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iogann1982 [59]
2 years ago
15

Hence explain how you know that x^2-8x+20 is always positive

Mathematics
2 answers:
Tasya [4]2 years ago
6 0

If you complete the square you get

{(x - 4) }^{2}  + 4

and as any number squared is positive and 4 is positive, the result must be positive

Leya [2.2K]2 years ago
6 0

Answer:

x^2-8x+20=x^2-2*x*4+4^2+4=(x-4)^2+4

so (x-4)^2 is positive or zero (but +4  is always positive)

Step-by-step explanation:

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Solve for x*<br> (17x - 8)
djyliett [7]

Answer:x=4

Step-by-step explanation:

This triangle is an equilateral triangle with all angles equal.

Sum of angles in a triangle=180

17x-8+17x-8+17x-8=180

Collect like terms

17x+17x+17x-8-8-8=180

51x-24=180

51x=180+24

51x=204

Divide both sides by 51

51x/51=204/51

x=4

3 0
2 years ago
Triangle RST was dilated by a scale factor of One-half. The image, triangle R'S'T', is an isosceles triangle, with each leg meas
andrew11 [14]

Answer:

The length side of the pre-image is 16 units

Step-by-step explanation:

we know that

The length side of the image is equal to the length side of the pre-image multiplied by the scale factor

or

The length side of the pre-image is equal to the length side of the image divided by the scale factor

in this problem we have that

The scale factor is 1/2

The length side of the image is 8 units

therefore

8/(1/2)=16 units

The length side of the pre-image is 16 units

8 0
2 years ago
Read 2 more answers
Consider the diagram.<br> What is QS?<br> 2 units<br> 5 units<br> 17 units<br> 33 units
blagie [28]

Answer:

The answer on ed is 17 units I took the test.

Step-by-step explanation:

3 0
2 years ago
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What is the sum of the rational expressions below?<br> 3x-1/2x + 3x/x-1
Elden [556K]
In order to find the sum of the given rational expressions above, here are the steps.
Firstly, you need to find the LCM of the least common denominator.
So it would look like this: 
<span>3x-1 +   3x            (3x-1)(x-1) + (2x)(3x)
------    -------    =    ---------------------------
  2x       x-1                  2x(x-1)

3x^2-4x+1+6x^2
----------------------
    2x(x-1)
And the final result would be this:
9x^2-4x+1
--------------
  2x(x-1)

</span>9x^2-4x+1
--------------
  2x^2-2x
<span>
Hope that this is the answer that you are looking for. 

</span>
6 0
2 years ago
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A swimmer can swim 50.2 meters in 1 minute. How far can he swim in half an hour? *
belka [17]

Answer:

1506meters

Step-by-step explanation:

1hour-60minutes

which means half an hour is 30minutes,so it's more like they are asking you to find how far the swimmer can swim in 30minutes

50.2-1min

x -30min

x=50.2×30

x=1506meters

6 0
2 years ago
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