Line s passes through points (8, 2) and (3, 4). Line t is perpendicular to s. What is the slope of line t?

Answer: wheres the answer choices

Step-by-step explanation: good for roderick

Answer:

See below.

Step-by-step explanation:

(a)

To multiply two polynomials, multiply every term of the first polynomial by every term of the second polynomial. Then combine like terms.

\( (\dfrac{1}{2}x - \dfrac{1}{4})(5x^2 - 2x + 6) = \)

\( = \dfrac{1}{2}x \times 5x^2 - \dfrac{1}{2}x \times 2x + \dfrac{1}{2}x \times 6 - \dfrac{1}{4} \times 5x^2 + \dfrac{1}{4} \times 2x - \dfrac{1}{4} \times 6 \)

\(= \dfrac{5}{2}x^3 - x^2 + 3x - \dfrac{5}{4}x^2 + \dfrac{1}{2}x - \dfrac{3}{2}\)

\( = \dfrac{5}{2}x^3 - \dfrac{9}{4}x^2 + \dfrac{7}{2}x - \dfrac{3}{2} \)

(b)

No. Since the binomials are different, the product of two different binomials and the same trinomial will give different results.

See below for the organized result in a two-way frequency table

The given parameters are:

Candies = 18

Chocolate and Caramel = 10

None = 3

Chocolate = 12

Using the above parameters, we have the following rows and columns:

                                           Chocolate

                                           Present            Absent     Total

Caramel     Present                  

                   Absent

                   Total

Next, we populate the table as follows:

                                           Chocolate

                                           Present            Absent     Total

Caramel     Present                  10                  3

                   Absent

                   Total                       12

The total number of candies is 18.

So, we have:

                                    Chocolate

                                           Present            Absent     Total

Caramel     Present                  10                  3             13

                   Absent

                   Total                       12                 6               18

Subtract the cells from the column total

                                    Chocolate

                                           Present            Absent     Total

Caramel     Present                  10                  3             13

                   Absent                    2                   3             5

                   Total                       12                   6              18

The above represents the organized result

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The objective is to develop and implement an adaptive cruise control system for vehicles using MATLAB, Arduino UNO, and ThingSpeak that automatically adjusts the speed to maintain a safe distance from vehicles ahead and uploads speed information to the cloud for connected vehicles and intelligent transport.

The system uses an Arduino UNO board, five buttons, a distance sensor, and a 4-digit 7-segment anode display. The buttons include Set_speed, Adaptive_speed, Cancel, Increase_speed, and Decrease_speed. The system has two modes, cruise control, and adaptive cruise control.

In cruise control, the speed is held constant and can be adjusted with the Increase_speed and Decrease_speed buttons. In adaptive cruise control, the speed automatically adjusts to maintain a safe distance from vehicles or objects in front and the display blinks to indicate this mode.

The system also communicates with the ThingSpeak platform to store speed data on the cloud for analysis and visualization in MATLAB.

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Answer:

The vertical line test can be used to determine whether a graph represents a function. ... If we can draw any vertical line that intersects a graph more than once, then the graph does not define a function because that x value has more than one output. A function has only one output value for each input value.

Step-by-step explanation:

Can i get braineist pls

The equation of the circle centered at the origin and passing through the point (0, 4) is \($x^2+y^2=16$\).

Let the center of the circle be represented as (h,k) and the radius of the circle be represented as r.

The general equation of a circle is given by \($$(x-h)^2+(y-k)^2=r^2$$\)

where the center of the circle is (h, k), and the radius is r

The equation of the circle with center (5, 9) and radius 11 is \($$(x-5)^2+(y-9)^2=11^2$$\)

To get the equation of the circle centered at the origin and passing through the point (0, 4), the center of the circle is the origin, which means (h, k) = (0, 0), and the radius r is given as the distance from the origin to (0, 4).

That distance is 4 units.

Therefore, the equation of the circle can be given by \($$(x-0)^2+(y-0)^2=4^2$$\)

Simplifying the equation gives:\($$x^2+y^2=16$$\)

Therefore, the equation of the circle centered at the origin and passing through the point (0, 4) is \($x^2+y^2=16$\).

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Answer:  -29.3

Step-by-step explanation:  -7y + 2x

-7(-6.3) + 2(-7.4) = -29.3

Answer:

the second one!

=

Step-by-step explanation:

Answer

1) Julie is correct.

2) All of the explanation and calculation is provided below.

Ramiro is wrong because the information provided is sufficient to obtain all the other requiired information and determine if the two triangles are similar or not.

Explanation

To answer this question, we need to first note that the sum of angles in a triangle is 180°.

So, we need to first find the third angle for each of the two triangles described before answering the question.

In triangle ABC

Angle A = 62°

Angle B = 39°

Angle A + Angle B + Angle C = 180°

62° + 39° + Angle C = 180°

101° + Angle C = 180°

Angle C = 180° - 101°

Angle C = 79°

In triangle XYZ

Angle Y = 39°

Angle Z = 79°

So,

Angle X + Angle Y + Angle Z = 180°

Angle X + 39° + 79° = 180°

Angle X + 118° = 180°

Angle X = 180° - 118°

Angle X = 62°

So, we can see that the three angles for the two triangles are the same.

And one of the conditions for two triangles to be congruent is for all of their corresponding angles to be the same measures.

1) Hence, Julie is correct.

2) All of the explanation and calculation is provided above.

Ramiro is wrong because the information provided is sufficient to obtain all the other requiired information and determine if the two triangles are similar or not.

Hope this Helps!!!

To find the eigenvalues and eigenvectors of a 2x2 matrix, follow these steps:

Calculate the characteristic equation by subtracting the identity matrix I multiplied by the scalar λ from matrix A, and set the determinant of this resulting matrix equal to zero. The characteristic equation is given by det(A - λI) = 0.Solve the characteristic equation to find the eigenvalues (λ).

Let's assume we have a 2x2 matrix A:

  | a  b |

A = | c d |

To find the eigenvalues, we need to calculate the characteristic equation:

det(A - λI) = 0,

where I is the 2x2 identity matrix and λ is the eigenvalue.

A - λI = | a-λ b |

| c d-λ |

The determinant of this matrix is:

(a-λ)(d-λ) - bc = 0,

which simplifies to:

λ² - (a+d)λ + (ad - bc) = 0.

This quadratic equation gives us the eigenvalues.

Solve the quadratic equation to find the values of λ. The solutions will be the eigenvalues.

Once you have the eigenvalues, substitute each value back into the equation (A - λI)v = 0 and solve for v to find the corresponding eigenvectors.

For each eigenvalue, set up the homogeneous system of equations:

(A - λI)v = 0,

where v is the eigenvector.

Solve this system of equations to find the eigenvectors corresponding to each eigenvalue.

To find the eigenvalues and eigenvectors of a 2x2 matrix, follow the steps mentioned above. The characteristic equation gives the eigenvalues, and by solving the corresponding homogeneous system of equations, you can determine the eigenvectors.

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Answer:

Eh what answer? I dun see anything :0 - Lily ^_^

Answer:

Step-by-step explanation:

Given the formula for the surface area of a cylinder as S = 2πr(r+h) where r is the radius of the cylinder's base and h is its height.

Given parameters

base radius of the cylindrical pole = 10 cm

Height of the cylindrical pole = 2 m

Since 100 cm = 1 m, then 2 m = 200 cm

Height of the cylindrical pole (in cm) = 200 cm

Required

Surface area of the pole (in cm²)

Using the formula for finding the surface area of a cylinder as shown above;

\(S = 2\pi r(r+h)\\\\S = 2\pi (10)(10+200)\\\\S = 2\pi 10(210)\\\\S = 2\pi * 2100\\\\S = 4200\pi cm^2\)

Hence the  surface area of the pole in square centimetres is 4200πcm²

The equation that represents s, the total number of seventh-grade students at the middle school is given by: Option A: \(18 = 0.1s\)

Suppose that the whole thing is of value V.

Then its one-nth part is symbolically written as: \(V \times \dfrac{1}{n}\) (V is divided in n equal part, and each part is called one-nth part of V).

For the considered case, we've got the figures as:

Every seventh grade student at considered school takes one language class. It means, if s = Total number of seventh grade student, then:

\(\dfrac{s}{7}\)  is the number of students taking language class.

Now, it is said that: One-tenth of the seventh grade students like French, and that they are total 18 in counts.

Writing it symbolically gives:

\(\dfrac{s}{10} = 18\)

Since we know that \(\dfrac{a}{b} = a \times \dfrac{1}{b}\)

Thus,

\(\dfrac{s}{10} = s \times \dfrac{1}{10} = s \times 0.1= 18\\\\0.1 s = 18\\18 = 0.1s\)

(sign of multiplication is often hidden if there are non numeric symbols and numbers being multiplied are written together)

Thus, the equation that represents s, the total number of seventh-grade students at the middle school is given by: Option A: \(18 = 0.1s\)

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Answer:

Step-by-step explanation:

Answer:

a=1

Step-by-step explanation:

Hi there!

We are given the proportion \(\frac{1}{a+3} =\frac{4}{16}\), and we want to solve it for the variable, a

Before we start, we can simplify 4/16 to 1/4, since 4 is the GCF of the numerator and denominator of that fraction. Simplifying the fraction will make the computation easier, as the numbers are smaller.

Therefore, the proportion will now be:

\(\frac{1}{a+3} =\frac{1}{4}\)

Because this is a proportion, we can cross multiply in order to solve for a; to do that, multiply a+3 by the expression that is on the top right (in this case, 1). Also multiply 4 by the expression that is on the top left (in this case, 1). Then, set them equal to each other, since it is still an equation :)

1(a+3)=4(1)

Multiply

a+3=4

Subtract 3 from both sides

a=1

Hope this helps!

Angle ∠C and angle ∠E are supplementary angles. Then the correct option is B.

The sum of the supplementary angle is 180 degrees.

The sum of two acute angles will be less than 180 degrees.

Similarly, the sum of two obtuse angles is more than 180 degrees.

The addition of angle ∠C and angle ∠E is calculated as,

∠C + ∠E = 61° + 119°

∠C + ∠E = 180°

The addition of angle ∠C and angle ∠E is 180°. Thus, the correct option is B.

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The volume of the triangular prism is 216 cubic meters.

To find the volume of a triangular prism, we need to multiply the area of the triangular base by the length of the prism.

Calculate the area of the triangular base.

The base of the triangular face is given as 8 meters, and the height is 9 meters. We can use the formula for the area of a triangle: area = (1/2) * base * height.

Plugging in the values, we get:

Area = (1/2) * 8 meters * 9 meters = 36 square meters.

Multiply the area of the base by the length of the prism.

The length of the prism is given as 12 meters.

Volume = area of base * length of prism = 36 square meters * 12 meters = 432 cubic meters.

Adjust for the shape of the prism.

Since the prism is a triangular prism, we need to divide the volume by 2.

Adjusted Volume = (1/2) * 432 cubic meters = 216 cubic meters.

Therefore, the volume of the triangular prism is 216 cubic meters.

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Answer:

C

Step-by-step explanation:

average rate of change is just the rate at which the graph goes up or down over the interval thats given. here, we're just looking at between when x=0 and x=2. however, the graph goes down more between 0 and 1 than it does between 1 and 2, which is why we're looking for the average. the graph goes down 4 in total. divide this change by 2 to get the average which is -2

Answer:

105 = (5x-70)

Step-by-step explanation:

You are trying to find x so you would have to place that in to finally get to the end where x = 5

Samantha often talks on her cell phone while driving. this can be distracting and increases her chance of having an accident. Don't use the phone at all while driving.

What is rules of driving?

I will advise her to refrain from using her phone at all while driving.

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The difference is 5 kilometers. Therefore, the plane will be 5 kilometers above the ground level when it passes directly over the airport.

(a) The plane will pass directly over the airport at 5:00 PM.

The  time at which the plane passes directly over the airport can be determined by calculating the time it takes for the plane to reach the airport from its initial position. Since the distance between the two points is known and the velocity of the plane is given, the time can be calculated by dividing the distance by the velocity.

These involves calculating the distance between the initial position of the plane and the position of the airport. The distance formula in three-dimensional space is used, which is given by the square root of the sum of the squares of the differences in the x, y, and z coordinates. By substituting the values, we can calculate the distance between the two points.

Next, we divide the distance by the magnitude of the velocity vector to obtain the time it takes for the plane to travel from the initial position to the airport. The magnitude of a vector is calculated by taking the square root of the sum of the squares of its components. By dividing the distance by the magnitude of the velocity, we obtain the time in hours.

Adding the time it takes to reach the airport (calculated from the initial position) to the time of noon, we can determine the time at which the plane will pass directly over the airport.

(b) The plane will be 20 kilometers above the airport when it passes.

The  height of the plane above the airport when it passes can be determined by subtracting the z-coordinate of the airport from the z-coordinate of the initial position of the plane.

These involves comparing the z-coordinate of the airport (which is 0) to the z-coordinate of the initial position of the plane (which is 5). By subtracting the z-coordinate of the airport from the z-coordinate of the initial position, we obtain the height of the plane above the airport.

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The missing number in the boxes using the concept of perfect square are;

1) 4

2) 7 and 2

3) 4

4) 3 and 9

5) 3

A perfect square is defined as a number that is the square of a whole number. For example, 36 is a perfect square being the square of 6. Other perfect squares that are between 0 and 1000 are 1, 4, 9, 16, 25, 3649, 64, e.t.c

1st box: We see it as;

___ * 2 * 2

Using the concept of perfect squares and the pattern given, we can say that the missing number is 4

2nd box: 14 * __ * ___

Using the concept of perfect squares and the pattern given, we can say that the missing numbers are respectively 7 and 2

3rd box: 2 * 8 * ___

Using the concept of perfect squares and the pattern given, we can say that the missing number is 4

4th box: __ * 3 * _____

Using the concept of perfect squares and the pattern given, we can say that the missing numbers are respectively 3 and 9

5th: 3 * ____

Using the concept of perfect squares and the pattern given, we can say that the missing number is 3

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Answer: about 43.5298

Step-by-step explanation:

Answer:

F. Hyperbola opening up/down

Step-by-step explanation:

Remember that you conic parent graph for a hyperbola up/down is:

\(\frac{(y-k)^2}{a^2} -\frac{(x-h)^2}{b^2} =1\)

Alternatively, you could use a graphing calc to graph the equation and figure out the conic type.

Answer:

Hyperbola opening up and down.

Step-by-step explanation:

Hyperbola opening up and down.

We determine  which way it opens as follows:

x is negative so we set x+1 = 0 .

That makes the term in y-2/3^2  = 1 , so when x = 0  y is positive so it opens upwards.

The scores needed in order to score in the highest 5% of the GMAT are given as follows:

At least 711.

The z-score of a measure X of a variable that has mean symbolized by \(\mu\) and standard deviation symbolized by \(\sigma\) is obtained by the rule presented as follows:

\(Z = \frac{X - \mu}{\sigma}\)

The mean and the standard deviation of GMAT scores are given as follows:

µ = 527, σ = 112.

The highest 5% of scores are composed by scores of the 95th percentile and above, hence the minimum score is X when Z = 1.645.

Then:

1.645 = (X - 527)/112

X - 527 = 1.645 x 112

X = 711.

The mean and the standard deviation of scores are given as follows:

µ = 527, σ = 112.

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The acceleration of a bus his speech changes from 126M/S to 3097 m/s over a period of three seconds is 990. 3 m/s^2

Acceleration is can be defined as the rate of change of the velocity of an object with respect to time.

It is also defined as the rate at which velocity changes with time, that is, in both speed and direction.

Accelerations are vector quantities because they are known to have both magnitude and direction.

The orientation of an object's acceleration is determined by the configuration of the net force acting on that object.

The formula for acceleration is given as;

Acceleration = change in velocity/time

Substitute the values

Acceleration = 3097 - 126 (m/s)/3 s

Divide the values

Acceleration = 990. 3 m/s^2

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