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SVEN [57.7K]
3 years ago
11

What is the common difference in the arithmetic sequence 10, 8, 6, 4, ...? 20pts

Mathematics
2 answers:
blagie [28]3 years ago
6 0

Answer:common difference is -2

Step-by-step explanation:

The sequence is arithmetic if the difference between consecutive terms is constant.

Dmitriy789 [7]3 years ago
3 0

Answer:common difference is -2

Step-by-step explanation:

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Show that (x+y)² − (x −y)² = 4xy for all real numbers x and y.
nata0808 [166]

To show: (x+y)² − (x −y)² = 4xy

Using difference of square identity:

a^2-b^2=(a-b)(a+b)

Taking left side

\Rightarrow (x+y)^2-(x-y)^2

a\rightarrow x+y

b\rightarrow x-y

\Rightarrow (x+y+x-y)(x+y-x+y)

\Rightarrow (2x)(2y)

\Rightarrow 4xy

hence proved

(x+y)^2-(x-y)^2=4xy

8 0
3 years ago
What is 4/5 and 9/10 as a fraction in simplest form
Likurg_2 [28]

Answer:

1 7/10 is your answer.

Step-by-step explanation:

What you have to do is find the GCF.

10 goes into both 5 and 10

<em>8/10 + 9/10 = </em>

<em>17/10 =</em>

1 7/10 is your answer.

3 0
3 years ago
Eight more than the product of a number and six equals three
mixas84 [53]

Answer:

8x + 6 = 3

Step-by-step explanation if solving for x

Simplifying

8x + 6 = 3

Reorder the terms:

6 + 8x = 3

Solving

6 + 8x = 3

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-6' to each side of the equation.

6 + -6 + 8x = 3 + -6

Combine like terms: 6 + -6 = 0

0 + 8x = 3 + -6

8x = 3 + -6

Combine like terms: 3 + -6 = -3

8x = -3

Divide each side by '8'.

x = -0.375

Simplifying

x = -0.375

3 0
4 years ago
Read 2 more answers
A bag contains 4 red marbles, 6 blue marbles, and 8 green marbles. One marble is to be chosen at random.
goldenfox [79]
4 red marbles
6 blue marbles
8 green marbles

Add:

4 + 6 = 10
10 + 8 = 18
18 total marbles 

Green marbles/total marbles 
 
8/18

Simplify:

8 ÷ 2 = 4
18 ÷ 2 = 9
Simplest form = 4/9 

8/18 = 4/9
D. 4/9
6 0
4 years ago
How many 5/8 inch binder clips, laid side by side, make a length of 11 1/4 inches?
ElenaW [278]

Answer:

18

Step-by-step explanation:

make 11 1/4 into improper fraction > 45/4

multiply by 2 so it has same denominator > 90/8

90/8 divided by 5/8 = 18

3 0
3 years ago
Read 2 more answers
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