2: Find the slope:

XIT

Y

- 1 1 -12

1 -8

3

Yo

5

e.

Answer:

I believe the answer is 49°

The solution to the linear system is unique solution which is  x₁ = 1/6, x₂ = 3/2, and x₃ = 17/6.

The correct answer is option  A.

To solve the given system of linear equations using elementary row operations and back substitution, let's start by representing the augmented coefficient matrix:

[1  -4  5  |  23]

[2   1   1  |  10]

[-3  2  -3 |  -23]

We'll apply row operations to transform this matrix into echelon form:

1. Multiply Row 2 by -2 and add it to Row 1:

[1  -4   5   |  23]

[0   9   -9  |  -6]

[-3  2  -3  |  -23]

2. Multiply Row 3 by 3 and add it to Row 1:

[1  -4  5   |  23]

[0   9  -9  |  -6]

[0   -10 6  |  -68]

3. Multiply Row 2 by 10/9:

[1  -4  5    |  23]

[0   1   -1   |  -2/3]

[0   -10 6  |  -68]

4. Multiply Row 2 by 4 and add it to Row 1:

[1  0   1   |  5/3]

[0  1   -1  |  -2/3]

[0  -10 6  |  -68]

5. Multiply Row 2 by 10 and add it to Row 3:

[1  0   1   |  5/3]

[0  1   -1  |  -2/3]

[0  0   -4  |  -34/3]

Now, we have the augmented coefficient matrix in echelon form. Let's solve the system using back substitution:

From Row 3, we can deduce that -4x₃ = -34/3, which simplifies to x₃ = 34/12 = 17/6.

From Row 2, we can substitute the value of x₃ and find that x₂ - x₃ = -2/3, which becomes x₂ - (17/6) = -2/3. Simplifying, we get x₂ = 17/6 - 2/3 = 9/6 = 3/2.

From Row 1, we can substitute the values of x₂ and x₃ and find that x₁ + x₂ = 5/3, which becomes x₁ + 3/2 = 5/3. Simplifying, we get x₁ = 5/3 - 3/2 = 10/6 - 9/6 = 1/6.

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18 root

2

Step-by-step explanation:

In this question imagine there is no y

It will be 10 root2 +5 root2 +3 root 2 it will be 18 root 2

Answer:

D

Step-by-step explanation:

To find circumference, it's 2(pi)r

Twice the radius is the diameter, so it's 10/2 = 5

2*3.14*5

Since you don't multiply pi, it's 10(pi)

Answer:

D. 10π

Step-by-step explanation:

C= 2πr

r being the radius of the circle

r= d/2

= 10/2 = 5

. C= 2πr

C= 2×π×r

= 2×π×5

= 10π

Answer: 9/16

Step-by-step explanation:

Let \(x\) be Romeo's delay and \(y\) be Juliet's delay (both in hours).

Then, we need to calculate the area not bounded by the inequalities \(y\leq x+0.25\) and \(y \geq x\) in the unit square with vertices \((0,0), (0,1), (1,0), (1,1)\).

This area turns out to be 9/16.

The dual for the given linear programming problems are as follows:

(i) Minimize Z' = 10a + 12b Subject to: a + 7b ≥ 3 2a + 3b ≥ 4 a + 9b ≥ 5 a, b ≥ 0.

(ii) Maximize Z' = 5a + 6b + 2c Subject to: 3a + 2b + c ≤ 1 4a + 6b + c ≤ 2 a + b ≤ 0 a, b, c ≥ 0.

In the first problem, we have a maximization problem with three variables (x, y, z) and two constraints. The dual formulation involves minimizing a new objective function with two variables (a, b) and four constraints. The coefficients of the variables and the constraints are transformed according to the rules of duality.

The primal problem is:

Maximize Z = 3x + 4y + 5z

Subject to:

x + 2y + z ≤ 10

7x + 3y + 9z ≤ 12

x, y, z ≥ 0

To find the dual, we introduce the dual variables a and b for the constraints:

Minimize Z' = 10a + 12b

Subject to:

a + 7b ≥ 3

2a + 3b ≥ 4

a + 9b ≥ 5

a, b ≥ 0

In the second problem, we have a minimization problem with two variables (y1, y2) and three constraints. The dual formulation requires maximizing a new objective function with three variables (a, b, c) and four constraints. Again, the coefficients and constraints are transformed accordingly.

The primal problem is:

Minimize Z = y1 + 2y2

Subject to:

3y1 + 4y2 > 5

2y1 + 6y2 ≥ 6

y1 + y2 ≥ 2

To find the dual, we introduce the dual variables a, b, and c for the constraints:

Maximize Z' = 5a + 6b + 2c

Subject to:

3a + 2b + c ≤ 1

4a + 6b + c ≤ 2

a + b ≤ 0

a, b, c ≥ 0

The duality principle in linear programming allows us to find a lower bound (for maximization) or an upper bound (for minimization) on the optimal objective value by solving the dual problem. It provides useful insights into the relationships between the primal and dual variables, as well as the economic interpretation of the problem.

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\(in \: pounds \\ 12 \times 288 = 3456 \: pounds\)

\(1 \: kilo = 2.2046 \: pounds\)

\(x \: kilos = 3456 \: pounds\)

\(x = \frac{3456}{2.2046} = 1567.61 \: kilos\)

Answer:

The answer is 21

Step-by-step explanation:

6+6 bc the other side is the same as the one that has 6. 6+6+9=21

Answer:

1/12 and 3/10

Step-by-step explanation:

1/8 x 2/3

reduce the numbers

1/4 x 1/3

 1/12

4/5 x 3/8

reduce numbers

1/5 x 3/2

3/10

The probability of selecting three red ribbons at random from the basket is approximately 2.27%.

In order to calculate the probability of selecting three red ribbons from a basket containing 9 blue, 7 red, and 6 white ribbons, we need to use the concept of combinations.

A combination represents the number of ways to choose items from a larger set without considering the order.

First, let's determine the total number of ways to choose 3 ribbons from the 22 ribbons in the basket (9 blue + 7 red + 6 white). This can be calculated using the combination formula: C(n, k) = n! / (k!(n-k)!), where n is the total number of items and k is the number of items to choose. In this case, n = 22 and k = 3. So, C(22, 3) = 22! / (3!(22-3)!) = 22! / (3!19!) = 1540 possible combinations.

Now, let's find the number of ways to choose 3 red ribbons from the 7 red ribbons available. Using the combination formula again, C(7, 3) = 7! / (3!(7-3)!) = 7! / (3!4!) = 35 combinations.

Finally, to calculate the probability of choosing three red ribbons, we'll divide the number of ways to choose 3 red ribbons by the total number of ways to choose any 3 ribbons: Probability = 35/1540 ≈ 0.0227, or approximately 2.27%.

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Answer:

y= 3x +2

Step-by-step explanation:

-10x-30y = 6

-30y = 10x +6

y = -1/3x - 1/5

m = -1/3 perpendicular slope would be 3

2x+9y = 18

2(0) +9y = 18

y = 2 = y intercept

y = 3x +2

An expression that can be used to represent how much larger the area of the vegetable garden is in comparison to the area of the flower garden is 11x^2 + 5x + 2

In this question we have been given Sue Lynn has two gardens in her backyard, one for flowers and one for vegetables.

The flower garden has an area which is represented by the expression 9x^2 - 12x- 5.

The vegetable garden has an area which is represented by the expression 20x^2 - 7x - 3.

We need to find an expression that can be used to represent how much larger the area of the vegetable garden is in comparison to the area of the flower garden.

Consider, (20x^2 - 7x - 3) - (9x^2 - 12x- 5)

= 20x^2 - 9x^2 -7x +  12x - 3 + 5

= 11x^2 + 5x + 2

Therefore, the required expresion is: 11x^2 + 5x + 2

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The Angle e = Angle a, as they are alternate angles,

Angle f = Angle c, as they are alternate angles,

Angles a, b, and c add up to 180° as they are on a straight line.

Therefore, angles e, f, and b also add up to 180°.

A transversal is a line that, at two different locations in the geometry, cuts through two lines in the same plane. Various sorts of angles in pairs, including successive internal angles, corresponding angles, and alternate angles, are produced by a transversal intersection with two lines.

Given two lines are parallel and intersect by two transversal and they form a triangle between the lines,

from the diagram alternate angles are,

∠e and ∠a

∠f and ∠c

so ∠e = ∠a and ∠f = ∠c because they are alternate angles,

a straight line makes an angle of 180°

so the sum of Angles a, b, and c are 180°.

and the sum of the angles of a triangle is 180°

the sum of angles e, f, and b is equal to 180°.

Hence ∠e = ∠a and ∠f = ∠c,

the sum of Angles a, b, and c are 180°,

the sum of angles e, f, and b is equal to 180°.

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Answer:

B) 5y ( x-2 )

Step-by-step explanation:

= 5xy -10y

= 5y ( x-2 )

Answer:

x = 41/6 and y = 13/9

Step-by-step explanation:

6x + 5 = 46

6x = 46 - 5

6x = 41

x = 41/6

2(41/6) + 3y = 18

(2 · 41)/6 +3y = 18

82/6 + 3y = 18

41/3 + 3y = 18

3y = 18 - 41/3

3y = 13/3

3y = (13/3)/3

y = 13/(3 · 3)

y = 13/9

Answer:

ok i will look at it :)

Step-by-step explanation:

Answer:

Ok, I will try!!! :D

What is your recent question, btw....you most recent is ELA

Answer:

Step-by-step explanation:

The list of numbers seems to be decreasing, from biggest to smallest.

But... The 8 isn't less than 2, it should be more!

So 8 should be the circled number.

The 8 should be put before the -2, because 8 > 2

Answer:

B

Step-by-step explanation:

1 can only be divided by one other integer except1, hence it is not a prime number.

Any natural number higher than 1 that is not the sum of two smaller natural numbers is referred to be a prime number. A composite number is a natural number greater than one that is not prime.

Given this definition, 1 is not a prime number because it can only be divided by one other integer, which is 1 itself.

Based on the explanation above, we can then conclude that 1 is not a prime number.

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Given:

The given vector is w.

Required:

We need to draw 3w.

Explanation:

Use the Pythagorean theorem to find the magnitude AB.

Let the origin be (0,0).

Point A is (0,4) and point B is (3,0).

The magnitude of AB is (3-0,0-4)

Multiply the equation by 3 to find 3w.

Consider any point on the graph and take it as the origin (0,0) and mark (9,-12) and joint them as follows.

Final answer:

The improper integral ∫ 1/x dx from 0 to ∞ is divergent. The improper integral ∫ 1/x dx from 0 to ∞ represents the integral of the function 1/x with respect to x over the interval from 0 to positive infinity.

To determine whether this integral is convergent or divergent, we need to evaluate it.

Let's split the integral into two parts: from 0 to 1 and from 1 to ∞.

∫(0 to 1) 1/x dx

This part of the integral is a finite integral, and it can be evaluated as:

∫(0 to 1) 1/x dx = [ln|x|] (0 to 1) = ln(1) - ln(0)

However, ln(0) is undefined, so this part of the integral does not converge.

Now let's evaluate the second part of the integral:

∫(1 to ∞) 1/x dx

This integral represents the area under the curve of the function 1/x from 1 to ∞. This is a well-known integral and is known to diverge. As x approaches infinity, the value of 1/x approaches 0, but it never reaches 0. Therefore, the area under the curve keeps increasing indefinitely, and the integral diverges.

Since either part of the integral diverges, the overall integral ∫ 1/x dx from 0 to ∞ is divergent.

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Answer:

B C and E

Step-by-step explanation:

Answer:

I believe the answer is B, C, E.

Answer:

7n-3

Step-by-step explanation:

You find the difference, 11-4 is 7, 18-11 is 7 ect. This is how we get the 7n. And because it is a linear sequence, we won't have to worry about finding the second difference. So then you get 7 and minus it from the first term. 4-7 is -3. Which is were we get the last part of our equation from. And we can checn this by inputting the number 1, for the first term. 1 times 7 is 7, -3 which is 4. This shows it is right and your answer is 7n-3.

The sine of 0 radians is 0.

In trigonometry, the sine of an angle is defined as the ratio of the length of the side opposite to the angle to the length of the hypotenuse of a right-angled triangle.

When the angle is 0 degrees (or 0 radians), the opposite side has a length of 0, and thus the ratio is also 0. Therefore, the sine of 0 radians is 0.

In a circle with the radius r, the horizontal axis x, and the vertical axis y, 0 is the angle formed by the two sides x and r; r moving counterclockwise is the positive angle.

Note that, the sine function maps an angle to a value which is between -1 and 1, with a periodic nature, meaning that the values repeat in a cycle as the angle increases.

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Answer:

The component form of the vector that represents the velocity of the airplane is \((74.1 i , \ 11.73j)\ mph\)

Step-by-step explanation:

Given;

velocity of the airplane, v = 75 mph

direction of the plane, θ = 9°

The vertical component of the velocity is given by;

\(V_y = vsin\theta\\\\V_y = (75)(sin \ 9^0)\\\\V_y = 11.73 \ mph\)

The horizontal component of the velocity is given by;

\(V_x = vcos \theta\\\\V_x = (75)(cos9^0)\\\\V_x = 74.1 \ mph\)

Therefore, the component form of the vector that represents the velocity of the airplane is given as;

\((V_x , \ V_y) = (74.1 , \ 11.73)\ mph\)

The function that relates the area of the pepper patch to the length of the

tomato patch in Melisa's garden is a quadratic function.

The correct matches are;

By definition of the terms, we have;

The range of a function is the set of values of the possible outcomes based on the set of inputs.

The domain of a function is the set of all possible values of the input variable, x.

The y-intercept is the value of the function when the value of x = 0

The x-intercept is the value of the input variable, x, that gives an output of 0.

The probable function that represents the area of the bell pepper patch, obtained from a similar question posted online is presented as follows;

p(x) = -0.5·x² + 6·x

Where:

p(x) = The area of the bell pepper patch

x = The length of the tomato patch

The domain is therefore;

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Answer: There is no proof that the population increased by 10% every year. it is possible the first year increased by 8 the first year then 12 the next, giving a 20% increase.

Extra: the answer the the first and second year is x you must figure the x out if you want the answer to those

Answer:

You asked to solve questions 3 and 5

Since CD = EF,

MN = NP as their perpendicular bisectors are of same length.