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kari74 [83]
3 years ago
8

What is the fraction in decimal form? 13/20 Enter your answer in the box.

Mathematics
2 answers:
ZanzabumX [31]3 years ago
6 0

Answer:

0.65

Step-by-step explanation:

13 divided by 20 equals 0.65.

zubka84 [21]3 years ago
5 0

Decimal representation of fraction \bold{\frac{13}{20}} is 0.65.

<u>Solution:</u>

Need to represent following fraction in decimal form \rightarrow\frac{13}{20}

Simplest way is check whether you can represent denominator as multiple of 10.  In our case denominator is 20 and if we multiply 20 by 5 we get 100.

So now obtaining equivalent fraction of \frac{13}{20} by multiplying numerator and denominator by 20.

\frac{13}{20}=\frac{13 \times 5}{20 \times 5}=\frac{65}{100}=0.65

You can also use division method to get decimal form of \frac{13}{20}

Hence, decimal representation of fraction \frac{13}{20} is 0.65.

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Derive the equation of the parabola with a focus at (−5, 5) and a directrix of y = −1.
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Answer:

The equation of the parabola with a focus at (-5,5) and a directrix of y = -1 is y = \frac{1}{12}\cdot (x+5)^{2}+2.

Step-by-step explanation:

From statement we understand that parabola has its axis of symmetry in an axis parallel to y-axis. According to Analytical Geometry, the minimum distance between focus and directrix equals to twice the distance between vertex and any of endpoints.

If endpoints are (-5, 5) and (-5, -1), respectively, then such distance (r), dimensionless, is calculated by means of the Pythagorean Theorem:

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V(x,y) = F(x,y)-R(x,y) (1)

Where:

F(x,y) - Focus, dimensionless.

R(x,y) - Vector distance, dimensionless.

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h, k - Coordinates of the vertex, dimensionless.

r - Distance of the focus with respect to vertex, dimensionless.

If we know that h = -5, k = 2 and r = 3, then the equation of the parabola is:

y = \frac{1}{12}\cdot (x+5)^{2}+2

The equation of the parabola with a focus at (-5,5) and a directrix of y = -1 is y = \frac{1}{12}\cdot (x+5)^{2}+2.

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