Round the numbers to the nearest ten thousands.

62 389-
65 405-
51 330-
343 021-
102 779-​

The vertex of point A' in the dilated triangle A'B'C' is (6, 4.5).

1. Start by calculating the distance between the vertices of the original triangle ABC:

  - Distance between A(4, 3) and B(3, -2):

    Δx = 3 - 4 = -1

    Δy = -2 - 3 = -5

    Distance = √((-\(1)^2\) + (-\(5)^2\)) = √26

  - Distance between B(3, -2) and C(-3, 1):

    Δx = -3 - 3 = -6

    Δy = 1 - (-2) = 3

    Distance = √((-6)² + 3²) = √45 = 3√5

  - Distance between C(-3, 1) and A(4, 3):

    Δx = 4 - (-3) = 7

    Δy = 3 - 1 = 2

    Distance = √(7² + 2²) = √53

2. Apply the scale factor of 1.5 to the distances calculated above:

  - Distance between A' and B' = 1.5 * √26

  - Distance between B' and C' = 1.5 * 3√5

  - Distance between C' and A' = 1.5 * √53

3. Determine the coordinates of A' by using the distance formula and the given coordinates of A(4, 3):

  - A' is located Δx units horizontally and Δy units vertically from A.

  - Δx = 1.5 * (-1) = -1.5

  - Δy = 1.5 * (-5) = -7.5

  - Coordinates of A':

    x-coordinate: 4 + (-1.5) = 2.5

    y-coordinate: 3 + (-7.5) = -4.5

4. Thus, the vertex of point A' in the dilated triangle A'B'C' is (2.5, -4.5).

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Answer: 512 un³

Step-by-step explanation:

Volume formula for a cube

\(\boxed{\boxed{\bf V= a^3 }}\)

Then :

\(\rm V=a^3=8^3=512 en^3\)

(un- Unit of measurement )

512 units with a 3 on the top right. lol

The shape is a depiction of how the diagonals of a rectangle have the same length and bisect each other.

In a rectangle, the diagonals are perpendicular bisectors of each other, which means that they intersect each other at their midpoints and divide each other into two equal parts. Moreover, since a rectangle has congruent opposite sides, the two diagonals are also congruent to each other.

We can see this with the diagonals, EG and DF as they bisect each other and intercept at the halfway point of H.

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The question is:

How does the figure prove the following statement:

The diagonals of a rectangle have the same length and bisect each other.

Answer:

(n/-5) + 1 < = 7

I think is the answer ^^

Step-by-step explanation:

Answer:

Step-by-step explanation:Perpendicular lines have a slope that is the negative reciprocal of the given line.

For example, if a given line has the slope 3/2, the the perpendicular line would have the slope -2/3.

For the given line: y = 4x - 7, the perpendicular line would have a slope of -1/4

There isn't enough info in the question to determine the y-intercept. Literally, any y-intercept could work and the line would still be perpendicular. Is the line supposed to pass through a certain point?

Your answer would be something like: y = -1/4 x + b

b is the y-intercept...if your question paper is multiple choice, choose the answer with the slope of -1/4. If it's supposed to pass through a certain point (x,y) replace x and y with the values in that point and solve for b to get the y-intercept.

Answer:

The question isn't clear. Can you provide more information or context? What is A? Is it a set or a number? Without this information, I can't provide a meaningful answer.

Answer:

$180

Step-by-step explanation:

If the perimeter is 30 yards and each yard costs $6 you times 30 and 6 and you get $180

Area of a Triangle:

A triangle with a base of length B and a height of length H has an area of:

The base and the height must be perpendicular.

It's given a triangle with a base of B = 10 km and a height of H = 12 km. Note both dimensions are perpendicular, so we can calculate the area regardless of the other dimensions provided.

The coefficient of \(x^{7}\) is 16796160.

For this, we have to find the coefficient of \(x^{7}\) in \((3x+4)^{10}\)

General Term: This term symbolizes all of the terms in the binomial expansion of (x + y)^n.

The general term in the binomial expansion of (x + y)^n is

T(r+1) = nCr x^(n-r)y^r.

Here the r-value is one less than the number of the term of the binomial expansion. Also, nCr is the coefficient, and the sum of the exponents of the variables x and y is equal to n.

We can use the general term for this.

\(T_{r+1} = (nCr) a^{n-r} x^{r}\)

Since we have to find  \(x^{7}\),

\(T_{3+1} = (10C3)(3x)^{7} 4^{3} \\T_{3+1} = [(10C3)3^{7} 4^{3} ]x^{7}\)

This is the coefficients of \(x^{7}\)

Calculating,

10C3 = 120 (using combinations)

\(3^{7} = 2187\\4^{3} = 64\)

Therefore, multiplying the 3,

Coefficients of \(x^{7}\) = 120 * 2187 *64

= 16796160

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Answer:

y=1/5x-4

Step-by-step explanation:

So, first we're gonna put this into point slope form, (y-y1)=m(x-x1), then we'll convert it. When you plug the numbers in, you get (y+9)=1/5(x+25)

Then, you simplify!

y= 1/5(x+25)-9

y=1/5x+5-9

y=1/5x-4

Hope this helped!

Answer:

The graph of parent function \(f(x)=\frac{1}{x}\) is a hyperbola.

Step-by-step explanation:

A rational function is described as the fraction of polynomials, where the denominator has degree of at least 1 .

Or it can be said that there must be a variable in the denominator.

The general form of a rational function is:

\(\text{Rational Function}= f(x)=\frac{p(x)}{q(x)}\)

In this case the parent function provided is: \(f(x)=\frac{1}{x}\).

The function is rational.

The graph of parent function \(f(x)=\frac{1}{x}\) is a hyperbola.

The graph is attached below.

Answer:

-3

Step-by-step explanation:

can you mark me brainliest

Answer:

x=-3

Step-by-step explanation:

14-4x=26

-14       -14

-4x=12

/-4    /-4

x=-3

As per the given variables, Victor jumped a total of 4 yards.

Total yards jumped = 6 feet high

Additional yards = 2

A yard is one linear yard. "Yd" is the yard symbol. The standard of measurement has always been derived from either a natural item or a portion of the human body, such as a foot, an arm's length, or the width of a hand.

Converting the initial jump of 6 feet to yards, as the additional distance given is also in yards.

There are 3 feet in a yard, therefore -

6 feet = 6/3  

= 2

Thus, Victor jumped 2 yards initially, and then 2 more yards as given in the problem.

Calculating, the total distance Victor jumped in yards -

= 2 + 2

= 4

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The algorithm/abstract strategy to justify the fraction 3/5 involves interpreting it as a division, performing the division, and obtaining the decimal representation as the results.

To justify the fraction 3/5, we can use the concept of division and understand it as a ratio or proportion.

Algorithm/Abstract Strategy:

Start with the numerator, which is 3.

Identify the denominator, which is 5.

Interpret the fraction as a ratio or comparison between the numerator and denominator.

Understand that 3/5 represents a division where the numerator (3) is divided by the denominator (5).

Perform the division: 3 ÷ 5.

Simplify the division to its simplest form, if necessary.

The result of the division, in this case, is the decimal representation of the fraction.

If required, convert the decimal representation to a percentage or any other desired form.

For example, if we perform the division 3 ÷ 5, the result is 0.6.

So, 3/5 can be justified as the ratio or proportion where the numerator (3) is divided by the denominator (5) resulting in 0.6.

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Answer:

Step-by-step explanation:

The point where two lines intersect is the solution to a system of two linear equations in two variables. To find the point of intersection, we can set the two equations equal to each other and solve for the x and y values.

First, let's find the equation of Line A using the point-slope form of a line:

y - 7 2/3 = -1/6 (x - 3)

Expanding the right side:

y - 7 2/3 = -1/6 x + 1/2

Next, let's find the equation of Line B using the point-slope form of a line:

y - -1 = 1/2 (x - -17)

Expanding the right side:

y + 1 = 1/2 x + 8 1/2

Now, we set the two equations equal to each other to find the point of intersection:

y - 7 2/3 = y + 1

Solving for y:

8 5/6 = y

Now that we have y, we can substitute it back into either of the original equations to find x:

y - 7 2/3 = -1/6 x + 1/2

8 5/6 - 7 2/3 = -1/6 x + 1/2

1 1/6 = -1/6 x + 1/2

Expanding the right side:

1 1/6 = -1/6 x + 1/2

Multiplying both sides by 6:

7 = -x + 3

Adding x to both sides:

7 + x = 3

Solving for x:

x = -4

So the point where Line A and Line B intersect is (-4, 8 5/6).

Answer:

Slope = (6 - 0) / (-3-5) = 6/(-8) = -3/4

Equation of line:  y = (-3/4)x + b

Since (5,0) is on the line, 0 = (-3/4)(5) + b

b = 15/4

Step-by-step explanation:

The correct answer is option C: \(\(k + 4 = 16\).\) This linear equation represents the relationship between Tina and Kai's volunteer times.

To represent the given situation, the equation that correctly represents the relationship between Tina's volunteer times (Tina = 16) and Kai's volunteer times (Kai = k) is:

\(\[Tina = Kai + 4\]\)

In this equation, Tina's volunteer times are represented by "Tina," and Kai's volunteer times are represented by "Kai." Since Tina has volunteered 4 more times than Kai, we add 4 to Kai's volunteer times to get the total number of times Tina has volunteered.

Substituting the given values, we have:

\(\[16 = k + 4\]\)

This equation represents the fact that Tina has volunteered \(16\) times, which is equal to Kai's volunteer times (k) plus the additional 4 times that Tina volunteered.

Simplifying the equation:

\(\[k + 4 = 16\]\)

This equation is equivalent to the original equation and represents the relationship between Tina and Kai's volunteer times. Hence, the correct answer is option C: \(\(k + 4 = 16\).\)

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The rational function graphed in this problem is defined as follows:

y = -2(x - 1)/(x² - x - 2).

The vertical asymptotes of the rational function for this problem are given as follows:

x = -1 and x = 2.

Hence the denominator of the function is given as follows:

(x + 1)(x - 2) = x² - x - 2.

The intercept of the function is given as follows:

x = 1.

Hence the numerator of the function is given as follows:

a(x - 1)

In which a is the leading coefficient.

Hence:

y = a(x - 1)/(x² - x - 2).

When x = 0, y = -1, hence the leading coefficient a is obtained as follows:

-1 = a/2

a = -2.

Thus the function is given as follows:

y = -2(x - 1)/(x² - x - 2).

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Answer: 1/15

Step-by-step explanation:

4/5 = 1/5 leftover

1/5 3 people

1/15 (5x3)

Answer:

-5 and -The zeros of a parabola are the points on the parabola that intersect the line y = 0 (the horizontal x-axis). Since these points occur where y = 0,

As group size increases, the complexity of the group increases (option A).

What is group size?

Even within the same species, group size can vary greatly, so we frequently need statistical tests to evaluate these measurements between two or more samples as well as statistical measures to quantify group size. Since group sizes typically follow an aggregated (right-skewed) distribution, where most groups are small, few are large, and a very small number are very large, group size measures are infamously challenging to handle statistically.

As group size increases, the complexity of managing and coordinating the group also increases.

The larger the group, the more difficult it is to communicate effectively, to make decisions, and to ensure that everyone is working towards a common goal.

This is why larger organizations often have more complex hierarchies and more formalized communication and decision-making processes.

Therefore, the correct option is A.

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Answer:

8x+5

Step-by-step explanation:

Answer:

8x +5

Step-by-step explanation:

It makes more sense to use a relatively small significance level (such as α=0.01) in this situation. The reason is, the consequences of falsely accusing a well-known company of lying in their advertising could be significant, and filing a lawsuit is a serious action.

Therefore, it is important to have a high level of confidence in the evidence before taking such a step. A small significance level would ensure that the evidence gathered is statistically significant, reducing the likelihood of making a false accusation. On the other hand, a relatively large significance level (such as α=0.10) would increase the chances of a Type I error, which is the incorrect rejection of a true null hypothesis, potentially leading to false accusations and legal repercussions.

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The correct option is the first one "No. The rotation will not change the size and / or shape of the quadrilateral, but the dilation will"

A rotation preserves teh form and size, but the dilation will change its size. For two figures to be congruent they must have same shape and size.

Answer:

Y

Step-by-step explanation:

You see that (x,3) and (2,7) are on the exact same x-value, which is 2. Y, on the other hand, is on the same y-value as (4,3), so it's going to be 4. 4 > 2, so your answer is y.

Y represents the greater number.

We see that (x,3) and (2,7) are on the exact same x-value, which is 2. Y, on the other hand, is on the same y-value as (4,3), so it's going to be 4. 4 > 2, so your answer is y.

A set of values that display an actual role. On graphs it is also a pair of numbers: the first variety indicates the gap along, and the second variety indicates the distance up or down. As an example, the factor (12,5) is 12 units long, and five units up.

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Answer:

The answer to your problem is, angles of rhombus are 60 ,120,60,120.

Step-by-step explanation:

We can draw the figure as shown in attachment.

Then you can see an equilateral triangle ABD.

So here angle A, B and D all will be 60 degrees.

So one of the angles of rhombus becomes 60°.

Rhombus is a parallelogram.Hence the adjacent angle becomes 120°.

Thus the answer to your problem is, angles of rhombus are 60 ,120,60,120.