If y=3, then -3+y2 =

Answer:

Step-by-step explanation:

a). There are 8 points in the figure attached.

b). There are 9 lines in the given figure.

c). There are 5 planes in the figure attached.

d). Three collinear points are D,G and F.

e).  Four co-planar points are G, F, H and C.

f). Intersection of planes ABC and ABE is the common line AB.

g). Intersection of planes BCH and DEF is the common line EF.

h). Intersection of AD and DF is a point D.

Distance = 13 units

Point A: (8, -7)

Point B: (-4, -2)

\(\sqrt{(8 + 4)^{2} + (-7 + 2)^{2} }\)

\(\sqrt{(12)^{2} + (-5)^{2} }\)

\(\sqrt{144 + 25 }\)

\(\sqrt{169}\)

\(13\)

Answer:

\(\boxed {d = 13}\)

Step-by-step explanation:

Use the Distance Formula to help you find the distance between the two following points:

\(d = \sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}}\)

(where \((x_{1}, y_{1})\) represents the first point and \((x_{2}, y_{2})\) represents the second point)

-Apply the two following onto the formula:

\((x_{1}, y_{1}) = (8, -7)\)

\((x_{2}, y_{2}) = (-4, -2)\)

\(d = \sqrt{(-4 - 8)^{2} + (-2 + 7)^{2}}\)

-Solve for the distance:

\(d = \sqrt{(-4 - 8)^{2} + (-2 + 7)^{2}}\)

\(d = \sqrt{(-12)^{2} + 5^{2}}\)

\(d = \sqrt{144 + 25}\)

\(d = \sqrt{169}\)

\(\boxed {d = 13}\)

Therefore, the distance is \(13\).

Answer:

you'd have to know that the corners are at 90 degree angles. as is, it could be a parallelogram

Answer:

2

Step-by-step explanation:

Answer:

(x + 3)(x + 2) = 9

x^2 + 5x + 6 = 9

x^2 + 5x = 3

Step-by-step explanation:

length * width = area

(x + 3)(x + 2) = 9

Expand

x^2 + 5x + 6 = 9

Subtract 6 from both sides

x^2 + 5x = 3

a.we get, `A = √(2α³/π)`.

b.`⟨H⟩ = (3/4)hω - (h²/4ma²)` where `a = α/√(mω/h)`.

c.we can say that the variational principle is valid in this case.

(a) Let's find the normalization constant A.

We know that the integral over all space of the absolute square of the wave function is equal to 1, which is the requirement for normalization.  `∫⟨ψ|ψ⟩dx= 1`

Hence, using the given trial wavefunction, we get, `∫⟨ψ|ψ⟩dx = ∫ |A/(x^2+α²)|²dx= A² ∫ dx / (x²+α²)²`

Using a substitution `x = α tan θ`, we get, `dx = α sec² θ dθ`

Substituting these in the above integral, we get, `A² ∫ dθ/α² sec^4 θ = A²/(α³) ∫ cos^4 θ dθ`

Using the identity, `cos² θ = (1 + cos2θ)/2`twice, we can write,

`A²/(α³) ∫ (1 + cos2θ)²/16 d(2θ) = A²/(α³) [θ/8 + sin 2θ/32 + (1/4)sin4θ/16]`

We need to evaluate this between `0` and `π/2`. Hence, `θ = 0` and `θ = π/2` limits.

Using these limits, we get,`⟨ψ|ψ⟩ = A²/(α³) [π/16 + (1/8)] = 1`

Therefore, we get, `A = √(2α³/π)`.

Hence, we can now write the wavefunction as `ψ(x) = √(2α³/π)/(x²+α²)`.  

(b) Using the wave function found in part (a), we can now determine the expectation value of energy using the time-independent Schrödinger equation, `Hψ = Eψ`. We can write, `H = (p²/2m) + (1/2)mω²x²`.

The first term represents the kinetic energy of the particle and the second term represents the potential energy.

We can write the first term in terms of the momentum operator `p`.We know that `p = -ih(∂/∂x)`Hence, we get, `p² = -h²(∂²/∂x²)`Using this, we can now write, `H = -(h²/2m) (∂²/∂x²) + (1/2)mω²x²`

The expectation value of energy can be obtained by taking the integral, `⟨H⟩ = ⟨ψ|H|ψ⟩ = ∫ψ* H ψ dx`Plugging in the expressions for `H` and `ψ`, we get, `⟨H⟩ = - (h²/2m) ∫ψ*(∂²/∂x²)ψ dx + (1/2)mω² ∫ ψ* x² ψ dx`Evaluating these two integrals, we get, `⟨H⟩ = (3/4)hω - (h²/4ma²)` where `a = α/√(mω/h)`.

(c) Since we have an approximate ground state wavefunction, we can expect that the expectation value of energy ⟨H⟩ should be greater than the true ground state energy.

Hence, the value obtained in part (b) should be greater than the true ground state energy obtained by solving the Schrödinger equation exactly.

Therefore, we can say that the variational principle is valid in this case.

To know more about time-independent Schrödinger equation,visit:

https://brainly.com/question/31642338

#SPJ11

Answer:

No solution

Step-by-step explanation:

-2 ( 4 - 3x ) - 6x = 10

→ Expand brackets

-8 + 6x - 6x = 10

→ Simplify

-8 = 10 ⇒ No solution

The idea of the Laffer Curve, as it is expressed mathematically, is that there is an optimal tax rate at which the government can maximize revenue. This concept is based on the idea that as tax rates increase, revenue collected by the government initially increases but eventually reaches a point at which further increases in tax rates lead to a decrease in revenue.

The Laffer Curve is used to analyze how economic policies may affect growth and stability by illustrating the trade-off between higher tax rates and revenue generation. It is often used as an argument to reduce the government's role in the economy, as increasing taxes beyond a certain point can be counterproductive.

Additionally, the Laffer Curve is related to the idea that aggregate supply increases when production costs decrease, as lower taxes can lead to lower production costs and, therefore, an increase in supply. This is a long answer that describes the various aspects of the Laffer Curve.

To know more about mathematically visit:-

https://brainly.com/question/27235369

#SPJ11

Answer:

its 15

Step-by-step explanation:

Answer:

\(6 {}^{2} = 36 \)

\(x = 12\)

\(9 \times 12 = 108\)

\(108 \times 36 = 3888\)

Answer:

Answer is the last

Step-by-step explanation:

My answer from plato/edmentum unit practice:

Answer:

24

Step-by-step explanation:

6 x 3 = 18 + 6= 24

Using the trignometry functions we now know that the distance from point A to point B is 1,156.1 ft.

Distance is the sum of an object's movements, regardless of orientation.

Distance can be defined as the amount of space an object has covered, regardless of its beginning or ending point.

A scalar number, distance.

The entire path that an object has taken can be used to determine distance.

The entire distance travelled by a car, for instance, would be 13 km if it traveled 5 km east, 8 km north, and back again.

So, the distance from point A to B would be:

Considering the flat planet -

tan5 = 131 / d₁

d₁ = 131/tan5 = 1,497.3368... ft

d₂ = 131/tan21 = 341.2666674...ft

Distance:

1497.3368 - 341.26666 = 1,156.1 ft

Therefore, using the trignometry functions we now know that the distance from point A to point B is 1,156.1 ft.

Know more about distance here:

https://brainly.com/question/26550516

#SPJ1

Correct question:

A boat is heading towards a lighthouse, whose beacon light is 131 feet above the water. From point A, the boat's crew measures the angle of elevation to the beacon, 5°, before they draw closer. They measure the angle of elevation a second time from point B at some later time to be 21°. Find the distance from point A to point B. Round your answer to the nearest tenth of a foot if necessary.

Answer:

3, 4, 5

5, 12, 13

Hope that helps! :)

-Aphrodite

Step-by-step explanation:

By considering the given information that angles 21 and 23 are supplementary and analyzing the properties of supplementary angles and parallel lines, we have proven that segment HI is parallel to segment JK.

To prove that segment HI is parallel to segment JK based on the given information that angles 21 and 23 are supplementary, we can utilize the properties of supplementary angles and parallel lines.

First, let's examine the given figure and information.

We have a capital letter A with serifs, where segment HI represents one of the serifs, and segment JK represents a horizontal line within the letter A.

To begin the proof, we'll make use of the fact that angles 21 and 23 are supplementary.

Supplementary angles are defined as two angles whose measures sum up to 180 degrees.

We can observe that angle 21 is an interior angle of triangle AHI, and angle 23 is an interior angle of triangle AJK.

Since angles 21 and 23 are supplementary, their sum is equal to 180 degrees.

Now, let's assume that segments HI and JK are not parallel.

In this case, if we extend lines HA and JA, they will eventually intersect at point P.

Since the angles formed at the point of intersection are supplementary (angle 21 + angle 23 = 180 degrees), it would imply that angle 21 and angle PJK, as well as angle 23 and angle PHI, are also supplementary.

However, this leads to a contradiction. In the original figure, we can observe that angle 21 and angle PJK do not form a supplementary pair since angle PJK is a right angle (90 degrees) in the letter A.

Therefore, our assumption that segments HI and JK are not parallel must be incorrect.

Consequently, we can conclude that segment HI is indeed parallel to segment JK.

For similar question on angles.

https://brainly.com/question/25770607  

#SPJ8

Answer:

3 units

Step-by-step explanation:

The number of  bags that the merchant should prepare if he wants to make 400 is; 80 bags

The method to solve algebra word problems is as follows;

1. Carefully read through the problem thoroughly, and try to know the meaning.

2. Use variables to denote unknown numbers.

3. Translate the remaining part of the problem into a mathematical expression.

4. Solve the problem.

We are told that the merchant sells 5 for a bag. Now, he wants to make 400. This means if the number of bags is x, then;

x = 400/5

x = 80 bags

Read more about Algebra Word problems at; https://brainly.com/question/13818690

#SPJ1

To construct a 99% confidence interval for the proportion (p) with n = 250 and p-hat = 0.1 :

1. Calculate the standard error (SE): SE = sqrt(p-hat * (1 - p-hat) / n) = sqrt(0.1 * (1 - 0.1) / 250) = sqrt(0.1 * 0.9 / 250) = 0.018

2. Determine the z-score for a 99% confidence interval: z = 2.576 (from a standard normal table)

3. Calculate the margin of error (ME): ME = z * SE = 2.576 * 0.018 = 0.046

4. Find the lower and upper limits of the confidence interval:
Lower Limit = p-hat - ME = 0.1 - 0.046 = 0.054
Upper Limit = p-hat + ME = 0.1 + 0.046 = 0.146

The 99% confidence interval for the proportion is (0.054, 0.146) to three decimal places.

To learn more about ''Construct a confidence interval'' visit : https://brainly.com/question/27097966

#SPJ11

Answer:

\( {x}^{2} + 9\)

Step-by-step explanation:

\( {(x + 3)}^{2} - 6x \\ \\ = {x}^{2} + {3}^{2} + 2 \times x \times 3 - 6x \\ \\ = {x}^{2} + 9 + 6x - 6x \\ \\ = {x}^{2} + 9\)

Answer:

The answer is x² + 9.

Step-by-step explanation:

First, you have to get rid of bracket of square :

\( {(a + b)}^{2} \: ⇒ \: {a}^{2} + 2ab + {b}^{2} \)

\( {(x + 3)}^{2} \)

\( = (x + 3)(x + 3)\)

\( = {x}^{2} + 6x + 9\)

Next, you can simplify :

\( {x}^{2} + 6x + 9 - 6x\)

\( = {x}^{2} + 9\)

Thus, the probability are Zero represents the impossibility.

1/2 equals probable and unlikely

1 = event happens.

Because we don't know how something will turn out, we might talk about the probability of one outcome or the potential for several outcomes.

Typically, the likelihood is stated as the proportion of favourable events to all other potential outcomes in the sample space.

The probability of an event is calculated using the formula P(E) = (Number of favourable outcomes) (Sample space).

Given that probability can only be a number between 0 and 1,

The zeroth value is the impossible.

so there is a 50% chance for both likely and unlikely.

If 1, the event must take place.

To know more about the probability , click the below link

brainly.com/question/795909

#SPJ4

Answer:

3x-27

Step-by-step explanation:

3(x-9)

3x-3X9

3x-27

Answer:

D.... hope this helps

Step-by-step explanation:

The probability that the second card is a king given that the first card is not a king is 4/51.

This is because there are 4 kings in the deck and 51 cards left after the first card is drawn that are not kings.

To understand this problem, we need to use conditional probability. The event that the first card is not a king is our condition and we want to find the probability that the second card is a king given this condition. We know that there are 4 kings in the deck & 51 cards left after the first card is drawn that are not kings.. So the probability that the second card is a king given that the first card is not a king is 4/51.

The order in which the cards are drawn does not matter since we are not replacing the first card.

Learn more about probability brainly.com/question/24756209

#SPJ4

Answer:

You are correct.

Step-by-step explanation:

The steps indicate clear method for the final answer.

Answer:

you are correct

Step-by-step explanation:

Answer:

56

Step-by-step explanation:

Simplifying

x + 7x = 56 + 8

Combine like terms: x + 7x = 8x

8x = 56 + 8

Combine like terms: 56 + 8 = 64

8x = 64

Solving

8x = 64

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Divide each side by '8'.

x = 8

Simplifying

x = 8

In conclusion, based on the provided information, the pairs of triangles that appear to be congruent are Triangle ABC and Triangle DEF, Triangle BCD and Triangle EFG, and Triangle CDE and Triangle FGH.

To determine which pairs of triangles appear to be congruent, we need to examine their corresponding sides and angles. Congruent triangles have the same shape and size, which means their corresponding sides are equal in length and their corresponding angles are equal in measure.

Let's analyze the given information about the triangles:

Triangle ABC:

Side AB is parallel to side DE and has the same length as side DE.

Side BC is parallel to side EF and has the same length as side EF.

Angle ABC is congruent to angle DEF.

Triangle BCD:

Side BC is parallel to side EF and has the same length as side EF.

Side CD is parallel to side FG and has the same length as side FG.

Angle BCD is congruent to angle EFG.

Triangle CDE:

Side CD is parallel to side FG and has the same length as side FG.

Side DE is parallel to side GH and has the same length as side GH.

Angle CDE is congruent to angle FGH.

From the given information, we can observe that the pairs of triangles that appear to be congruent are:

1. Triangle ABC and Triangle DEF: These triangles have corresponding sides AB and DE, BC and EF, and angle ABC and angle DEF that are congruent.

2. Triangle BCD and Triangle EFG: These triangles have corresponding sides BC and EF, CD and FG, and angle BCD and angle EFG that are congruent.

3. Triangle CDE and Triangle FGH: These triangles have corresponding sides CD and FG, DE and GH, and angle CDE and angle FGH that are congruent.

It is important to note that our observation of apparent congruence is based on the given information. To establish formal congruence, we would need additional information, such as the congruence of a third pair of corresponding sides or angles, to apply congruence postulates or theorems.

For more such questions on congruent

https://brainly.com/question/30256538

#SPJ8

To solve for l, we can divide both sides of the equation by 3.4m:

l = (maximum area allowed) / 3.4m

This will give us the value of l, which is the unknown side length of the logo.

A quadrilateral with four equal vertices and parallel sides is referred to as a rectangle. As a result, it is sometimes referred to as an equiangular quadrilateral. Rectangles are also referred to as parallelograms since their opposite sides are equal and parallel.

To determine the unknown side length of the logo, you can use the formula for the area of a rectangle, which is A = l * w, where l is the length and w is the width of the rectangle.

If we let l be the unknown side length of the logo, then we can set up the following equation:

3.4m * l = maximum area allowed

This equation tells us that the product of the height of the logo (3.4m) and its unknown side length (l) must equal the maximum area allowed by the building owner.

To solve for l, we can divide both sides of the equation by 3.4m:

l = (maximum area allowed) / 3.4m

This will give us the value of l, which is the unknown side length of the logo.

To know more about rectangle visit:

https://brainly.com/question/29123947

#SPJ4

Answer:

the number of plates that can be bought is less than or equal to 8 (rounded down to a whole number since you cannot buy a fraction of a plate).

Step-by-step explanation:

The inequality can be written as:

2.25x ≤ 160 - (79.99 + 59.99)

Simplifying this inequality:

2.25x ≤ 160 - 139.98

2.25x ≤ 20.02

Dividing both sides of the inequality by 2.25:

x ≤ 20.02 / 2.25

x ≤ 8.896

Answer:

true

Step-by-step explanation:

30x1.5=45

Answer: True

Step-by-step explanation: If you divide 45km by 30 minutes, then you should get a unit rate of 1.5km per minute.

the expression 24x - 48 is equivalent to 36x + 12

The label 24x - 48 applies to the expression because it is the same as itself. The value obtained by multiplying 24 by x and then taking 48 out is represented by this expression.

The label "36x + 12" applies to the expression because it is the same as itself. The value generated by multiplying 36 by x and then adding 12 is represented by this expression.

Since the formulations in both situations have distinct coefficients for x and various constant terms, they are not comparable to one another. Since both expressions are equal to one another, the term "neither" does not apply to them.

Therefore, the expression 24x - 48 is equivalent to 36x + 12

To learn more about coefficients visit the link below:

https://brainly.com/question/28975079

#SPJ4

Answer:

788

Step-by-step explanation:

Answer:

392.785 or 392.79

Step-by-step explanation: