On a number​ line, suppose the coordinate of A is​ 0, and AR = 17. What are the possible coordinates of the midpoint of AR ​?

Answer:

no solution

Step-by-step explanation:

Given

\(\frac{1}{3}\) (21 - 3a) = 6 - a ( multiply through by 3 to clear the fraction )

21 - 3a = 18 - 3a ( subtract 21 from both sides )

- 3a = - 3 - 3a ( add 3a to both sides )

0 = - 3 ← not possible

This indicates the equation has no solution

Answer:

x = - 4/3

Step-by-step explanation:

6x +4 = 3x

-3x -3x

6x-3x = 3x

3x +4 = 0

-4 -4

3x = -4

_ _

3 3

x = -4/3

1. First we need to combine like terms, so we subtract 3x to both sides.

2. Then we combine the like terms

3. next move the 4 to the other side by subtracting. This will help keep the ex by itself.

4. now we divide 3 to both sides, leaving you with x = -4/3 as your answer.

1) 6x + 4 = 3x

______________

6x + 4 = 3x

6x = 3x - 4

6x = 3x - 4 - 3x

3x = -4

3x/3 = -4/3

x = - 4/3 ☑

In general, equipotential lines do not cross each other. However, there are certain circumstances where they can cross.

Equipotential lines represent regions of equal potential in a physical system, such as electric or gravitational fields. These lines are perpendicular to the field lines and indicate points with the same potential value. Under normal conditions, equipotential lines do not intersect because each line corresponds to a unique potential value, and no two points in a system can have the same potential value.

However, there are situations where equipotential lines can cross. This can occur when there are multiple sources of potential in the system or when the potential varies in a complex manner. In such cases, the equipotential lines may intersect each other, indicating regions with different potential values coming into close proximity.

It is important to note that the crossing of equipotential lines does not violate the basic principles of potential theory. Instead, it reflects the intricate and complex nature of the underlying physical system, where multiple influences or varying potentials can lead to the crossing of equipotential lines.

Therefore, while it is uncommon for equipotential lines to cross, certain circumstances can give rise to such crossings in systems with multiple sources of potential or complex potential variations.

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Answer:

I do not really know but I am trying right I think it is D like none of these sound right sorry if you get it wrong but just trying to help.

Step-by-step explanation:

The statement (1) "the sum of two diagonal matrices of the same size is a diagonal matrix" is true. The correct option is a.

When you add two diagonal matrices of the same size, each corresponding element in the resulting matrix is the sum of the corresponding elements in the original matrices. Since the original matrices are diagonal, all the elements except for the diagonal elements are zero. So when you add them together, the only non-zero elements will be the diagonal elements, making the sum a diagonal matrix.

On the other hand, the statement (2) "the product is also diagonal" is false. When you multiply two diagonal matrices of the same size, the resulting matrix will not necessarily be diagonal. The product of two diagonal matrices is obtained by multiplying the corresponding elements in each row of the first matrix with the corresponding elements in each column of the second matrix and summing them up. This means that non-diagonal elements may be non-zero if the corresponding rows and columns have non-zero elements.

In summary, the sum of two diagonal matrices is a diagonal matrix, but the product of two diagonal matrices is not necessarily diagonal. Therefore, the correct answer is (a) true.

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Answer:

Step-by-step explanation:

If an input values has two same output values, pair of input-output values will not represent the function.

Set of ordered pairs of input-output values represent a function, if every input value has a different or same output value.

1(a). Yes. Relation and function.

1(b). Every input value has one output value.

The expression that can be added to both sides of the given quadratic equation to change it to a perfect square trinomial is \(\frac{b^2}{4a^2}\) .

The standard form of perfect square trinomial is given as:

\(ax^2 + bx + c\)

here,

a = coefficient of x² .

b = coefficient of x.

c = constant .

Given the quadratic equation:

\(x^2 + \dfrac{b}{a}x\ +\ ?= -\dfrac{c}{a}\ +\ ?\)

The above equation is needed to be changed to a perfect square trinomial.

To change the quadratic equation into the perfect square, the squared of half the value of the coefficient of degree one variable can be added to both sides of the equation.

Therefore, the term to be that is needed to be added to the given quadratic equation is \(\frac{b^2}{4a^2}\) .

Now, the quadratic equation can be written as:

\(x^{2} + \frac{b}{a} x + \frac{ b^{2}}{4a^{2}} = \frac{-c}{a} + \frac{ b^{2}}{4a^{2}}\)

Therefore, \(\dfrac{b^2}{4a^2}\) should be added to both sides to convert it into the perfect polynomial.

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The given question is incomplete. Probably the complete question is:

When deriving the quadratic formula by completing the square what expression can be added to both sides of the given equation to create a perfect square trinomial?

\(x^2 + \dfrac{b}{a}x\ +\ ?= -\dfrac{c}{a}\ +\ ?\)

A plane in r3 is defined parametrically as the set of points is n · u * b + n · v * c = n · (P - a).

To give an implicit description of a plane in R3, we need to find a single equation that describes all the points in the plane.

Let's assume that the plane is defined parametrically as the set of points:

P(u,v) = a + u * b + v * c

where a, b, and c are vectors in R3 and u and v are parameters.

To find the implicit equation, we can start by taking the cross product of the vectors b and c, which gives us a normal vector to the plane. Let's call this vector n.

n = b x c

Next, we can take the dot product of the normal vector n with the vector (P - a), where P is any point on the plane. This will give us an equation that describes all the points in the plane:

n · (P - a) = 0

Expanding this equation, we get:

n · (u * b + v * c) = n · (P - a)

Simplifying further, we get:

n · u * b + n · v * c = n · (P - a)

This is the implicit equation of the plane in R3.

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2inch = 8feet

1 1/2inch = 6feet

2 3/4 inch = 11 feet

4 7/8 inch = 19.5 feet

According to the given question.

1/4 inch = 1ft

⇒ 1 inch = 4ft

Therefore,

2inches = 2 × 4 feet = 8feet

1 1/2inches

= 3/2 inches

= 3/2 × 4feet

= 6feet

2 3/4 inches

= 11/4 inch

= 11/4 × 4feet

= 11 feet

4 7/8 inch

= 39/8 inch

= 39/8 × 4

= 19.5 feet

Hence,

2inch = 8feet

1 1/2inch = 6feet

2 3/4 inch = 11 feet

4 7/8 inch = 19.5 feet

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Answer:

The mode is the least used of the measures of central tendency

Step-by-step explanation:

Answer:

D can others can't..............

The length of the longer leg of a 30-60-90 special right triangle is option 3) 17√3 yd.


In a 30-60-90 special right triangle, the ratio of the side lengths is 1 : √3 : 2, where the shortest leg is opposite the 30-degree angle, the longer leg is opposite the 60-degree angle, and the hypotenuse is opposite the 90-degree angle.

Given that the shorter leg is 17 yd, we can determine the length of the longer leg using the ratio. The longer leg is √3 times the length of the shorter leg. Therefore, the longer leg is 17√3 yd.

The answer options are:

17 yd (incorrect, this is the length of the given shorter leg)
17√2 yd (incorrect, this does not follow the ratio for a 30-60-90 triangle)
17√3 yd (correct, matches the ratio and is the length of the longer leg)
34 yd (incorrect, this is double the length of the shorter leg and does not follow the ratio).

Hence, the correct answer is option 3) 17√3 yd.

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The number of additional gifts Jeff can buy with the remaining cost is 1.

Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,

As per the given,

Total cost = $15 + $20 = $35

Total spent = $50

Remaining = $50 - $35 = $15

Since one gift cost $10

Thus, 15/10 = 1.5 since the number of gifts will be the whole number so it will be round to bottom 1 gift.

Hence "With the money still available, Jeff can purchase 1 more present".

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Answer:

5

Step-by-step explanation:

Based on the given conditions, formulate:: 8-3

Calculate the sum or difference: 5

Answer:

60 minutes

Step-by-step explanation:

Latitude and longitude are measuring lines used for locating places on the surface of the Earth. They are angular measurements, expressed as degrees of a circle. A full circle contains 360°. Each degree can be divided into 60 minutes, and each minute is divided into 60 seconds.

One degree of latitude is equal to approximately 60 nautical miles or 69 statute miles. Since a minute of latitude is one-sixtieth of a degree, it follows that one degree of latitude is equal to 60 minutes.

This means that there are 60 nautical miles or 69 statute miles between two points that differ by one minute of latitude.

The minute of latitude is a widely used unit for measuring distances on Earth, particularly in navigation and aviation. It allows for precise calculations and is crucial for determining positions accurately. Understanding the relationship between degrees of latitude and minutes helps in determining distances, estimating travel times, and ensuring accurate navigation across the globe.

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Answer:

A=60

Step-by-step explanation:

Add 28+20+12

A=60

Answer:

3.

Step-by-step explanation:

12a+20a+28a=180(sum of interior angle of a triangle )

or, 60a=180

or, a= 180/60

therefore ..... a=3

Step-by-step explanation:

Examples of like terms in math are x, 4x, -2x, and 7x. These are like terms because they all contain the same variable, x. The terms 8y2, y2, and -2y2 are like terms as well. These all contain the same variable, y, raised to the second power.

Answer:

The GCF is going to be 20

Step-by-step explanation:

This Is how I find the GCF of 2 numbers. I find the prime factorization first, then I find the common factors and multiply them. Here

The prime factorization of 20, 2 × 2 × 5= 20

The prime factorization of 80, 2 × 2 × 2 × 2 × 5 = 80

The common factors are 2, 2, and 5. We multiply those to get the GCF.

2 × 2 × 5 = 20

Answer: Hello!

The two numbers are 8 and 5 .

Step-by-step explanation:

Mark me brainest please. Hope I helped! Hope you make an 100%

Anna♥

The surface area of the part of the plane z = 1 - x - y that lies in the first octant is √3/2. So, option B is correct.

To find the surface area, we need to calculate the surface integral ∬dS over the given region. To determine the limits of integration, we set z = 0 in the equation of the plane,

0 = 1 - x - y.

Solving for y, we have,

y = 1 - x.

Since the surface lies in the first octant, we have the following bounds for x and y,

0 ≤ x ≤ 1,

0 ≤ y ≤ 1 - x.

Taking the partial derivatives, we have,

∂z/∂x = -1,

∂z/∂y = -1.

Substituting these values, the surface area integral simplifies to,

Surface area = ∬√(1 + (-1)² + (-1)²)dA

            = ∬√(1 + 1 + 1)dA

            = ∬√3dA.

Now, we integrate √3 over the region defined by the given bounds,

Surface area = ∫₀¹ ∫₀^(1-x) √3 dy dx

            = ∫₀¹ [√3y] evaluated from 0 to (1-x) dx

            = ∫₀¹ √3(1-x) dx

            = √3 ∫₀¹ (1-x) dx

            = √3 [(x - (x²/2))] evaluated from 0 to 1

            = √3 [1 - (1/2) - (0 - 0)]

            = √3/2.

Therefore, the surface area of the part of the plane z = 1 - x - y lying in the first octant is √3/2. The correct answer is B. √3/2.

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Complete question - Find the surface area of the part of the plane z = 1 - x - y which lies in the first octant.

A. √3/3

B. √3/2

C. √3

D. √2

E. √2/2

Answer:

its c because the x is not repeating so let's say x are people and y is the are the location. multiple x values can give the the same y but an x value can only give one y if x give more than one y value, or in other words repeats itself, then is not a function

Answer: (x, y)=(-1-3y, y), yER

Step-by-step explanation: hope this helps :)

The series ∑n=1∞8n+19−n∑n=1∞​−n8n+19​ is convergent, but the sum does not exist (divergent).

To determine whether the series ∑n=1∞8n+19−n∑n=1∞​−n8n+19​ is convergent or divergent, we can analyze its behavior.

By observing the terms of the series, we can see that the general term 8n+19−n−n8n+19​ can be simplified to −8−19n−8−n19​. As nn approaches infinity, the term tends towards −8−8.

To further confirm this, we can evaluate the limit of the general term as nn approaches infinity:

lim⁡n→∞(−8−19n)=−8−0=−8limn→∞​(−8−n19​)=−8−0=−8

Since the limit of the general term is a finite value (-8), the series is convergent.

To find the sum of the series, we can use the formula for the sum of an infinite geometric series:

S=a1−rS=1−ra​

where aa is the first term and rr is the common ratio. In this case, the first term is −8−8 and the common ratio is 11. Plugging in these values, we get:

S=−81−1=−80S=1−1−8​=0−8​

The denominator is zero, which means the sum does not exist. Therefore, the series diverges.

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Answer:

1 Kobocoin = 2.344999 Nigerian Naira (NGN)

Step-by-step explanation:

The answer that describes the polygon RSTU is as follows:

A quadrilateral is a polygon with 4 sides. Therefore, let's use the properties to find the name of the shape  RSTU as follows:

The polygon has 4 sides therefore, it is a quadrilateral.

The quadrilateral has opposite side parallel to each other. The opposite sides are RS and TU.

A trapezoid is a quadrilateral with only one pair of opposite side parallel to each other.

Therefore, the shapes that defines the polygon are as follows:

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Answer:

i mean like my sister likes todoroki

Step-by-step explanation:

Answer:

not sure about endings but for openings

Tokyo Ghoul: unravel, katharsis

Death Note: The world

Parasyte: Let me hear

MHA: Polaris, Peace sign, Odd Future

that's bout it for now

Step-by-step explanation:

The required experimental probability that the next batter will get a hit is 2/11.

A number that indicates how likely an event is to occur is called its probability. It is communicated as a number in the reach from 0 and 1, or, utilizing rate documentation, in the reach from 0% to 100 percent. The higher the probability, the more likely the event is to occur.

The experimental probability of an event happening is defined as the number of times the event occurs divided by the total number of trials or events.

In this case, we are given that 4 out of 22 batters have gotten a hit so far. Therefore, the experimental probability that the next batter will get a hit is:

P(hit) = Number of hits / Total number of batters

P(hit) = 4/22

Simplifying:

P(hit) = 2/11

Therefore, the experimental probability that the next batter will get a hit is 2/11.

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Answer:

I think the answer is B

Step-by-step explanation:

Sorry if it is wrong

Answer: x=-4

Step-by-step explanation: