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Furkat [3]
2 years ago
5

Someone please help me answer this!!

Mathematics
1 answer:
Liula [17]2 years ago
7 0

Answer:

100 in is the answer.

Step-by-step explanation:

a = 60 in

b = 80 in

c = ?

According to the Pythagorean theorem,

a² + b² = c²

60² + 80² = c²

3600 + 6400 = c²

c² = 10000

c = 100 in

∴ the distance between the opposite corners of the bed is 100 in

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Step-by-step explanation:

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3 years ago
What is the image of (-9,0) after a reflection over the line y=x
SpyIntel [72]

Answer:

(0,-9)

Step-by-step explanation:

The image of a point (x,y) over a line y=x is given by the co-ordinate rule:

(x,y) → (y,x)

So, when we reflect a point over the line y=x, the x co-ordinate and y co-ordinate change their places.

Here, (x,y) is (-9,0). So, from the above rule, after reflection over the line y=x, the image has the following co-ordinates:

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77julia77 [94]

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3 years ago
Which is a factor of 144 - 49x²?<br> O 12-7x²<br> O 72-7x²<br> O 12-7x<br> O 72 + 7x
lisabon 2012 [21]

Answer: C: 12-7x

Step-by-step explanation:

This expression is a good example of the difference of two squares, as 144 is the square of 12, while 49x² is the square of 7x.

Any difference of two squares a^2-b^2 can be factored into the sum of their square roots times the difference of their square roots (a+b)(a-b).

Let's factor our expression.

144-49x^2=(12+7x)(12-7x)

Out of all the options given, only 12-7x is a factor. Hence, option C is correct.

4 0
2 years ago
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SpyIntel [72]
The best and most correct answer provided from your question about the solution of a logarithmic equation is the fourth option which is x = 4. The solution to the equation is as follows:

We can transform the expression to:

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I hope it has come to your help.


4 0
3 years ago
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