Write the equation of the line that passes through the points (4,−2) and (6,3). Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line.

Answer:

(4x-9)^2.

Step-by-step explanation:

If you want to simplify 16x^2 - 72x + 81, you can use a cool trick called the square of a binomial rule. This rule says that if you have something like (a + b)^2, you can expand it as a^2 + 2ab + b^2. So, how do we apply this rule to our problem? Well, first we need to find a and b that make our expression look like (a + b)^2. We can do this by noticing that 16x^2 is the same as (4x)^2 and 81 is the same as 9^2. Then we can check that the middle term is -2 times the product of 4x and 9, which is -72x. So we can write our expression as (4x - 9)^2. That's it! We have simplified our expression using the square of a binomial rule.

The solution is in the attached file

The interquartile range is 3 rebounds.

What is the interquartile range?

An interquartile range is a measure of the difference between the upper and lower quartiles of a dataset.

W can find the values of the upper and lower quartile and median from a box plot.

The middle line is the median and the first line is the lower quartile and the last line is the upper quartile.

The formula used is Upper quartile - Lower quartile.

We have,

From the box plot,

Median = 10

The upper quartile = 11

The lower quartile = 8

Now,

Interquartile range.

= Upper quartile - Lower quartile

= 11 - 8

= 3

Thus,

The interquartile range is 3.

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Answer:

I think your answer would be 62041

I hope it's right

Answer:

2,400

Step-by-step explanation:

Can I please have brainliest?? thanks!! have an awesome day and good luck with your math :)

Answer:

2,400

Step-by-step explanation:

Answer: 600!

Step-by-step explanation:

Answer:

green because it sounds like garbage

Step-by-step explanation:

Answer:

the one u want to put em in?

Step-by-step explanation:

Answer:

\(m = \frac{2 - 1}{6 - 0} = \frac{1}{6} \)

The quadrilateral ABCD is a trapezium is proved.

To show that quadrilateral ABCD is a trapezium (or trapezoid), we need to prove that one pair of opposite sides is parallel.

Given:

- Diagonals AC and BD intersect at point O.

- The ratio of AO to BO is equal to the ratio of CO to DO,

i.e., AO/BO = CO/DO.

Proof:

1. Consider triangle AOB and triangle COD.

2. By the property of intersecting lines,

<AOC = <BOD {vertically opposite angles}.

3. Similarly, angles COA and DOB are equal.

4. From the given ratio

AO/BO = CO/DO, we can write

AO/CO = BO/DO.

(Dividing numerator and denominator of both sides by CO)

5. By the Angle-Angle (AA) similarity criterion,

Triangles AOC and BOD are similar.

6. If triangles are similar, their corresponding angles are equal.

7. Therefore, angles ACO and BDO are equal.

8. Since angles AOC and BOD are equal, and angles ACO and BDO are equal, we have:

  ∠AOC = ∠BOD and ∠ACO = ∠BDO.

9. By the Alternate Interior Angles Theorem, since ∠ACO and ∠BDO are equal, lines AB and CD are parallel.

10. Hence, quadrilateral ABCD is a trapezium.

Therefore, by showing that one pair of opposite sides (AB and CD) is parallel, we have proved that quadrilateral ABCD is a trapezium.

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Answer:

54 square feet

Step-by-step explanation:

Area of a triangle is A = 1/2b*h

A = 1/2(9)(12)

A = 1/2(108)

A = 54 square feet

Answer:

x=1

Step-by-step explanation:

Answer:

In standard form -3x⁵ + x³ + 4x² - 8x

Step-by-step explanation:

A DAG is a graphical representation of causal relationships between variables. In this case, we want to illustrate the relationships between job characteristics, unobservables, fatality risks, and wages. Let's start with the job characteristics as the primary variable.

1. Job Characteristics (X): This variable represents the various characteristics of a job, such as skill level, experience, education, etc.
Now, let's consider the two factors that influence wages:
2. Unobservables (U): These are unmeasurable factors that affect wages but cannot be directly observed, such as personal motivation, natural abilities, or discrimination.
3. Fatality Risks (F): These represent the risk of fatal accidents or hazards associated with a particular job.

Finally, we connect these variables to wages:
4. Wages (Y): This is the outcome variable we are interested in understanding.
Based on your question, the DAG would have arrows connecting job characteristics (X) to unobservables (U) and fatality risks (F). These two variables, in turn, would have arrows pointing towards wages (Y), indicating their influence on wage outcomes.

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Answer:

8

Step-by-step explanation:

Add 5 to both sides.

x=3+5

x=3+5

2 Simplify  3+53+5  to  88.

x=8

x=8

The trigonometry expression is sin(x) = 3/5

The triangle is a right triangle.

So, we can make use of the following equations:

Using the sine expression, we have:

sin(x) = 3/5

Hence, the trigonometry expression is sin(x) = 3/5

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Answer:

-1

Step-by-step explanation:

6(x) - (3y + 7) - xy

6(5) - (3(3) + 7) - (5)(3)

30 - (9+7) - 15

30 - 16 - 15

-1

Hope this helps! Pls give brainliest!

Answer:

-1

Step-by-step explanation:

1. replace all the variables with the values it gives you-

6(5) - [ 3(3) + 7] - (5)x(3)

2. then if you combine everything using pemdas-

30 - (9 + 7) - 15

3. repeat step #2-

30 - 16 - 15

4. then solve-

30 - 16 = 14 then subtract 15 to give you -1

The correct option is (C) The graph of Function g is a transformation of the parent cosine function such that g(x) = 3 cos(x + 2) + 1 as it the graph of cosine function.

The ratio between the adjacent side and the hypotenuse is known as the cosine function (or cos function) in triangles. One of the three primary trigonometric functions, cosine is the complement of sine (co+sine) and one of the three main trigonometric functions.

A graph is a structure that resembles a set of objects in mathematics, more specifically in graph theory, in which some pairs of the objects are conceptually "related." The objects are represented by mathematical abstractions known as vertices, and each pair of connected vertices is referred to as an edge.

Option (C) gives a graph of the parent cosine function is transformed into function g such that g(x) = 3 cos(x + 2) + 1 on the cosine function graph.

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Answer:

see photo

be sure to look closely, the top curves go to 4 and the bottom goes to -2, there are 2 with this same shape but the other one does not go high enough.

Step-by-step explanation:

Plato/Edmentum

The height of a man with a z-score of 0 is 69 inches.

The average height of adult men = 69.0 inches, Standard deviation of adult men = 2.8 inches to find the Z-score the following formula is used:

z = (x- μ)/σ where z is the z-score, x is the value to be standardized, μ is mean and σ is the standard deviation.

To find the height of a man with a z-score of Standardized value(z) = 0

z = (x - μ)/σ

0 = (x - 69)/2.8

x = 69 + 0 (2.8)

x = 69 inches.

Therefore, the height of a man with a z-score of 0 is 69 inches.

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The line y = 4.08x + 63.13 is a good fit for this data because it accurately represents the positive relationship between median household income and the number of adults with bachelor's degrees in the 50 U.S. states.

Given that a scatter plot of median household income x and the number of adults per 1,000 people with bachelor's degrees y for 50 U.S. states. The line y = 4.08x + 63.13 is suggested to be a good fit for this data.

To understand why this line is a good fit, to consider its equation. In this case, y represents the number of adults per 1,000 people with bachelor's degrees, and x represents the median household income in thousands of dollars.

The equation of the line is y = 4.08x + 63.13. This means that for every increase of $1,000 in median household income, the number of adults with bachelor's degrees increases by 4.08 per 1,000 people. The intercept of the line is 63.13, which represents the number of adults with bachelor's degrees when the median household income is $0.

By analyzing the scatter plot, we can see that the points are roughly linear and show a positive correlation between median household income and the number of adults with bachelor's degrees. The line represents the best fit for this data because it minimizes the distance between the line and the points on the scatter plot.

Hence, the line y = 4.08x + 63.13 is a good fit for this data because it accurately represents the positive relationship between median household income and the number of adults with bachelor's degrees in the 50 U.S. states.

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Area of base:-

Volume:-

The density of the tank is  D. 0.37 goldfish per cubic foot.

To find the density of the tank, we need to divide the number of goldfish by the volume of the tank. In this case, we have 19 goldfish and a tank volume of 52 cubic feet. So, the density of the tank can be calculated as follows:

Density = Number of goldfish / Volume of tank

Density = 19 / 52

Density = 0.365

Therefore, the density of the tank is 0.37 goldfish per cubic foot, which is option d.

The density is a measure of the amount of matter (in this case, goldfish) that is present in a given volume (in this case, the tank). A higher density means that there are more goldfish per unit volume, while a lower density means that there are fewer goldfish per unit volume.

In this case, we can see that the density is relatively high, meaning that there are a significant number of goldfish in the tank. This could potentially be a problem, as overcrowding can lead to poor water quality and health problems for the fish. It's important to monitor the density of fish in a tank and ensure that it stays at a healthy level. Therefore the correct option is D.

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Answer:

2. absolute value of p - q

Explanation:

Because when you calculate distance, you always use absolute value.

Can I get a thx and brainliest?

We introduced three conditions that should be met before we construct a confidence interval for an unknown population proportion: Random, Normal, and Independent.

There are three crucial requirements that must be met in order to establish a confidence interval. These are Independent, Random, and Normal.

Any survey is carried out objectively.

It is required to assure randomness. An independent choice is equally likely to be made in a random sample. Similar to how the confidence interval is built, normal is used to confirm which phenomena are being employed or to correct the approach if necessary. In a similar vein, independent is crucial because it contains the facts to be analyzed. For the purpose of calculating the standard deviation, independent is used.

Therefore, it's crucial to consider the Random, Normal, and Independent criteria while building a confidence interval.

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Answer:

1. x= y-3

x+y=26

2.The slope is 1 and the y-intercept is -7.

Step-by-step explanation:

1. If x is boys and y is girls

x= y-3

x+y=26

2. the equation is in the form of y=mx+b

m is slope and b is the y-intercept

in y=1x-7 (which is the same as y=x-7) The slope is 1 and the y-intercept is -7.

Based on the information provided, it appears that the regression model has found a statistically significant relationship between the outcome variable and the response variables while controlling for the effects of the two co-variables.

However, the R2 value of only 11.5% suggests that the model is explaining only a small portion of the variability in the outcome variable. This may indicate that there are other important factors that are not being accounted for in the model. It is also possible that the co-variables included in the model are not strong predictors of the outcome variable. Further investigation and analysis may be needed to fully understand the relationship between the variables and to improve the predictive power of the model.

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