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Likurg_2 [28]
3 years ago
12

If R = { (x, y) is an element of N, x is an element of N, y is an element of N / x-y is divisible by 5 } then show that R is an

equivalence relation
Mathematics
1 answer:
ruslelena [56]3 years ago
8 0
5 is the awnser fs because it matches
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What is -0.66666666666 as a fraction
Elena L [17]

Answer:

-2/3

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2 years ago
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What is the slope of this equation? y=8-x
Lostsunrise [7]

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y = 8 - x

y =  - x + 8

y =  - 1x + 8

Slope = coefficient \:  \:  of \:  \:  x

Thus :

Slope = - 1

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5 0
3 years ago
A rectangular dog pen is constructed using a barn wall as one side and 60 meters of fencing for the other three sides. What is t
irinina [24]

Answer:

450 m²

Step-by-step explanation:

Let x = length of rectangle and y = width of the rectangle.

Therefore,

2x + y = 60...............(1)

Making y subject of the formula, we have:

y = 60 - 2x............... (2)

We know area of a rectangle is length * width i.e A = x*y

Let's substitute (60-2x) for y,

A = x * (60-2x)

= 60x - 2(x)²

= -2x² + 60x

\frac{dA}{dx} = -2x^2 + 60x =

-4x + 60 = 0

-4x = -60

x = \frac{-60}{-4} = 15

Let's substitute 15 for x in equation 2, we have:

y = 60 - 2(15)

= 60 - 30

y = 30

Since x = 15 & y = 30, the area would be:

A = xy

A = 15 * 30

A = 450 m²

The maximum area of the dog pen is 450m²

8 0
3 years ago
Finding angles June 23.2020
finlep [7]

Answer:

angle B is 38 degree

Step-by-step explanation:

In triangle ADC,

finding angle C

angle A + angle C = 110 degree (sum of two interior opposite angles are equal to the exterior angle formed)

46 + angle C = 110

angle C = 110 - 46

angle C = 64 degree

In triangle ABC

finding angle B

angle A + angle B + angle C = 180 degree (sum of interior angles of a triangle)

78 + angle B + 64 = 180

142 + angle B = 180

angle B = 180 - 142

angle B = 38 degree

3 0
3 years ago
Which one is larger and why 12 x 3/7 or 6 x 3/7
Serggg [28]

Answer:12 x 3/7 is larger than 6 x 3/7.

12x3/7=36/7 while 6x3/7=18/7 since both fractions 36/7 and 18/7 have the same denominators, to know which is larger we just check the numerator,the fraction with the largest numerator is largest which is 36/7

Step-by-step explanation:

12x3/7=(12x3)/7=36/7

6x3/7=(6x3)/7=18/7

36/7 is larger than 18/7

6 0
3 years ago
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