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Dmitry [639]
3 years ago
6

Determine whether each sequence is arithmetic or geometric. sequence 1: 32, 16, 0, –16, ... sequence 2: 32, 16, 8, 4, ...

Mathematics
1 answer:
Firdavs [7]3 years ago
6 0
S1.
32, 16, 0, -16, ...
It's an arithmetic sequence:

a_1=32;\ d=16-32=-16\\\\a_n=a_1+(n-1)d\\\\a_n=32+(n-1)\cdot(-16)=32-16n+16=48-16n

S2.
32, 16, 8, 4, ...
It's a geometric sequence:

a_1=32;\ r=16:32=\dfrac{1}{2}\\\\a_n=a_1r^{n-1}\\\\a_n=32\cdot\left(\dfrac{1}{2}\right)^{n-1}

Answer: <span>sequence 1 is arithmetic and sequence 2 is geometric.</span>


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Write the quadratic equation in general form and then choose the value of "b."
eduard
The answer is b. 11. 

You can find this by multiplying the two parenthesis together. In order to do this, you can use a multiplying process known as FOIL (First, Outer, Inner, Last), where you multiply parts of the parenthesis in this order to make sure you do so properly. 

First Numbers:
2x * x = 2x^2

Outer Numbers: 
2x * 6 = 12x

Inner Numbers: 
-1 * x = -1x

Last Numbers: 
-1*6 = -6

Now place them all in that order and simplify. 
2x^2 + 12x - x - 6 ---> simplify x terms
2x^2 + 11x - 6

Since the middle term (the one with the x value) has a coefficient of 11, that gives us a b value of 11. 
3 0
3 years ago
The area of a triangular block is 81 square inches. If the base of the triangle is twice the height, how long are the base and t
Gre4nikov [31]

Answer:

18 inches and 9 inches

Step-by-step explanation:

Given, The base of a triangle is twice of the height.

Area = 81 sq inches

Let, Base (b) = 2x

Height (h) = x

Area of the triangle = \frac{1}{2}bh

\frac{1}{2}bh = 81

or, x^{2} = 8

Base = 2×9 inches = 18 inches

Height = 9 inches

5 0
2 years ago
The point A(5.
NeX [460]

The point (6, 6) is the mid-point of A and B. Then the coordinate of the point B is (7, 5).

<h3>What is coordinate geometry?</h3>

Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.

Point A (5, 7) is reflected over the point (6, 6) and its image is point B. Then the point (6, 6) is the mid-point of the A and B. Then the coordinate of the point B will be

\rm (x_2 , y_2) = (2x -x _1, 2y - y_1)\\\\(x_2 , y_2) = (2 \times 6 - 5, 2 \times 6- 7)\\\\(x_2 , y_2) = (12-5,12-7)\\\\(x_2 , y_2) = (7, 5)

More about the coordinate geometry link is given below.

brainly.com/question/1601567

#SPJ1

5 0
1 year ago
HELP ME PLEASEE faiuurhdkdgkgd
inysia [295]

Answer:

Option b is the right answer.

5 0
3 years ago
determine os valores de x e y sabendo que os numeros x,6 e 27 sao diramente proporcionais aos numeros 2, y e 18 nessa ordem
bazaltina [42]

Answer:

x=3 e y=4

Step-by-step explanation:

x/2=6/y=27/18

...

x/2=27/18

18.x=2.(27)

18x=54

x=54/18

x= 3

...

6/y=27/18

27y=6.(18)

27y=108

y=108/27

y=4

3 0
3 years ago
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