HELP! What is the ordered pair that is a reflection over the x-axis for the point shown?


(5, 6)

(−5, −6)

(6, 5)

(−6, −5)

Answer:

See explanation

Step-by-step explanation:

First One: +4: 2 + 4(n-1) for value n

Second One: 7*((n-1)*(n)) for value n > 1

Answer:

To solve the given system of equations using the substitution method, we need to solve one equation for one variable and then substitute that expression into the other equation for that same variable. Let's solve the second equation for y.

-x + y = 4

y = x + 4

Now we can substitute this expression for y into the first equation and solve for x.

-2x + 2(x + 4) = 7

-2x + 2x + 8 = 7

8 = 7

The equation 8 = 7 is not true, which means the system of equations has no solution. We can see this visually by graphing the two lines. They are parallel and will never intersect, which means there is no point that satisfies both equations.

Therefore, the solution to the system of equations is "No solution."

Note: Please be sure to double-check your work to avoid mistakes.

Step-by-step explanation:

Hope this helps you!! Have a wonderful day/night!!

Answer: $50

Step-by-step explanation:

Answer:

As the line EF intersects the line AB, angles ∠BHE and ∠AHF are vertically opposite angles. Therefore, according to the Vertical Angles Theorem, these two angles are congruent.

Assuming line AB and line CD are parallel, the line EF intersects parallel lines. Therefore, angles ∠AHF and ∠CGF are in the same relative position. Therefore, according to the Corresponding Angles Theorem, these two angles are congruent.

According to the Substitution Property of Equality, as ∠BHE ≅ ∠AHF and ∠AHF ≅ ∠CGF, then ∠BHE ≅ ∠CGF.

Step-by-step explanation:

When two straight lines intersect, the opposite vertical angles are congruent.

When a straight line intersects two parallel straight lines, the angles in the same relative position are congruent.

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As the line EF intersects the line AB, angles ∠BHE and ∠AHF are vertically opposite angles. Therefore, according to the Vertical Angles Theorem, these two angles are congruent.

Assuming line AB and line CD are parallel, the line EF intersects parallel lines. Therefore, angles ∠AHF and ∠CGF are in the same relative position. Therefore, according to the Corresponding Angles Theorem, these two angles are congruent.

According to the Substitution Property of Equality, as ∠BHE ≅ ∠AHF and ∠AHF ≅ ∠CGF, then ∠BHE ≅ ∠CGF.

If there are 12 members at a conference and they all shook hands with each other both before and after the meeting, then there were 132 handshakes.

The number of handshakes before and after the meeting between 12 members can be found by using the combination formula.

The combination formula can be given by :

Number of combinations =  n! / r! ( n - r)!

Here, n = total number of items in the set

r = number of choosing items from the set

In this problem, n = 12 and r =2 for finding the number of handshakes before the meeting

Therefore,

number of combinations = 12! / 2! ( 12 - 2)!

number of combinations = 12! / 10! × 2!

number of combinations = 66

Hence, there were 66 handshakes before the meeting. To find the number of handshakes both before and after the meeting:

number of total handshakes = 66 × 2 = 132

Hence the number of handshakes before and after the meeting is equal to 132.

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If line J is perpendicular of line K, they should cross to make an X. If the slope of line K is -5, Line J would be 5.

The tendency to perceive meaningful patterns in random sequences of outcomes often leads us to underestimate the extent to which outcomes result from CHANCE .

The word "chance" describes unpredictability or the unexpected in relation to things like events that happen without a clear reason why and without human intention.

The conclusion is that chance is the tendency of people to recognize different kinds of significant patterns in a random order or sequence in addition to evaluating any kind of outcome. Because chance can also result in an underestimating of a system's conclusion or result, it is crucial to consider it when conducting an investigation.

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To find an equation of a plane through a given point and perpendicular to a given line, you can follow these steps:

1. Find the direction vector of the given line. This can be done by subtracting the coordinates of any two points on the line. Let's denote this vector as "d".

2. Find the normal vector of the plane. Since the plane is perpendicular to the line, its normal vector will be the same as the direction vector of the line. So, the normal vector of the plane is "d".

3. Use the coordinates of the given point on the plane to find the equation of the plane. Let's denote the coordinates of the point as (x₀, y₀, z₀).

The equation of the plane can be written as:

Ax + By + Cz = D,

where A, B, C are the components of the normal vector "d", and x, y, z are the variables representing any point on the plane.

To find the values of A, B, C, and D, substitute the coordinates of the given point into the equation:

A(x₀) + B(y₀) + C(z₀) = D.

Therefore, the equation of the plane through the given point and perpendicular to the line is:

d₁(x - x₀) + d₂(y - y₀) + d₃(z - z₀) = 0,

where (d₁, d₂, d₃) are the components of the direction vector "d" of the line, and (x₀, y₀, z₀) are the coordinates of the given point.

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Find the equation of the plane passing through the point (−1,3,2) and perpendicular to each of the planes x+2y+3z=5 and 3x+3y+z=0.

Answer:

3

Step-by-step explanation:

substitute x = 4 , y = 6 into the expression

y - (5 - (x - y))

= 6 - (5 - (6 - 4))

= 6 - (5 - 2))

= 6 - 3

= 3

Answer:

Answer D.

Step-by-step explanation:

Because all the other tables don't show enough lunch combinations for the students.

Answer:

c= 15

Step-by-step explanation:

a= # of adults c= # of children

a+c=20

15a + 10c = 225

c= 20-a

substitute 20-a into 15a +10c =225

15a + 10(20-a)= 225

solve for c

hope this helped! :)

Answer:

a)4/3

b)9/20 or 0.45

c)96

Step-by-step explanation:

a) j=3

72=20j+9p

72=20(3)+9p

72=60+9p

-9p=60-72

-9p=-12

p=-12/-9

p=4/3

b) m =1/2

20k-5=8m

20k-5=8(1/2)

20k-5=4

20k=4+5

20k=9

k=9/20 or 0.45

c) k=18

p+1/3k-20=82

p+1/3(18)-20=82

p+6-20=82

p=82+20-6

p=96

idk if this is right but I tried my best heh-

Answer:

20

Step-by-step explanation:

a^2 + b^2 = c^2

12^2 + 16^2 = c^2

144 + 256 = c^2

400 = c^2

20 = c

The length of BC = 20

Answer:

This is an equilateral triangle, which means all the sides are equal.

Hence, all three angles are the same.

\(3x=\frac{180}{3}\)

\(3x=60\)

Therefore,

\(x=20\)

Answer:

20

Step-by-step explanation:

3x+3x+60= 180

6x= 180-60

6x= 120

Where the above is given, the required angle m∠BAC = 45°.

In triangle ABC. AC represents the foreman’s line of sight to the top of the landfill. Landfill height is BC

The triangle is geometric shape which includes 3 sides and sum of interior angle should not grater than 180°

According to conditions angle b = 90°

The sum of angles of a triangle= 180°

That is a + b + c = 180

Therefore, c = a

       a = (180 - b)/2

          = (180 - 90) / 2

          = 90 / 2

          = 45°

Hence, the required angle m∠BAC = 45°

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Full Question:

Although part of your question is missing, you might be referring to this full question:

Question 1 Create Triangle ABC by drawing AC. Segment AC represents the foreman’s line of sight to the top of the landfill. What is Angle m BAC?

The domain of function f (x) = x² - 10x + 22 is, (-∞, ∞).

A relation between a set of inputs having one output each is called a function.

Given that;

The function is,

⇒ f (x) = x² - 10x + 22

Now, We know that;

Domain of a function is defined as a set of value for which the value of function is real and defined.

Here, There is no points for x where the function f(x) is non defined.

Hence, Whole number line is the domain for the given function.

So, The domain of function f (x) = x² - 10x + 22 is, (-∞, ∞).

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By linear search, We discovered that element 9 is the seventh in the sequence, meaning that number 9 appears on the list in the sequence 1, 3, 4, 5, 6, 8, 9, 11.

A grouping of numbers in a specific order is known as a sequence. On the other hand, a series is described as the accumulation of a sequence's constituent parts.

Given,

Sequence = 1, 3, 4, 5, 6, 8, 9, 11

By linear search,

The first element is compared to 9 first. If the element's value is less than nine, we compare the subsequent element with nine, and so on.

Step 1: 9 is not the same as 1.

Step 2: 9 is not the same as 3.

Step 3: 9 is not the same as 4

Step 4: 9 is not the same as 5

Step 5: 9 is not the same as 6

Step 6: 8 and 9 are not the same.

Step 7: 9 equals 9.

We discovered that element 9 is the seventh in the sequence, meaning that number 9 appears on the list.

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Answer:

106/360

29.4%

.................

Answer:

36

Step-by-step explanation:

2(10)+4^2

20+4^2

20+16

36

Answer: The result of the math formula =2*10+4^2 is 28.

To calculate this formula, you first need to perform the exponentiation operation of 4^2, which is 16. Then, you multiply 2 by 10, which gives you 20. Finally, you add 20 to 16, which gives you the final answer of 28.

The condition / assumption that is NOT necessary for the two-sample inference for comparing the means of two populations is "Known population standard deviations, sigma1 and sigma2".

In the two-sample inference, we are comparing the means of two populations. There are three main conditions / assumptions that must be met in order to use this method:

1. Normally distributed data or a large enough combined sample size: This assumption is necessary because the two-sample inference is based on the central limit theorem, which states that the sampling distribution of the sample mean is approximately normal if the sample size is large enough.

2. Independent random samples: This assumption is necessary because we want to ensure that the samples are representative of the populations they are drawn from, and that the samples are not influenced by each other.

3. Equal variances: This assumption is necessary because the two-sample inference is based on the assumption that the two populations have the same variance.

The assumption of "Known population standard deviations, sigma1 and sigma2" is not necessary for the two-sample inference. In fact, we usually do not know the population standard deviations, and we use the sample standard deviations to estimate them.

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Step-by-step explanation:

To find the mean, you add all the numbers and divide by how many there are.

In this case, you add -54,-32,-70,-25,-65, and -42. Then you divide by 6 because there are 6 numbers.

When you add them all, you get -288.

Now divide.

-288/6=-48

Hope it helps!

Answer:

-48

so you add all the numbers together, which will give you -288

there are 6 terms, so you divide -288 by 6

gives you your answer of -48

Answer:

3y = 2(x -8)

Step-by-step explanation:

this is the sol I could provide

The correct answer is y-0=2/3•(x-8).

Use the given slope and point to substitute into the point-slope formula y−y1=m(x−x1).

The volume of the given combined solids is 675 cm³.

The given combined solid is made up of two solids. A rectangular solid and a triangular prism. The dimensions of the rectangular solid are length, width, and height 15 cm, 6 cm, and 5 cm, respectively, while the triangular prism has a height of 6 cm and a base of 5 cm.

The rectangular solid is placed on the triangular prism such that the rectangular solid's width coincides with the base of the prism's triangle.Find the volume of the given combined solids.

Since the rectangular solid is on top of the triangular prism, we will compute the two volumes separately and then add them together to obtain the combined volume.

Volume of rectangular solid = l × w × h= 15 cm × 6 cm × 5 cm= 450 cm³

Volume of triangular prism= 1/2 × base × height × length= 1/2 × 5 cm × 6 cm × 15 cm= 225 cm³

To get the combined volume, we add the two volumes together:Combined volume= 450 cm³ + 225 cm³= 675

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Answer:

1

Step-by-step explanation:

x/81

x=81

81÷81=1

--------------------

Answer:

Answer:

D

Step-by-step explanation:

Firstly, the question is phrased very very badly as the four answers provided are coordinate points rather than how far apart the cities are in units.

To calculate the distance between two points, we have to use Pythagoras' Theorem as it's just pretty much a right-angle triangle. Please look at the (terribly drawn) image provided.

Keep in mind that these points are only roughly placed on the map.

But firstly, to use Pythagoras' Theorem (a^2 + b^2 = c^2), we must find the length of the two sides.

To find the length of the horizontal line (which from now on I'll refer to as 'a'), we must subtract the smaller x value from the larger one.

47 - 35 = 12

To find the length of the vertical line (which from now on I'll refer to as 'b'), we must subtract the smaller y value from the larger one.

122 - 78 = 44

I assume that the answer you should pick is D. (12, 44)

However, that doesn't exactly answer the question... it's worded a little weirdly.

To solve the rest of the equation, do the following:

Now that we know that the length of a = 12 and the length of b = 44, we can use Pythagoras' Theorem.

a^2 + b^2 = c^2

12^2 + 44^2 = c^2

144 + 1936 = c^2

2080 = c^2

c = \(\sqrt{2080}\)

c = 45.61

The answer is 45.61 units.

Yes. \(f(x)\) is a PDF if

• \(f(x) \ge 0\) for all \(x\) in the support; this is true, since \(e^{-x}>0\) for all \(x\), and multiplying a positive number \(x\) doesn't change this fact;

• the integral of \(f(x)\) over its support is 1; this is also true, since

\(\displaystyle \int_{-\infty}^\infty f(x) \, dx = \int_0^\infty xe^{-x} \, dx = 1\)

which can be computed by parts.

Answer:

10.75

Step-by-step explanation:

If a=5,

a(2.15) = 5(2.15)

           = 10.75