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Tatiana [17]
3 years ago
6

If ab = 8 and a^2+b^2=16, then what is the value of (a+b)^2 This answer is worth 100 point.

Mathematics
1 answer:
sergejj [24]3 years ago
5 0

Answer:

32

Step-by-step explanation:

(a+b)^2 = a^2 + 2ab + b^2

(a+b)^2 = a^2 + b^2 + 2ab

(a+b)^2=16+2(8)

(a+b)^2 = 16 + 16 = 32

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16)<br> 1420<br> 2x<br> A) 67<br> C) 68<br> B) 71<br> D) 73<br><br> What is the value of x???
larisa [96]

Answer:

x = 710

Step-by-step explanation:

1. Divide both sides by 2 to get x by itself

1420 = 2x

↓

1420 ÷ 2 = 2x ÷ 2

↓

710 = x

2. Switch sides

710 = x

↓

x = 710

I know it is not one of your options but that is the answer to 1420 = 2x

3 0
3 years ago
A environmental initiative has the goal of saving at least 25 2525 million hectares of rainforest through both planting trees an
Anestetic [448]

Answer:

The possible way for the initiative to accomplish its goal without exceeding its budget is use 12.5 hectares for planting trees and 12.5 hectares by purchasing land.

Step-by-step explanation:

Let the variable <em>X</em> represent the amount of land used for planting trees and <em>Y</em> represent the amount of land purchased.

The goal of the environmental initiative is to save at least 25 million hectares of rain forest.

That is:

<em>X</em> + <em>Y</em> = 25....(i)

Now it is provided that:

  • The cost of planting trees is $ 400 per hectare.
  • The cost of purchasing land is $ 260 per hectare.
  • The initiative has a budget of $8,250 million.

Using the above data it can be said that:

400<em>X</em> + 260<em>Y</em> = 8250....(ii)

Solve equations (i) and (ii) simultaneously.

\ \ \ \ x+y=25]\times 260\\400x+260y=8250\\\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\\\\\Rightarrow\\\\260x+260y=6500\\400x+260y=8250\\(-)\_\_\_\_\_\ (-)\_\_\_\_(-)\_\_\_\\\\\Rightarrow\\\\-140x=-1750\\\\x=\frac{1750}{140}\\\\x=12.5

Then the value of <em>y</em> is:

x+y=25\\y=25-x\\y=25-12.5\\y=12.5

Thus, the possible way for the initiative to accomplish its goal without exceeding its budget is use 12.5 hectares for planting trees and 12.5 hectares for purchasing land.

4 0
3 years ago
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DedPeter [7]

Answer:

Roads that meet at intersections in which create a right angle

Hospital crosses.

Step-by-step explanation:

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Do you know the longest English word that can be spelled without repeating any letter
lawyer [7]

Answer:

Uncopyrightable

Step-by-step explanation:

4 0
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