what is the answer?
4x+3y=19
-3x+y=2

xm = (x1 + x2)/2. Determine the average of the y-coordinates of the end-points to obtain the y-coordinate of the mid-point. ym = (y1 + y2)/2.

You may determine the coordinates of the point that divides a directed line segment into a specific proportion using the ratios of directed line segments calculator.

This article will go over the definition of a directed line segment, the formula for segment partitioning, examples of how to divide a line segment with a specified ratio, and commonly asked questions. a line section.

A line with AB attached to it has two endpoints.

A andwhere B

A\s=B. A directed line segment, such as AB, is one that has a clear direction; it is a line segment that runs from A to B. The directed line segment AB cannot be written as BA, despite the fact that the line segment AB may. This is due to AB being directed.

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The method used to solve a quadratic equation by changing the form of the equation so that the left side is a perfect square trinomial is called completing the square.

The steps to complete the square are as follows:

Move any constant term to the right side of the equation by subtracting it from both sides.

Divide the coefficient of the x term by 2 and square that number, add it to both sides of the equation.

Factor the left side of the equation as a perfect square trinomial.

Take the square root of both sides of the equation, and then add or subtract the value from dividing the coefficient of the x term by 2 to the right side to solve for x.

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A constant is something that doesn't change overtime; a steady flow that has a fixed value in a given situation.

First, we would need to see how much the gym charges each month for a membership, based on the amount he pays every year.

If we know that a year has 12 months, and every year he pays $252, we can use an equation that looks like this:

252 ÷ 12 = 21

The gym charges $21 every month for a membership.

Given, if m = months, and c = total amount he paid, the equation would look like this:

21 × m = c

Therefore, an equation you can use to figure out how much he pays in (m) months is 21 × m = c.

A function from a set X to a set Y in mathematics assigns each element of X exactly one element of Y. T

In order to complete this exercise, you must first evaluate the supplied functions at the locations 1, 2, 3, and 4 (note that these are the x components of the ordered pairs), after which you must rule out all other options.

The above both have the same concept.

The complete question is,

The ordered pairs (1,2),(2,4),(3,8),(4,16), and (5,32) represent a function?

a. y=x^2 b. y=2x c. y=2^x d. y=x+2****** The ordered pairs (1,16),(2,25),(3,36),(4,49), and (5,64) represent a function. What is a rule that represents this function?

a. y=x^2 b. y=x+15 c. y=2(x+3)*** d. y=(x+3)^2

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The value of k at which there are an infinite number of solutions to the equation is -10.

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two expressions 3x + 5 and 14, which are separated by the 'equal' sign. a formula that expresses the connection between two expressions on either side of a sign. Typically, it has a single variable and an equal sign. Like this: 2x - 4 = 2.

Here,

For infinitely many solutions,

a1/a2  =  b1/b2  =  c1/c2

therefore, 10/20 = 5/10 = (-k-5)/(-k)

⇒1/2 = -(k+5)/-(k)

⇒ 1/2  =  k+5/k

⇒  k =  2(k+5)

⇒  k = 2k + 10

⇒ -10= 2k - k

⇒ k = -10

The value of k for which the equation have infinitely many solutions is -10.

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The distance between the two towers is 2285.4 m (2.3 km)

An angle of depression is the angle formed when a given object is viewed below the horizontal plane.

Let the horizontal distance to the base of the first tower be represented by x, so that;

Tan θ = opposite/ adjacent

Tan 37 = x/ 2700

x = Tan 37 * 2700

  = 0.7536*2700

  = 2034.6

x = 2034.6 m

Let the horizontal distance to the base of the second tower be represented by y, so that;

Tan θ = opposite/ adjacent

Tan 58 = y/ 2700

y = Tan 58 * 2700

  = 1.6*2700

  = 4320

y = 4320 m

The distance between the two towers = y - x

                           = 4320 - 2034.6

                           = 2285.4

The distance between the two towers is 2285.4 m (2.3 km).

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64  16/25  0.64

12.5  1/8  0.125

140  1 2/5  1.4

274  2 3/4  2.75

8  2/25  0.08

The rectangular coordinates for the point (6, 5π/6) in polar coordinates are (-3√3, 3)

To convert the given polar coordinates (6, 5π/6) to rectangular coordinates, we can use the following formulas:

x = r cos(θ)

y = r sin(θ)

where r is the distance from the origin to the point, and θ is the angle between the positive x-axis and the line segment connecting the origin to the point.

Plugging in the values, we get:

x = 6 cos(5π/6) = 6 (-√3/2) = -3√3

y = 6 sin(5π/6) = 6 (1/2) = 3

Therefore, the corresponding coordinates for the point q given in polar coordinates as (6, 5π/6) are (-3√3, 3).

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To express the provided information, we can construct an equation system as follows:

What does the term "system of equations" mean?

system of equations, simultaneous equations Algebraic equations involving two or more must be solved cooperatively (i.e., the solution must satisfy all the equations in the system). For a system to have a single solution, the number of equations must equal the number of unknowns.

Let x = Teo's age

Richard's age = 2x + 7 (since Richard is 7 years older than twice Teo's age)

x + (2x + 7) = 37 (the combined age of Richard and Teo is 37)

Solving for x in the first equation and substituting into the second equation:

x + (2x + 7) = 37

3x + 7 = 37

3x = 30

x = 10

So Teo is 10 years old. We can use this information to find Richard's age:

Richard's age = 2x + 7

Richard's age = 2(10) + 7

Richard's age = 27

So Teo is 10 years old and Richard is 27 years old.

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Fractional-reserve banking is a process whereby a bank creates new money by taking deposits from customers and then lending out a portion of those deposits to other customers.


The amount of new money created is determined by the reserve rate—the percentage of deposits held in reserve instead of being loaned out.$1000 x 0.07 = $930

Cost is an expense associated with a purchase or service. It can refer to the monetary value of materials, labor, or other items used in the production of goods or services. It can also refer to the amount of time, effort, or resources required to complete a task. Cost is a fundamental element of any business decision and is typically used to make decisions about pricing, production, and other aspects of operations.

When the reserve rate is 25%, the maximum amount of new money a bank can create from an initial deposit of $1000 is $750. This can be calculated by multiplying the initial deposit by the reserve rate.

$1000 x 0.25 = $750

When the reserve rate is 7%, the maximum amount of new money a bank can create from an initial deposit of $1000 is $930. This can be calculated by multiplying the initial deposit by the reserve rate.

$1000 x 0.07 = $930

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Answer:

V+9

Step-by-step explanation:

more than means to add.

The slope-intercept form of the line is y = -5x + 17.

What is a slope-intercept form?

Using a straight line's slope and the location of its y-axis intersection, the slope-intercept equation can be used to determine the general equation of the line. Y = mx + b is the equation in slope-intercept form.

Here, we have

Given: a slope of -5, and passes through the point (-4,3).

The slope-intercept form of the line : (y-y₁) = m(x-x₁)

Now, we put the given values and we get

m = -5 and point(-4,3).

(y-y₁) = m(x-x₁)

(y-3) = -5(x-(-4))

y - 3 = -5x + 20

y = -5x + 17

Hence, the slope-intercept form of the line is y = -5x + 17.

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Answer:

Step-by-step explanation:

1 mile = 1609.34 meters

The track is 700 meters, or about 1/2 a mile.

Multiply 700 by 4 to find the meters you ran:

700 * 4 = 2800

Divide this by 1609:

2800 / 1609 = 1.74 miles

So, you approximately covered 1.74 miles.

Let me know if this is correct! It may be incorrect if your teacher told you '1600 m = 1 mil', or another conversion factor. I am just going off of memory here!

The measure of each angles in the diagram showing a pentagon are:

m∠1 = 56°

m∠2 = 82°

m∠3 = 62°

m∠4 = 80°

m∠5 = 80°

The sum of the interior angles of a pentagon is equal to (5-2) * 180 degrees = 540°.

x = 540 - 124 - 100 - 100 - 118 (sum of pentagon is equal to 540 degrees)

x = 98°

m∠1 = 180 - 124 = 56°

m∠2 = 180 - 98 = 82°

m∠3 = 180 - 118 = 62°

m∠4 = 180 - 100 = 80°

m∠5 = 180 - 100 = 80°

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Five things about f-¹(x) are discussed below:

A function is said to be an inverse function if its own inverse is represented by the symbol f⁻¹(x).

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Answer:

13 adults; 6 children

Step-by-step explanation:

Let a = number of adults.

Let c = number of children

a + c = 19;

9a + 5.5c = 150

Let's use substitution. Solve the first equation for a.

a = 19 - c

Now substitute 19 - c for a in the second equation and solve for c.

9(19 - c) + 5.5c = 150

171 - 9c + 5.5c = 150

-3.5c = -21

c = 6

Now substitute 6 for c in a = 19 - c and solve for a.

a = 19 - c

a = 13

Answer: 13 adults; 6 children

Answer:

Attached, [tex]p \geq 4[/tex]

To solve, you must isolate the variable. It means moving the variable and it's coefficient to the other side of the equation by itself.

If you multiply, divide, add, subtract, square root, exponent both sides of the equation by the same value, that end value stays the same. That is how you solve for it.

However, if you divide or multiply by a negative number by both sides in an inequality, you must flip the sign.

For example:

> to <

to

Divide -4 on both sides.

[tex]\frac{-16}{-4} \geq \frac{-4p}{-4}[/tex]

[tex]4 \geq p[/tex]

Flip the sign.

[tex]4\leq p[/tex]

[tex]p\geq 4[/tex]

When the line is pointing right, it means the variable is greater than the said number. If the dot is filled in, it means greater than or equal to or less than or equal to. If it is not filled in, it means greater than or less then.

The answer is:

4 ≤ p

Work/explanation:

The inequality is:

[tex]\sf{-16\geqslant-4p}[/tex]

To solve, divide each side by -4. Since we're dividing by a negative number, we will reverse the inequality sign.

We end up with:

[tex]\sf{4\leqslant p}[/tex]

Answer:

length = 8 m

Step-by-step explanation:

note the area of a room cannot be 32 cm²

so you must mean area = 32 m²

let the width be w then length is w + 4

area (A) of a rectangular room is calculated as

A = length × width

given A = 32 , then

w(w + 4) = 32

w² + 4w = 32 ( subtract 32 from both sides )

w² + 4w - 32 = 0 ← in standard form

(w + 8)(w - 4) = 0 ← in factored form

equate each factor to zero and solve for w

w + 8 = 0 ⇒ w = - 8

w - 4 = 0 ⇒ w = 4

but w must be greater than zero, so w = 4

length = w + 4 = 4 + 4 = 8 m

Answer: 45.3

Step-by-step explanation:

The expression B represents the price of each bird house and 75-B represents the number of birdhouses sold

An expression is combination of variables, numbers and operators.

Given that You make 75 birdhouses and sell them for B dollars each.

The predicted sales for different prices, B.'

The expression B(75-B) to show your income from sales for the different prices.

We need to find what the B represents and what the 75-B represents.

The B represents the price of each bird house and 75-B represents the

number of birdhouses sold

Hence, the expression B represents the price of each bird house and 75-B represents the number of birdhouses sold

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Answer:

Step-by-step explanation: Volume of cylinder = 1/3 x π x r x h

= 1/3 x π x 4 x 3

= 1/3 x 12 x π

= 4 x π

= 4 x 3.142

= 12.568

Answer:

m = 36 , n = 108

Step-by-step explanation:

• opposite angles in a parallelogram are congruent

2m = 72 ( divide both sides by 2 )

m = 36

• consecutive angles are supplementary, that is sum to 180°

n and 72 are consecutive angles, then

n + 72 = 180 ( subtract 72 from both sides )

n = 108

Use the sum of 180 degrees to calculate the unknown angle's measurement. If two angles are specified, add the two together before deducting 180 degrees. Divide by two after removing the known angle from 180 degrees if two angles are the same but unknown.

A figure made up of two rays or line segments is called an angle. Angles on items are visible all around us. The vertex of the angle is the place where the two rays that make up the angle meet. The arms of the angle are the two rays that make up the angle.

Acute, right, obtuse, straight, reflex, zero, and full angles are some of the numerous types of angles based on how they are measured.

Complementary angles are any two angles whose sum of the angles is 90. Complementary angles don't always have to be next to each other; they can be be two independent angles with a sum of 90 degrees.

When two angles sum up to 180, they are referred to as supplementary angles. Supplementary angles don't always have to be next to each other; they can be be two different angles that add up to 180 degrees.

The opposing angles created when two lines connect are known as vertical angles. Angles vertically are consistently equal.

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The correct equation for this given condition is,

⇒ m⁸ n

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

The algebraic expression is,

''Raise m to the 8th power, then the product of the result and n.''

Now, We get;

⇒ Raise m to the 8th power

⇒ m⁸

And, The product of the result and n is,

⇒ m⁸ × n

⇒ m⁸ n

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Answer:

9) $2.5 | 10) 120 Bagels

Step-by-step explanation:

For #9, a dozen equals 12, and 6 is half a dozen, so divide 5 by 2 = 2.5 dollars.

For #10, $5 per dozen, 50 ÷ 5 = 10, so 10 x 12 equals 120 bagels.

When a neighboring tower produces a shadow that is 37.75 meters long, you get 125.614, rounded to the closest meter, which is 126 of the tower.

The unit strategy is an approach to problem-solving that involves first figuring out the value of a single unit, then multiplying that value to figure out the required value. Simply described, the unit method is used to extract a single unit value from a specified multiple. For instance, 40 pens would cost 400 rupees, which is equal to the cost of one pen. This procedure might be standardized. one nation. anything has a distinctive element. Its adjoint and reciprocal are equal in terms of mathematics (algebra), linear algebra, mathematical analysis, or mathematics of matrices or operators.

given

3.2/ 1.14=x / 44.75

Cross Mutliply:

44.75 * 3.2=1.14x

Divide:

143.2 / 1.14=x

When a neighboring tower produces a shadow that is 37.75 meters long, you get 125.614, rounded to the closest meter, which is 126 of the tower.

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Domain: [−7, ∞) Inverse: f⁻¹(x) = √x - 7 5.Domain: [5, ∞) Inverse: f⁻¹(x) = √x + 5

A function is a block of code that performs a specific task and is used to execute different processes and operations. Functions allow for code to be reused and make code easier to read and debug. They also make programs more efficient as they allow for smaller chunks of code to be written. Functions are declared with a specific name and parameters, and can be called by other functions. They can also return a value or set of values.

4. Domain: [ -7, ∞ ), Interval notation: (-7, ∞)
Inverse: f^-1 (x) = √(x) - 7

5. Domain: [ 5, ∞ ), Interval notation: (5, ∞)
Inverse: f^-1 (x) = √(x) + 5

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A 1.00 gram sample of uranium will have decomposed into 0.50 grams of U-238 and 0.43 grams of Pb-206 after one half-life by expression .

Mathematicians can multiply, divide, add, or subtract. An expression is structured as follows: Number/variable, mathematical operator, and expression Numbers, variables, and functions make constitute a mathematical expression (such as addition, subtraction, multiplication or division etc.) It is possible to contrast phrases and expressions.

given

U-238 has a half-life of 4.5 109 years. Pb-206 is the final byproduct of the disintegration of U-238.

A 1.00 gram sample of uranium will have decomposed into 0.50 grams of U-238 and 0.43 grams of Pb-206 after one half-life.

Uranium-238 has a half-life of approximately 4.5 billion years, uranium-235 of approximately 700 million years, and uranium-234 of around 250 thousand years.

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C). The set of integers is not a field because there is no multiplicative inverse.

B. A field is a mathematical structure that has two operations: addition and multiplication. The set of integers does have addition and multiplication operations, but not all elements have a multiplicative inverse.

For example, the multiplicative inverse of 2 does not exist in the set of integers. As a result, the integers do not form a field, because one of the field axioms is not satisfied, that is the existence of multiplicative inverse.

Additionally, the set of integers is a commutative ring as it satisfies the commutative and associative laws for addition and multiplication and it has an additive identity and inverse, but not all elements have a multiplicative inverse, hence it can't be a field.

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The Pythagorean theorem is used to determine the length of side c =  12.12cm

According to the Pythagorean theorem, the square of the length of the hypotenuse in a right triangle equals the sum of the squares of the lengths of the other two sides. The hypotenuse is the side that faces the right angle. Consequently, in this instance, c2 = a2 + b2.

given are 20°, 8 cm, and 9 cm.

To determine c's length

replacing the specified values: c^2 = 8^2 + 9^2

c = √(8^2 + 9^2) = √(64 + 81) = √(145)\sc = 12.12 cm

Therefore, side C is 12.12 cm long.

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Answer:

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