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3 years ago

7(2a−9)−(8a+2) Simplified please anyone?

Mathematics

1 answer:

Verizon [17]3 years ago

8 0

Answer:

6a+61

Step-by-step explanation:

7(2a-9)-(8a+2)

7x2a=14a

7x9=63

14a+63-(8a+2)

-1x8a=-8a

-1x2=-2

14a+63-8a-2

6a+61

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Find the theoretical probability of rolling a number cube labeled 1-12 and<br> it landing on 7.

Rashid [163]

Answer:

1/12

Step-by-step explanation:

There are 12 sides, and 7 is one of them. Therefore, there is a 1/12 chance of it landing on that side if it is a fair cube.

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3 years ago

Two paths each of width 4m run across the middle of a rectangular field 24m long and 16m wide. Calculate the area of the paths.

djverab [1.8K]

Answer:

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3 years ago

5. Find the discriminant of 15x2 = 4x – 1 and describe

diamong [38]

Answer:

a) The discriminant of the equation = - 44

b)The nature of the roots will be imaginary.

c) $x = \frac{2 +\sqrt{11} i}{15} or, x = \frac{2 - \sqrt{11} i}{15}$

Step-by-step explanation:

Here, the given expression is $15x^{2} = 4x -1$

or, $15x^{2} - 4x + 1 = 0$

Now the discriminant (D) of a quadratic equation $ax^{2} +b x + c = 0$

D = $b^{2} - 4ac = (-4)^{2} - 4(15) (1) = 16 - (60) = -44$

Hence, the discriminant of the equation = - 44

As D< 0, so the roots will be imaginary.

Now,by quadratic formula : $x = \frac{-b \pm \sqrt{b^{2} - 4ac} }{2a}$

So, here $x = \frac{-(-4) \pm \sqrt{D} }{2a} = \frac{4 \pm \sqrt{(-44 )} }{30}$

So, either $x = \frac{4 + \sqrt{(-44 )} }{30} or, x = \frac{4 - \sqrt{(-44 )} }{30}$

or, $x = \frac{2 +\sqrt{11} i}{15} or, x = \frac{2 - \sqrt{11} i}{15}$

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2 years ago