find the equation of a line passing through points (-9,8) (-18,12)

We want to simplify the following expression

First, we can apply the distributive rule to rewrite this product

Then, using the following property

we can rewrite our expression as

We can remove the squared terms out of the root

and this is our answer.

Answer:

Point in original: (4, -6)

Point in final: (4, 6)

just drag the point 6 units up

Step-by-step explanation:

Hope this helps!

The angle between the vectors can be found using the dot product. The formula is θ= |A| =√(x12 + y12 + z12) The angle between the vectors -2i + 3j + k and i + 2j - 4k is approximately 137.8 degrees.

v1 • v2 = (-2i + 3j + k) • (i + 2j - 4k)

= -2 - 6 + 1 = -7

|v1| = \(\sqrt{((-2)^2 + 3^2 + 1^2)}\)

=\(\sqrt{(4 + 9 + 1)}\)

=\(\sqrt{14}\)

|v2| = \(\sqrt{((1)^2 + 2^2 + (-4)^2)}\)

= \(\sqrt{(1 + 4 + 16) }\)

= (\(\sqrt{21}\)

θ= |A| (-7/\(\sqrt{14}\)\(\sqrt{21}\))

=  |A| (-7/21*14)

=  |A|(-7/294)

= 137.8 degrees

The angle between two vectors can be found using the dot product formula. This formula isθ= |A| =√(x12 + y12 + z12). In the case of the vectors -2i + 3j + k and i + 2j - 4k, this formula can be used to find the angle between them. The dot product of the two vectors is -2 - 6 + 1 = -7. The magnitude of the first vector, |v1|, can be found using the Pythagorean theorem, which is

\(\sqrt{((-2)^2 + 3^2 + 1^2)}\)

= \(\sqrt{(4 + 9 + 1)}\)

= \(\sqrt{14}\).

The magnitude of the second vector, |v2|, can be found using the Pythagorean theorem, which is

\(\sqrt{((1)^2 + 2^2 + (-4)^2)}\)

= \(\sqrt{(1 + 4 + 16)}\)

= \(\sqrt{21}\)

Once the dot product and magnitudes are known, the angle between the two vectors can be found using the formula .Therefore, the angle between the two vectors is approximately 137.8 degrees.

Learn more about vector here

https://brainly.com/question/15709504

#SPJ4

Equal to every other interior angle is equal to every interior angle of a regular polygon . The number of sides is equal to the internal angles of a polygon.

Congruent sides and equal angles define a regular polygon. Equilateral triangle, square, regular pentagon, and other regular polygonal shapes are examples of regular polygons. When a polygon's sides and angles are equal, it is said to be a regular polygon. The polygon is referred to as irregular if its sides and angles are not equal.

example

Within a polygon's perimeter is where an internal angle can be found. Using the equation     S = (n - 2)*180,

calculate the total number of interior angles.

If the polygon is regular, it is also easy to compute each angle's measurement by dividing the sum by the number of sides.

To know more about regular polygon visit :-

https://brainly.com/question/29722724

#SPJ4

Answer:

1.2 or if you round it is 1

Answer:

1.224744871 or (square root of 6)/2

Step-by-step explanation:

Answer:

\(\displaystyle \frac{1}{4}\).

Step-by-step explanation:

The voltage across the three bulbs would add up to \(12\; {\rm V}\) since the three bulbs are connected in serial.

The voltage across the third bulb would thus be: \(12\; {\rm V} - 6\; {\rm V} - 3\; {\rm V} = 3\; {\rm V}\).

Also because the three bulbs are connected in serial, the current going through each of them be the same as the size of the current of the whole circuit. Let \(I\; {\rm A}\) be the size of that current.

Thus, the portion of the power consumed by the third bulb would be \((3\, I) / (12\, I) = 1/4\).

Answer:

19.35 the is my answer

Step-by-step explanation:

6.45 x 3=19.35

Answer:

11 yards.

Step-by-step explanation:

The area of a square is A= s²

Since the area is given as 121, you just take the square root.

\(\sqrt{121} = s^{2}\)

s= 11 yards

Answer:

the missing side length = 3

Step-by-step explanation:

Hello There!

This is a 30 - 60 - 90 degree special right triangle

We know this because in these types of triangle the hypotenuse is equal to twice the short leg

\(\sqrt{3} *2=2\sqrt{3}\)

to calculate the missing side length (which is the long leg)

we multiply the short leg by \(\sqrt{3}\)

\(\sqrt{3} *\sqrt{3} =3\)

so the missing side length is 3

Answer:

It is A, E, and F

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

none needed

Symbolically, we can represent the null hypothesis as H0: p ≥ 0.003, and the alternative hypothesis as Ha: p < 0.003, where p is the true proportion of Americans who have seen a UFO.

In statistical hypothesis testing, the null hypothesis (H0) represents the default assumption or the status quo, which is assumed to be true until there is sufficient evidence to suggest otherwise. In this case, the null hypothesis is that the proportion of Americans who have seen a UFO, denoted by p, is greater than or equal to 3 in every one thousand.

The alternative hypothesis (Ha) represents the opposite of the null hypothesis, suggesting that there is evidence to reject the null hypothesis in favor of an alternative claim. In this case, the alternative hypothesis is that the proportion of Americans who have seen a UFO is less than 3 in every one thousand. This alternative hypothesis represents the claim made by the skeptical paranormal researcher.

To know more about hypothesis,

https://brainly.com/question/28760793

#SPJ11

If you were at the point (-3, -5) facing east and turned 53.14 degrees counterclockwise and walked 10 units, you would end up at approximately the point (6.24, -1.17).

Firstly, we need to understand the direction you are facing after turning 53.14 degrees counterclockwise from facing east.  Starting from facing east, if we rotate counterclockwise by 45 degrees, we would be facing northeast. And if we rotate counterclockwise by another 8.14 degrees (since 53.14 - 45 = 8.14), we would be facing a direction between northeast and north. Therefore, after turning 53.14 degrees counterclockwise from facing east, we would be facing approximately north-northeast.
Next, we need to determine the new coordinates after walking 10 units in the north-northeast direction.
To do so, we can use trigonometry. Since we know that we have walked 10 units in the direction of approximately 22.5 degrees (north-northeast is halfway between north and northeast), we can use the sine and cosine functions to calculate the change in x and y coordinates.
The change in x coordinate would be 10 units multiplied by the cosine of 22.5 degrees (cos(22.5) ≈ 0.9239), which equals approximately 9.24 units.
The change in y coordinate would be 10 units multiplied by the sine of 22.5 degrees (sin(22.5) ≈ 0.3827), which equals approximately 3.83 units.
Therefore, the new coordinates would be (-3 + 9.24, -5 + 3.83), which simplifies to approximately (6.24, -1.17).

To know more about degrees visit :-

https://brainly.com/question/29218280

#SPJ11

Answer:

8.4

Step-by-step explanation:

How many times 20 goes into 168 = 168/20

                                                         = 8.4

Pls mark as brainliest <3

Answer:

\( s \ge 40 \)

Step-by-step explanation:

Let s = speed.

If the minimum speed is 40 mph, then the speed can be 40 mph or greater.

\( s \ge 40 \)

True. In a regression model, the dependent variable is the variable that we aim to predict or explain using one or more independent variables.

In a regression model, the dependent variable is indeed the variable that we aim to predict or explain. It represents the outcome or response variable that we are interested in understanding or analyzing. The purpose of the regression analysis is to examine the relationship between this dependent variable and one or more independent variables. By identifying and quantifying the influence of the independent variables on the dependent variable, regression analysis allows us to make predictions or explanations about the behavior or value of the dependent variable.

The regression model estimates the relationship between the variables based on observed data and uses this information to infer how changes in the independent variables impact the dependent variable.

To learn more about variable , click here:

brainly.com/question/29583350

#SPJ1

The best point estimate for the average number of classes per semester for all students at the local college is 4, based on the study that found students completed an average of 4 classes per semester and the sample of 132 students that was taken.

Based on the information provided, the best point estimate for the average number of classes per semester for all students at the local college can be calculated as follows:
1. Identify the sample average: In this case, it is given that students completed an average of 4 classes per semester.
2. Determine the sample size: Here, the sample size is 132 students.
Since the point estimate is essentially the sample average, the best point estimate for the average number of classes per semester for all students at the local college is 4.

Learn more about average here: brainly.com/question/31080273

#SPJ11

Answer:

105 minutes

Step-by-step explanation:

Answer:

105 minutes

Step-by-step explanation:

Answer:

His quiz score increased by about 7%.

Step-by-step explanation:

Take the two quiz scores and add them together to get 159.

Take the difference between the two quiz scores to get 11.

Divide the difference by the sum to get 0.0692 or about 7%.

Answer:

210

Step-by-step explanation

One yard is equal to 3 feet so the simplest way is to divide the number of feet by 3 and that will give you your answer.

Answer:

210

Step-by-step explanation:

Answer:

Step-by-step explanation:

Think of the equation y = mx + b

So the m is the slope and the b is the y-intercept

m/slope= 3 b/y-intercept= -1

Without specific table structures and dependencies provided, it is not possible to determine the 1NF, 2NF, and 3NF of the bookorder tables.

To determine the 1NF, 2NF, and 3NF of the bookorder tables, we need to consider the normalization process and identify any dependencies among the attributes. Without the specific table structures and dependencies provided, it is not possible to provide a specific answer. However, in general, the normalization process aims to eliminate data redundancy and update anomalies by organizing data into separate tables based on functional dependencies. In 1NF, each attribute should hold atomic values. In 2NF, non-key attributes should depend on the entire key. In 3NF, non-key attributes should depend only on the key, not on other non-key attributes. The specific normalization steps depend on the specific attributes and dependencies in the given tables.

Learn more about table structures

brainly.com/question/4555163

#SPJ11

Answer:

The diameter of a sphere is twice its radius. Therefore, if the diameter of the sphere is 36, the radius of the sphere is 18 (half of 36).

The volume of a sphere is given by the formula V = (4/3)πr^3, where π is approximately 3.14159 and r is the radius of the sphere.

Substituting the value of the radius, we get:

V = (4/3) × π × 18^3

= (4/3) × π × 5832

≈ 9733.78 cubic units

Therefore, the volume of the sphere with a diameter of 36 is approximately 9733.78 cubic units.

(please could you kindly mark my answer as brainliest)

Answer:

x=6

Step-by-step explanation:

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

Answer:

x=6

Step-by-step explanation:

7x+2y = 48

Let y = 3

7x +2(3) = 48

7x+6 = 48

Subtract 6 from each side

7x+6-6 = 48-6

7x = 42

Divide each side by 7

7x/7 = 42/7

x = 6

In the big bucks lottery, there are chances that 10 out of 1000 people will win the lottery.

If there are 1000 people in the Big Bucks lottery and there is a 1 percent chance of winning 10 dollars prize if all 1000 people buy the lottery ticket of 10 dollars. If every person buys 10 dollar lottery ticket, then the chances of winning people would be calculated as follows:

Total number of People = 1000

Chances of winning the lottery = 1%

How many people would win 10 dollar lottery = 1000 * 1%

= 1000 * 0.01

= 10 People.

So there are chances that 10 out of 1000 people will win the lottery.

To learn more about probability, visit the link below:

brainly.com/question/13810637

#SPJ4