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zhenek [66]
3 years ago
13

What is the distance between the points (4,-2) and )-5,3)?

Mathematics
1 answer:
abruzzese [7]3 years ago
3 0

Answer:

10.3

Step-by-step explanation:

Let the given points be the endpoints of a right triangle.  The horizontal change in x is from 4 to -5 and is negative 9; the vertical change in y is from -2 to+ 3 and is +5.

The desired distance is found using the Pythagorean theorem:

d = √(9² + 5²) = √106, or 10.3 (to the nearest tength)

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Juli2301 [7.4K]
(4,4)736472i would help but i jus points to do my homework lol
4 0
3 years ago
What is the range of function y=√(-2cos^2x+3cosx-1)
Ugo [173]
Hello Friend,here is the solution for your question


<span>so the given function is </span>
y= √(-2cos²x+3cosx-1)
 i.e = √[-2(cos²x-3/2+1/2)]
i.e = √[-2(cosx-3/4)²-9/16+1/2]
i.e. = √[-2(cos-3/4)²-1/16]
i.e. = √[1/8-3(cosx=3/4)²]-----------(1)

Now here  in this equation is this quantity :-
<span>(cosx=3/4)²----------------(2)   is to it's minimum value then the whole equation </span>
<span>i.e. = √[1/8-3(cosx=3/4)²] will be maximum and vice versa </span>


And we know that cosx-3/4 will be minimum if cosx=3/4
<span>therefore put this in (1) we get </span>
(cosx=3/4)²=0    [ cosx=3/4]
<span>hence the minimum value of the quantity (cosx=3/4)² is 0 </span>

<span>put this in equation (1) </span>
we get ,
i.e. = √[1/8-3(cosx=3/4)²]
   =√[1/8-3(0)]        [ because minimum value of of the quantity (cosx=3/4)² is 0 ]
     =√1/8
      =1/(2√2)

<span>this is the maximum value now to find the minimum value </span>

<span>since this is function of root so the value of y will always be ≥0 </span>

<span>hence the minimum value of the function y is 0 </span>


<span>Therefore, the range of function </span>y is [0,1/(2√2)]


__Well,I have explained explained each and every step,do tell me if you don't understand any step._

8 0
3 years ago
F(x)= 6x-5<br><br><br> need help!
Annette [7]
<h3>       </h3><h2> F-{1} (x)= x/6 + 5/6</h2>

3 0
2 years ago
1. Write 1/5 as a decimal
bija089 [108]

Answer:

1.5

1.5%

10/0

7/20

35.1%

8.20%

8.20

Step-by-step explanation:

there u go

7 0
3 years ago
Which number produces a rational number when added to 1/2
JulijaS [17]

Answer:

C.   0.314.

Step-by-step explanation:

1/2 is rational. The answer is another rational number.

The only rational number in the list is 0.314.

3 0
3 years ago
Read 2 more answers
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