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Firdavs [7]
3 years ago
7

Find the discriminant and the number of real roots for this equation.

Mathematics
1 answer:
GuDViN [60]3 years ago
8 0

Answer:

D

Step-by-step explanation:

To find the discriminant you do b^2-4(a)(c), which in this case gives you -28. If your discriminant is less than zero, you will have no real roots.

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Which is the range of possible side lengths of the missing side?
Harlamova29_29 [7]

Answer:

5 < x <21

Step-by-step explanation:

The side lengths of a triangle :

The sum of two side lengths selected at random must be bigger than the third side length and their difference must be smaller than the third side length

If we call the third side x than

x must be smaller than 13 + 8 and x must be bigger than 13 - 8 which means

5 < x <21

3 0
3 years ago
What is the obtuse angle formed by hand of a clock at 9:10​
zubka84 [21]

Answer:

it would be 60 degrees

Step-by-step explanation: Every 5 minutes on a clock there is a big number, and there are 12 of those. 360/12 is 30 degrees, so every hour, the hour hand moves 30 degrees.

4 0
2 years ago
Which of the following graphs is the solution set of -10 &lt; 3x - 4&lt;8?
TEA [102]

Answer:

The third one

Step-by-step explanation:

The image above is the explanation, hopefully its help

5 0
2 years ago
Could anyone give me some quick help with this?
Vika [28.1K]

Answer:

a) 8xy = (4)(2xy)

b) 15x⁴z = (5x²)(3x²z)

c) -12x³y³ = (3y³)(-4x³)

d) 8x-2y = (2)(4x-y)

Step-by-step explanation:

a) 8xy = (4)(2xy) for the right side to equal the left 2xy needs to be multiplied by 4 to equal 8xy

b) 15x⁴z = (5x²)(3x²z) you need to multiply 5x² by 3x²z to equal 15x⁴z.

5*3 = 15 and x²*x² = x⁴ so 15x⁴*z = 15x⁴z

c) -12x³y³ = (3y³)(-4x³) becuase -4*3 = -12 and x³*y³ equal x³y³

d) 8x - 2y = (2)(4x-y) when you multiply 2 by 4x-y it equals 8x-2y

PLEASE RATE!! I hope this helps!!

If you have any questions comment below

4 0
2 years ago
Convert the following decimal values into binary (a) 141 (b) 207 (c) 144
sergejj [24]

Answer:

a)(141)_{10}=(10001101)_2

b)(207)_{10}=(11001111)_2

c) (144)_{10}=(10010000)_2                    

Step-by-step explanation:

We need to convert decimal value  in binary value

So Follow the below steps

Keep on dividing the decimal values by 2 until the denominator becomes 0 or 1.

a)

    Decimal value                  Quotient         Remainder

        141                                     70                       1            

        70                                     35                       0

        35                                      17                        1

        17                                        8                         1

        8                                          4                        0

        4                                          2                        0

        2                                           1                        0

        1                                            0                        1

Now write remainder  from bottom to up 10001101.

(141)_{10}=(10001101)_2

10 base is called  decimal value and base 2 is called binary value.

b)

  Decimal value                  Quotient         Remainder

        207                                     103                    1            

        103                                    51                        1

        51                                      25                       1

        25                                      12                       1

        12                                        6                       0

        6                                          3                      0

        3                                          1                       1

        1                                           0                      1

Now write remainder  from bottom to up 11001111.

 (207)_{10}=(11001111)_2    

c)

 Decimal value                  Quotient         Remainder

        144                                     72                   0            

        72                                     36                     0

        36                                      18                     0

        18                                       9                      0

        9                                        4                       1

        4                                        2                      0

        2                                         1                      0

        1                                          0                     1                                                                      

Now write remainder  from bottom to up 10010000.

 (144)_{10}=(10010000)_2    

6 0
3 years ago
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