If l is parallel to m, find the value of each missing variable.

The dimensions of the rectangular field can be found by solving a system of equations involving the area and perimeter of the field. By substituting one equation into the other and solving for one of the variables, we can then find the values of both dimensions.

Let the length of the rectangular field be L and the width be W. We know that the area of the field is 2275m2, so we have the equation:

L x W = 2275

We also know that the field is enclosed by 200m of fencing, which means that the perimeter of the field is:

2L + 2W = 200

We can use the second equation to solve for one of the variables in terms of the other. For example, we can solve for L as follows:

2L = 200 - 2W

L = 100 - W

Now we can substitute this expression for L into the first equation:

(100 - W) x W = 2275

Expanding the brackets and rearranging, we get a quadratic equation:

W2 - 100W + 2275 = 0

We can solve this quadratic equation using the quadratic formula:

W = (-b ± sqrt(b2 - 4ac)) / 2a

where a = 1, b = -100, and c = 2275. We get two solutions:

W = 25 or W = 75

If W = 25, then L = 100 - W = 75. If W = 75, then L = 100 - W = 25. So the two possible dimensions of the field are 25m x 91m or 75m x 31m.

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The values of x and y in the ordered pair representing a linear function is

The values of x and y will be predicted by finding the equation represented by the ordered pair

The equation of the ordered pair hence a linear equation will be of te form

y = mx + c

m = slope = (72 - 61) / (11 - 23)

m = 11 / -12

m = -11/12 x

Using points (23,61)

y - 61 = -11/12 (x - 23)

y - 61 = -11/12 x - 253/12

y = -11/12 x - 253/12 + 61

y = -11/12 x - 985/12

assuming x = 0

y = -11/12 * 0 - 985/12

y =  - 985/12

values of x and y are (0, -985/12)

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Answer:

its answer is option b 15.625

The Loma Prieta earthquake was approximately X times more intense than an earthquake with a magnitude of Y (rounded to the nearest whole unit).

To determine the intensity ratio between two earthquakes, we need to compare their magnitudes. The intensity of an earthquake increases exponentially with magnitude, following the Richter scale. The difference in magnitude between two earthquakes directly translates to the difference in their intensity.

To calculate the intensity ratio, we can use the formula:

Intensity ratio = 10^((M1 - M2) / 2),

where M1 and M2 represent the magnitudes of the earthquakes. The difference in magnitude is divided by 2 as each unit on the Richter scale represents a tenfold increase in amplitude.

For example, if the Loma Prieta earthquake had a magnitude of 7 and we want to compare it to an earthquake with a magnitude of 5, the intensity ratio would be:

Intensity ratio = 10^((7 - 5) / 2) = 10^1 = 10.

This means that the Loma Prieta earthquake was approximately 10 times more intense than an earthquake with a magnitude of 5.

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Answer:

420 m^2

Step-by-step explanation:

Ancho: x

Largo: 2x + 2

2x + 2(2x+2) = 88

2x + 4x + 4 = 88

6x = 88 - 4

x = 84/6

x = 14

Ancho: 14

Largo : 30

Area: 14 * 30 = 420 metros cuadrados

Answer:

1 5/14

Step-by-step explanation:

Flip it around: 19/14

Turn 19/14 into a mixed number which is:

1 5/14

Answer:

the reciprocal of 14/19 is 19/14 (also can be written as 1.3571)

Step-by-step explanation:

reciprocal of a fraction is the opposite, your numerator becomes the denominator and the denominator becomes the numerator.

the fraction is flipped.

\(y+9-x =\)

\(x=1 \\ y=3\)

\(3 +9 -1=11\)

Answer:

y+9-x = 3+9-1 which would end up equaling: 11

9-1=8+3=11

Answer:

The line AB, with A(Ax, Ay), B(Bx, By) and midpoint M(Mx, My) satisfying:

Ax + Bx = 2Mx

Ay + By = 2My

=>

2 + Bx = 2*1

5 + By = 2*2

=> Bx = 0

=> By = -1

=> B(0, -1)

Hope this helps!

:)

Answer:

B(3, 8 )

Step-by-step explanation:

Using the midpoint formula

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then midpoint is

[ \(\frac{1}{2}\)(x₁ + x₂ ), \(\frac{1}{2}\)(y₁ + y₂ ) ]

let the coordinates of B = (x, y ), then

\(\frac{1}{2}\)(1 + x) = 2 ( multiply both sides by 2 )

1 + x = 4 ( subtract 1 from both sides )

x = 3

and

\(\frac{1}{2}\) (2 + y) = 5 ( multiply both sides by 2 )

2 + y = 10 ( subtract 2 from both sides )

y = 8

Thus

coordinates of B = (3, 8 )

Answer:

A -2,-3, B 0,-3  C -1,1

Step-by-step explanation:

The solution to the given differential equation in implicit form is:

e^(-10y²x - x³ - x²) * (3x²y + x²y²) + g(y) = C

To solve the given differential equation:

(9y³ + 2x¹y) dx - (8xy² + x³) dy = 0

We will use the method of exact differential equations.

Step 1: Check for Exactness

Let M = 9y³ + 2x¹y

Let N = -8xy² - x³

Calculate the partial derivatives:

∂M/∂y = 27y² + 2x¹

∂N/∂x = -8y² - 3x²

Since ∂M/∂y is not equal to ∂N/∂x, the equation is not exact.

Step 2: Multiply by an Integrating Factor

To make the equation exact, we need to find an integrating factor (IF) which is a function μ(x, y) such that μ(x, y) * (M dx + N dy) is an exact differential.

Let's find the integrating factor μ(x, y):

μ(x, y) = e^(∫(∂N/∂x - ∂M/∂y) dx)

μ(x, y) = e^(∫(-8y² - 3x² - 27y² - 2x¹) dx)

μ(x, y) = e^(∫(-10y² - 3x² - 2x¹) dx)

μ(x, y) = e^(-10y²x - x³ - x²)

Step 3: Multiply the Differential Equation by the Integrating Factor

Multiply both sides of the differential equation by the integrating factor μ(x, y):

e^(-10y²x - x³ - x²) * [(9y³ + 2x¹y) dx - (8xy² + x³) dy] = 0

Step 4: Simplify and Integrate

Now we have an exact differential equation. We can find the solution by integrating both sides.

∫[e^(-10y²x - x³ - x²) * (9y³ + 2x¹y)] dx - ∫[e^(-10y²x - x³ - x²) * (8xy² + x³)] dy = C

To integrate these expressions, we need to treat y as a constant when integrating with respect to x, and x as a constant when integrating with respect to y.

After integrating both terms with respect to their respective variables, we obtain:

e^(-10y²x - x³ - x²) * (3x²y + x²y²) + g(y) = C

where g(y) is the constant of integration with respect to y.

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The values of the variables x in the  equations are;

An equation is a mathematical statement that connects two mathematical expression with an equals sign.

x + 9 = 13

Subtracting 9 from both sides of the equation, we get;

x = 13 - 9 = 4

3•x = 12

Dividing both sides of the equation by 3, we get;

x = 12 ÷ 3

x + 5 - 9 = 0

Subtracting (5 - 9) from both sides of the equation, we get;

x = 9 - 5 = 4

2•x + 5 = 17

Subtracting 5 from both sides of the equation, we get;

2•x  = 17 - 5 = 12

2•x = 12

Dividing both sides of the equation by 2, we get;

x = 12 ÷ 2 = 6

5•x - 3 = 17

Adding 3 to both sides of the equation, we get;

5•x = 17 + 3 = 20

5•x = 20

Dividing both sides of the equation by 5, we get;

x = 20 ÷ 5 = 4

x - 3 = 1

Adding 3 to both sides of the equation, we get;

x = 1 + 3

7•x = 35

Dividing both sides of the equation by 7, we get;

x = 35 ÷ 7 = 5

\(\frac{4\cdot x}{4} = 4 \)

Multiplying both sides of the equation by 4 and dividing the result by 4, we get;

x = 4 × 4 ÷ 4 = 4

3•(x + 4) = 15

Dividing both sides of the equation by 3, we get;

x + 4 = 15 ÷ 3 = 5

x + 4 = 5

Subtracting 4 from both sides of the equation, we get;

x = 5 - 4 = 1

8 + x - 5 = 7

Adding 5 and subtracting 8 from both sides of the equation, we get;

x = 7 + 5 - 8 = 4

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Answer:

x = -2

Step-by-step explanation:

6 - 2(x + 6) = 3x +4

6 -2x - 12 = 3x + 4

6 - 12 - 2x = 3x + 4

-6 -2x = 3x +4

-6 - 4 - 2x = 3x + 4 - 4

-10 -2x = 3x

-10 -2x + 2x = 3x + 2x

-10 = 5x

-10 / 5 = 5x/5

x = -2

I hope this helps!!

Answer:

x = -2

Step-by-step explanation:

6 - 2(x + 6) = 3x + 4

Step 1: Multiply -2(x+6)

6 - 2(x + 6) = 3x +4

6 - 2x - 12 = 3x + 4

Step 2: Distribute the left side ("6 - 2x - 12")

-2x - 6 = 3x + 4

Step 3: Add "-2x" to both sides.

-2x - 6 = 3x + 4

+2x         +2x    

-6 = 5x + 4

Step 4: Subtract "4" from both sides.

-6 = 5x + 4

-4      -4      

-10 = 5x

Step 5: Divide both sides by "5" to get x alone.

-10 = 5x

5      5

x = -2

Three glasses of milk or dairy products per day are recommended for adults. One serving of milk is one cup. According to the USDA, a serving of milk-based goods is the amount that corresponds to one cup of milk.

Food items manufactured from (or containing) milk are referred to as dairy products or milk products (also known as lacticinia).

The cow, water buffalo, nanny goat, and ewe are the most popular dairy animals.

Dairy products include staples from Western grocery stores including yogurt, cheese, and butter.

A dairy is a place where dairy products are made .Various amounts of dairy products are consumed worldwide (see consumption patterns worldwide) .

After standardizing the fat content and optional homogenization or pasteurization, milk is produced in a variety of grades with the potential addition of the microorganisms Streptococcus lactis and Leuconostoc citrovorum.

Based on the type of product generated, milk can be divided into a number of distinct categories, including cream, butter, cheese, newborn formula, and yogurt.

Hence, Three glasses of milk or dairy products per day are recommended for adults. One serving of milk is one cup. According to the USDA, a serving of milk-based goods is the amount that corresponds to one cup of milk.

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Answer:

(x+11)(x-11)

Step-by-step explanation:

Hello!

We are given the expression x²-121, and we want to factor it

The expression is a difference of squares expression.

The formula for the difference of squares is written as a²-b² can be factored as (a-b)(a+b)

121 is 11 squared, and x² is x squared

So that means that a=x, and b=11 in this case

Now substitute those values into the formula

a²-b²=x²-121=(x+11)(x-11)

Hope this helps!

Answer:

(x-11)(x+11)

Step-by-step explanation:

x^2 -121

x^2 -11^2

This is the difference of squares  a^2 - b^2 = (a-b)(a+b)

(x-11)(x+11)

Answer:

C) 240ma

Step-by-step explanation:

Part A: JoAnn's team collects 3m magazines.

Part B: The number of magazines (m) = 218 magazines.

Part A: To represent the total number of magazines JoAnn's team has collected, we can set up an equation. We know that JoAnn's team collected 3 times as many magazines as Clarissa's team. Therefore, we can set up the equation 3m = 654, where m represents the number of magazines that Clarissa's team collected. Part B: To solve the equation, we can divide both sides by 3. This gives us m = 218. This means that the number of magazines (m) Clarissa's team collected is 218 magazines.  In conclusion, Clarissa's team collected 218 magazines, and JoAnn's team collected 3 times as many magazines, which is 654 magazines.

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Answer: Plant A and plant B will be the same height at the end of week 12.

Step-by-step explanation: You don't care about this

Answer:

Answer:

its a personal math trainer book

Answer:

System of equations:

J = 2S - 8

5S + 3J = 273

Prices:

Jacket: $46

Shirt: $27

Step-by-step explanation:

Let J = price of jacket.

Let S = price of shirt.

J = 2S - 8

5S + 3J = 273

Since the first equation is already solved for J, use substitution.

5S + 3(2S - 8) = 273

5S + 6S - 24 = 273

11S = 297

S = 27

J = 2S - 8

J = 2(27) - 8

J = 54 - 8

J = 46

Answer:

System of equations:

J = 2S - 8

5S + 3J = 273

Prices:

Jacket: $46

Shirt: $27

Answer:

11 : 4 or 11/4

Step-by-step explanation:

Haley buys 8 apples $3 and 3 bananas for $1.

The total amount she spent is:

3 + 1 = $4

The total number of fruits she bought is:

8 + 3 = 11

The ratio of the total number of pieces of fruits that she buys to the total number of dollars spent is:

11 : 4

It can also be written in fraction form as:

11 / 4

The sum of products (SP) for the given data is 245.

To calculate the sum of products (SP) for the given data, we need to multiply each corresponding pair of values from the X and Y variables and then sum them up.

Here are the calculations for each pair:

Pair 1: (4 * 4) = 16

Pair 2: (3 * 4) = 12

Pair 3: (5 * 8) = 40

Pair 4: (6 * 9) = 54

Pair 5: (1 * 5) = 5

Pair 6: (8 * 6) = 48

Pair 7: (2 * 2) = 4

Pair 8: (7 * 7) = 49

Pair 9: (2 * 2) = 4

Pair 10: (3 * 3) = 9

Pair 11: (2 * 2) = 4

Now, sum up all the products:

16 + 12 + 40 + 54 + 5 + 48 + 4 + 49 + 4 + 9 + 4 = 245

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To find cos 2x, we can use the identity cos 2x = 1 - 2sin²x. Given that tan x = x- and the given interval of 0 < x < π/2, we can find sin x using the relationship sin x = tan x / √(1 + tan²x).

First, we need to solve for x in the equation tan x = x-. Since this equation does not have an algebraic solution, we can use numerical methods or approximation techniques to find an approximate value for x. Once we have an approximate value for x, we can calculate sin x using sin x = tan x / √(1 + tan²x). Finally, we can substitute the value of sin x into the formula cos 2x = 1 - 2sin²x to find the value of cos 2x. Note that the given interval of 0 < x < π/2 ensures that the value of cos 2x will be positive.

Unfortunately, without a specific value or a more precise approximation for x, we cannot provide an exact value for cos 2x.

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Answer:

The answer should be t > s. B is the correct answer.

Complement of set A is the set of all elements in the universal set that are not in the set .

If there is a subset of the universal set (U) called A, then the complement of set A, denoted by the symbol A', is different from the elements of set A and contains the elements of the universal set but not the elements of set A.

In this case, A' = x U: x A.

In other words, the complement of a set A is the difference between the universal set and set A.

For example: U = {1, 2, 3, 5, 7, 9, 15 ,14, 13}, A = {1, 2, 3, 5,7,9}, find the complement of A.

A' = U - A = {1, 2, 3, 5, 7, 9, 15,14,13} - {1, 2, 3, 5,7,9} = {15,14, 13}

A set that contains items from all related sets, without any repetition of elements, is known as a universal set (often symbolised by the letter U). If A and B are two sets, for example, A = 1, 2, 3 and B = 1, a, b, c, then U = 1, 2, 3, a, b, c is the universal set that these two sets belong to.

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Answer:

9

Step-by-step explanation:

i can not really tell what letters are on the picture but i think it is 9

Answer:

The quotient is (x-2)

Step-by-step explanation:

Answer:

456748

Step-by-step explanation:

you 463uy2iuswhk then 13456

Answer:11

Step-by-step explanation: