X-y=0 and 5x-2y=6 solve by elimination

The distance formula can be used to find the diameter of a circle is Diameter = √(x−h)²+(y−k)².

The distance formula which is used to find the distance between two points in a two-dimensional plane is also known as the Euclidean distance formula. On 2D plane the distance between two points (x₁, y₁) and (x₂, y₂) is Distance = √[(x₂-x₁)²+(y₂-y₁)²].

A line segment connecting two points on the circle and going through the center is called a diameter of the circle.

Use the distance formula to find the equation of the circle.

√(x₂−x₁)²+(y₂−y₁)²=d.

Substitute (x₁, y₁)=(h, k),(x₂, y₂)=(x, y) and d=r

Where, (h, k) is one point of line on circle and (x, y) is another point of line on circle which passes through the circle

Diameter = √(x−h)²+(y−k)²

Therefore, the distance formula can be used to find the diameter of a circle is Diameter = √(x−h)²+(y−k)².

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Answer:

A = 43.01

Step-by-step explanation:

To find the area of a circle use this formula

"r" representing the radius

Plug in . .

Round

A = 43.01

Answer:

43.0 ft² (nearest tenth)

Step-by-step explanation:

\(\boxed{\begin{minipage}{3.9 cm}\underline{Area of a circle}\\\\$A=\pi r^2 $\\\\where $r$ is the radius.\\\end{minipage}}\)

Given:

Substitute the given radius into the formula for area:

\(\implies A= \pi (3.7)^2\)

\(\implies A = 13.69\pi\)

\(\implies A = 43.008403427644...\)

Therefore, the area of the circle is 43.0 ft² (nearest tenth).

Suppose after the shock, the economy temporarily stays at the short-run equilibrium, then the output gap Y2−Y1 is: B< (less than)As the output gap measures the difference between the actual output (Y2) and potential output (Y1), when the output gap is less than zero, that is, the actual output is below potential output.

The inflation gap π2−π1 is 0. C= (equal)When the inflation gap is zero, it means that the current inflation rate is equal to the expected inflation rate.12. Suppose there is no government intervention, the economy will adjust itself from short-run equilibrium to long-run equilibrium, at such long-run equilibrium, output gap Y3−Y1 is 0. C= (equal). As the long run equilibrium represents the potential output of the economy, when the actual output is equal to the potential output, the output gap is zero.13.

The inflation gap π3−π1 is 0. C= (equal) Again, when the inflation gap is zero, it means that the current inflation rate is equal to the expected inflation rate.14. (1 point) Suppose the Fed takes price stability as their primary mandates, then which of the following should be done to address the shock. B monetary tightening When the central bank takes price stability as its primary mandate, it aims to keep the inflation rate low and stable. In the case of a positive shock, which can lead to higher inflation rates, the central bank may implement a monetary tightening policy to control the inflation.

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Yes, the chain rule in calculus involves multiplying the derivative of the outside function by the derivative of the inside function.

The chain rule is a fundamental concept in calculus that allows us to find the derivative of a composite function. When a function is composed of two or more functions nested inside each other, the chain rule enables us to differentiate the composite function by taking into account the derivatives of the individual functions.

Mathematically, if we have a composite function f(g(x)), where g(x) represents the inside function and f(u) represents the outside function, the chain rule states that the derivative of the composite function is given by the product of the derivative of the outside function f'(u) and the derivative of the inside function g'(x). In other words, it is the prime of the outside function multiplied by the prime of the inside function.

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Step-by-step explanation:

The new square has a scale factor of 50%, which means that its dimensions will be 50% of the original dimensions.

The original dimensions were 12 inches long and 12 inches wide, so the new square would be 6 inches long and 6 inches wide.

The value of the sample proportion of people from Vermont who exercised for at least 30 minutes a day 3 days a week is 0.653, which is equivalent to 65.3%.

It is important to note that this value is based on a random sample of respondents and may not necessarily represent the true proportion of the entire population of Vermont who exercise regularly.

To find the sample proportion of people from Vermont who exercised for at least 30 minutes a day, 3 days a week, follow these steps:

1. Convert the given percentage (65.3%) to a decimal by dividing by 100: 65.3 / 100 = 0.653
2. Multiply the decimal by the number of participants in the random sample (100 respondents): 0.653 * 100 = 65.3
3. Round the result to the nearest whole number to find the number of participants who exercised: 65.3 ≈ 65
4. Divide the number of participants who exercised (65) by the total number of participants in the random sample (100): 65 / 100 = 0.65

This means that out of the 100 participants sampled from Vermont, 65.3 of them answered "yes" to the question of whether they had exercised for more than 30 minutes a day for three days out of the week.

The value of the sample proportion of people from Vermont who exercised for at least 30 minutes a day, 3 days a week is 0.65 or 65%.

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Answer:

the 2nd one

Step-by-step explanation:

thats what I think sorry if im wrong have a nice day! p.s I remember doing this!

Answer:

Step-by-step explanation:

\((4 + 7) \times 3 \\ = (4 \times 3) + (7 \times3) \\ = 12 + 21 \\ = 33 \\ \)

Answer:

arithmetic

Step-by-step explanation:

an arithmetic sequence is when you add or minus the same number

Answer:

the answer to this question is that the sequence is arithmetic sequence

Step-by-step explanation:

because the difference between the consecutive terms is consecutive terms is constant that sequence is arithmetic sequence. And is the sequence the numbers are increasing with +1 increment.

Answer:

Step-by-step explanation:

It is an arithmetic sequence with common difference = -6

32nd term = 311 - 31(6) = 125

Measure of angle:

∠A  = 36.86°

∠B = 90°

∠C = 53.13 °

Measure of side ,

AB =  28

BC = 21

CA = 35

Given triangle ABC.

Right angled at B.

Now, using trigonometric ratios to find angle A , B , C .

Right angled at B : ∠B = 90°

Angle A,

SinA = 21/35

∠A = 36.86

Angle C,

SinC = 28/35

∠C = 53.13

Now measures of side.

To find the length of side use sine rule .

Sine rule:

a/sinA = b/sinB = c /sinC

a = opposite side of angle A .

b = opposite site of angle B .

c = opposite side of angle C.

AB = 28

BC = 21

CA = 35

Hence the sides and angles of the triangles are measured .

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1- SHM stands for Simple Harmonic Motion.

In SHM, an object oscillates back and forth about an equilibrium position, with a motion that can be described by a sinusoidal function. The symbols commonly used in SHM are:

y: Displacement from the equilibrium position

t: Time

k: Spring constant or restoring force constant

m: Mass of the object

c₁ and c₂: Constants determined by initial conditions

2- Hooke's law relates the force exerted by a spring to the displacement of the object attached to it. It is represented by the second-order differential equation my" + ky = 0, where m is the mass of the object and k is the spring constant. The solution to this equation is given as y = c₁ cos(√(k/m) * t) + c₂ sin(√(k/m) * t). To determine the values of c₁ and c₂, initial conditions are needed.

3- If the initial conditions are y(0) = 0 and y'(0) = 0, which means the object starts at equilibrium with zero displacement and zero velocity, we can substitute these values into the solution equation and solve for c₁ and c₂. In this case, we find that c₁ = 0 and c₂ = 0.

4- To show that the sum of the solutions c₁ cos(w₀t) and c₂ sin(w₀t) is also a solution of the SHO (Simple Harmonic Oscillator) differential equation, we substitute the sum into the differential equation and demonstrate that it satisfies the equation. By taking the derivatives and substituting, we can show that the sum of the solutions satisfies the equation, thus confirming that it is also a solution.

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We have two sets from which we get the coordinates of the ordered pair. We know that a set of ordered pair is called a relation, and that the set from which the first coordinate comes from is the domain while the set where the second coordinate comes from is called the range.

Thus, the given set is a relation.

Also we know that there are special kinds of relations--those whose first coordinate only has one corresponding second coordinate. They are called functions.

In this set, -6 corresponds to 3, 0 corresponds to 7, and 6 corresponds to 5. There is a one-to-one relation.

Therefore, this set is also a function.

The answer is the second option--it is both a function and a relation.

The finance charge on May 3 using the previous balance method is $22.58 (rounded to the nearest cent) and the new balance on May 3 is $1,350.20.

a) To calculate the finance charge on May 3, using the previous balance method, the formula to be used is as follows:Finance Charge = Previous Balance x Monthly RateFinance Charge = $1,327.62 x 0.017Finance Charge = $22.58The finance charge on May 3, using the previous balance method is $22.58 (rounded to the nearest cent).b) To calculate the new balance on May 3, we need to add the finance charge of $22.58 to the previous balance of $1,327.62.New Balance = Previous Balance + Finance ChargeNew Balance = $1,327.62 + $22.58New Balance = $1,350.20The new balance on May 3 is $1,350.20.

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Answer:

Step-by-step explanation:

So first you do y=z and1+2=3 so 6=y=-0 is your answer :)

Answer:

All polygons have straight lines

Step-by-step explanation:

Reading a list of data and answering questions related to comparisons, percentages, and proportions involves analyzing the given information and calculating relevant metrics based on the data.

To determine "how many more" or the difference between two values, you subtract one value from the other. For example, if you are comparing the sales of two products, you can subtract the sales of one product from the other to find the difference in sales.

To calculate "what percentage of" a specific value, you divide the specific value by the total and multiply it by 100. This will give you the percentage. For instance, if you want to find the percentage of customers who rated a product positively out of the total number of customers, you divide the number of positive ratings by the total number of customers and multiply it by 100.

To determine "what proportion of" a group falls into a specific category, you divide the number of individuals in that category by the total number of individuals in the group. This will give you the proportion. For example, if you want to find the proportion of customers who prefer a certain brand out of the total number of customers surveyed, you divide the number of customers preferring that brand by the total number of customers.

By applying these calculations to the given data, you can provide accurate answers to questions regarding comparisons, percentages, and proportions.

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Answer: yes

Step-by-step explanation:

there is a 50% chance of landing on heads which means that you are statistically likely to have cereals for half a month and toast for half a month. half a month is usually 15 days so your friend is correct

please mark brailiest

Answer:

a.y=6x+13 has a greater rate of change

We can see that the signs of the coefficients are different for the terms with x, so the two products are not equal.

What is Algebraic expression ?

In mathematics, an algebraic expression is a combination of variables, constants, and mathematical operations, such as addition, subtraction, multiplication, and division, that represents a quantity or a relationship between quantities.

Part a:

To find the product of (3x – 4) and (5\(x^{2}\)  – 2x + 6), we need to distribute each term in the first expression to each term in the second expression, and then combine like terms.

(3x – 4) (5\(x^{2}\) – 2x + 6)

= 3x(5\(x^{2}\) ) – 3x(2x) + 3x(6) – 4(5\(x^{2}\) ) + 4(2x) – 4(6)

= 15\(x^{3}\)– 6\(x^{2}\)  + 18x – 20\(x^{2}\)  + 8x – 24

= 15\(x^{3}\) – 26\(x^{2}\)  + 26x – 24

Therefore, the product of (3x – 4) and (5\(x^{2}\)  – 2x + 6) is equal to 15x^3 – 26\(x^{2}\)  + 26x – 24 in standard form.

Part b:

No, the product of (3x – 4) and (5\(x^{2}\)  – 2x + 6) is not equal to the product of (4 – 3x) and (5\(x^{2}\)  – 2x + 6).

(4 – 3x) (5\(x^{2}\)  – 2x + 6)

= 4(5\(x^{2}\) ) – 4(2x) + 4(6) – 3x(5\(x^{2}\) ) + 3x(2x) – 3x(6)

= 20\(x^{2}\) – 8x + 24 – 15\(x^{3}\) + 6\(x^{2}\)  – 18x

= -15\(x^{3}\)+ 26\(x^{2}\)  - 26x + 24

Therefore, We can see that the signs of the coefficients are different for the terms with x, so the two products are not equal.

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Answer:

8,5 feet

Step-by-step explanation:

The equation of the form

x² + y² = (r)²

Is the equation of the circumference

We have for the pool:

x²  +  y²  = 2500      ⇒  x²  +  y²  = (50)²

And for the outside edge of the footpath

x²  +  y²  = 3422,25  ⇒  x² + y²  = (58,5)²

So we obtain the radius of each circumference

For the outside edge of the pool  r₁  = 50 feet

For the outside edge of the footpath r₂ = 58,5  feet

Then the width of the footpath is  58,5  - 50  =  8,5 feet

The appropriate response will be (A). The first equation of motion gives the link between "velocity and time."

Equation: A statement that two variable or integer expressions are equal. In essence, equations are questions, and the motivation for the development of mathematics has been the systematic search for the answers to these questions.

An equation is a mathematical representation of two equal objects, one on each side of a "equals" sign. We can solve challenges in our daily lives with the aid of equations. Most of the time, we look for help with pre algebra to resolve problems in real life. Pre-algebra concepts contain the fundamentals of mathematics.

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The x- coordinate of the vertex P is  -4  and the y coordinate is -3. The coordinates of the image of vertex P is thus,  (-4, -3).

Coordinates are numbers describing the position of a point or shape in a line or particular space. We can represent a line or shape in the space between number lines with both positive and negative coordinates.

The vertical axis in the number line is called y-axis and the horizontal axis is called the x- axis. The coordinate of a point is written as (x, y). The x, y represents the numbers on x-axis and y -axis touched at which the point lies in the graph.

For the given vertex P, the vertex lies on the point -4 on x-axis and on -3 in y axis. Hence, the coordinate of P is (-4, -3).

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Answer:

Step-by-step explanation:

-3h + 3z = 6

  h -   z = 3

-3h + 3z = 6

-3h - 3z = 9

0 ≠ 15

no solution

Answer:

x=0

I used phone math!!!!!!!!

The given equation according to the BODMAS become 39 in the simplified form.

According to the statement

we have to solve the given equation and simplify this.

So, For this purpose,

The given information is:

The equation is 40-32÷8+5-2.

Here to solve the equation we use the BODMAS rule:

So, The BODMAS rule states that mathematical expressions with multiple operators need to be solved from left to right in the order of BODMAS.

So, the equation is

40-32÷8+5-2.

Firstly we divide 32 and 8 according to the rule.

So,The equation become

40-4+5-2.

Then we add the terms then the equation become:

40+1-2.

Then again we add the terms then the equation become:

41-2.

Then we subtract the term then

39.

So, The given equation according to the BODMAS become 39 in the simplified form.

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The line integral of F over the unit circle C is zero:

∮C F · dr = ∬D curl(F) · dA = 0

Hence, the answer is zero.

To use Green's theorem to evaluate the line integral of the given function around the unit circle, we need to first find its equivalent double integral over the region enclosed by the circle.

Green's theorem relates the line integral of a vector field over a closed curve to the double integral of the curl of the same vector field over the region enclosed by the curve.

Let's consider the vector field \(F = (0, 0, xy^2).\)

Its curl is given by:

curl(F) = (∂Q/∂x - ∂P/∂y) i + (∂P/∂x + ∂Q/∂y) j + (∂R/∂x - ∂Q/∂y) k

= (0 - 0) i + (0 + 0) j + (0 - 2xy) k

= -2xy k

Here, P = 0, Q = 0, and\(R = xy^2\) are the components of the vector field F.

Now, we can apply Green's theorem to evaluate the line integral of F over the unit circle C:

∮C F · dr = ∬D curl(F) · dA

where D is the region enclosed by the unit circle C and dA is the area element in the xy-plane.

Since the unit circle is given by\(x^2 + y^2 = 1,\)  we can use polar coordinates to evaluate the double integral:

∬D curl(F) · dA = ∬D (-\(2r^3\) sin θ cos θ) r dr dθ

= -2 ∫[0,2π] ∫[0,1] \(r^4\)sin θ cos θ dr dθ

= 0 (since the integrand is odd in sin θ).

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Answer:

10

Step-by-step explanation:

5x - 17 = 3x + 3 (vertically opposite angles)

5x - 3x = 3 + 17

2x = 20

x = 20/2

x = 10

hope it helps you!