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3 years ago

Write a function to represent the set of ordered pairs.

Mathematics

1 answer:

Korvikt [17]3 years ago

7 0

Answer:

[(8.-3),(3.8),(9,4),(-2,2)}

Step-by-step explanation:

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What is the sum of 3/x + 4/x2

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Step-by-step explanation:

3/x+4/x^2

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A) Find the value of 2x + y when x = 4 and y = 3

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100m In 9 3/5 seconds

Nostrana [21]

Answer:

Speed = 10.42 m/secs

Step-by-step explanation:

We have been given with:-

Distance = 100m

Time taken = 9 $\frac{3}{5}$ secs

1) First, we need to convert the mixed number 9 $\frac{3}{5}$ to an improper fraction.

<u>Method to convert a mixed number to an improper fraction</u>

<u> $a\frac{b}{c} = \frac{c*a+b}{c}$ </u>

Applying the above formula, we get

9 $\frac{3}{5}$ = $\frac{5*9+3}{5}$

= $\frac{45+3}{5}$

= $\frac{48}{5}$

2) Now we need to convert $\frac{48}{5}$ into a decimal by dividing 48 by 5.

We get time taken as 9.6 secs

3) We need to find the speed using the below formula:-

Speed = $\frac{Distance}{Time taken}$

Plugging the values of Distance and Time taken into the formula, we get

Speed = $\frac{100}{9.6}$

= 10.416 m/secs

4) Upon rounding it to the nearest hundredth, we get

Speed = 10.42 m/secs

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3 years ago

What is the equation of the line that is parallel to the line 5x + 2y = 12 and passes through the point (-2, 4)?

Zepler [3.9K]

First let’s put 5x+2y = 12 into slope-intercept form.

2y = -5x + 12

y = (-5/2)x + 6

So any line that is parallel to y = (-5/2)x + 6 must have a slope of -5/2.

Our answer then is y = (-5/2)x + c

Now all that remains is to find out the value of c.

We know this line passes through the point (-2,4). Which means when x = -2, y = 4.

4 = (-5/2)(-2) + c

4 = 5+c

c = -1

Hence the line you want is y = (-5/2)x - 1

Since the question gave the line in standard form and didn’t ask for any particular form, let’s give the answer in the same form that the question asked.

2y = -5x - 2

5x + 2y = -2

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3 years ago