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rjkz [21]
3 years ago
5

What is the smallest number which is one less than twice its reciprocal?

Mathematics
1 answer:
notka56 [123]3 years ago
7 0

Answer:

The smallest number is x = -2

for which this statement holds !!

Step-by-step explanation:

Let as assume the number be x

then the number is one less than twice its reciprocal i.e,

x =  \frac{2}{x}  - 1

[ For solution refer to the attached file ]

  • Method used to solve quadratic equation is Splitting the middle term !!

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miss Akunina [59]

Answer:8

Step-by-step explanation:

6 0
3 years ago
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Please I need help step by step
zaharov [31]
To find the surface area, you need to do the following:
A side of the figure is a trapezoid, so you should do 13+5x7 (since there are 2 of the same sides there is no need to divide by two.) and it should equal 126. To find the area of the top of the figure, you need to do 5x2 which equals 10. The area of the bottom of the figure is 26 (13x2), then do 2x3x2 to get the sides on the left and right of the figure. After all of this, add them together. (126+10+26+12=174.)
The surface area should be 174mm.
6 0
3 years ago
A quadrilateral with vertices (-3,2),(-5,-4), (4,6), and (7,0) is dilated by a scale factor of 0.5.
Ksenya-84 [330]
Original vertices:
1 (-3, 2)
2 (-5,-4)
3 ( 4, 6)
4 ( 7, 0)

dilated by a scale factor of 0.50

1) -3*0.50 = -1.5 ; 2 * 0.50 = 1 ⇒ (-1.5,1)
2) -5*0.50 = -2.5 ; -4*0.50 = -2 ⇒(-2.5,-2)
3) 4*0.50 = 2; 6*0.50 = 3 ⇒ (2,3)
4) 7*0.50 = 3.5; 0*0.50 = 0 ⇒ (3.5,0)

B.)
 -1.5    -2.5    2    3.5 
<span>     1       -2    3       0 </span>

6 0
3 years ago
Find the value of x
romanna [79]

they are 2 similar triangles, one is smaller than the other. they are in the ratio of 2:1,

hence 7x =56÷2

7x=28

x=4

4 0
3 years ago
Which figure is the image produced by applying the composition T 0,3 o R0,90 to figure R?
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We are given original image R.

It is being translated by (0,3) first and then rotated by a positive angle 90 degrees.

Translation by (0,3) represents (x,y) --> (x, y+3) rule.

Positive 90 degree rotation represents, counterclockwise rotation.

The rule for counterclockwise rotation is (x,y) --> (-y,x).

Therefore, final rule for would be

(x,y) --> ( -y,x+3 )

Let us take a coordinate of R on y-axis as (0,-4).

Now if we apply rule (x,y) --> ( -y,x+3 ) we get

(0,-4)  --> (-(-4), 0+3) = (4,3).

Let us check the figure with coordinate (4,3).

We can clearly see that Figure H has transformed coordinate (4,3).

<h3>Therefore, correct option is first option A. figure H.</h3>
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