If the determinant of this matrix is 24, what is the value of b? A. 4 B. 8 C. 16 D. 20

Answers

Answer 1

Answer: B=8

Step-by-step explanation: I got this right on Edmentum.

If The Determinant Of This Matrix Is 24, What Is The Value Of B? A. 4 B. 8 C. 16 D. 20
Answer 2

The value of the variable b will be 8. Then the correct option is B.

What is determinant?

The determinant in math is a scalar quantity that is a result of the rows and columns of a matrix form.

If the determinant of this matrix is 24.

The matrix is given below.

[tex]\begin{bmatrix}-5 & 4 & 1 \\5 & -7 & -4 \\-6 & b & 6 \\\end{bmatrix}[/tex]

R₁ ⇒ R₁ + R₂

[tex]\begin{bmatrix}0 & -3 & -3 \\5 & -7 & -4 \\-6 & b & 6 \\\end{bmatrix}[/tex]

C₂ ⇒ C₂ – C₃

[tex]\begin{bmatrix}0 & 0 & -3 \\5 & -3 & -4 \\-6 & b-6 & 6 \\\end{bmatrix}[/tex]

Then the value of b will be

–3[5(b – 6) – (–3)(–6)] = 24

             (5b – 30 – 18) = –8

                                5b = 40

                                  b = 8

Then the correct option is B.

The question was incomplete, but the complete question is given below.

More about the determinant link is given below.

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If The Determinant Of This Matrix Is 24, What Is The Value Of B? A. 4 B. 8 C. 16 D. 20

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Step-by-step explanation:

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x = 2/3

Step-by-step explanation:

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Imagine cutting this shape into two semi-circles and one rectangle.

------------------------------------------------------------------------------------------------------

Each semi-circle has a diameter of 36 metersThe radius would be (36/2) = 18 meters.

--------------------------------------------------------------------

We know the area of a whole circle which is π[tex]r^{2}[/tex]

The formula of area of a semi-circle:  1/2(π[tex]r^{2}[/tex])

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However, since we have two equal semi-circles...we can just put them together and solve for the whole circle's area.

for reference:

1/2(π[tex]r^{2}[/tex]) + 1/2(π[tex]r^{2}[/tex]) = 2/2(π[tex]r^{2}[/tex]) = π[tex]r^{2}[/tex]

----------------------------------------------------------

First, the area of rectangle: length times width = 84 x 36 = 3024 square meters

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how to write 1/2 with a denominator of 10

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Answer:

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Step-by-step explanation:

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The origins of algebra can be traced to the ancient Babylonians, who developed a positional number system that greatly aided them in solving their rhetorical algebraic equations. Algebra has its roots in the theory of quadratic equations which obtained its original and quite full development in ancient Akkad (Mesopotamia) at least 3800 years ago. In Antiq- uity, this earliest Algebra greatly influenced Greeks1 and, later, Hindus. Its name, however, is of Arabic origin.

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Answer:

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Step-by-step explanation:

If you have 100 apples for example and you take away 34 you will end up with 64 apples left.

What are the solutions of this quadratic equation? -3x2 + 1 = 3x - 2

Answers

The answer is B.............,..,,.....

The solutions of the quadratic equation[tex]-3x^2 + 1 = 3x - 2[/tex] are -1/3 and 1.

To solve this equation, we can use the quadratic formula:

[tex]x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]

In this case, the coefficients are a = -3, b = 3, and c = -2. Substituting these values into the quadratic formula, we get:

[tex]x = \dfrac{(-3 \pm \sqrt{3^2 - 4 \cdot -3 \cdot -2})}{2 \cdot -3}[/tex]

[tex]x = \dfrac{(-3 \pm \sqrt{27 + 24})}{-6}[/tex]

[tex]x &= \dfrac{(-3 \pm \sqrt{51})}{-6} \\x&= \dfrac{(-3 \pm 3\sqrt{7})}{-6}[/tex]

[tex]x = -1/3 or 1[/tex]

Therefore, the solutions of the quadratic equation are -1/3 and 1.

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We are given the quadratic equation [tex]-3x^2 + 1 = 3x - 2[/tex]

We can identify the coefficients a, b, and c.

We can substitute these values into the quadratic formula.

We can simplify the expression in the quadratic formula.

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Answer:

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Step-by-step explanation:

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Given:

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4. [tex]\left(x+\dfrac{2}{3}\right)^2+(y+1)^2=24[/tex]

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[tex](x-h)^2+(y-k)^2=r^2[/tex]

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4.

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5.

The equation of the circle is

[tex](x-1)^2+(y+2)^2=28[/tex]

The standard form of this circle is

[tex](x-1)^2+(y-(-2))^2=(\sqrt{28})^2[/tex]

[tex](x-1)^2+(y-(-2))^2=(2\sqrt{7})^2[/tex]

Therefore, the center of the circle is [tex]\left(1,-2\right)[/tex] and the radius of the circle is [tex]2\sqrt{7}[/tex].

6.

The equation of the circle is

[tex](x+12)^2+y^2=\dfrac{3}{64}[/tex]

The standard form of this circle is

[tex](x-(-12))^2+(y-0)^2=(\sqrt{\dfrac{3}{64}})^2[/tex]

[tex](x-(-12))^2+(y-0)^2=\dfrac{\sqrt{3}}{8}[/tex]

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Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given that :

Side links are : 3m, 4m, 5m

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Perimeter 1= (3 + 4 + 5) = 12m

If the side links are multiplied by 4 :

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Answer:

135.15

Step-by-step explanation:

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Is the answer to the problem below correct? If yes, why? If not, what mistake(s) were made in solving the
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Step 1: 12 = -2(x - 4) - 8
Step 2: 12 = -2x - 8 - 8
Step 3: 12 = -2x - 16
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Step 5: 26 = x

Answers

9514 1404 393

Answer:

  x = -6 (correct answer)

  mistakes were made in Step 2 and Step 5.

Step-by-step explanation:

The mistake is made in Step 2, application of the distributive property. This is often a source of error. Here, the error is in signs.

Step 1: 12 = -2(x -4) -8

Step 2: 12 = -2x +8 -8 . . . . . . the correct step 2

Step 3: 12 = -2x . . . . . . . . . . . like terms combined

Step 4: -6 = x . . . . . . . . . . . . . divide by -2

__

Check

  12 = -2(-6 -4) -8 = -2(-10) -8 = 20 -8 = 12 . . . . answer checks OK

__

Comment on other mistake

In the original Step 5, -2 was divided on the right and added on the left. This is a violation of the properties of equality, so guarantees a wrong answer. The same operation must be performed on both sides of the equation.

An additional mistake was made in that the answer was not checked.

a garrison of 300 men had provision of food for 50 days. A reinforcement of 200 men arrived. find the number of days the food will last​

Answers

Answer:

30

Step-by-step explanation:

300 + 200 = 500

500 / 50 = 10

300 / 10 = 30

Please mark as brainliest

Have a great day, be safe and healthy

Thank u  

XD

what is the radius of 28.26 cm

Answers

18.84

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Answer:

18.84

Step-by-step explanation:

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Answer:

Step-by-step explanation:

1 dined esta Ricardo

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On the first 3 of 4 consecutive days, Gary delivered 78, 52, and 70 newspapers. How many newspapers did Gary deliver on the fourth day, if the average number of newspapers he delivered per day during the four-day period was 72?
A.
70
B.
72
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Given the number of newspapers Gary delivered on
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He delivered 88 on 4th day

Find the circumference and area of each circle to the nearest tenth. Use 3.14 for pi. 1.) radius = 1.7 2.) radius = 14 ft 3.) 9 in

Answers

Answer:

Step-by-step explanation:

Circumference of a circle = 2πr

Area of circle = πr²

Here, r = radius of the circle

1). For radius = 1.7 units

Circumference = 2π(1.7)

                         = 2(3.14)(1.7)

                         = 10.676

                         ≈ 10.7 units

Area of the circle = π(1.7)²

                             = 3.14(1.7)²

                             = 9.0746

                             = 9.1 units²

2). For radius = 14 ft

   Circumference of the circle = 2π(14)

                                                 = 28(3.14)

                                                 = 87.92

                                                 ≈ 87.9 ft

    Area of the circle = πr²

                                  = 3.14(14)²

                                  = 615.44

                                  ≈ 615.4 ft²

3). For radius = 9 in.

   Circumference = 2π(9)

                             = 18π

                             = 56.52

                             ≈ 56.5 in

Area of the circle = π(9)²

                             = 81π

                             = 254.34 in²

                             ≈ 254.3 in²

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I 13 I + I -2 I

Answers

Answer:

15

Step-by-step explanation:

Apply absolute rule: | a | = a, a ≥ 0

| 13 | = 13

= 13 + | -2 |

| -2 | = 2

= 13 + 2

= 15


a universally accepted principle which does not require proof.

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A universally accepted principle which does not require proof

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Step-by-step explanation:

1. true

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