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cestrela7 [59]
3 years ago
6

Im h--> 0 ((Sqrt 9+h)-3)/h

Mathematics
1 answer:
Svetradugi [14.3K]3 years ago
6 0
\lim_{h \to 0}  \frac{ \sqrt{9+h}-3}{h} = \frac{ \sqrt{9+0} -3}{0}= \frac{0}{0} \\  \lim_{h \to 0}  \frac{ \sqrt{9+h}-3}{h}* \frac{ \sqrt{9+h}+3 }{ \sqrt{9+h} +3}= \\ = \lim_{h \to 0}   \frac{9+h-9}{h( \sqrt{9+h} +3)}  = \\   \lim_{n \to 0} \frac{h}{h( \sqrt{9+h}+3) }= \\ = \frac{1}{ \sqrt{9} +3}= 
= 1/6
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Look at the formula for finding distance.
IrinaK [193]
We simply rearrange the equation to find t:

rt = d

t = d/r
6 0
3 years ago
Read 2 more answers
To drive from New York City, NY, to Los Angeles, CA, you must drive about 2,779 miles. If you drive 60 miles per hour, about how
SOVA2 [1]

You would spend about 46.3 hours driving

Step-by-step explanation:

To drive from New York City, to Los Angeles,

  • You must drive about 2,779 miles
  • You drive 60 miles per hour

We need to find about how many hours you would spend driving

∵ The distance you must drive = 2,779 miles

∵ You drive 60 miles per hour

∵ Distance = speed × time

- Substitute the distance and speed in the rule above

∴ 2,779 = 60 × time

- Divide the two sides by 60

∴ 46.32 = time

∴ The time is about 46.3 hours

You would spend about 46.3 hours driving

Learn more:

You can learn more about word problems in brainly.com/question/9533500

#LearnwithBrainly

8 0
3 years ago
Examine the system of equations. y = –3x – 2, y = 7 The value of x is . The solution to this system of equations is .
joja [24]
Hello!

You can substitute y into the other equation

7 = -3x - 2

Add 2 to both sides

9 = -3x

Divide both sides by -3

-3 = x

The answer is -3

Hope this helps!
3 0
4 years ago
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Oabc is a square o is 0,0 a is -2,2 b is 0,4 c is 2,2 A single transformation of oabc is such that A is mapped to c. C is mapped
Elis [28]

Using translation concepts, it is found that the transformation is a reflection over the y-axis.

<h3>What is a translation?</h3>

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

For this problem, we have that A is mapped to C and vice-versa. Since they are equidistant to the y-axis, we have that the rule is given by:

(x,y) -> (-x,y).

Meaning that the transformation is a reflection over the y-axis.

For O and B, the rules are given as follows:

  • O: (0,0) -> (-0,0) = (0,0).
  • B: (0,4) -> (-0, 4) = (0,4).

Showing that points O and B are invariant, keeping the same coordinates and confirming that the transformation is a reflection over the y-axis.

More can be learned about translation concepts at brainly.com/question/4521517

#SPJ1

3 0
2 years ago
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Darina [25.2K]
The answer is (3,4)
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