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2 years ago

Define the type of sequence below. -2, 0, 2, 4, 6,

Mathematics

2 answers:

OlgaM077 [116]2 years ago

4 0

This is an arethmetic sequence

For each new value in the sequence, 2 is being added to the previous term.

-E :)

mihalych1998 [28]2 years ago

3 0

Answer:

Arithmetic sequence.

Step-by-step explanation:

We have been given a sequence : -2, 0, 2, 4, 6. We are asked to define the type of our given sequence.

We can see from our given sequence that each next term is 2 more than the previous term of the sequence.

$0--2=0+2=2$

$2-0=2$

$6-4=2$

Since the difference between the consecutive terms is constant and each next term is produced by adding 2 to preceding term, therefore, our given sequence is an arithmetic sequence.

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levacccp [35]

Answer:

Step-by-step explanation:

Use the distance formula.

$d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

We have x1 = 2; y1 = 0; x2 = -6; y2 = 6.

$d = \sqrt{(-6 - 2)^2 + (6 - 0)^2}$

$d = \sqrt{(-8)^2 + 6^2}$

$d = \sqrt{64 + 36}$

$d = \sqrt{100}$

$d = 10$

Answer: 10

8 0

2 years ago

We are going to fence in a rectangular field. If we look at the field from above the cost of the vertical sides are $10/f t, the

Brut [27]

Answer:

Dimensions are 350/9 ft and 17.5 ft

Step-by-step explanation:

We are given the cost per ft of all the 4 sides. Let the horizontal be x and the vertical be y.

Now, we will set up the constraint and equation that we are being asked to maximize.

Thus;

700 = 10y + 10y + 7x + 2x

700 = 20y + 9x

Maiking y the subject, we have;

y = (700 - 9x)/20

y = 35 - 9x/20

Now,area of a rectangle is: A = xy

Thus, A = x(35 - 9x/20))

A = 35x - 9x²/20

We can get the critical points by finding the derivatives and Equating to zero

Thus;

dA/dx = 35 - 0.9x

At dA/dx = 0,we have; x = 350/9

At d²A/dx², we have;

d²A/dx² = -0.9

This is negative, thus we will disregard and use the one gotten from the first derivative.

Thus, we will use x = 350/9 ft

Plugging this into the equation y = 35 - 9x/20, we have;

y = 35 - ((9 × 350/9)/20)

y = 17.5 ft

7 0

3 years ago

Please solve the worksheet. (factoring trinomials)

Vesnalui [34]

Answer:

1. (x+3)(x+1)

2. (m+4)(m+8)

3. (r-2)(r-1)

4. (x-5)(x-1)

5. (x-7)(x-3)

6. (x-11)(x-11)

7. (t-6)(t+2)

8. (p-8)(p-8)

9. (x-1)(x-9)

10. (x+5)(x+1)

11. (a+9)(a-1)

12. (y-8)(y+1)

13. (x-3)(x+1)

14. (y+13)(y+1)

15. (m+5)(m+4)

16. (x+10)(x+2)

17. (a-12)(a-2)

18. (y+9)(y+2)

19. xy(x+2+y) i think

20. ab(a-4+4b)

21. xy(x+6-7y)

5 0

2 years ago

The are of the shape is __ square centimeter

tensa zangetsu [6.8K]

Answer:

35 cm

Step-by-step explanation:

To find the area of the bottom portion, you would use the formula for finding out a triangle (B*H*1/2) which is:

(4+4)*5.75*1/2=23

Then, for the top portion, one would find the area of the triangles on the sides (with two marks going through). Since along the middle is 8cm, and along the top is 4, we can see that there is 2cm on either side, so that is the length of the base of the triangle. To solve for the top triangles, you would do almost the same thing as the last one:

2*2*1/2=2

But since there's two identical triangles on either side, we can multiply that by two, which would bring it to 4.

That just leaves the rectangle that is left between the two triangles. To solve this, it's just B*H and luckily both of those are labeled for you already:

4*2=8

Now, to find the total area, all you have to do is add up the areas of the different sections:

23+4+8=35 cm

Hope this helps!

4 0

2 years ago

Please help me asap

dimaraw [331]

Okay so basically 1 + 5 = 180
and if we know 1 = 124 we can assume 5 = 56
and 5 = 4 SOOOO
4 = 56

4 0

2 years ago