factor the trinomial below:
n2+8n+12

Answer:

See solution below

Step-by-step explanation:

The following are the rules for counter clockwise rotation of a point around the origin. Let's assume the coordinates of the original point are A(x, y). The following are results of different degrees of rotation(all counterclockwise) for the new point A'

Original Point A           Degree of Rotation       Coordinates of A'

A(x, y)                                   90°                              A'(-y, x)

A(x, y)                                  180°                              A'(-x, -y)

A(x, y)                                  270°                             A'(y, -x)

In these questions we are only interested in 270° counterclockwise rotation where the resultant point A' has its original x, y coordinates swapped and x is made negative. A, B represent the originals, A', B' etc the post image coordinates ie the answers

Q1

A (4, 7)  →→  A' (7, -4)

B (3, 0)  →→   B' (0, -3)

C (-4, -7) →→  C' (-7, 4)

Q3

A (3, 0)  →→    A' (0, -3)

B  (7, 0) →→    B' (0, -7)

C  (3, -5) →→   C' (-5, -3)

D (-2, -5) →→   D' (-5, 2)

It is 3 73/99

I just used a fraction calculator lol

Answer:

It is 3 73/99

The trigonometric equations has the following solutions: x = 0 + j · π or x = 0.352π + j · π or x = - 0.352π + j · π, where j is a non-negative whole number.

In this problem we find the case of a trigonometric equation, whose solutions on the interval [0, 2π] must be found. This can be done by both algebra properties and trigonometric formulae. First, write the entire expression:

tan² x · sec² x + 2 · sec² x - tan² x = 2

Second, use trigonometric formulas to reduce the number of trigonometric functions:

tan² x · (tan² x + 1) + 2 · (tan² x + 1) - tan² x = 2

Third, expand the equation:

tan⁴ x + tan² x + 2 · tan² x + 2 - tan² x = 2

tan⁴ x + 2 · tan² x = 0

Fourth, factor the expression:

tan² x · (tan² x - 2) = 0

tan² x = 0 or tan² x = 2

tan x = 0 or tan x = ± √2

Fifth, determine the solutions to trigonometric equation:

x = 0 + j · π or x = 0.352π + j · π or x = - 0.352π + j · π, where j is a non-negative whole number.

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Figure C appears to have all sides and angles the same.

A regular polygon is a closed shape that has straight sides of equal length and interior angles of equal measure.

This means that all of the sides and angles of a regular polygon are congruent (i.e., have the same size).

We have,

Some examples of regular polygons include equilateral triangles, squares, pentagons, hexagons, and so on.

A regular polygon can have any number of sides, and its name reflects the number of sides it has.

For example, a polygon with three sides is called a triangle, a polygon with four sides is called a quadrilateral, a polygon with five sides is called a pentagon, and so on.

Thus,

Figure C appears to have all sides and angles the same.

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Answer:

12.6

Step-by-step explanation:

15/2 = 2.4

15-2.4= 12.6

Answer:

12.6

Step-by-step explanation:

YOu just subtract 15 and 12/5

The solution is the point (0, 1/6) y = 1/6

Given the equation y = (-3/4)x + 1/6, which represents a linear equation, there is no "system" of equations involved since there is only one equation.

In this case, the equation is in slope-intercept form (y = mx + b),

where m represents the slope (-3/4) and b represents the y-intercept (1/6).

The slope-intercept form allows us to determine various properties of the equation.

Since there is only one equation, the solution to this equation is a single point on the Cartesian plane.

Each pair of x and y values that satisfy the equation represents a solution.

For example, if we choose x = 0, we can substitute it into the equation to find the corresponding y value:

y = (-3/4)(0) + 1/6

y = 1/6

Therefore, the solution is the point (0, 1/6).

In summary, the given equation has a unique solution, represented by a single point on the Cartesian plane.

Any value of x plugged into the equation will yield a corresponding y value, resulting in a unique point that satisfies the equation.

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The conditional probability for this problem is given as follows:

C. P(A|B) = 2/5 = 0.4 = 40%.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

For this problem, we have that 5 students play soccer, and of those, 2 play basketball, hence the conditional probability is given as follows:

C. P(A|B) = 2/5 = 0.4 = 40%.

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Answer: Dutch

Step-by-step explanation: He just needs the money

Answer:

Uncle

Step-by-step explanation:

9514 1404 393

Answer:

  5 1/2

Step-by-step explanation:

You can use the distributive property to eliminate parentheses, then add the terms that result.

  5(3/5 +1/2) = 5(3/5) +5(1/2) = 3 + 5/2 = 3 + 2 1/2 = 5 1/2

__

Or, you can add the numbers, then multiply by 5. This is the way the evaluation should be done according to the Order of Operations.

  5(3/5 +1/2) = 5(6/10 + 5/10) = 5(11/10) = 11/2 = 5 1/2

Answer:

5 1/2.

Step-by-step explanation:

5*(3/5+1/2)

= 5 * (6/10 + 5/10)

= 5 * 11/10

= 55/10

= 5 1/2.

Answer:

D. 7

Step-by-step explanation:

(8+4) = 2(x-1) multiply (x-1) by 2

(8+4) = 2x-2 add 8 and 4

12 = 2x-2 add 2 on both sides

14 = 2x divide both sides by 2

7 = x

Answer: 12 cm

Step-by-step explanation:

The masses of the spheres are proportional to their volums, and the cube of the ratio is k^3=135/5=27 ==> k=3

The greater radius is 3*4=12 (cm)

Answer:

28%

Step-by-step explanation:

91/325=0.28

0.28x100=28

Answer:

 =  − 1

Step-by-step explanation:

Answer:

If we're taking in terms of square roots (that are in the equation I'm working with), then your answer would be:

x = -12

If you start at (0,-4) and you move left 1 unit and right 4 units, you end at (3, -4)

From the question, we have the following parameters that can be used in our computation:

Start = (0, -4)

Also, we have

You move left 1 unit and right 4 units

Mathematically, this can be expressed as

(x, y) = (x - 1 + 4, y)

Substitute the known values in the above equation, so, we have the following representation

Endpoint = (0 - 1 + 4, -4)

Evaluate the expression

Endpoint = (3, -4)

Hence, the endpoint is (3, -4)

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The sentence translation of "2/3y - 9 < y + 1" is "Nine less than two-thirds of a number is less than the number."

To translate the inequality expression "2/3y - 9 < y + 1" into a sentence, we can break it down into smaller parts:

"2/3y" represents two-thirds of a number.

"9" represents the number nine.

"y + 1" represents the number increased by one.

Now let's construct the sentence:

"Nine less than two-thirds of a number" - This refers to the expression "2/3y - 9," indicating that we have subtracted nine from two-thirds of a number.

"is less than" - This is the comparison symbol in the inequality.

"the number" - This refers to the expression "y + 1," representing the number increased by one.

Combining these parts, we form the sentence: "Nine less than two-thirds of a number is less than the number."

Hence, the correct sentence translation of "2/3y - 9 < y + 1" is "Nine less than two-thirds of a number is less than the number."

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Answer:

5 pens

Step-by-step explanation:

$10 - 6$ = $4

$4/$0.80

she can afford 5 pens

When 30 statuses are uploaded, there are approximately 7939 visitors to the website.

What is the variation?
variation refers to how much a set of numbers or variables differ from each other. It is a measure of the spread or dispersion of a dataset. Variation can be measured in various ways, such as range, variance, and standard deviation.

Let's use the formula for direct variation: V = kS³, where k is the constant of variation.

To find k, we can use the data given when 8 statuses were uploaded:

1500 = k(8³) => k = 1500/512 = 2.93 (rounded to two decimal places)

Now we can find the number of visitors when 30 statuses are uploaded:

V = 2.93(30³) = 7938.9 (rounded to one decimal place)

Therefore, when 30 statuses are uploaded, there are approximately 7939 visitors to the website.

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The value of k as described in the task content in which case it intersects the graph of the parabola is; 0.

The value of k as discussed in the task content can be determined by solving the simultaneous equations as follows;

To intersect at one point;

k = -2y² +2y -5y +5

k = (-2y+5) (y-1).

y = 1 OR y = 2.5.

Hence, for y = 1;

The value of k is; 0.

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Answer:

24 feet wide

Step-by-step explanation:

72/18 = 4

80/20 = 4

88/22 = 4

Since there is one common answer between all sizes, you can make a ratio to help or you can use inverse operations.

Inverse operations is easier, so you would divide 96 by 4, and that will equal 24.

Answer:

Therefore, 1 + 2cos a can be expressed as the product of 2 and (cos a/2 + 1).

1 + 2cos a = 2(cos a/2 + 1)

Step-by-step explanation:

We can use the trigonometric identity:

cos 2a = 1 - 2 sin^2 a

to rewrite 1 + 2cos a as:

1 + 2cos a = 1 + 2(1 - sin^2 a/2)

= 1 + 2 - 2(sin^2 a/2)

= 3 - 2(sin^2 a/2)

Now, using another trigonometric identity:

sin a = 2 sin(a/2) cos(a/2)

we can rewrite sin^2 a/2 as:

sin^2 a/2 = (1 - cos a)/2

Substituting this into the expression for 1 + 2cos a, we get:

1 + 2cos a = 3 - 2((1 - cos a)/2)

= 3 - (1 - cos a)

= 2 + cos a

Therefore, 1 + 2cos a can be expressed as the product of 2 and (cos a/2 + 1).

1 + 2cos a = 2(cos a/2 + 1)

Answer:

2520

Step-by-step explanation:

There are 7 letters in MCHNLRN and they can be arranged into 7 ways:

7! = 5040 ways in total

However, the letter 'N' is repeated so we have to divide it by 2.

5040 ÷ 2 = 2520 ways

Answer:

2,520 ways

Step-by-step explanation:

MCHNLRN has 7 letters with one repetition.

therefore, =7!/2!

=2,520 ways

Answer:

The area of this triangle is (1/2)(9)(8) = 36.

Z-scores are used to standardize a raw score by converting it into the number of standard deviations it is above or below the mean.

The formula to convert a raw score into a z-score is:

z = (X - Mean) / Standard Deviation

Where X is the raw score, Mean is the mean of the population, and Standard Deviation is the standard deviation of the population.

For z = 2.00:

z = (X - Mean) / Standard Deviation

X = (z * Standard Deviation) + Mean

X = (2.00 * 38.2) + 202 = 238.4 + 202 = 440.4 (rounded to nearest whole number = 440)

For z = -2.00:

z = (X - Mean) / Standard Deviation

X = (z * Standard Deviation) + Mean

X = (-2.00 * 38.2) + 202 = -76.4 + 202 = 125.6 (rounded to nearest whole number = 126)

So for z = 2.00, the corresponding test score is 440, and for z = -2.00, the corresponding test score is 126.

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The intersection points are (6, 6) and (-6, -6).

What is Intersection points?

The point at which two lines or curves intersect is referred to as the point of intersection. The point at which two curves intersect is crucial because it is the point at which the two curves take on the same value.

The given curves are the polar equations of two circles with radii 6. To find their intersection points, we can set the two equations equal to each other and solve for Ф.

6 sin(Ф) = 6 cos(Ф)

Dividing both sides by 6 and rearranging terms, we get:

tan(Ф) = 1

This equation has infinitely many solutions, but we are only interested in those that lie in the interval [0, π/2].

Ф = π/4 satisfies this condition and corresponds to the point (6, 6) in Cartesian coordinates.

Since the two curves are circles, they are symmetrical about the origin. Therefore, we can deduce that the other intersection point is (-6, -6).

Therefore, the intersection points are (6, 6) and (-6, -6).

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Answer:

$1440

Step-by-step explanation:

first find 10 percent by dividing by 10

1600/10=160

Now subtract 160

1600-160=1440

Hope this helped!

Please Give brainiest : )

Answer:

8 are from South Africa

Step-by-step explanation:

1/4 + 5/8

2/8 + 5/8

1-7/8= 1/8

1/8 of 64 is equal to 8

The next term in the sequence is 98. None of the given options (60, 81, 90, 101) match the expected next term. None of the option is correct.

To find the pattern in the sequence 1, 1, 3, 8, 19, 41, we can examine the differences between consecutive terms:

1 1 3 8 19 41

0 2 5 11 22

Looking at the differences, we can observe that each subsequent difference is obtained by adding consecutive odd numbers: 2, 3, 4, 5, etc. This suggests that the original sequence may be related to square numbers.

Let's check if the differences between consecutive terms are square numbers:

2 = 1²

5 = 2² + 1²

11 = 3² + 2²

22 = 4² + 3²

Based on this pattern, we can make a reasonable assumption that the next difference should be 5² + 4² = 41 + 16 = 57. Adding this difference to the last term of the sequence (41), we get the next term:

41 + 57 = 98

Therefore, the next term in the sequence is 98. None of the given options (60, 81, 90, 101) match the expected next term.

Hence, none of the given options accurately continue the pattern of the sequence. It's important to note that patterns in sequences can sometimes have multiple possible interpretations, and it's always essential to consider alternative patterns or extend the sequence further to confirm the pattern.

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Answer:

x 1/2 + 6

Step-by-step explanation:

Let x be the number of shhoes mercades has and 1/2 represents the half jane has then +6 represents the 6 more she has

Answer:

Þe eye in Þe sky does not lie

Step-by-step explanation:

Answer:

3 x 1/6 = 1/2

Step-by-step explanation: