find the value of x in the circle​

The equation of the plane containing the two parallel lines v₁ = (0, 1, −8) t(6, 7, −5) and v₂ = (8, −1, 0) t(6, 7, −5) is 6x + 6y + 3z = 0.

What are parallel lines?

Parallel lines are coplanar infinite straight lines that do not intersect at any point in geometry. Parallel planes are planes that never meet in the same three-dimensional space. Parallel curves are those that do not touch or intersect and maintain a constant minimum distance.

To find an equation for the plane containing the two parallel lines v₁ = (0, 1, −8) t(6, 7, −5) and v₂ = (8, −1, 0) t(6, 7, −5),

We use the equation of a line: v = v₀ + tv₁

where v₀ and v₁ are points on the line and t is a real number.

Substitute the given points in for v₀ and v₁: v = (0, 1, −8) + t(6, 7, −5)

This equation of the plane is Ax + By + Cz = D, where A, B, C, and D are constants to be determined.

Equate the components:

0x + 1y - 8z = D....(1)

6x + 7y - 5z = D...(2)

Now, we subtract equation (1) from (2) and we get

6x - 0x + 7y - 1y - 5z + 8z = 0

6x + 6y + 3z = 0

Hence, the equation of the plane containing the two parallel lines v₁ = (0, 1, −8) t(6, 7, −5) and v₂ = (8, −1, 0) t(6, 7, −5) is 6x + 6y + 3z = 0.

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The measure of angles inside the rhombus are:

∠1 = 56

∠2 = 56

∠3 = 34

∠4 = 34

We have,

In a rhombus,

The opposite angle is congruent.

So,

(56 + 56) = ∠1 + ∠2

And,

∠1 and ∠2 are equal angles.

So,

112 = 2∠1

∠1 = 56

∠2 = 56

Now,

All four angles in side the rhombus = 360

112 + 112 + ∠x + ∠x = 360

2∠x = 360 - 224

2∠x = 136

∠x = 68

This ∠x is the angle inside the rhombus.

And, ∠x/2 = ∠3 = ∠4

So,

∠3 = 68/2 = 34

∠4 = 34

Thus,

The measure of angles inside the rhombus are:

∠1 = 56

∠2 = 56

∠3 = 34

∠4 = 34

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Answer:

x = 50

Step-by-step explanation:

sin 40º = 32 / x

0.64 = 32 / x

x = 32 / 0.64

x =~ 50

Answer:

The answer would be x =10

Step-by-step explanation:

Fill in 10

You welcome

The value of x in the figure ABCD is 10.

We know that rhombuses are a particular type of quadrilateral in Euclidean geometry. It is a unique instance of a parallelogram in which the diagonals meet at a 90-degree angle and all sides are equal.

Since the side lengths of a rhombus are equal, so the lengths of AB and DC are equal.

Now, 3x - 11 = x + 9

i.e. 3x - x = 9 + 11

i.e. 2x = 20

i.e. x = 10

Therefore the value of x in the figure ABCD is 10.

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To prove that the given transformation T is a linear transformation, we need to show that it satisfies the two conditions of linearity which are Additivity and homogeneity

1. Additivity: T(v1 + v2) = T(v1) + T(v2)
2. Homogeneity: T(c * v) = c * T(v)

where v1 and v2 are vectors, and c is a scalar constant.

Given T(c1 * v1 + c2 * v2), we want to show that it equals c1 * T(v1) + c2 * T(v2).

Step 1: Apply the transformation T to the sum of the vectors c1 * v1 + c2 * v2.
T(c1 * v1 + c2 * v2)

Step 2: Use the additivity property of linear transformations.
T(c1 * v1) + T(c2 * v2)

Step 3: Use the homogeneity property of linear transformations.
c1 * T(v1) + c2 * T(v2)

Since we have shown that T(c1 * v1 + c2 * v2) = c1 * T(v1) + c2 * T(v2), we can conclude that the given transformation T is indeed a linear transformation.

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Check the picture below.

so the volume will simply be the area of the hexagonal face times the height.

\(\textit{area of a regular polygon}\\\\ A=\cfrac{1}{4}ns^2\stackrel{\qquad degrees}{\cot\left( \frac{180}{n} \right)}~~ \begin{cases} n=\stackrel{number~of}{sides}\\ s=\stackrel{length~of}{side}\\[-0.5em] \hrulefill\\ n=6\\ s=12 \end{cases}\implies A=\cfrac{1}{4}(6)(12)^2\cot\left( \frac{180}{6} \right) \\\\\\ A=216\cot(30^o)\implies A=216\sqrt{3} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{area of the hexagon}}{(216\sqrt{3})}~~\stackrel{height}{(10)}\implies 2160\sqrt{3}~~\approx ~~3741.2~cm^3\)

Answer:

I can't see the statement

Step-by-step explanation:

-0.477  is the value of log 1 by 3 .

A logarithm is defined simply?

The logarithm represents the power to which a number must be raised to obtain another number (see Section 3 of this Math Review for more about exponents).

For instance, since ten raised to the power of two equals 100, the base ten logarithm of 100 is 2: log 100 = 2.

log (1/3)

= log1 - log3

= 0 - 0.477

 = -0.477

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The Maclaurin polynomials of orders n=0, 1, 2, 3, and 4 for the function 5/(1+x) are P0(x) = 5, P1(x) = 5 - 5x, P2(x) = 5 - 5x + 5x^2, P3(x) = 5 - 5x + 5x^2 - 5x^3, and P4(x) = 5 - 5x + 5x^2 - 5x^3 + 5x^4, respectively.

The Maclaurin polynomials are a way to approximate a function using a polynomial expansion centered at x = 0. The Maclaurin polynomial of order n for a function f(x) is given by Pn(x) = f(0) + f'(0)x + (f''(0)/2!)x^2 + (f'''(0)/3!)x^3 + ... + (f^n(0)/n!)x^n, where f'(0), f''(0), f'''(0), ..., f^n(0) are the derivatives of f(x) evaluated at x = 0.

In this case, the given function is f(x) = 5/(1+x). To find the Maclaurin polynomials of orders n=0, 1, 2, 3, and 4, we evaluate the function and its derivatives at x = 0 and substitute them into the general formula for the Maclaurin polynomials.

For n=0, P0(x) = 5, as f(0) = 5.

For n=1, P1(x) = 5 - 5x, as f(0) = 5 and f'(0) = -5.

For n=2, P2(x) = 5 - 5x + 5x^2, as f(0) = 5, f'(0) = -5, and f''(0) = 10.

For n=3, P3(x) = 5 - 5x + 5x^2 - 5x^3, as f(0) = 5, f'(0) = -5, f''(0) = 10, and f'''(0) = -30.

For n=4, P4(x) = 5 - 5x + 5x^2 - 5x^3 + 5x^4, as f(0) = 5, f'(0) = -5, f''(0) = 10, f'''(0) = -30, and f^4(0) = 120.

These Maclaurin polynomials provide polynomial approximations of the given function 5/(1+x) for different orders. The higher the order (n), the more terms are included in the polynomial expansion, resulting in a more accurate approximation of the original function around x = 0.

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Answer:

May I ask what subject you are behind in?

Answer:

A=16x^2

B=-12x

Step-by-step explanation:

I think this question is asking you to use box method. If so, imagine 8x times 2x is 16x^2, which would be the A value. Then, 2x times -6 is -12x, which is the B value. I'm sorry if thats not what the question is asking. Hope this helps though!

Answer:

o

Step-by-step explanatioon:

the probability that a tomato grown in the special soil will be a winner is approximately 0.0228 or 2.28%.

To find the probability that a tomato grown in the special soil will be a winner, we need to determine the probability that its diameter is greater than 4 inches.

Let's denote the mean diameter as μ and the standard deviation as σ.

Given:

Mean diameter (μ) = 3.2 in.

Standard deviation (σ) = 0.4 in.

To calculate the probability, we need to standardize the value 4 inches using the standard normal distribution.

The standardized value (z-score) can be calculated using the formula:

z = (x - μ) / σ

Substituting the values into the formula:

z = (4 - 3.2) / 0.4

z = 0.8 / 0.4

z = 2

Now, we need to find the probability of a z-score greater than 2. This can be determined using a standard normal distribution table or a calculator.

Looking up the z-score of 2 in a standard normal distribution table, we find that the probability associated with it is approximately 0.9772.

However, since we are interested in the probability of the tomato's diameter being greater than 4 inches, which corresponds to the right tail of the distribution, we subtract this probability from 1 to obtain the desired probability:

P(diameter > 4) = 1 - 0.9772 ≈ 0.0228

Therefore, the probability that a tomato grown in the special soil will be a winner is approximately 0.0228 or 2.28%.

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The probability that client D will be able to live to be 59 years old is 0.4.

Youe information is incomplete. Therefore, an overview of probability will be given.

Let's assume that there is an entire population of 50 people and the number of those that lives to 59 years is 20.

Therefore, the probability that can be deduced of those that live to 59 years will be:

= 20/50 × 100

= 2/5 × 100.

= 40%

= 0.4

In conclusion, the probability is 0.4.

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Answer:

of course ,the refree or the umpire

Answer:

9) 128
10) 78
11) 31
12) 148

Step-by-step explanation:

9) we know that the segment across from the angle 48° is double the angle.

48 · 2 = 96

The segments around the circle should all add up to 360 so we add the two segments we know to find the unknown segment.

136 + 96 = 232

360 - 232 = 128

The answer for 9 is 128.

10)

61 + 80 = 141

180 - 141 = 39

39 * 2 = 78

The answer for question 10 is 78.

11)

236 + 62 = 298

360 - 298 = 62

62 ÷ 2 = 31

The answer for question 11 is 31.

12)

50 · 2 = 100

100 + 112 = 212

360 - 212 = 148

The answer for question 12 is 148.

Answer:

180

Step-by-step explanation:

\(\frac{6}{2} x^{2} | \frac{8}{2}\)

192-12=180

is there a picture to help me underdtsnd what we are trying to do with the questionAnswer:

Step-by-step explanation:

Answer:

not a sloution

Step-by-step explanation:

93÷6 is 15.5 not 15 w=15.5

Answer:

SAS

Step-by-step explanation:

SEE ATTACH FOR MATH WORK.

Answer:

Neither

Step-by-step explanation:

y - 4 = 7(x - 6)

y - 4 = 7x - 6

  +4         +4

y = 7x - 2

______________

y = 5

x = 4

5 = 7(4) - 2

5 = 28 - 2

5 = 26

No

______________

y = 5

x = 6

5 = 7(6) - 2

5 = 42 - 2

5 = 40

No

Hope this helped! Have a nice day! Plz mark as brainliest!!! :D

-XxDeathshotxX

Answer:

solution,

\(f(x) = - {x}^{2} - 3x \\ f( - 10) = {-(10)}^{2} - 3 \times 10 \\ \: \: \: \: \: \: \: \: \: = -100 - 30 \\ \: \: \: \: \: = -130\)

hope this helps...

Good luck on your assignment..

Answer:

-130

Step-by-step explanation:

f(x) = -x^2 -3x

Let x= 10

f(10) = -(10)^2 -3*10

    = -100 -30

    = -130

Answer:

4

Step-by-step explanation:

7h-15h+40=-72

-8h=-32

h=4

Cash received for interest during  2014 was $3,500 .The following equation can be used to determine the amount of money received as interest in 2014:

Amount received as interest equals Interest Income for 2014 plus the decline in Interest Receivable

The difference between the balance of interest receivable at December 31, 2013, and at December 31, 2014, can be used to calculate the decline in interest receivable:

Reduced interest due = Interest due at December 31, 2013, minus Interest due at December 31, 2014, which equals $1,100 minus $1,400, or -$300.

The fact that the balance of interest receivable increased from 2013 to 2014 indicates that the company produced more interest money during the year than it received. In light of this, the money earned on interest in 2014 is:

Interest income from 2014 plus a decrease in interest receivable equals $3,200 minus (-$300) to $3,500 in interest payments received.

Hence, $3,500 is the correct response (C).

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The given statement  "The Puritan colony of Massachusetts Bay was not known for its high levels of religious toleration." is False because, In fact, the Puritans who founded the colony in the early 17th century were known for their strict religious beliefs and practices.

They came to the New World seeking to establish a "city upon a hill" that would serve as a shining example of Christian virtue and piety. As a result, they were deeply suspicious of anyone who did not share their beliefs and sought to create a society that was strictly controlled by the church.

One of the most famous examples of the lack of religious tolerance in Massachusetts Bay was the case of Anne Hutchinson. Hutchinson was a Puritan woman who held religious meetings in her home where she preached her own interpretations of scripture. Her views were considered heretical by the Puritan leadership, and she was put on trial and ultimately banished from the colony.

Similarly, the Puritans were hostile to Quakers and other religious groups that they saw as a threat to their way of life. Quakers were often subjected to harsh punishments such as public whippings and banishment.

In short, while the Puritans of Massachusetts Bay may have believed in the importance of religious freedom, they did not practice it in a way that we would recognize today. Their society was highly regulated and tightly controlled by the church, and dissenters were not tolerated.

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Answer:

y ≤ 1/3x - 4

Step-by-step explanation:

it could not be options 3 or 4 because the y-intercept is -4, not +4

I picked a point in the shaded area to see which inequality, the first or the second, would make it true; the point I used was (3, -4)

1st option:  y ≥ 1/3x - 4        Is this true? -4 ≥ 1/3(3)  No, -4 is not GE 1

2nd option: y ≤ 1/3x - 4        Is this true? -4 ≤ 1/3(3)  Yes, -4 is LE 1  

Answer: 0

Step-by-step explanation:

In this equation 0/y would equal 0, no matter what y is. 0/y means that there's 0 items out of y items (ex: substitute y with 2, it would be 0/2). Beginning with 1*0 (one times zero) the answer there would be 0. Since we already know that 0/y equals 0, the rest of the equation would be 0 - 0 which would equal to 0. Hope this explanation helps :)

\(\\ \sf\longmapsto 0-\dfrac{0}{y}\)

\(\\ \sf\longmapsto \dfrac{0-0}{y}\)

\(\\ \sf\longmapsto \dfrac{0}{y}\)

\(\\ \sf\longmapsto \infty\)

\(\\ \sf\longmapsto 0\)

Answer:

maximum

Step-by-step explanation:

Concepts

The vertex of a graph represents the turning point in a parabola.

Example: The graph shown in your question first steadily increases, but then at the point (1,3), it begins to go down. The point (1,3) is called the vertex in this case because it symbolizes the turning point.

Application

We are asked to determine if the vertex of this graph is a maximum or minimum. If the vertex is maximum, it's the highest point on the graph. If it's the minimum, it's the lowest point on the graph. Using your stunning eyes, you can see that the vertex is the highest point on the graph, making the answer maximum.