The equation of y= kx and how k=y/x

How can u tell Whether 1080 is cube number

dolphi86 [110]

TSplit into prime factors

1080 = 2*2*2*3*3*3*5

Its not a cube because although there are 2 triplicates there is also a 5.

Note 2*2*2*3*3*3 is a cube.

3 0

4 years ago

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WILL GIVE BRAINLIEST!!!!!!!!!!

navik [9.2K]

Answer:

Here, Exterior angles are ∠1, ∠2, ∠7 and ∠8

Interior angles are ∠3, ∠4, ∠5 and ∠6

Corresponding angles are ∠

(i) ∠1 and ∠5

(ii) ∠2 and ∠6

(iii) ∠4 and ∠8

(iv) ∠3 and ∠7

Axiom 4 If a transversal intersects two lines such that a pair of corresponding angles is equal, then the two lines are parallel to each other.

Thus, (i) ∠1 = ∠5, (ii) ∠2 = ∠6, (iii) ∠4 = ∠8 and (iv) ∠3 = ∠7

Alternate Interior Angles: (i) ∠4 and ∠6 and (ii) ∠3 and ∠5

Alternate Exterior Angles: (i) ∠1 and ∠7 and (ii) ∠2 and ∠8

If a transversal intersects two parallel lines then each pair of alternate interior and exterior angles are equal.

Alternate Interior Angles: (i) ∠4 = ∠6 and (ii) ∠3 = ∠5

Alternate Exterior Angles: (i) ∠1 = ∠7 and (ii) ∠2 = ∠8

Interior angles on the same side of the transversal line are called the consecutive interior angles or allied angles or co-interior angles. They are as follows: (i) ∠4 and ∠5, and (ii) ∠3 and ∠6

5 0

3 years ago

F(x)=2x+3 and g(x)=4x-2. Find f(x) x g(x). Find f(x) - g(x).

const2013 [10]

Answer:

f(x) * g(x) is 8x^2 + 8x -6

f(x) - g(x) is -2x + 5

Step-by-step explanation:

When finding the answer, we can notice they already give the values for the needed answers.

The first one requires f(x) and g(x). At the beginning of the question it shows that f(x) is equal to 2x+3. Meaning we can plug in 2x+3 for f(x).

The same goes for g(x). At the begginning of the question, it shows that g(x) is equal to 4x-2. Meaning we can plug in 4x-2 for g(x).

f(x) * g(x)

(2x+3) * (4x-2)

To find the answer, we need to distibute the 2x+3 into 4x-2.

To distribute, we do :

2x * (4x-2) + 3 * (4x-2)

First we distribute the 2x

2x * 4x = 8x^2 and 2x * -2 = -4x

8x^2 - 4x

Next we distibute the 3

3 * 4x = 12x and 3 * -2 = -6

12x - 6

Now we can combine them by adding like terms to get the asnwer:

8x^2 = 8x^2

-4x + 12x = 8x

-6 = -6

The first answer is 8x^2 + 8x -6

Second question:

Since we already know the values for f(x) and g(x), all we have to do is plug in the values.

(2x+3) - (4x-2)

This time, since we are subtracting, all we have to do is subtract like terms.

2x - 4x = -2x

3 - (-2) = 5

The second answer is -2x + 5

3 0

2 years ago

The sum of the ages of Arturo, Benny, and Carlos is 41 years. Twice Arturo's age exceeds the sum of Benny and Carlos's ages by o

shepuryov [24]

Answer: Arturo is 14 years

Benny is 17 years

Carlos is 10 years

Step-by-step explanation:

Let x represent the age of Arturo.

Let y represent the age of Benny.

Let z represent the age of Carlos.

The sum of the ages of Arturo, Benny, and Carlos is 41 years. It means that

x + y + z = 41- - - - - - - - - - - - -1

Twice Arturo's age exceeds the sum of Benny and Carlos's ages by one year. It means that

2x = y + z + 1- - - - - - - - - 2

Five years ago, Benny was 2 years more than twice as old as Carlos. It means that

y - 5 = 2(z - 5) + 2

y - 5 = 2z - 10 + 2

y = 2z - 8 + 5

y = 2z - 3

Substituting y = 2z - 3 into equation 2, it becomes

2x = 2z - 3 + z + 1

2x = 2z + z - 3 + 1

2x = 3z - 2

x = 3z/2 - 1

Substituting y = 2z - 3 and

x = 3z/2 - 1 into equation 1, it becomes

3z/2 - 1 + 2z - 3 + z = 41

Multiplying through by 2, it becomes

3z - 2 + 4z - 6 + 2z = 82

3z + 4z + 2z - 2 - 6 = 82

9z - 8 = 82

9z = 82 + 8 = 90

z = 90/9

z = 10

x = 3z/2 - 1 = (3 × 10)/2 - 1

x = 14

y = 2z - 3 = 2 × 10 - 3

y = 17

6 0

4 years ago

The area of a rectangular piece of paper is 45 square inches. the perimeter is 28 inches. What are the dimensions of the paper?

Sophie [7]

5 and 9, because 5X9= 45, and 5+5+9+9= 28

6 0

4 years ago

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