Simplify by factoring out the gcf only answer if you’re sure about the awnser ;)

The equation of the ellipse that has vertices at (-2,-3), (-2,5), (-4,1), and (0, 1) can be represented as x² + 4y² + 4x - 8y + 8 = 16.

Length of the major axis = distance between the points (-2, -3) and (-2, 5).

                                        = √[(-2 - -2)² + (5 - -3)²]

                                        = 8

2a = 8

a = 4

Length of the minor axis = distance between the points (-4,1), and (0, 1)

                                         = √[(0 - -4)² + (1 - 1)²]

                                         = 4

2b = 4

b = 2

Center = ((-2-2)/2, (-3+5)/2) = (-2, 1)

Equation of the elllipse is ,

[(x - -2)² / 4²] + [(y - 1)² / 2²] = 1

[(x + 2)² / 16] + [(y - 1)² / 4] = 1

Simplifying,

[(x + 2)² / 16] + [4(y - 1)² / 16] = 1

x² + 4x + 4 + 4y² - 8y + 4 = 16

x² + 4y² + 4x - 8y + 8 = 16

hence the required equation is x² + 4y² + 4x - 8y + 8 = 16.

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Answer:

Two congruent angles are ∠BCD, ∠ACD

Step-by-step explanation:

An angle is the figure formed by two rays sharing a common the vertex.

Two figures are said to be congruent if they have the same shape and size.

Two angles are congruent if their measures are the same.

Consider the given figure.

The two congruent angles are ∠BCD, ∠ACD as they have the same measure.

That is ∠BCD ≅ ∠ACD

Answer:

,

Step-b,y-step explanation:

Making implied premises explicit is important for ensuring clarity, transparency, evidence-based arguments, logical rigor, better communication, and improved decision making

There are several reasons to make implied premises explicit:

Clarity: Implied premises can sometimes be ambiguous or unclear. Making them explicit can help to avoid confusion and ensure that all parties involved understand the argument.

Transparency: Implied premises can hide the underlying assumptions of an argument. Making them explicit can increase the transparency of the argument and allow for greater scrutiny of its validity.

Evidence: Implied premises are often based on unstated assumptions or beliefs. Making them explicit can allow for the introduction of evidence to support or challenge these assumptions.

Logical rigor: Implied premises can make an argument appear stronger than it actually is. By making them explicit, the argument can be evaluated more rigorously and any weaknesses or gaps can be identified.

Better communication: Implied premises can be difficult to detect, especially in complex arguments. By making them explicit, the argument becomes easier to follow and understand, facilitating better communication between the parties involved.

Improved decision making: When the premises of an argument are made explicit, it becomes easier to weigh the pros and cons and make informed decisions based on the evidence presented.

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Answer:

brainlist pls

Step-by-step explanation:

mom give me brainlist pls mama pls brainlist pllsssssss

Answer:

999,960

Step-by-step explanation:

let x be a multiple of 120

120x ≤ 999,999

999,999 / 120 = 8333.325

8333 ≤ x ≤ 8334

8333(120) = 999,960

8334(1200) = 1,000,080  this is a 7-digit number

Therefore, the largest 6-digit number that is exactly divisible by 120 is 999,960

Answer:

1) 48

2)44

Step-by-step explanation:

Answer:  48 44 Are The Correct Answers

Step-by-step explanation:Hope This Helps

Complete Question:

Every Thursday, Matt and Dave's Video Venture has "roll-the-dice" day. A customer may choose to roll two fair dice and rent a second movie for an amount (in cents) equal to the numbers uppermost on the dice, with the larger number first. For example, if the customer rolls a two and a four, a second movie may be rented for $0.42. If a two and a two are rolled, a second movie may be rented for $0.22. Let X represent the amount paid for a second movie on roll-the-dice day. The expected value of X is $0.47 and the standard deviation of X is $0.15

Answer:

0.14

Step-by-step explanation:

Given that :

Expected value = 0.47

Standard deviation = 0.15

Sample size, n = 30

The mean = expected value * sample size

Mean = 0.47 * 30 = 14.1

Standard deviation of sample = σ / √n

0.15 = σ/√30

σ = 0.8216

P(x > 15) :

Z = (x - mean) /standard deviation

Z = (15 - 14.1) / 0.8216 = 1.095

P(Z > 1.095) = 0.1367

P(Z > 1.095) = 0.14

Answer:

  (x, y) = (-4, 4)

Step-by-step explanation:

See the attachment for the graphs.

We assumed your second equation is -2x+y=4.

The solution is (-4, -4).

__

If your dash is intended as an equation separator, we have misinterpreted your intent.

It should be noted that the place value of the first 5 is not 10 times as great as the value of the second 5

It should be noted that the given number is illustrated as 37,253,956. This can be written as:

37253956 =30000000 + 7000000 + 200000 + 50000 + 3000 + 900 + 50 + 6

Therefore, the value of the first 5 = 50000

The value of second 5 = 50

The division will be:

= 50000/50 = 1000

Therefore, the value is 1000 times the value of the second 5.

Therefore, the information illustrated is false.

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37,253,956 what is the value of the first 5 in California population 10 times as great as the value of the second 5? Explain

Premise 1: Hard water can damage home appliances. Premise 2: A water softening system can prevent hard water. Conclusion: Therefore, a water softening system can prevent damage to home appliances.

The argument consists of two premises and a conclusion. Premise 1 states that hard water can cause damage to home appliances. Premise 2 states that a water softening system can prevent hard water. The conclusion drawn from these premises is that a water-softening system can prevent damage to home appliances.

In standard form, the argument is presented by listing the premises first, followed by the conclusion. This format helps to clearly identify the statements being made and their logical relationship. By representing the argument in this way, it becomes easier to analyze the structure and validity of the reasoning presented.

Therefore, the standard form representation of the argument is:

Premise 1: Hard water can damage home appliances.

Premise 2: A water softening system can prevent hard water.

Conclusion: Therefore, a water softening system can prevent damage to home appliances.

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According to Gerald, the most common measurement is 14 quarter inches. This measurement is often used in various contexts and signifies a significant frequency.

Gerald asserts that the most frequently encountered measurement is 14 quarter inches. This particular measurement, also known as 3.5 inches, holds significance in various fields and applications. It is commonly employed in carpentry, where it serves as a standard measurement for certain materials and dimensions. Additionally, the 14 quarter inches measurement finds relevance in the realm of fabric and sewing, as it corresponds to the width of certain ribbons, trims, or elastic bands. In construction, it can be used to represent the thickness of certain materials, such as boards or tiles. This measurement's prevalence can be attributed to its practicality and convenience in many everyday scenarios, making it a familiar unit for many individuals across different industries.

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If ΔSTU ~ ΔXYZ, the statements that must be true are ∠S ≅ ∠X, ∠T ≅ ∠Y and ST/XY = SU/XZ.Two triangles are said to be similar when their corresponding angles are equal and their corresponding sides are proportional.

The symbol ≅ denotes congruence, and ~ denotes similarity. Since it is given that ΔSTU ~ ΔXYZ, it can be deduced that corresponding angles are equal, and corresponding sides are proportional. That means, ∠S ≅ ∠X and ∠T ≅ ∠Y. The similarity ratio can be expressed as the ratio of corresponding sides. In this case, the ratio of sides can be expressed as ST/XY = SU/XZ. These ratios will be equal as the corresponding sides are proportional. Hence, the statement ST = XY is false but ST/XY = SU/XZ is true. Thus, the statements that must be true are ∠S ≅ ∠X, ∠T ≅ ∠Y and ST/XY = SU/XZ.

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Answer: About 14 liters of gasoline is required.

Step-by-step explanation:

On the map,

1 centimeter= 25 kilometers.

Distance the towns along the highway is 4.5 centimeters.

Actual distance = 4.5 x 25 km

= 112.5 km

Tori's car uses 0.123 liter of gasoline for each kilometer of highway driving.

Total gasoline required = 0.123  x  112.5 km

= 13.8375 liters≈ 14 liters

hence, about 14 liters of gasoline is required.

Answer:

Its D if you think about it

Step-by-step explanation:in your mind move the triangle on the top right down 6 units and then turn your triangle 90 degrees counter clockwise (quick maths)

The only transformation that will move the triangle in quadrant 1 onto the similar triangle in quadrant three is;

Option D; translation 6 units down and rotation 90° counterclockwise

The y-coordinate of the right angle vertex of the triangle in quadrant 1 is y = -2. Meanwhile the y-coordinate of the same right angle point of the triangle in quadrant 3 is y = -4.

Thus, for the triangle in quadrant 1 to be on the same level with that in quadrant 3, we need to translate the triangle in quadrant 1 downwards by 6 units.

Now, since we want to map this newly translated triangle to the one in quadrant 3 and as such we need to rotate it 90° counterclockwise

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The hierarchical database model is based on a tree structure, where data is organized in a parent-child relationship. Each parent segment can have multiple child segments, but each child segment has only one parent.

In this model, data access is typically navigated from the top-level parent segment to its child segments in a hierarchical manner. The parent-child relationships provide a clear structure for organizing and representing data. However, it also means that a lack of a parent segment or a child segment is not allowed in this model.

Compared to a matrix structure, where segments can have relationships with multiple other segments, the hierarchical model is more rigid in its one-to-many relationship between parent and child segments.

However, it may pose challenges when dealing with complex or interrelated data that doesn't fit neatly into a hierarchical structure.

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The probability of the spinner landing on the letter C is 1/4

To understand the probability of the spinner landing on the letter C, we need to start by looking at the total number of possible outcomes. In this case, there are four possible outcomes, corresponding to the four letters A, B, C, and D.

Since each of the four quadrants on the spinner is equal in size, each of the four letters has an equal chance of being landed on. Therefore, the probability of the spinner landing on the letter C is the number of ways that the spinner can land on C, divided by the total number of possible outcomes.

Since there is only one way for the spinner to land on C, and there are four possible outcomes in total, the probability of the spinner landing on the letter C is 1/4

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The given question is incomplete, the complete question is:

A spinner with four equal quadrants labeled A, B, C, and D is spun. What is the theoretical probability of the spinner landing on the letter C

Answer:

angle DEC is 45 degrees

Step-by-step explanation:

angle DEC is 45 degrees because it is supplementary to 135 degrees

(with 135 degrees, adds up to 180 degrees)

Factoring an equation is the process of finding the common factors that multiply to give the terms in the equation. It is a fundamental skill in algebra and is used to simplify equations, solve equations, and find solutions to problems.

In this example, we have factored the equation by using the distributive property in reverse. We have removed the product of (x+4)(x+2) from both sides of the equation. This is a very common method of factoring equations.

Another way to factor an equation is to use the difference of squares method. For example, x^2 - 25 = (x+5)(x-5).

A third method is to factor by grouping. For example, x^3 + 4x^2 -4x - 16 = (x^3 + 4x^2) - (4x + 16) = x(x^2 + 4x) -4(x + 4).

It's also important to note that not all equations can be factored. In some cases, you may need to use other methods such as completing the square or using the quadratic formula to solve the equation.

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The solution to the system of linear equations is, (2.3, 4.1)

Given the system of the equation:

Equation number 2 can be written as

\(x=\dfrac{y+7}{5}\)

Put the value of x in equation number 1 we will get

⇒      \(2\times\dfrac{y+7}{5} +3y=16.9\)

⇒  \(2x+14+15y=84.5\)

⇒ \(y=4.1\)

Put the value of y in equation number 2 we will get value of x.

\(5x=y+7\)

\(x=\dfrac{y+7}{5}\)

\(x=\dfrac{4.1+7}{5}\)

\(x=2.3\)

Hence the solution to the system of linear equations is, (2.3, 4.1)

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Lengths of the above question, we have BF = 3GM = 36, since GM = 12.

A triangle is a clοsed geοmetric shape that cοnsists οf three line segments that intersect at three endpοints tο fοrm three angles, with the sum οf the angles being 180 degrees. It is οne οf the basic shapes in Euclidean geοmetry.

Let M be the midpοint οf side BC. Since G is the centrοid οf triangle ABC, we knοw that GM is οne-third the length οf median BF, and hence BF = 3GM.

Since G is the centrοid, we knοw that GD is twο-thirds the length οf median CD, and hence GD = 2/3 * CD = 2/3 * 30 = 20.

Let x be the length οf AM. Then AG is alsο a median οf triangle ABC, sο AG = 2/3 * AE. We have:

BM = BC/2 = 18 (since BG = 6)

GM = BM - BG = 12

AM = 2GM = 24

ME = AE - AM = 8 (since AE = 32)

Therefοre, AE = AM + ME = 24 + 8 = 32, and AG = 2/3 * AE = 2/3 * 32 = 64/3.

Finally, we have BF = 3GM = 36, since GM = 12.

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Answer:

B

Step-by-step explanation:

Becaus it just is

Answer:yea he right...btw why u cheatin-..on a unit test

Step-by-step explanation:

The derivative of a function f(x) at a point x = a is defined as the limit of the difference quotient as h approaches zero:

f'(a) = lim (h → 0) [f(a + h) - f(a)] / h

What is derivative?

The derivative of a function in calculus measures the function's sensitivity to changes in its input variable. Specifically, at a particular point, it represents the function's rate of change with respect to its input variable at that moment.

The derivative of a function f(x) at a point x = a is defined as the limit of the difference quotient as h approaches zero:

f'(a) = lim (h → 0) [f(a + h) - f(a)] / h

This limit represents the instantaneous rate of change or slope of the function at the point x = a. The difference quotient is the change in the function value divided by the change in the input variable (or the distance between two points on the graph of the function).

The derivative is a fundamental concept in calculus, and it has many applications in various fields of science, engineering, and economics. It allows us to calculate important quantities such as velocity, acceleration, and marginal cost, and it is used to optimize functions and solve many real-world problems.

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Answer:

Lashawn used 15, $0.50 stamps, 21, $0.35 stamps, and 8, $0.02 stamps to mail the package

Step-by-step explanation:

The given parameters are;

The number of stamps Lashawn used to mail the small package = 44

The price of the combination of 44 stamp = $15.01

The price categories of the stamps are $0.50, $0.35, and $0.02

The number of $0.35 stamps = 2 × The number of $0.50 stamps - 9

Let, x represent the number of $0.50 stamps Lashawn used to mail the package

We have;

The number of $0.50 stamps Lashawn used to mail the package = x

The number of $0.35 stamps = 2 × x - 9 = 2·x - 9

The number of $0.35 stamps = 2·x - 9

The number of $0.02 stamps = 44 - x - (2·x - 9) = 44 - x - 2·x + 9 = 53 - 3·x

The number of $0.02 stamps = 53 - 3·x

Which gives;

0.5 × x + 0.35 × (2·x - 9) + 0.02 × (53 - 3·x) = 15.01

0.5·x + 0.7·x - 3.15 + 1.06 - 0.06·x = 15.01

1.14·x - 2.09 = 15.01

1.14·x = 15.01 + 2.09 = 17.1

x = 17.1/1.14 = 15

x = 15

The number of $0.50 stamps Lashawn used to mail the package = x = 15 stamps

The number of $0.50 stamps Lashawn used = 15 stamps

The number of $0.35 stamps Lashawn used = 2·x - 9 = 2 × 15 - 9 = 21 stamps

The number of $0.02 stamps Lashawn used = 53 - 3·x = 53 - 3 × 15 = 8 stamps.

Answer:

y=3x-5

Step-by-step explanation:

Answer

linear

nonproportional

Step-by-step explanation:

Since for each equal change in time (1 week), there is an equal change in weight (5 lb), the situation is linear.

At time zero, the first week, the weight was not zero. It was 60 lb, so it is not proportional.

Answer:

linear

nonproportional

Answer:

O = 29

P = 61

Step-by-step explanation:

90 = (x+3) + (2x+9)

90 = 3x + 12

90 - 12 = 3x

78 = 3x

x = 26

26 + 3 = O = 29

(26 * 2) + 9 = P = 61

61 + 29  = 90 = Complementary Angles

Answer:

six teaspoons

Step-by-step explanation:

12 fish tanks, each 20 quarts

12x20=240 quarts in 12 tanks

we need to convert quarts to gallons

4 quarts equal one gallon, so

240/4=60 gallons in 12 tanks

60 gallons divided by every 10 gallons equal six teaspoons.

We are given that the quadratic function has the equation:

y = a(x + 6)(x - 2)

To find the value of a, we can use the fact that the function passes through the point (3, 36). This means that when x = 3, y = 36. Substituting these values into the equation, we get:

36 = a(3 + 6)(3 - 2)

36 = 9a

a = 4

Therefore, the value of a is 4.