract 12

  x = 12 . . . . . divide by 4

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2 years ago
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MrRa [10]

Answer:

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Step-by-step explanation:

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3 years ago
Helpp Its for calculus
Troyanec [42]

Answer:

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Step-by-step explanation:

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