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son4ous [18]
3 years ago
7

The first term of an arithmetic sequence is -5, and the tenth term is 13. Find the common difference.

Mathematics
2 answers:
Harrizon [31]3 years ago
8 0

Answer:

d = 2.

Step-by-step explanation:

First term = -5

10th term = -5 + 9d    where d is the common difference, so

-5 + 9d = 13

9d = 18

d = 2.

il63 [147K]3 years ago
3 0

Answer:

2

Step-by-step explanation:

If the common difference is d we can write:

-5 + 9d = 13

9d = 18

d = 2

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Six pyramids are shown inside of a cube. The height of the cube is h units. The lengths of the sides of the cube are b.The area
Viefleur [7K]

Step-by-step explanation:

Cubes have square faces, so the area of the base is b².

The volume of the cube is b³.

The height of each pyramid is half the height of the cube, so h = b/2.  Which means b = 2h.

The cube is made of 6 square pyramids with the same base and height.  Therefore, each pyramid has 1/6 the volume of the cube.  So the volume of each pyramid is b³/6.

8 0
3 years ago
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
yulyashka [42]

Answer:

x=-10, y=-20

Step-by-step explanation:

Since both 2x and 3x+10 equals y, they equal each other.

2x = 3x + 10

x = -10

Substitute -10 for x

2(-10) = y

y=-20

7 0
3 years ago
This table shows the heights of some of the tallest buildings in the United States. Use the table to answer the question
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The Trump tower is 316 feet taller than the Chrysler building.
4 0
3 years ago
Cylinder capacity 4.25 L, cylinder diameter of 13 what is the height of the cylinder?
Musya8 [376]

Answer:

Step-by-step explanation:

Capacity of cylinder =4.25L

So volume of the cylinder=4250

πr^2h=4250

3.14×6.5×6.5×h=4250

132.665h=4250

h=4250/132.665

h=32.035

6 0
3 years ago
Answer the equation
ivanzaharov [21]

Answer:

x = -2, y = -4

coordinate: (-2, -4)

Step-by-step explanation:

Given system of equations:

a) 4x - 7y = 20

b) x - 3y = 10

1. Make x the subject in the <em>second</em> equation:

⇒ x - 3y = 10 [add 3y to both sides]

⇒ x - 3y + 3y = 10 + 3y

⇒ x = 3y + 10

2. Substitute the given value of x into <em>first</em> equation:

⇒ 4x - 7y = 20

⇒ 4(3y + 10) - 7y = 20 [distribute 4 through the parentheses]

⇒12y + 40 - 7y = 20 [combine like terms]

⇒ 5y + 40 = 20 [subtract 40 from both sides]

⇒ 5y - 40 - 40 = 20 - 40

⇒ 5y = -20 [divide both sides by 5]

⇒ 5y ÷ 5 = -20 ÷ 5

⇒ y = -4

3. Find the value of x by substituting the given value of y into x = 3y + 10:

⇒ x = 3y + 10

⇒ x = 3(-4) + 10 [multiply]

⇒ x = -12 + 10 [add]

⇒ x = -2

4. Check your work:

<em>a) 4x - 7y = 20</em>

⇒ 4(-2) - 7(-4) = 20

⇒ -8 + 28 = 20

⇒ 20 = 20 ✔

<em>b) x - 3y = 10</em>

⇒ -2 - 3(-4) = 10

⇒ -2 + 12 = 10

⇒ 10 = 10 ✔

This system of equations has a solution at (-2, -4).

Learn more here:

brainly.com/question/27849342

brainly.com/question/27728118

4 0
2 years ago
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