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GarryVolchara [31]
3 years ago
14

Convert the decimal below to a fraction in simplest form.0.645

Mathematics
2 answers:
Julli [10]3 years ago
5 0

Answer:

129/200

Step-by-step explanation:

Naya [18.7K]3 years ago
3 0

Step-by-step explanation:

Not in simpilest form: 645/1000

form 2 (final form): 129/200

All  you do is convert the decimal to its fraction and then divide it by the easiest number, which was 5 in this case.

Cheers!

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Find an equation of the parabola with focus (2, −3) and directrix y = 1.
Likurg_2 [28]

Answer:

Step-by-step explanation:

The correct option is option (C).

The required equation of the parabola is

Step-by-step explanation:

Formula:

The distance of a point (x₁,y₁) from a line ax+by+c=0 is

.

The distance between two points (x₁,y₁) and (x₂,y₂) is

Given that, the focus of the parabola is (2,3) and directrix y= - 1.

We know that, a parabola is the locus of points that equidistant from the directrix and the focus.

Let any point on the parabola be  P(x,y)  .

The distance of P from the directrix is

           

=y+1

The distance of the point P from the focus (2,3) is

According to the problem,

 

The required equation of the parabola is

5 0
3 years ago
InDJKL side JK measures 10.6 inches side KL measures 7 inches inside JL measures 5 inches based on the information that is provi
RSB [31]

Answer: Angle J = 33.5°, angle K = 23.2°, angle L = 123.2°

Step-by-step explanation: i did the quiz and got it correct :D

4 0
3 years ago
Which equation represents the sentence? the sum of 10 and a number is 3 times the number.
uranmaximum [27]

Answer:

If a neutral object loses 1.5x106 electrons, then what will be its charge? ... Felect = (9x109 N/m2/C2)•(4.65 x 10-6 C)•(7.28 x 10-6 C)/(0.658 m)2 = 0.704 N.

Step-by-step explanation:

5 0
2 years ago
Solve the equation for y.<br><br> 4x – 5y = 9
Brums [2.3K]
4 x - 5 y = 9
- 5 y = - 4 x + 9  / · ( - 1 )
5 y = 4 x - 9  /  : 5
y = \frac{4x-9}{5}

7 0
4 years ago
What is 2Log5(5x^3)+1/3log5(x^2+6 written as a single logarithm?
AveGali [126]

An important rule of logs is a*log b = log b^a.

Thus, 2 (log to the base 5 of )(5x^3) = (log to the base 5 of ) (5x^3)^2, or

(log to the base 5 of ) (25x^6).

Next, (1/3) (log to the base 5 of ) (x^2+6) = (log to the base 5 of ) (x^2+6)^(1/3).

Here, the addition in the middle of the given expression indicates multiplication:

2Log5(5x^3)+1/3log5(x^2+6) = (log to the base 5 of ) { (5x^3)^2 * (x^2+6)^(1/3) }.

Here we've expressed the given log quantity as a single log.

5 0
4 years ago
Read 2 more answers
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