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Alexus [3.1K]
2 years ago
16

What values of b satisfy 3(2b + 3)2 = 36?

Mathematics
2 answers:
KiRa [710]2 years ago
6 0

the correct question is

What values of b satisfy 3(2b+3)^2 = 36


we have

3(2b+3)^2 = 36

Divide both sides by 3

(2b+3)^2 = 12

take the square root of both sides

( 2b+3)} =(+ /-) \sqrt{12} \\ 2b=(+ /-) \sqrt{12}-3


b1=\frac{\sqrt{12}}{2} -\frac{3}{2}

b1=\sqrt{3} -\frac{3}{2}


b2=\frac{-\sqrt{12}}{2} -\frac{3}{2}

b2=-\sqrt{3} -\frac{3}{2}

therefore


the answer is

the values of b are

b1=\sqrt{3} -\frac{3}{2}

b2=-\sqrt{3} -\frac{3}{2}


bearhunter [10]2 years ago
4 0

Answer:

Everyone is simplifying too far. The answer is A. b = (-3 +- 2 square root 3) / 2

Step-by-step explanation:

+-square root 3 - 3/2 is correct but that is not one of the options.

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a number consists of two digits. One of the digit is greater than the other by 5 when the digits are reversed the number become
Rom4ik [11]

Answer:

the number is 27

Step-by-step explanation:

7 - 2 = 5

72 ÷ 3 = 24

24 ÷ 8 = 3

6 0
3 years ago
What is the lcm of 8,12,3
Mekhanik [1.2K]

Answer:

24

Step-by-step explanation:

24

The LCM of 3,8,12 3 , 8 , 12 is the result of multiplying all prime factors the greatest number of times they occur in either number. The LCM of 3,8,12 3 , 8 , 12 is 2⋅2⋅2⋅3=24 2 ⋅ 2 ⋅ 2 ⋅ 3 = 24 .

5 0
3 years ago
What is the approximate area of a circle enclosed by a piece of rope 50.24 inches long? (Use the fact that π ≈ 3.14 to make your
Nikitich [7]

Answer:

the approximate area of this circle is 200.96 inches long.

Step-by-step explanation:

To answer this problem we need to remember that the area of a circle is given by the formula:

Area = πr^2 where r is the radius.

and the perimeter is:

Perimeter = 2πr

Now, the problem tells us that the circle is enclosed by a piece of rope that's 50.24 inches long. So the perimeter of the circle is 50.24 inches.

Since we have the value of the perimeter and the value of pi, we are going to substitute these values in the perimeter formula to find r.

Perimeter = 2πr

50.24=2(3.14)r

50.24= 6.28r

50.24/6.28= r

8= r

Thus, the radius of the circle is 8 inches long.

Now, we can use this value to find the area of the circle:

Area = πr^2

Area = π8^2

Area = 3.14 (64)

Area = 200.96

Therefore, the approximate area of this circle is 200.96 inches long.

3 0
3 years ago
Find the distance between the points 3,7 and 15, 12 on the coordinate plane?
lana [24]
\text{Distance } = \sqrt{ (x_2 -x_1)^2 + (y_2 - y_1)^2}

\sqrt{ \left( 15 -  3\right)^2 +  \left( 12 -  7\right)^2}\\\\\sqrt{\left( 12\right)^2  + \left( 5\right)^2}\\\\\sqrt{    144  +   25 }\\\\\\ \sqrt{   169 } = \boxed{\bf{ 13}}
8 0
3 years ago
the head of a nail is circular , as shown the head of this nail has a diameter of 6 millimeters what measurment is closet to the
Nikitich [7]

Answer:

Area of nail's head  = 28.26 millimeter² (Approx.)

Step-by-step explanation:

Given:

Head of nail is circular

Diameter of nail's head = 6 millimeter

Find:

Area of nail's head

Computation:

Radius of nail's head = Diameter / 2

Radius of nail's head = 6 / 2

Radius of nail's head = 3 millimeter

Area of circle = πr²

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Area of nail's head  = (22/7)(9)

Area of nail's head  = (3.14)(9)

Area of nail's head  = 28.26 millimeter² (Approx.)

5 0
2 years ago
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