50 PONTS Triangle LMN has vertices at L(−1, 4), M(−1, 0), and N(−3, 4) Determine the vertices of image L′M′N′ if the preimage is rotated 90° clockwise about the origin.

L′(4, 1), M′(0, 1), N′(4, 3)
L′(−1, −4), M′(−1, 0), N′(−3, −4)
L′(−4, −1), M′(0, −1), N′(−4, −3)
L′(1, −4), M′(1, 0), N′(3, −4)

Answer: When viewed from the side, the spire forms an isosceles triangle m, the area of the isosceles triangle is equal to  1/4b√4a²-b².

Step-by-step explanation:

What is isosceles triangle?

A triangle with two equal-length sides is said to be isosceles. The triangle's third side is referred to as the base, while the triangle's two equal sides are known as the legs. The triangle's legs are usually shorter than the base, which is usually the triangle's longest side.

To determine if the spire on top of a building forms an isosceles triangle when viewed from the side, we first need to define the three sides of the triangle. Let's call the two sides that are equal in length "s" and the third side "l".

Next, we need to determine if the triangle satisfies the definition of an isosceles triangle. The two sides "s" of the spire must therefore be of equal length for the spire to create an isosceles triangle.

To confirm this, we can measure the length of the sides "s" and compare them to each other. If they are equal in length, then the spire forms an isosceles triangle. If they are not equal in length, then the spire does not form an isosceles triangle.

For example, if the base of the triangle is 10 feet and the length of the two equal sides is 10 feet, then the triangle is isosceles. Therefore, the spire on the top of the building forms an isosceles triangle when viewed from the side.

Therefore, if the two sides "s" of the spire are equal in length, then the spire forms an isosceles triangle when viewed from the side.

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An isosceles triangle is a triangle with two sides of equal length and two equal angles.

What is isosceles triangle?

An isosceles triangle is a type of triangle that has two sides of equal length and two angles of equal measure. The two sides of equal length are the two legs of the triangle, while the third side is called the base. The angles opposite the two equal sides are equal in measure, while the angle opposite the base is the third angle. Isosceles triangles are classified according to the measure of their angles. An equilateral triangle is an isosceles triangle with all angles equal to 60°. An isosceles triangle with two angles equal to 45° is called an isosceles right triangle. An isosceles triangle with two angles equal to less than 45° is referred to as an acute isosceles triangle, while an isosceles triangle with two angles equal to more than 45° is referred to as an obtuse isosceles triangle. Isosceles triangles have many practical uses in engineering and architecture. For example, buildings and bridges often feature isosceles triangles in their roofs and arches in order to provide strength and stability.

When viewed from the side, the spire on the top of a building forms an isosceles triangle because it has two equal sides (the sides running up the spire) and two equal angles (the angles at the base of the spire).

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Explanation

The equation of a circle with center (h,k) and radius r units is given by:

then

Step 1

find the diameter of the cirlce:

to do this, we can use the distance between two points formula:

if

the distance from A to B is

so,let

distance CD=

hence, the diameter of the circle is

Step 2

find the center of the circle:

the center of the circle is the midpoint of CD

so

replace

so, the center of the circle is (-3,-1)

Step 3

finally, replace in the formula to get the equation of the circle

let

replace

therefore, the answer is

I hope this helps you

Answer: 40BC and 766AD

Step-by-step explanation:

The determinant of the given matrix is 1. The correct option is G. 1

The determinant of a 2x2 matrix is found by multiplying the values on the main diagonal (top left to bottom right) and subtracting the product of the values on the other diagonal (top right to bottom left).

In this case, the given matrix is \(\left[\begin{array}{ccc}-5&4\\-9&7\end{array}\right]\)
The determinant is calculated as (-5 * 7) - (4 * -9).
Simplifying, we get (-35) - (-36), which is equal to -35 + 36 = 1.

Therefore, the determinant of the given matrix is 1.

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We know that the expression can be combined into log4(200).

To combine the expression log4(8) + 2 log4(5), we can use the Laws of Logarithms. Specifically, we can use the product rule, which states that log*a(x) + log*a(y) = log*a(x y). Applying this rule, we get:

log4(8) + 2 log4(5) = log4(8) + log4(5^2)
= log4(8 * 5^2)
= log4(200)

Therefore, the expression can be combined into log4(200).

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There are 150 students in the after-school day care program, and the correct answer is D. 150.

To find out the total number of students in the program, we need to use the information given to us.

1. We know that 28% of the students wore yellow shirts, and the remaining students wore blue shirts. So, to find the percentage of students who wore blue shirts, subtract 28% from 100%:
100% - 28% = 72%

2. We know that 108 students wore blue shirts. Since this is 72% of the total students, we can set up an equation to find the total number of students (x):
0.72 * x = 108

3. Divide both sides of the equation by 0.72 to solve for x:
x = 108 / 0.72
x = 150

Therefore, there are 150 students in the after-school day care program, and the correct answer is D. 150.

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Answer:

1. 4x(x + 1)(x + 4)

2. 2x²(3x + 8)(2x - 1)

3. 2(x + 5)(5x - 1)

Answer:

undefined

Step-by-step explanation:

sorry if it's wrong

Answer:

answer is zero

Step-by-step explanation:

Answer:

The answer would be $37.40

Step-by-step explanation:

The sale price would be the current price which is 44 - 15% of itself.

It is 15 percent off, so 44 x 0.85 would be the equation, since the now price is 85 percent of the original price.

44 x 0.85 = 37.40

dollar signs ;)

Answer:

$33.00

And here's a link to the quiz i think your taking. (Its a answer key)

https://quizizz.com/admin/quiz/5c90d54dd7b2aa001fb8e8b8/-applications

\(\textsf {Simplifying the exponents :}\)

\(\mathsf {\frac{3x^{-6}y^{-3}}{15x^{2}y^{10}}}\)

\(\mathsf {\frac{1}{5x^{(2+6)}y^{(10+3)}}}\)

\(\mathsf {\frac{1}{5x^{8}y^{13}}}\)

Answer:

-12

Step-by-step explanation:

Show below in the image.

Answer: -12

Step-by-step explanation:

plug in 4 into the function

instead of it being just f(x)=-x-8 it will be f(4)= -4-8

When you evaluate it, it will add up to -12

Answer:

The first one

Step-by-step explanation:

1. 36/-3 = -12

2.-4-(-16) =12

3.(-3)(-4) = 12

4.21+ (-9) = 12

The first one is the only one which doesn't equal 12. It equals -12 and that's why it doesn't belong.

Let me know if you need further detail for them :)

The circle has a center at the origin (0, 0) and have a radius of 4 units.

A circle is the locus of a point such that its distance from a fixed point (center) is constant.

The standard equation of a circle is:

(x - h)² + (y - k)² = r²

Where (h, k) is the circle center and r is the radius.

The circle given by the equation:

x² + y² = 16

Hence the center is (0, 0) and the radius is 4 units.

The circle has a center at the origin (0, 0) and have a radius of 4 units.

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The center is (0, 0) and the radius is 4 units.

A circle is a round-shaped figure that has no corners or edges. In geometry, a circle can be defined as a closed, two-dimensional curved shape.

The base of a solid is s is the region bounded by the circle is;

\(\rm x^2+ y^2=16\)

The standard equation of a circle is:

(x - h)² + (y - k)² = r²

Where (h, k) is the circle center and r is the radius.

On comparing with the standard equation of a circle;

h = 0 , k = 0 and r =4

Hence. the center is (0, 0) and the radius is 4 units.

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Answer:

57/100

Step-by-step explanation:

27/100 = 0.27

3/10 = .3

.27 + .3 = .57

.57 = 57/100

Answer:

57/100

Step-by-step explanation:

make the denominators the same

lcm of 10, 100= 100

27/100+30/100=57/100

Answer:

\(\sqrt{330}\)

Step-by-step explanation:

The area of a square, \(A_{\square}\), is calculated by the square of its sides (\(s^2\)). If you want to find \(s\), given the \(A_{\square}\), you are just going to take the principal square root of (\(A_{\square}\)).

We are given the average area of the living rooms in the United States (\(330\)). If a living room in the United States is in the shape of a square, the average of its side is \(\sqrt{330}\).

Solving for \(\sqrt{330}\) without a calculator:

The numbers \(330\) has no factor that is a perfect square. This means that we cannot write \(\sqrt{330}\) any simpler.

Answer:

1.39

2.4/5

3. 4/5t+39

4. 4

5.4/3

6.4/3g+4

i hope i got this right.

Answer: 23 - 19 = 4

Step-by-step explanation:

Answer:

how many does eat cookies left??? what

Step-by-step explanation:

anyway, it should be 4 cookies i guess?

23 - 19 = 4

...unless this is like a trick question with bad grammar

Answer:

£1,330.46

Step-by-step explanation:

Hope this helps, mate!

Answer:

x<5

Put it on a graph, and then you'll see how I got my answer.

I'm not the type of person that is good at explaining, hehe...

Answer:

y = (4/3)x - 2/3

Step-by-step explanation:

From (-6, -2) to (-3, 2) we see the x-component changing by 3 units and the y-component by 4 units.  Thus, the slope of this new line is

m = rise / run = 4/3.  

Let's focus on the point (-3, 2).  Here x = -3 and y = 2.  Plugging these three values into the slope-intercept form of the equation of a line, we get:

2 = (4/3)(2) + b.

Then 2 = 8/3 + b, or 6/3 = 8/3 + b.  Thus, b = 6/3 - 8/3, or -2/3.

The equation of the desired line is y = (4/3)x - 2/3

Answer:y=4/3x+6

Step-by-step explanation:

Answer:

D. x^2-x-9-12/x-2

Step-by-step explanation:

We can use synthetic division to divide (x^3 - 3x^2 - 7x + 6) by (x - 2). First, we set up the division as follows:

    2 |   1   -3   -7    6

       |______2___-2__-18

       | 1   -1   -9  -12

The numbers on the bottom row of the synthetic division table represent the coefficients of the quotient polynomial. Therefore, the quotient is x^2 - x - 9, and the remainder is -12.

So, we have:

(x^3 - 3x^2 - 7x + 6) / (x - 2) = x^2 - x - 9 + (-12 / x - 2)

Therefore, the correct option is D: x^2 - x - 9 - 12/(x - 2).

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.

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Answer:

it looks like the question is not complete but anything in a bracket like(-3) since tjere is no number in front of it or anything to divide it if the number is alone there is no need for the bracket

Answer:

A

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

Put x = 2 into both equations:

For x- 10 = 2-10 = 8 (Not  > 8)

For -0.5x-4 = -0.5*2-4 = -5 (Not < -8)

Hence, the answer is no.

Answer:

There is evidence of a statistically significant difference in the yields between fertilizer A and fertilizer B (0.01 < p < 0.05).

Step-by-step explanation:

Answer: See explanation

Step-by-step explanation:

Let the number of guests be represented by x.

The information given can then be used to generate an inequality that goes thus:

160 + 15x ≤ 520

15x ≤ 520 - 160

15x ≤ 360

x ≤ 360/15

x ≤ 24

The number of guests should be at most 24

Answer:

y = 2x + 2

BRAINLIEST, PLEASE!

Step-by-step explanation:

(-2, -2) (-1, 0)

y = mx + b (m = slope, b = y-intercept)

m = rise/run = change in y / change in x

change in y: +2

change in x: + 1

change in y/change in x = 2/1 = 2

m = 2, y = 2x + b

We can plug -1 in for x, and 0 in for y.

0 = 2(-1) + b

0 = -2 + b

b = 2

y = 2x + 2

Answer:

y = 2x + 2

Step-by-step explanation:

Answer: 4.1 feet : 4 feet

Step-by-step explanation:

From the question, we are informed that Bradley estimated the height of a tree at 2.5 meters. Carla estimated that tree's height at 8 feet.

The conversion ratio be used to compare Bradley's and Carla's estimates of the tree's height when measured in feet goes thus:

Since 1 feet = 0.305 meters

2.5 meters will be = 2.5/0.305 = 8.2 feet

Therefore the conversion ratio will be:.

= 8.2 : 8

Reducing to lowest term will be

= 4.1 feet : 4 feet.

= 4.1 : 4

The lines which are parallel are given below :

Line b is parallel to line f, line b is parallel to line d, line c is parallel to line e, line c is parallel to line d and line d is parallel to line f.

Line b is parallel to line f  because they both have a pair of alternate angles that are congruent which is 89.5 degrees and 90.5 degrees.

Line b is parallel to line d because they both have a pair of alternate angles that are congruent at 89.5 degrees.

Line c is parallel to line e because they both have a pair of alternate angles that are congruent at 91.5 degrees.

Line c is parallel to line d because they both have a pair of alternate angles that are congruent: 89.5 degrees.

Line d is parallel to line f since they have corresponding angles of 89.5 degrees and 90.5 degrees, respectively

Therefore, the correct answer is :

Line b is parallel to line f, line b is parallel to line d, line c is parallel to line e, line c is parallel to line d and line d is parallel to line f.

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