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2 years ago

Line WV is perpendicular to both line RS and line TU.

Mathematics

2 answers:

lozanna [386]2 years ago

7 0

Answer: The true statement is 'Line TU is parallel to line RS'.

Explanation: Since, we know that if a line is perpendicular to two different lines then these two different lines must be parallel to each other.

Here, it is given that WV is perpendicular to both lines RS and TU.

Therefore, RS must be parallel to TU.

⇒ Option (1) is correct.

Note: Option (2) 'Line TU is perpendicular to line RS' can not be possible.

Option (3) 'Line TU has no slope' is only possible if the line TU is parallel to the X-axis, which is not mentioned in the question.

So, we can not say it to be true.

Option(4) 'Line TU has a slope of –5' can be true or not.

We can find the slope of line TU if we have the equation of line TU.

Therefore, it also not necessarily true.

FinnZ [79.3K]2 years ago

5 0

TU is parallel to line RS because both equations are perpendicular on the same line.

Hope this helps :)

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The rate of change of a function occurring as a limit approaches zero is called

Virty [35]

Answer:

The rate of change of function occurring as limit approaches zero is called as Derivative.

Step-by-step explanation:

Given:

The rate of change of function occurring as limit approaches zero

Solution:

Consider, rate of change using limits is give by,

f'(a)=limit[ f(t)-f(a)/(t-a)] as t tends to zero.

and it not possible to calculate t that last for zero seconds.

So this concept of Instantaneous rate of change and limit approaches zero is called as Derivative.

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2 years ago

Choose any positive integer. Powers of two here are not very interesting, so choose something else. If the number you have chose

Yakvenalex [24]

Answer:

Step-by-step explanation:

Let the integer be 6 for even and 7 for odd (say)

For 6, we divide by 2, now get 3. Now we multiply by 3 and add 1 to get 10. Now since 10 is even divide by 5, now multiply by 3 and add 1 to get 16. Now divide by 2 again by 2 again by 2 again by 2 till we get rid of even numbers.

The result is 1, so multiply by 3 and add 1 we get 4 now divide 2 times by 2 to get 1, thus this result now again repeats after 2 times.

Say if we select off number 3, multiply by 3 and add 1 to get 10 now divide by 5, now repeat the same process as above for 5 until we get 1 and it gets repeated every third time.

Thus whether odd or even after some processes, we get 1 and the process again and again returns to 1.

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2 years ago

A coach purchases 47 hats for his players and their families at a total cost of $302. The cost of a small hat is $5.50. A medium

bazaltina [42]

First, we define variables:
x: small hat
y: medium hat
z: large hat
We now write the system of equations:
x + y + z = 47
5.50x + 6y + 7z = 302
-3x + y = 0
We can write the system in matrix form as:
Ax = b
Where,
A = [1 1 1; 5.50 6 7; -3 1 0]
b = [47; 302; 0]
x = [x; y ; z]
Solving the system we have:
x = 6
y = 18
z = 23
Answer:
the coach did purchase 23 large hats
d. 23

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2 years ago

Read 2 more answers

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Free_Kalibri [48]

The answer is negative -40

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2 years ago

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natali 33 [55]

Answer:

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