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Archy [21]
3 years ago
15

What is the common difference for the arithmetic sequence?

Mathematics
2 answers:
kramer3 years ago
5 0
The common difference is -6.

Because,
14 - 6 = 8
 8 - 6 = 2
 2 - 6 = -4
 -4 - 6 =-10
Artemon [7]3 years ago
3 0

Answer: The common difference= -6


Step-by-step explanation:

Here in the given sequence the first term=a_1=14

The second term=a_2=8

The third term=a_3=2

The fourth term=a_4=-4

The fifth term=a_5=-10

The difference between the consecutive terms=d=a_2-a_1=8-14=-6

d=a_3-a_2=2-8=-6

d=a_4-a_3=-4-6=-6

d=a_5-a_4=-10-(-4)=-6

hence the common difference= -6

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7 miles

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What is the reason for each strip on the solution of the equation?
Pani-rosa [81]

Step 1: Given

Step 2:  Distributive Property

Step 3: Addition Property of  Equality

Step 4: Division Property of  Equality

Step-by-step explanation:

We need to match the reason with the correct step in the equation.

Equation:

Given:

2x = -4(x-3)

Applying Distributive property a(b+c)=ab+ac

2x=-4x+12

Now, Applying addition property of equality:

Adding +4x on both sides

2x+4x=-4x+12+4x\\6x=12

Now, Applying Division property of Equality:

Divide both sides by 6:

\frac{6x}{6}=\frac{12}{6}\\x=2

So, Answer will be:

Step 1: Given

Step 2:  Distributive Property

Step 3: Addition Property of  Equality

Step 4: Division Property of  Equality

Keywords: Solving Equations

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7 0
2 years ago
What is the volume rounded to the nearest whole number?
Semenov [28]

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13 in³

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3 0
3 years ago
A square base of a pyramid has the dimensions 5 yards
AfilCa [17]

Answer:

145 yd²

Step-by-step explanation:

There will be dour triangular faces. For a triangle, area is given as

A=½bh where b is base and h is height. The base will be 5 yards and h is 12 yards hence for one triangular face, area will be ½*5*12=30 yd²

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The surface area of a square base is given by

A=a*a=a² where a is the dimension of one side. Given that the meaurement is 5 yards then A=5²=25 yd²

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7 0
3 years ago
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Solve for the missing sides 30-60-90 triangle show work please and thank you
Alex_Xolod [135]

Answer:

4.

x=8\sqrt{3}

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x=3

y=3\sqrt{3}

Step-by-step explanation:

The sides of a (30 - 60 - 90) triangle follow the following proportion,

a-a\sqrt{3}-2a

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4.

It is given that the side opposite the (30) degree angle has a measure of (8) units. One is asked to find the measure of the other two sides.

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5.

In this situation, the side opposite the (90) degree angle has a measure of (6) units. The problem asks one to find the measure of the other two sides,

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y=3\sqrt{3}

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x=3

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3 years ago
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