Find the Fourth vertex. Plz Need Help Will Mark the Brainiest. PLeeassssee I need profesionalll helpppp. :::::((((((( DDRRR. PPHHHIILL

The first and second cars are 7724 feet apart from each other.

The angle of depression is the angle we have to move your eyes downwards to look at the car from the plane. Let's start with the first car, with the 31° angle of depression. Draw an upside-down right triangle with vertices at the plane, the car, and the point 3500 feet in the air above the car (level with the plane). The vertex at the plane is 31° and the right angle is the vertex in the air above the car. The length of the leg from the car to the point in the air above the car is 3500 feet. We like to find the length of the leg from the plane to the point in the air above the car. Since the two sides involved are the legs of the triangle, use tangent:

     tan = opposite/ adjacent

⇒  tan(31°) = 3500/x

⇒ 0.60086 = 3500/x

⇒ 0.67 x = 3500            [ rounding up 0.60086 = 0.67]

⇒ x = 5223.88

That means the first car is 5223.88 feet from the point on the highway below the plane.

We can do something similar with the second car, which has an angle of depression of 53° from the plane. Again, the leg from the car to the point in the air above the car (level with the plane) is 3500 feet, the right angle is at the vertex at the point in the air above the car, and the 53° angle is at the vertex at the plane. We are looking for the length of the other leg, which runs from the plane to the point in the air above the car. Use tangent:

    tan(53°) = 3500/x

⇒ 1.327 = 3500/x

⇒ 1.4x = 3500            [ rounding 1.327 = 1.4]

⇒ x = 3500/1.4
⇒ x = 2500

That means the second car is 2500 feet from the point on the highway below the plane.

Add the two distances together to get the total distance from car to car:

5223.88 + 2500.00 = 7723.88

So, rounded to the nearest foot, the cars are 7724 feet apart.

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Answer:

x=-2

Step by step explanation

6×(5x-2)=-72

6×(-10-2)=-72

6×-12=-72

-72=-72

Answer: D) -2

Step-by-step explanation:

Solve for x:

÷6  [6(5x−2)=−72)] ÷ 6

5x-2=-12

5x=-12+2

5x=-10

x = -2

Check if left side equals right side

LS                RS

6(5x-2)        -72

6(5(-2)-2)

-72              -72

LS        =      RS

Therefore, x = -2

Answer:

The slope is -7

Step-by-step explanation:

\(y = mx + c\)

The \(m\) indicates the slope/gradient of a graph

Answer:

m = -7

Step-by-step explanation:

y = -7x is a typical slope-intercept equation of a straight line.  Comparing it to

y = mx + b, we see that the slope, m, is -7 and the y-intercept, b, is 0.

The graph of the quadratic function is plotted, in which Vertex (h,k) = (-4,3).

In mathematics, a quadratic equation is one with degree 2, which means that its maximum exponent is 2. A quadratic has the formula y = ax2 + bx + c, where a, b, and c are all numbers and a cannot be zero.

Given quadratic function:

y = (x+4)²+3

Now, the equation in vertex form is:

y = a(x - h)² + k

(h,k) are the vertex.

On comparing:

a = 1, h = -4, and k = 3

Vertex (h,k) = (-4,3)

Decide on a number of points along the parabola, making sure to get points on each side of the parabola and replacing x with both positive and negative numbers.

The ideal mirror image is: y = (x+4)²+3

x = 0, y = 19

x = 1, y = 28

x = 2, y = 39

x = -4, y = 3

Plot the vertex together with the points you choose. With the vertex serving as the minimum point, draw a parabola (curve) it through points.

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Complete question:

Given quadratic equation y=(x+4)²+3. Plot the graph.

Answer:

No

Step-by-step explanation:

Step-by-step explanation:

Well, each marker is 1/2, and the number line goes from 0-5/2, and A is on the first marker, A=1/2

The statements are characterized as converse, inverse, and contrapositive statements as follows:

Converse statements:

Inverse statements:

Contrapositive statements:

So, the given sentences are:

Therefore, the statements are characterized as converse, inverse, and contrapositive statements as follows:

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Answer:

1,2,4

Step-by-step explanation:

edem

I will set it up for you only.

Let a = adult tickets

Let s = student tickets

Here is your system of equations:

a + s = 800

12a + 8s = 7500

The probability that the mean of a sample of 55 families will be between 17 and 18 pounds is approximately 71.55%.

σ_sample = σ / sqrt(n)

σ_sample = 2.5 / sqrt(55)

σ_sample ≈ 0.336

Now, we can standardize the values of 17 and 18 pounds using the Z-score formula. This will tell us how many standard deviations away from the population mean these values are:

Z = (X - μ) / σ_sample

Z_17 = (17 - 17.2) / 0.336 ≈ -0.595

Z_18 = (18 - 17.2) / 0.336 ≈ 2.381

Now we will use the standard normal distribution (Z-distribution) to find the probabilities corresponding to these Z-scores. You can use a Z-table, statistical software, or an online calculator to find these probabilities.

P(Z < -0.595) = 0.2760

P(Z < 2.381) = 0.9915

To find the probability that the mean of a sample of 55 families will be between 17 and 18 pounds, we will find the difference between the probabilities corresponding to the two Z-scores:

P(17 < X < 18) = P(Z < 2.381) - P(Z < -0.595)

P(17 < X < 18) = 0.9915 - 0.2760

P(17 < X < 18) ≈ 0.7155

So, the probability that the mean of a sample of 55 families will be between 17 and 18 pounds is approximately 71.55%.

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Answer:

hope this helps, this is the fastest I could do

Answer:

y in (7,y) = 14

Step-by-step explanation:

A General Linear function is as the following:

y = mx + c, Where: m: slope of the line, c: y-intercept

Given that:

Point 1 (P1) = (1,5)

Point 2 (P2) = (3, 11)

Point 3 (P3) = (7,y)

By substituting in the linear function with P1:

5 = m + c  ---> (1)

By substituting in the linear function with P2:

11 = 3m + c   ---> (2)

By multiplying equation (1) times 3 and subtracting eq. (2) from it:

(15 = 3m + 3c) - (11 = 3m + c) =

4 = 2c

Then, c = 2

By substituting with "c" in eq. (1):

5 = m + 2

Then, m = 3

Hence,

the function of this line is:

y = 3x + 2

So,

to get "y" in P3, we are going to substitute with 7:

y = 3(7) + 2

then "y" in P3 = 23


Another Solution:

by getting the slope of the line:

\(Slope = \frac{\triangle y}{\triangle x}\) Where: Δy: change in y points, Δx: change in x points

by utilizing P1 & P2 in slope formula:

\(slope = \frac{11 - 5}{3 - 1} = \frac{6}{2} = 3\)

By substituting with P1 in the linear function:

5 = 3 + c

Then, c = 2

the function of the line is:

y = 3x + 2

So,

to get "y" in P3, we are going to substitute with 7:

y = 3(7) + 2

then "y" in P3 = 23



hope you find this easy to understand....

Have any questions? Write in the comments.

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Answer:

Evelyn brought "x" apples for 5 dollars each. Then she has a discount for 2 dollars. The final total is 28. If "x" equals the number of apples, how many apples did she buy?

The rate of the given situation will be 2 inches per minute.

The rate is the ratio of the amount of something to the unit. For example - If the speed of the car is 20 km/h it means the car travels 20 km in one hour.

The distance is a one-seventh inch and the time is one-fourteenth minutes. Then the rate as a unit rate is given as,

Rate = (1/7) / (1/14)

Rate = (1/7) x (14/1)

Rate = 14/7

Rate = 2 inches per minute

The rate of the given situation will be 2 inches per minute.

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The optimal values of these parameters are:

a. β₁ = 0

b. β₂ = 0

The linear regression y = β1 + β2x + e, assuming that the sum of squared errors (SSE) takes the following form:

SSE = 382 + 681 + 382 + 18β1β2

Derive the partial derivatives of SSE with respect to β1 and β2 and solve the optimal values of these parameters.

Given that SSE = 382 + 681 + 382 + 18β1β2 ∂SSE/∂β1 = 0 ∂SSE/∂β2 = 0

Now, we need to find the partial derivative of SSE with respect to β1.

∂SSE/∂β1 = 0 + 0 + 0 + 18β2 ⇒ 18β2 = 0 ⇒ β2 = 0

Therefore, we obtain the optimal value of β2 as 0.

Now, we need to find the partial derivative of SSE with respect to β2. ∂SSE/∂β2 = 0 + 0 + 0 + 18β1 ⇒ 18β1 = 0 ⇒ β1 = 0

Therefore, we obtain the optimal value of β1 as 0. Hence, the partial derivative of SSE with respect to β1 is 18β2 and the partial derivative of SSE with respect to β2 is 18β1.

Thus, the optimal values of β1 and β2 are 0 and 0, respectively.

Therefore, the answers are: a. β₁ = 0 b. β₂ = 0

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Answer:

C. \(6+z=44\Rightarrow z=38\ \text{inches}\)

Step-by-step explanation:

The plant has initial length of \(6\ \text{inches}\)

Let the height it grew after the \(6\ \text{inches}\)  be \(z\)

So total height it grows would be \(6+z\)

The total height of the plant is \(44\ \text{inches}\)

So we get

\(6+z=44\\\Rightarrow z=44-6\\\Rightarrow z=38\ \text{inches}\)

The equation that models the situation is

\(6+z=44\Rightarrow z=38\ \text{inches}\)

Answer:

El orden de forma creciente de los números enteros es:

-32< -21< -16< -11< -7< -2< < 6< 20< 30< 32

Step-by-step explanation:

Ordenar de forma creciente números enteros implica ordenarlos de menor a mayor. Esto es, debes considerar primero el número que posea el menor valor y luego ir ordenándolos a medida que su valor vaya aumentando, para dejar en último lugar al que posea el mayor valor.

Para ordenarlos debes tener en cuenta que:

Entonces, en este caso el orden de forma creciente de los números enteros es:

-32< -21< -16< -11< -7< -2< < 6< 20< 30< 32

Total price paid by Michael for the basket of mangoes is $4.48.

For the calculation of total price, price of sales tax will be added with selling price. Forming the equation -

Total price = 4 + 12%×4

Calculating the percentage of sales tax on Right Hand Side of the equation

Total price = 4 + 12×4/100

Solving the percentage part on Right Hand Side of the equation

Total price = 4 + 0.48

Performing addition on Right Hand Side of the equation

Total price = $4.48

Hence, Michael has to pay $4.48 after addition of sales tax for the basket of mangoes.

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The equation of the graph shown can be written in factored form as follows:

y = a(x - h)(x - k)(x - m)

To find the equation, we need to identify the x-intercepts and the minimum point of the graph.

From the description, we know that the graph starts at the top left and continues down through the x-axis at x = -4. This means that one of the factors is (x + 4).

Next, the graph reaches a minimum around y = -2.8. This indicates that the graph touches the x-axis at this point, so another factor is (x + 2).

Moving forward, the graph goes back down to another minimum around y = -0.4. Again, this means the graph touches the x-axis at this point. So we have another factor, (x + 1).

Now we have all the necessary factors: (x + 4), (x + 2), and (x + 1). To determine the coefficient "a," we can use the fact that the graph goes up after crossing the x-axis at x = -2. This suggests that "a" must be positive.

Therefore, the equation of the graph in factored form is:

y = a(x + 4)(x + 2)(x + 1)

Please note that without specific points, it is not possible to determine the exact value of "a" or the precise shape of the graph. The equation provided represents a general equation that satisfies the given conditions.

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Answer:

A. $1.25

Step-by-step explanation:

10-2.50= 7.5

7.5 divided by 6 is 1.25

$1.25 is your answer

Answer:

ma

Step-by-step explanation:

iminlove

Answer:

m<1 = 111

m<2= 112

m<3= 113

m<4= 114

m<5= 115

m<6= 116

m<7= 117

m<8= 118

Step-by-step explanation:

the power of varibles defines the order

Answer:

36 percent

Step-by-step explanation:

hi again

Answer:

36 percent

Step-by-step explanation:

There are a total of 25 muffins.

9 out of 25 muffins that were sold were carrots.

Divide 25/9 and you get 0.36

Multiply that by 100 and you get 36.

So %36 were carrot

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The normal stress and shear stress acting on a plane perpendicular to direction inclined 30° counter clockwise to σ 11 are σn = 16−15√3 and τ = 2+15√3/4. The maximum shear stress is 17.5.

The stress tensor σ given in the problem is:

σ = 201504−400−1500−1010

The normal stress is given by

σn = σ11cos²θ+σ22sin²θ−2σ12sinθcosθ

where

θ = 30°

θ = 30° is the angle between the direction perpendicular to the plane and the direction of σ11

σ11 = 20

σ22 = −15

σ12 = −4

Here is a detailed calculation:
σn = 20cos²(30)+(-15)sin²(30)-2(-4)sin(30)cos(30)

σn = 20cos²(30)+(-15)sin²(30)+4sin(30)cos(30)

σn = 20(3/4)+(-15)(1/4)+4(1/2)(√3/2)

σn = 12−15√3+4√3

σn = 16−15√3

The normal stress is σn = 16−15√3

The shear stress acting on a plane perpendicular to direction inclined 30° counter clockwise to σ11

σ11 is given by:
τ = σ12(sin²θ−cos²θ)+0.5(σ11−σ22)sin2θ

where

θ = 30°

θ=30° is the angle between the direction perpendicular to the plane and the direction ofσ11.

σ11 = 20

σ22 = −15

σ12 = −4

Here is a detailed calculation:
τ = −4(sin²(30)−cos²(30))+0.5(20−(−15))sin(60)

τ = −4((1/4)−(3/4))+0.5(20+15)(√3/2)

τ = 4(1/2)+0.5(35)(√3/2)

τ = 2+15√3/4

The shear stress is τ = 2+15√3/4

Maximum shear stress
The maximum shear stress is given by

τmax = 0.5(σ1−σ2)

whereσ1σ1 andσ2σ2 are the first and second principal stresses.

The eigenvalues of the stress tensor σ are found by solving the characteristic equation:

det(σ−λI)=0

Here is a detailed calculation:
σ−λI = [20150−λ−400−1500−λ0−400−15−λ10−λ]

σ−λI = 0(20150−λ)[(−λ)(−λ−15)+0(−400)]−(−4)[0(−λ−15)+(−400)(−λ)]+0[0(−400)+(20150−λ)(−λ)]

σ−λI = 0λ³+35λ²−605λ−1875

σ−λI = 0

λ = −25,5,3

The maximum shear stress occurs on the plane of maximum shear stress which is at 45° 45° to the coordinate axes.

The maximum shear stress is found to be

τmax = 0.5(σ1−σ2)

τmax = 0.5(20−(−15))

τmax = 17.5.

Therefore, the maximum shear stress is τmax = 17.5.

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The polar coordinates of the rectangular coordinates are  (4,5π/3)Option D is correct.

A two-dimensional coordinate system in which a distance from a reference point and an angle from a reference direction identify each point on a plane is as the polar coordinate.

The polar coordinate standard form is;

\(\rm x = rcos \theta \\\\\ y= rsin \theta\)

The value of the r is the resultant of the coordinate;

\(\rm r= \sqrt{2^2+(-2\sqrt{3})^2 } \\\\r= 4\)

The angle is found as ;

\(\theta = tan^{-1}(\frac{y}{x}) \\\\ \theta = tan^{-1} \frac{-2\sqrt{3} }{2} \\\\ \theta = -60^0\)

\(x= rcos \theta \\\\ x= 4 cos(-60) \\\\ x= rcos \theta \\\\ x= 4 cos [-\frac{\pi}{3} ]\\\\ \rm y = r sin \theta \\\\ y= 4 sin [-\frac{-\pi}{6}]\)

Hence the polar coordinates of the rectangular coordinates are  (4,5π/3)Option D is correct.

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Answer:

x=28.67

Step-by-step explanation:

6          x

18        36

18x      516

18          18

x=28.67

If V be a subspace of \(R^n\) with dim(V) = n - 1 (such a subspace is called a hyperplane in \(R^n\)) then, there exists a nonzero vector (u_n) orthogonal to every vector in the subspace V, which is a hyperplane in \(R^n\).

To prove this, follow these steps:

Step 1: Since dim(V) = n - 1, we know that V has a basis {v1, v2, ..., v(n-1)} consisting of n - 1 linearly independent vectors in \(R^n\)

Step 2: Extend this basis to a basis of \(R^n\) by adding an additional vector, say w, to the set. Now, the extended basis is {v1, v2, ..., v(n-1), w}.

Step 3: Apply the Gram-Schmidt orthogonalization process to the extended basis. This will produce a new set of orthogonal vectors {u1, u2, ..., u(n-1), u_n}, where u_n is orthogonal to all the other vectors in the set.

Step 4: Since u_n is orthogonal to all other vectors in the set, it is also orthogonal to every vector in the subspace V. This is because the vectors u1, u2, ..., u(n-1) form an orthogonal basis for V.

Therefore, we have proven that there exists a nonzero vector (u_n) orthogonal to every vector in the subspace V, which is a hyperplane in \(R^n\).

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56/120

Step-by-step explanation:

The body masses of the two children in terms of their father's body mass, x, are:

First child's body mass = 5x/6 kg

Second child's body mass = 4x/5 kg

To express the body mass of the man's two children in terms of their father's body mass, we can use the given ratios.

Let the body mass of the man be x kg.

The first child's body mass is five-sixths of their father's body mass:

Body mass of the first child = (5/6) * x

= 5x/6 kg.

The second child's body mass is four-fifths of their father's body mass:

Body mass of the second child = (4/5) * x

= 4x/5 kg.

Therefore, the body masses of the two children in terms of their father's body mass, x, are:

First child's body mass = 5x/6 kg

Second child's body mass = 4x/5 kg

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Answer:

that is, pi (π) multiplied by the radius squared (r2). Now, to calculate the area of a quadrant, divide the area of a circle by 4 (as four quadrants make a circle). We get, Area of a quadrant, A= (πr2)/4 Square units.