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Nina [5.8K]
3 years ago
15

Which property of equality would be used to solve 3x=81

Mathematics
1 answer:
Makovka662 [10]3 years ago
5 0

Answer:

Division

Step-by-step explanation:

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Each of the line segments in the word MATH are numbered in the graph below. Find the slope (as a ratio of rise over run) of each
emmasim [6.3K]

Answer/Step-by-step explanation:

7. Line 1 = undefined.

Slope of a vertical line is always undefined. The run is zero as x-coordinate remains the same.

8. Line 2 = \frac{4}{3}

slope = \frac{y_2 - y_1}{x_2 - x_1}

slope = \frac{8 - 4}{-5 -(-8)}

slope = \frac{8 - 4}{-5 + 8}

slope = \frac{4}{3}

9. Line 3 = \frac{4}{3}

slope = \frac{y_2 - y_1}{x_2 - x_1}

slope = \frac{8 - 4}{-2 -(-5)}

slope = \frac{8 - 4}{-2 + 5}

slope = \frac{4}{3}

10. Line 4 = undefined (slope of a vertical line is always undefined)

11. Line 5 = \frac{7}{3}

slope = \frac{y_2 - y_1}{x_2 - x_1}

slope = \frac{8 - 1}{5 - 2}

slope = \frac{7}{3}

12. Line 6 = -\frac{7}{3}

slope = \frac{y_2 - y_1}{x_2 - x_1}

slope = \frac{8 - 1}{5 - 8}

slope = \frac{7}{-3}

slope = -\frac{7}{3}

13. Line 7 = 0

An horizontal line has no rise.

14. Line 8 = 0 (slope of horizontal line is always zero)

15. Line 9 = undefined (slope of a vertical line is always undefined)

16. Line 10 = undefined (slope of a vertical line is always undefined)

17. Line 11 = 0 (slope of horizontal line is always zero)

18. Line 12 = undefined (slope of a vertical line is always undefined)

5 0
3 years ago
What is 4x -1/2<br> =x+ 7
gogolik [260]

Answer:

Step-by-step explanation:

Bringing like terms on one side

4x - x = 7 + 1/2

3x = 7.5

x = 7.5/3

x = 2.5

5 0
3 years ago
Read 2 more answers
A company sells boxes that are 2 3/8 feet high, 3 5/8 feet long, and 1 7/8 feet wide. John has a storage room that is 8 feet wid
oksian1 [2.3K]
A) (12 ft)/(2 3/8 ft) = 5 1/19

The maximum height of a stack of boxes is 5 boxes.


b) (1/19)*(2 3/8 ft) = 1/8 ft is the room left at the top of the stack.
7 0
3 years ago
2x 5 The area of the rectangle shown is given by the function A()- 2 -5x lfthe width of the rectangle is 13, then the area is 42
PIT_PIT [208]
If you let x = 13:
     Then, Area = 2(13)^2 - 5(13)
                        = 338 - 65
                        = 273 sq ft

If you let 2x-5 = 13:
                  2x = 18
                    x = 6
 
     Then, Area = 2(6)^2 - 5(6)
                        = 72 - 30
                        = 42 sq ft

Therefore, your options are A or C. Your answer can be chosen based on what you assume the width to be. Good luck!

7 0
3 years ago
What is the simplest form of ^3 square root 27a^3b^7
Irina-Kira [14]
\bf \sqrt[3]{27a^3b^7}\quad &#10;\begin{cases}&#10;27=3\cdot 3\cdot 3\\&#10;\qquad 3^3\\&#10;b^7=b^{3+3+1}\\&#10;\qquad b^3b^3b^1\\&#10;\qquad (b^2)^3b^1&#10;\end{cases}\implies \sqrt[3]{3^3a^3(b^2)^3b^1}&#10;\\\\\\&#10;3ab^2\sqrt[3]{b^1}\implies 3ab^2\sqrt[3]{b}
4 0
4 years ago
Read 2 more answers
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