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Varvara68 [4.7K]
4 years ago
7

Which of the or the following ordered pairs is a solution of x+1/2 y=1?

Mathematics
2 answers:
Vlad [161]4 years ago
6 0

The answer is (-2,6). -2 will replace x variable and 6 will replace the y variable. when it is plug in you may simplify.

x + 1/2 y =1 .... -2 + 1/2 * 6 = 1 .... (half of 6 is 3) ..... -2 + 3 = 1 .... 1 = 1

vova2212 [387]4 years ago
4 0

Answer:

Option a) (-2,6)

Step-by-step explanation:

We are given the following information in the question:

x+\displaystyle\frac{1}{2}y=1

a)(-2,6)

(-2)+\displaystyle\frac{1}{2}(6)=-2 + 3 = 1

Thus, it is a solution of the given equation.

b)(2,-6)

(2)+\displaystyle\frac{1}{2}(-6)=2 - 3 = -1

Thus, it is not a solution of the given equation.

c)(-2,-6)

(-2)+\displaystyle\frac{1}{2}(-6)=-2 - 3 = -5

Thus, it is not a solution of the given equation.

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Explain the different ways it is possible to add two rational numbers and get a negative number.
Eduardwww [97]

<u>Answer:</u>

both numbers are negative

negative number is greater than the positive number

<u>Step-by-step explanation:</u>

In order to add two rational numbers and get a negative value, one of two scenarios should occur:

<u>1- both numbers are negative.</u>

2- negative number is greater than the positive number

3 0
3 years ago
How do you go about doing this surface area problem?
hammer [34]
Break it down into 2-Dimensional shapes. Then add the areas together.

From the picture you can see;
front & back rectangles are 2*(4 x 8) = 64 m²
2 side rectangles are 2*(4 x 12) = 56 m²
2 triangular front & back pieces are (1/2)*8*3 = 12 m²
2 roof rectangles are 2*(5 x 12) = 120 m²

total Surface area = 64 m² + 56 m² + 12 m² + 120 m²
= 252 m²

For the volume; break it up into 3-dimenssional shapes and add the volumes together.

From the picture you can see;
Rectangular box volume is 4 x 8 x 12 = 384 m³
Triangular roof volume is area of front triangle multiplied through the length. (1/2)*8*3* 12 = 144 m³

Total volume = 384 m³ + 144 m³
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5 0
3 years ago
Which value is a solution to the inequality 5x – 1 ≤ –11?
avanturin [10]

Answer:

x≤-2

Step-by-step explanation:

To solve the inequality, we have to add 1 on each side:

5x-1≤11

  +1   +1

And then we get:

5x≤-10.

To find x, we have to divide each side by 5:

5x/5≤-10/5

After we do that, we get:

x≤-2.

5 0
3 years ago
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The volume of a cube is 125 cubic inches. What is the<br> length of one edge of the cube?
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Step-by-step explanation:

All the edges of a cube have the same length, and the volume of a cube is the length of an edge taken to the third power. So the length of the edge of a cube with a volume of 125 is 5.

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Answer:

The y intercept is 4.

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