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Lostsunrise [7]
3 years ago
10

The sum of a number and its reciprocal is 13/6. find the number

Mathematics
1 answer:
iris [78.8K]3 years ago
6 0
Suppose the number is x, its reciprocal is 1/x
x+1/x=13/6
(x^2+1)/x=13/6
6(x^2+1)=13x
6x^2-13x+6=0
(3x-2)(2x-3)=0
x=2/3 or x=3/2
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The length of a rectangle is four times the width. The perimeter of the rectangle is 45 inches. Write a system of equations that
wolverine [178]

Answer:

Let l be the length and w the width of the rectangle.

P as the perimeter and A as the area.

length of a rectangle is four times the width:

w = w

l = 4w

System of equation : 2l + 2w = P

Substitute:

2(4w) + 2w = 45

8w + 2w

10w = 45

w = 45 / 10

w = 4.5

Solve for l:

l = 4w

l = 4(4.5)

l = 18

Area:

A = lw

A = 18(4.5)

A = 81 in²

8 0
3 years ago
Read 2 more answers
If f(4) = 5, find f ^-1 (5).
Levart [38]

Answer:

  4

Step-by-step explanation:

The relation defined by f includes (4, 5). Then the inverse relation will include (5, 4).

  f^{-1}(5)=4

7 0
3 years ago
Using the technique in the model above, find the missing sides in this 30°-60°-90° triangle.
lina2011 [118]
For this case what you should do is use the following trigonometric relationship:
 sin (x) = C.O / h
 Where
 x: angle
 C.O: opposite leg
 h: hypotenuse
 Substituting the values we have:
 sen (60) = long / h
 sen (60) = 3 / h
 h = 3 / sin (60)
 h = 3.46
 Answer:
 h = 3.46
7 0
3 years ago
Read 2 more answers
Plz answer only if you know it's correct. willl give brainliest to best answer
just olya [345]

Answer:

i believe is is 3/2

Step-by-step explanation:

as y goes up 30 x goes over 20

30/20 simplified is 3/2

3 0
3 years ago
Read 2 more answers
A bedroom wall is 12 feet long. A decorator places the center of a square painting that has side lengths of 3 feet in the exact
antiseptic1488 [7]

the answer is 9 feet

cuz 12-3=9

8 0
2 years ago
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