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Katarina [22]
3 years ago
6

Using the graphing calculator to locate the solutions of this system of equations

Mathematics
1 answer:
ivanzaharov [21]3 years ago
7 0

Answer:

(±√3,±√+1)

Step-by-step explanation:

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What multiplies to -1 and adds to 2
jok3333 [9.3K]
    xy = -1
x + y = 2

  x + y = -2
- x         - x
        y = -x - 2

                           xy = -1
                  x(-x + 2) = -1
              x(-x) + x(2) = -1
                   -x² + 2x = -1
                         + 1   + 1
-x² + 2x + 1 = 0
-1(x²) - 1(-2x) - 1(-1) = 0
           -1(x² - 2x - 1) = 0
                     -1           -1
                x² - 2x - 1 = 0
x = -(-2) ± √((-2)² - 4(1)(-1))
                      2(1)
x = 2 ± √(4 - 4(-1))
                2
x = 2 ± √(4 + 4)
              2
x = 2 ± √(8)
           2
x = 2 ± 2√(2)
           2
x = 1 ± √(2)

               x + y = 2
  (1 ± √(2)) + y = 2
- (1 ± √(2))       - (1 ± √(2))
                     y = 1 ± √(2)
               (x, y) = (1 ± √(2), 1 ± √(2))

The numbers that multiply to -1 and add to 2 are 1 ± √(2).
5 0
3 years ago
The question is on the attachement below and there is a tree diagram with information on it.
mylen [45]

Answer:

56 times

Step-by-step explanation:

P(red & red) = 0.5×0.6 = 0.3

Expected no. = no. Of trials × p

No. of trials: 84/0.3 = 280

P(blue & blue) = 0.5×0.4 = 0.2

Expected no. = 280 × 0.2

= 56

7 0
4 years ago
Factor this: a^n+a^n+1
NARA [144]

Answer:

1 + 2 a^n

Step-by-step explanation:

4 0
3 years ago
Find the volume of the cone 3ft and 2 ft. Round your answer to the nearest tenth if necessary. Use 3.14 for pie
denpristay [2]

Answer:

37.68 ft^3

Step-by-step explanation:

The parameters used in describing a cone is radius and height

Hence

Radius= 3ft

Height = 2 ft

The volume of a cone is given as

v=\frac{1}{3} \pi r^2 h

substitute

v=\frac{1}{3}*3.14*3^2*2^2\\\\v=\frac{1}{3}*3.14*9*4\\\\v=\frac{1}{3}*113.04\\\\v=37.68 ft^3

Hence the volume is 37.68 ft^3

5 0
3 years ago
Write the equation of the line graphed below in slope-intercept form (y=mx+b)?​
ioda
Y = -1/2x - 1

Tell me if you need explanation
7 0
3 years ago
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