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Vedmedyk [2.9K]
3 years ago
5

Factor the sum of terms as a product of the GCF and a sum

Mathematics
1 answer:
kaheart [24]3 years ago
4 0
5. 4(13 + 7)
7. 5(2y + 3)
8. 3(6s + 7)
9. 7(7m + 1)
10. 8(7 + 3x)
11. 5(16 + 5z)
12. 8(4b + 6)
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A) If the 5th term of an A.P. is double the 7th term, show that the sum of the 17 terms zero.​
gayaneshka [121]

Answer:

see explanation

Step-by-step explanation:

The nth term of an AP is

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₅ is double a₇ , then

a₁ + 4d = 2(a₁ + 6d) , that is

a₁ + 4d = 2a₁ + 12d ( subtract a₁ from both sides )

4d = a₁ + 12d ( subtract 12d from both sides )

- 8d = a₁

The sum of n terms of an AP is

S_{n} = \frac{n}{2} [ 2a₁ + (n - 1)d ] , substitute values

S_{17} = \frac{17}{2} ( 2(- 8d) + 16d)

     = 8.5(- 16d + 16d)

     = 8.5 × 0

     = 0

5 0
3 years ago
Given that 6 yards is equal to 18 feet, what is the ratio of yards to fee
expeople1 [14]
I'm going to assume you just mean how do you write the ratio, in which case the answers vary
18:6
18 to 6
or
18/6
3 0
3 years ago
Step by step explanation!
Afina-wow [57]

Answer:

yhe picture is blur.

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
The sum of three consecutive integers is -206 . What is the largest integer?
solniwko [45]

Answer:

Can' possible......

Step-by-step explanation:

Let suppose the numbers are:

x

x + 1

x + 2

Now according to given condition:

x + x +1 + x+ 2 = -206

By adding we get:

3x + 3  = -206 Subtracting 3 from both sides:

3x + 3 - 3 = -206 -3

Both terms on right side have negative sign so we will add them. (answer will have negative sign.)

3x = -209  

Dividing both sides by 3:

x = -209/3

x = -69.6666

that is not an integer so the question is wrong.

I hope it will help you!

8 0
3 years ago
Please Help!!!!!!! I need it!
sergiy2304 [10]

Answer:

Rotation - Twists the shape

Reflection - Flips the shape

Translation - Slides a shape

Dilation - Enlarge or reduces a shape

Congruent - Same shape same size

Rigid Motion - type of transformation that  creates congruent figures

Hope this helped. I apologize if any of them are wrong..

5 0
3 years ago
Read 2 more answers
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