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Leya [2.2K]
2 years ago
13

The first rule is add 2 starting from 0. The second rule is add 6 starting from 2. What is the third ordered pair using the term

s in each sequence?
(6, 20)
(2, 8)
(8, 26)
(4, 14)
Mathematics
2 answers:
andrew11 [14]2 years ago
6 0
My guess would be either 2,8 or 4,14
Reptile [31]2 years ago
5 0

Answer:

I think it would be 2,8

Step-by-step explanation:

hope it helps u

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Special right triangle desmo
otez555 [7]

9514 1404 393

Answer:

  x = 15√3

  y = 30

Step-by-step explanation:

In a 30°-60°-90° "special" triangle, the ratios of side lengths are ...

  1 : √3 : 2

Your diagram shows the short side is 15, so the other sides can be found by multiplying the above ratio numbers by 15.

  1 : √3 : 2 = 15 : x : y = 15 : 15√3 : 30

  x = 15√3

  y = 30

3 0
3 years ago
The surface area for a rectangular prism with a square base is SA=2s2+4sh. What is the surface area if s=3 and h=5?
Zigmanuir [339]

Answer:

The surface area is 78 unit square.

Step-by-step explanation:

Given : The surface area for a rectangular prism with a square base is SA=2s^2+4sh.

To find : What is the surface area if s=3 and h=5?

Solution :

The surface area for a rectangular prism with a square base is SA=2s^2+4sh

Substitute, s=3 and h=5

SA=2(3)^2+4(3)(5)

SA=2\times 9+4\times 15

SA=18+60

SA=78

Therefore, The surface area is 78 unit square.

7 0
3 years ago
Find an equation of the plane with the given characteristics. The plane passes through the points (4, 3, 1) and (4, 1, -7) and i
Minchanka [31]

Answer:

3x - 4y + z = 1

Step-by-step explanation:

Given

Point\ 1 = (4,3,1)

Point\ 2 = (4,1,-7)

Perpendicular to 8x + 7y + 4z = 18

Required

Determine the plane equation

The general equation of a plane is:

a(x-x_1) + b(y - y_1) + c(z-z_1) = 0

For n =

(x_1,y_1,z_1) = (4,3,1)

(x_2,y_2,z_2) = (4,1,-7)

First, we need to determine parallel vector V_1

V_1 =

V_1 =

V_1 =

V_1 is parallel to the required plane

From the question, the required plane is perpendicular to 8x + 7y + 4z = 18

Next, we determine vector V_2

V_2 =

This implies that the required plane is parallel to V_2

Hence: V_1 and V_2 are parallel.

So, we can calculate the cross product V_1 * V_2

V_1 =

V_2 =

n = V_1 * V_2

V_1 * V_2 =\left[\begin{array}{ccc}i&j&k\\0&2&8\\8&7&4\end{array}\right]

The product is always of the form + - +

So:

V_1 * V_2 = i\left[\begin{array}{cc}2&8\\7&4\end{array}\right]  -j\left[\begin{array}{cc}0&8\\8&4\end{array}\right] +k\left[\begin{array}{cc}0&2\\8&7\end{array}\right]

Calculate the product

V_1 * V_2 = i(2*4- 8*7) - j(0*4- 8*8) + k(0*7 - 2 * 8)

V_1 * V_2 = i(8- 56) - j(0- 64) + k(0 - 16)

V_1 * V_2 = i(-48) - j(- 64) + k(- 16)

V_1 * V_2 = -48i +64j - 16k

So, the resulting vector, n is:

n =

Recall that:

n =

By comparison:

a = -48   b = 64   c = -16

Substitute these values in a(x-x_1) + b(y - y_1) + c(z-z_1) = 0

-48(x-x_1) + 64(y - y_1) -16(z-z_1) =0

Recall that:(x_1,y_1,z_1) = (4,3,1)

So, we have:

-48(x-4) + 64(y - 3) -16(z-1) =0

-48x + 192 + 64y -192 - 16z +16 = 0

Collect Like Terms

-48x + 64y - 16z = 0 - 192 + 192 - 16

-48x + 64y - 16z = -16

Divide through by -16

3x - 4y + z = 1

<em>Hence, the equation of the plane is</em>3x - 4y + z = 1<em></em>

4 0
3 years ago
Tins eats 8 crackers for a snack each day at school.on Friday,she drops 3 and only eats 5. multy​
Pie

Answer:

If she only ate 5 she'll need to get 3 more to keep up her streak of eating 8 cracker.

Step-by-step explanation:

8-3=5 is an equation you'd use.

6 0
4 years ago
Read 2 more answers
The cost of 6 CDs are $12, $13, $20, $20, $12.50 and $18.50. What is the <br> mean
Komok [63]
The mean is 16 :))) yw
6 0
3 years ago
Read 2 more answers
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