A sequence of translations maps triangle ABC to triangle A'B'C'.
Triangle ABC has vertices at G(-8,2), H(13.2), I(-2.10)
The coordinates of A' are (-1,-3).
What are the coordinates for B and Cl?
AM
M

The polynomial function in expanded form is f(x) = x² - 3x² + 4x - 2.

A polynomial function with rational coefficients that has the given numbers as zeros, considering their conjugates . Since 1+i is a zero, its conjugate 1-i must also be a zero.

Using the zero-product property,  that if a polynomial has a zero at a given number, then the polynomial must have a factor of (x - zero). Therefore, the polynomial function with the given zeros can be written as:

f(x) = (x - (1+i))(x - (1-i))(x - 1)

Expanding this expression,

f(x) = ((x - 1) - i)((x - 1) + i)(x - 1)

= ((x - 1)² - i²)(x - 1)

= ((x - 1)² + 1)(x - 1)

= (x² - 2x + 1 + 1)(x - 1)

= (x² - 2x + 2)(x - 1)

= x² - 2x² + 2x - x² + 2x - 2

= x² - 3x²+ 4x - 2

.

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Answer:

What are the bases and heights?

It doesnt make sense because i got 104 but thats not one of the options.

Answer:

#1

Sorry if wrong!!

Answer:

\(2 {x}^{2} - 4x = t \\ t = 2x(x - 2)\)

Answer:

The answer is

\( - \frac {7}{8} \)

Answer:

-7/8

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

<3

Answer:

90

Step-by-step explanation:

on multiplication.

Answer:

6x^8 hope this helps

Step-by-step explanation:

The value of x for this problem is given as follows:

x = 5.

Hence the angle measures are given as follows:

We have that angles A and D are congruent for this problem, meaning that they have the same measure.

Hence the value of x is obtained as follows:

7x - 3 = 5x + 7

2x = 10

x = 5.

Hence the angle measures are given as follows:

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Answer:

1)5-5x

2)3+1.5x

Step-by-step explanation:

5-5(7)=-30

3+1.5(7)=13.5

Answer:

The time it takes Candy working alone to finish cleaning the house is 3 hours

The time it takes Cindy working alone to finish cleaning the house is 6 hours

Step-by-step explanation:

The given parameters are;

The time it takes Cindy and Candy to finish cleaning the house = 2 hrs

The time it takes Cindy working alone to finish cleaning the house = 3 hrs + The time it takes Candy working alone to finish cleaning the house

Let x represent the time in hours, it takes Candy working alone to finish cleaning the house

∴ The time, in hours, it takes Cindy working alone to finish cleaning the house = 3 + x

2/x  + 2/(3 + x)  = 1

(2·(3 + x) + 2·x)/x·(3 + x) = 1

(2·(3 + x) + 2·x) = x·(3 + x)

6 + 2·x + 2·x = 3·x + x²

6 + 4·x = 3·x + x²

x² + 3·x - 4·x - 6 = 0

x² - x - 6 = 0

(x - 3)·(x + 2) = 0

x = 3, or x = -2

Therefore, it takes Candy, x = 3 hours working alone to finish cleaning the house, and it takes Cindy 3 + x = 3 + 3 = 6 hours working alone to finish cleaning the house.

The time it takes Candy working alone to finish cleaning the house = 3 hours

The time it takes Cindy working alone to finish cleaning the house = 6 hours

Using the information provided in the table, The total holding cost is  $547.50, the total setup cost is $600 and the total cost is  $1,147.50.

To develop a POQ (Periodic Order Quantity) solution use a lot-for-lot solution, which means that we will order exactly what we need for each period.

The missing values can be found on the attached table.

From the table, the total holding cost which is the sum of the holding costs for all periods is $547.50 while the total setup cost which is the sum of the setup costs for all periods is $600.

Therefore, the total cost is the sum of the holding cost and the setup cost and it is calculated as $1,147.50.

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The equation that describes this situation is:

105 = 7l

Let's break down the given information:

Mu walks laps to raise money for charity.

For each lap Mu walks, her sponsors will donate $7.

Mu has walked l laps.

The total amount raised by Mu is $105.

To write an equation to describe this situation, let's use the variables:

l represents the number of laps Mu has walked.

$7 represents the amount donated for each lap.

The equation can be written as follows:

Total amount raised = Amount donated per lap × Number of laps

$105 = $7 × l

Therefore, the equation that describes this situation is:

105 = 7l

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Answer:

180

Step-by-step explanation:

(a) Complex zeros of a polynomial come in pairs.

If a + bi is a zero of a polynomial then its conjugate a - bi is also a zero of the polynomial.

The given complex zeros of R(x) are 1 + 3i and -2i.

1 - 3i is the conjugate of 1 + 3i.

Hence, another zero of R(x) is 1 - 3i

b)

Since the polynomial R(x) is of order 13 then R(x) must have 13 zeros.

The given complex zeros of R(x) are 1 + 3i and -2i. We also know that the conjugates of 1 + 3i and -2i are zeros of R(x). Hence, R(x) has at least 4 complex roots

Hence, the maximum number of real zeros of R(x) is (13 -4).

The maximum number of real zeros of R(x) is 9

c) Let the maximum number of nonreal zeros (complex roots) be n

Complex roots come in pairs. Therefore, n must be even.

Hence, n ≤ 13 - 1 = 12

n ≤ 10

We have been given a real zero of R(x), 3 ( With the multiplicity of 4).

12 - 4 = 8

Therefore,

n ≤ 8.

Hence the maximum number of nonreal zeros of R(x) is 8

Answer:

the answer is D. 157° ......

Complete Question :

Isaac surveyed the employees at a law firm. Each employee was asked to record their highest level of education completed. The

results are shown in the table below.

Highest Level of Education Completed

Education Level

Percentage

High School

5%

Community College

10%

Four-Year College

60%

Graduate School

25%

Two-hundred sixty people completed the survey. How many of those people completed graduate school?

Answer:

65 people

Step-by-step explanation:

Given the following :

Number of survey participants = 260

Percentage that completed graduate school = 25%

Number of participants who completed graduate school ;

Total Number of participants × percentage that completed graduate school

260 participants × 25%

260 × 0.25

= 65

Answer:

65 people

Step-by-step explanation:

I took the test and that was the correct answer

5 types of angles are formed by the lines cut by the transversal which are mainly corresponding angles, alternate interior angles, alternate exterior angles, co-interior angles, and consecutive interior angles.

Each pair of internal angles on the same side of a transversal that meets two parallel lines is supplementary, or they add up to 180°. The opposing angles that result from the junction of two lines are known as vertical angles or vertically opposed angles.

In geometry, a transversal line intersects two lines in the same plane at two different locations. In the Euclidean plane, transversals help establish the parallelism of two or more other straight lines.

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Answer:

5.1 yd

Step-by-step explanation:

tan(25°) = x/11

x = 11tan(25°)=5.1 yd

Answer:

B

The fountain F is located at the park's centroid and is 85 feet from entrance A. 

Answer:

They'll need to see 12 movies together before they pay the same amount.

Let the number of movies be x

Based on the question given, the equation for Jaycie will be:

= 27 + (6 × x)

= 27 + 6x

The equation for Clarie will be:

= 8.25 × x

= 8.25x

Then, the equation to solve the question will be:

27 + 6x = 8.25x

Collect like terms

27 = 8.25x - 6x

2.25x = 27

x = 27/2.25

x = 12

They will see 12 movies together.

It looks like you did a great job solving the equation, and your final answer is correct. Here is a brief summary of the steps you took:
your final answer is correct\(: x = 1 - (pm - pn) / 4t\)

Mathematics has been classified into many branches. Arithmetic is the branch that handles numbers and their operations. Arithmetic taught us addition, subtraction, multiplication and divisions of two or more numbers. Geometry is all about shapes and their construction using different tools like a compass, ruler and pencil. Algebra is another interesting branch where we express our daily life situations in numbers and letters (variables).
1. Expanded the equation: \(12 - tx^2 - pn = 12 - t(2 - x)^2 - pm\)
2. Simplified: \(12 - tx^2 - pn = 12 - 4t + 4tx - tx^2 - pm\)
3. Eliminated the 12 and tx^2 terms: -pn = -4t + 4tx - pm
4. Rearranged the equation:\(-4tx = -4t + pn - pm\)
5. Divided both sides by \(-4t: x = 1 - (pm - pn) / 4t\)
So, your final answer is correct\(: x = 1 - (pm - pn) / 4t\)

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The three angles in the triangle ABC are approximately 0.45 radians (A and C) and 1.37 radians (B).

To determine the three angles in the triangle ABC, we can use the law of cosines, which relates the lengths of the sides of a triangle to the cosine of the angles opposite those sides. The law of cosines states that for a triangle with sides a, b, and c, and angles A, B, and C opposite those sides:

```

a^2 = b^2 + c^2 - 2bc cos(A)

b^2 = a^2 + c^2 - 2ac cos(B)

c^2 = a^2 + b^2 - 2ab cos(C)

```

We can use these equations to solve for the three angles in the triangle ABC.

First, we need to find the lengths of the sides of the triangle. We can use the distance formula to find the lengths of the sides AB, BC, and AC:

```

AB = sqrt((7-2)^2 + (7-2)^2) = sqrt(50)

BC = sqrt((4-2)^2 + (8-2)^2) = sqrt(52)

AC = sqrt((7-4)^2 + (7-8)^2) = sqrt(10)

```

Now we can use the law of cosines to solve for the angles:

```

cos(A) = (b^2 + c^2 - a^2) / 2bc

cos(B) = (a^2 + c^2 - b^2) / 2ac

cos(C) = (a^2 + b^2 - c^2) / 2ab

```

```

cos(A) = (50 + 10 - 52) / (2 * sqrt(50) * sqrt(10)) = 0.9

cos(B) = (50 + 52 - 10) / (2 * sqrt(50) * sqrt(52)) = 0.2

cos(C) = (10 + 52 - 50) / (2 * sqrt(10) * sqrt(52)) = 0.9

```

Now we can use the inverse cosine function to find the values of A, B, and C:

```

A = acos(0.9) ≈ 0.45 radians

B = acos(0.2) ≈ 1.37 radians

C = acos(0.9) ≈ 0.45 radians

```

Therefore, the three angles in the triangle ABC are approximately 0.45 radians (A and C) and 1.37 radians (B).

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Answer:

$1.35 will be your answer

Step-by-step explanation:

18 x 0.075 = 1.35

Answer:

\(1.35\)

Step-by-step explanation:

7.5% of 18$ is 1.35.

It would make no sense if the tax cost more than the actual item.

Answer:

B.  The value of \(\sqrt{8}\) is between 2.5 and 3.

Step-by-step explanation:

The square root of 8 is 2.83

The amount of total cost at q* is 1.

To determine the production level that minimizes total cost, we need to find the value of q (production level) at which the derivative of the total cost function TC(q) is equal to zero. Let's begin by finding the derivative of TC(q):

TC(q) = 10 - 6q + q^2

To find the minimum point, we differentiate TC(q) with respect to q:

d(TC(q))/dq = -6 + 2q

Setting the derivative equal to zero and solving for q:

-6 + 2q = 0

2q = 6

q = 3

So the production level q* that minimizes the total cost is 3.

To find the amount of total cost at q*, we substitute q = 3 into the total cost function TC(q):

TC(q*) = 10 - 6(3) + (3)^2

TC(q*) = 10 - 18 + 9

TC(q*) = 1

Therefore, the amount of total cost at q* is 1.

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The maximum likelihood estimate for p is 1/2, as it maximizes the likelihood of observing the sequence.

What is algebra ?

Algebra is a branch of mathematics in which letters and symbols are used to represent numbers and quantities in equations and formulas. Algebraic concepts include operations such as addition, subtraction, multiplication, and division, as well as the manipulation of equations

The maximum likelihood estimate (MLE) for p is the value that maximizes the likelihood function, which represents the probability of observing a particular sequence of red and white chips given the assumed distribution of reds and whites. In this case, we have two options for the proportion of reds, either 1/3 or 1/2. To calculate the likelihood of observing the sequence red, white, white, red, and white given p = 1/3, we calculate (1/3)(2/3)(2/3)(1/3)(2/3) = 4/243. To calculate the likelihood of observing the sequence given p = 1/2, we calculate (1/2)(1/2)(1/2)(1/2)(1/2) = 1/32. As we can see, the maximum likelihood estimate for p is 1/2, as the likelihood of observing this sequence given p = 1/2 is greater than the likelihood of observing this sequence given p = 1/3.

The maximum likelihood estimate for p is 1/2, as it maximizes the likelihood of observing the sequence.

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Answer:25

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

To solve this, we need to use the geometric mean(altitude theorem).

this is:

\(\frac{segment 1}{altitude} =\frac{altitude}{segment2}\)

We can input the values into this equation:

\(\frac{x}{3} =\frac{12}{x}\)

Now, we can cross multiply x by x and 3 by 12 to get:

\(x^2 = 3(12)\)

Simplifying this, we get:

\(x^2 = 36\)

The square root of 36 is 6, and therefore, x is six.

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Answer:

Step-by-step explanation:

The expression +3(5-3) can be simplified using the order of operations (PEMDAS) as follows: first, we need to perform the exponentiation operation, which gives us 125.

Then, we need to perform the operation inside the parentheses, which gives us 6. Finally, we multiply 3 by 6, giving us 18. Therefore, the simplified expression is 125 + 18 = 143.

To further explain this solution, we use the order of operations, which is a set of rules that dictate the order in which operations must be performed when evaluating an expression. The acronym PEMDAS stands for Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction, which represents the order of operations from left to right.

In this expression, we first need to evaluate the exponentiation operation, which is 5 to the third power. This gives us 125. Next, we need to perform the operation inside the parentheses, which is 5-3. This gives us 2. We then multiply 3 by 2, which gives us 6. Finally, we add 125 and 6, giving us 131.

It is important to follow the order of operations when simplifying an expression to ensure that we obtain the correct result. By using PEMDAS, we can systematically simplify an expression step-by-step, avoiding any potential errors and obtaining a clear and concise solution.

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Answer:

1.09 seconds

Step-by-step explanation:

I need the image that I am going to attach to solve the exercise.

We have the following information:

Confetti height from the ground is 25 feet

Person's height is 6 feet

So, the distance that the confetti would fall would be the subtraction of these heights, that is:

25-6 = 19 feet

d = 19 feet

We use the 5th equation of the attached image:

t = d ^ (1/2) / 4

replacing:

t = 19 ^ (1/2) / 4

t = 1.09 seconds

An integer known as a binomial number is created by evaluating a homogeneous polynomial with two terms, also known as a binomial.

Polynomials are algebraic expressions that include constants and indeterminates. Polynomials are a type of mathematics. In almost every branch of mathematics, they are used to express numbers, and calculus is one of those branches where they play a particularly significant role.

Polynomials include formulas like 2x + 9 and x² + 3x + 11. You may have noticed that none of these examples include the "=" sign.

Each variable's exponent in an algebraic expression for a polynomial must be a whole number. Polynomial exponents have to be non-negative integers. A polynomial cannot be divided by a variable even though it contains both constants and variables.

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