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sattari [20]
2 years ago
12

Show that the numbers below are rational and write each as a fraction:

Mathematics
1 answer:
ikadub [295]2 years ago
4 0

Answer:

a) The number is:

0.73652913

There are 8 digits after the decimal point, then we need to multiply and divide by: 100,000,000 (8 zeros at the right of the 1)

0.73652913 =  0.73652913*(100,000,000)/(100,000,000) = 73,652,913/100,000,000

So we wrote this as a fraction of two integers.

b) The number is:

0.746746...

Where the periodic part is 746.

the periodic part has 3 digits, then we can do:

0.746746...*1000 = 746.746746....

Now we can subtract the number itself to get:

746.746746... - 0.746746... = 746

And what we did is:

N*1000 - N = N*999

Then to transform the number into a quotient of integers, we can multiply and divide by 999.

0.746746... = 0.746746...*(999)/(999) = 746/999

That is a quotient of two integers, so 0.746746... is a rational number.

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adoni [48]

answer:

(a).

Equation of circle is <u>x²</u><u> </u><u>+</u><u> </u><u>y²</u><u> </u><u>-</u><u> </u><u>2</u><u>5</u><u> </u><u>=</u><u> </u><u>0</u>

(b).

(-5, 0) » yes

(√7, 1) » no

(-3, √21) » no

(0, 7) » no

Step-by-step explanation:

(a).

If centred at origin, centre is (0, 0)

General equation of circle:

{ \boxed{ \bf{ {x}^{2} +  {y}^{2} + 2gx + 2fy   + c = 0}}}

but g and f are 0:

{x}^{2}  +  {y}^{2}   + c = 0 \\ but :  \\ c =  {g}^{2} +  {f}^{2}  -  {r}^{2}  \\ c =  { - 25}

8 0
3 years ago
Help me please and thnk you
madreJ [45]
C is the answer I took a similar test
3 0
3 years ago
How do I use the subtraction theorem to write equivalent expressions?
Andreas93 [3]
The subtraction theorem states that for all real numbers, a and b, a-b=a+(-b).
(To subtract, we can add the inverse.)
Thus, we can have the these two equivalent expressions.

3 - 2 = 3 + (-2) = 1\\ \\ 5 - (-2) = 5 + 2 = 7


3 0
3 years ago
Chris’s new car gets 42 miles per gallon. What is the equation that represents y, the total miles driven on x gallons of gas?
Fantom [35]

Answer: I think the answer is B

Step-By-Step Explination:

First you find out what x is by doing 42 multiplying it by 0.1 witch equals 4.2 gallons per mile

Next you figure out what y is by doing 4.2y (witch is 4.2 times y)

4 0
3 years ago
Two cells are viewed and measured under a microscope. The approximate diameter
nikklg [1K]

Answer:

option D. 4.7 x 10-4 m

Step-by-step explanation:

<u><em>The correct question is</em></u>

• cell P: 5.0 x 10-4 meters

• cell Q: 3.0 x 10-5 meters

we have            

The diameter of cell P is  5*10^{-4}\ m

The diameter of cell Q is  3*10^{-5}\ m

Rewrite the diameter of cell P as    

5*10^{-4}\ m=5*10^{-4}(\frac{10}{10})=50*10^{-5}\ m

Find the difference

50*10^{-5}\ m-3*10^{-5}\ m=47*10^{-5}\ m

Rewrite the difference as

47*10^{-5}\ m=47*10^{-5}}(\frac{10}{10})=4.7*10^{-4}\ m

7 0
3 years ago
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