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blsea [12.9K]
3 years ago
10

Which of the following equations describes the line shown below , check all that apply

Mathematics
1 answer:
Bond [772]3 years ago
5 0
The line is passing through the y-axis at 3. The slope of the line is 3.
So your equation would be y = 3x + 3.

Now solve A through F to see which equation(s) matches the line.

A. y + 6 = 3(x + 3)
     y + 6 = 3x + 9
     y = 3x + 3

B. y + 6 = 3(x + 1)
     y + 6 = 3x + 3
     y = 3x - 3

C. y - 6 = 3(x - 3)
     y - 6 = 3x - 9 
     y = 3x - 3

D. y - 6 = 3(x - 1)
     y - 6 = 3x - 3
     y = 3x + 3

E. y = 3x + 2

F. y = 3x + 3

Which letters equaled y = 3x +3?
A, D, and F.

The equations that describe the line are A, D, and F.
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A cylindrical container of five rubber balls has a height of 30 centimeters and a diameter of 6 centimeters. Each ball in the co
Artyom0805 [142]

Answer:

There is 170 cm³ free space in the container.

Step-by-step explanation:

Cylindrical container: height = 18 cm ; diameter = 6 cm.

3 balls each have a radius of 3 cm.

Volume of a cylinder = π r² h

V = 3.14 * (3cm)² * 18 cm

V = 508.68 cm³

Volume of rubber ball = 4/3  π r³

V = 4/3 * 3.14 * (3cm)³

V = 113.04 cm³

113.04 cm³  * 3 balls = 339.12 cm³

508.68 cm³ - 339.12 cm³ = 169.56 cm³ or 170 cm³

3 0
3 years ago
A pattern is made by toothpick squares. Select the series that represents the number of toothpicks added to a picture to get the
lorasvet [3.4K]
The answer is, 4 + 8 + 12 + 16 ... rule is 4n.

Explanation:

one square has 4 toothpicks, then you added 4 picks (because you started with zero squares).

4 squares have 12 toothpicks, then you added 8 toothpicks to pass from one square to 4 squeres.

If you follow that reasoing you get to realize that the additions are 4, 8, 12, 16.
4 0
3 years ago
What is the value of the expression below?<br> 32^3/5<br> O A. 6/5<br> B. 6<br> O c. 96/5<br> O D. 8
Hoochie [10]

Answer:

D. 8

Step-by-step explanation:

32^(3/5) is the same as \sqrt[5]{32}^3.

 \sqrt[5]{32} = 2 because 2^5=32

2^3 = 8

6 0
2 years ago
Read 2 more answers
Y = 1/2 (x-2)² - 4<br> In Standard form
Novosadov [1.4K]

Answer:

Y = x^2/2 - 2x - 2

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
How can i solve for y in this problem? 2x-y=3
pshichka [43]

Hello from MrBillDoesMath!

Answer:

y = 2x - 3

Discussion:

2x - y = 3  =>                  add "y" to both sides

2x - y + y = 3 + y =>        as -y+y = 0

2x = 3 + y    =>                subtract 3 from each side of the equation      

2x-3 = y


Thank you,

MrB

4 0
3 years ago
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