Write the transformation matrix and the resultant matrix that will translate the triangle, (-2, 4), given the triangles vertices are at A(-1, 3), B(0, -4) and C(3, 3).

Answer:

(2x*+6)(x-2)

2x(x-2)+6(x-2)

2xx+2x(-2)+6x +6(-2)

we know ;

(-). (-) = +

(-). (+) = -

(+). (-) = -

(+). (+) = +

2xx-2x(2)+6x -6(2)

2x^2  - 4x + 6x  -12

2x^2  - 2x  -12

Step-by-step explanation:

Answer:

it the 3rd one

Step-by-step explanation:

Answer:

3rd one

hope this helps :)

∠CFA ≅ ∠EDA (By Transitive Property of Congruence).

Given:

Three lines AD, CF, and BE are intersecting each other at the midpoint O.

To prove:

∠CFA ≅ ∠EDA

Proof:

Given that AD, CF, and BE intersect at the midpoint O.

By definition of a midpoint, OA ≅ OD, OB ≅ OE.

OA = OD and OB = OE.

Triangle OAD ≅ Triangle OBE (By Side-Side-Side congruence).

∠OAD ≅ ∠OBE (By Corresponding Parts of Congruent Triangles are Congruent).

∠CFA and ∠EDA are vertical angles.

∠OAD ≅ ∠CFA and ∠OBE ≅ ∠EDA (By Vertical Angles are Congruent).

Therefore, ∠CFA ≅ ∠EDA (By Transitive Property of Congruence).

Hence, it is proven that ∠CFA ≅ ∠EDA.

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For the given matrix A, the minors M13, M23, M33 are 8, -4, and 10 respectively. The cofactors C13, C23, C33 are 8, 4, and 10 respectively. The determinant det(A) is 68.

To find the minors of a matrix, we need to find the determinants of the submatrices obtained by removing the row and column corresponding to the element of interest. In this case, the minors M13, M23, and M33 correspond to the determinants of the 2x2 submatrices obtained by removing the first row and the third column, second row and third column, and third row and third column, respectively.

To find the cofactors, we multiply each minor by a positive or negative sign based on its position in the matrix. The signs alternate starting with a positive sign for the top left element. In this case, the cofactors C13, C23, and C33 correspond to the minors M13, M23, and M33 respectively.

Finally, the determinant of a 3x3 matrix can be found by using the formula det(A) = a11C11 + a12C12 + a13C13, where a11, a12, and a13 are the elements of the first row of the matrix and C11, C12, and C13 are their corresponding cofactors. In this case, the determinant det(A) is 68.

Therefore, the minors M13, M23, M33 are 8, -4, and 10 respectively. The cofactors C13, C23, C33 are 8, 4, and 10 respectively. And the determinant det(A) is 68.

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Answer:

Area = 144 inches2

or

Area = 1 feet2

Steps:

1.5 feet = 18 inches

Area =  l × w

=  8 × 18

=  144 inches2

or

8 inches = 0.66666666666667 feet

Area =  l × w

=  0.66666666666667 × 1.5

=  1 feet2

The probability that they're both home is 1/12.

In the given question,

Probability of Maya at home P(A) = 1/3

And probability of Jim at home P(B) = 1/4

The probability that Jim is home given that maya is home P(A∪B) = 1/2

We have to find the probability when they both are at home P(A ∩ B).

As we can see that the probability of both the events are independent

So, we can use

P(A ∪ B) = P(A) + P(B) – P(A ∩ B)

Therefore,

1/2 = 1/3 +1/4 – P(A ∩ B)

P(A ∩ B) = 7/12 – 1/2

P(A ∩ B) = 1/12

Hence, the probability that they're both home is 1/12.

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A residual is the difference between "the measured and predicted values of the quantity of interest".

In regression analysis, a residual would be the difference between an observable and anticipated value.

The formula is;

Residual = Observed value – Predicted value

Some key features regarding the residuals are-

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When analyzing a set of data, if the results support a hypothesis, it does not prove the hypothesis is true. It merely provides evidence in support of the hypothesis. There are numerous reasons why a hypothesis might be supported, but that doesn't mean it is universally true.

After analyzing a set of data, if the results are inconsistent with a hypothesis, it does not prove the hypothesis is false. It merely implies that the hypothesis is not supported by the data. A hypothesis might still be correct even if the data does not support it.

Hypothesis testing is a method of scientific inquiry that compares two hypotheses using empirical data. The goal of hypothesis testing is to decide which hypothesis is more likely to be correct based on the available evidence.

It is a critical component of the scientific method because it allows researchers to verify or reject hypotheses in a rigorous and systematic manner.

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Answer:

1. May 1790  2. someone broke the first copyright law  3. copyright  4. novel

Step-by-step explanation:

Answer:

u = 21

Step-by-step explanation:

\(\frac{u-5}{8}\) = 2 ( multiply both sides by 8 to clear the fraction )

u - 5 = 16 ( add 5 to both sides )

u = 21

Answer:

y=3x+2

Step-by-step explanation:

Find the slope. Slope=Rise/Run=3. Use plot points to find intercept. 5=3(1)+b, 5=3+b, 2=b

The most the salon would be willing to pay that groomer is $25×4 = $100.

The unitary method is a technique that determines the worth of a single unit from value of multiple units, as well as the quality of multiple units from value of a single unit.

Some key features regarding the unitary method are-

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Answer:

4/1 is the answer

Step-by-step explanation:

according to rules 1st divide then multiple

last addition and subtraction

Answer:

12/13

Step-by-step explanation:

A standard deck of cards has four suites

Total number of cards = 52

Total number of cards which are 4 is = 4

The probability that the card selected is 4 = 4/52 = 1/13

S,  the probability that the selected card is not a 4 = 1 - (1/13 )= 12/13

The derivative of the given function f(x) is f'(x) = 10x + 15/x⁴- 4.

To find the derivative of the given function f(x), we will apply the power rule and the constant rule.

Let's break down the function into its separate terms and differentiate each term individually.

f(x) = (5x² - 9x + 9) - 5x⁻³ + 5x + 7

Applying the power rule, the derivative of \(x^n = nx^{(n-1)\), and the derivative of a constant is 0.

Taking the derivative of each term:

1) Derivative of 5x²: (5)(2)x²⁻¹

= 10x

2) Derivative of -9x:

(-9)(1)x¹⁻¹ = -9

3) Derivative of 9: 0 (since it's a constant)

4) Derivative of -5x⁻³: (-5)(-3)x⁻³⁻¹ = 15⁻⁴ = 15/x⁴

5) Derivative of 5x: (5)(1)x¹⁻¹ = 5

6) Derivative of 7: 0 (since it's a constant)

Putting it all together, the derivative of f(x) is:

f'(x) = 10x - 9 + 0 + 15/x⁴ + 5 + 0

f'(x) = 10x + 15/x⁴ - 4

Therefore, the derivative of the given function f(x) is f'(x) = 10x + 15/x⁴- 4.

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Having different confidence intervals can give more precise information on the accuracy of an agent's decision-making and is useful in measuring the trustworthiness of agents. However, it can also create discrepancies between agents that are otherwise performing the same task and it can lead to unequal confidence in the decisions being made.

The advantages of having different confidence intervals for the agents would be that it allows for more precise estimates of the true population mean. This can be useful when there is a lot of variability in the data or when the sample size is small. Additionally, different confidence intervals can also be useful when comparing different groups or populations.

On the other hand, the disadvantages of having different confidence intervals for the agents would be that it can be confusing and difficult to interpret. It can also be more difficult to make comparisons between different groups or populations when there are different confidence intervals.

Overall, the decision to use different confidence intervals for the agents should be based on the specific goals and objectives of the study. It is important to carefully consider the advantages and disadvantages of different confidence intervals in order to make the best decision for your study.

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Yes, one pair of sides is both parallel and congruent

I think that's it

A soccer ball kicked from the ground with an initial velocity of 72 ft/s will be in the air for 4.5 seconds.

The time that a soccer ball will be in the air is determined by the equation:

t = (2 × v₀) / g

where:

t is the time in seconds

v₀ is the initial velocity in feet per second

g is the acceleration due to gravity, which is 32 feet per second squared

In this case, the initial velocity is 72 ft/s, so the time in the air is:

t = (2 × 72) / 32 = 4.5 seconds

Therefore, a soccer ball kicked from the ground with an initial velocity of 72 ft/s will be in the air for 4.5 seconds.

The time in the air will be longer if the initial velocity is higher, and shorter if the initial velocity is lower. The time in the air will also be shorter if the acceleration due to gravity is lower.

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Null hypothesis (H0): The population median price of single-family homes in the town has not changed since 2018.

H0: μ = $250,000

Alternative hypothesis (Ha): The population median price of single-family homes in the town has increased since 2018.

Ha: μ > $250,000

The null hypothesis assumes that there has been no change in the median price since 2018, while the alternative hypothesis assumes that the median price has increased. The alternative hypothesis is one-sided, as the broker is interested in testing whether the price has increased, rather than testing whether there has been any change (i.e., a two-sided test).

The null and alternative hypotheses for the scenario can be stated as follows:

Null hypothesis (H0): The population median price of single-family homes in the town has not changed since 2018.

H0: μ = $250,000

Alternative hypothesis (Ha): The population median price of single-family homes in the town has increased since 2018.

Ha: μ > $250,000

In the above hypotheses, μ represents the population median price of single-family homes in the town.

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Answer:

Radius is 3 units

Center is (0,5)

Step-by-step explanation:

Compared to the standard form of the equation of a circle, \((x-h)^2+(y-k)^2=r^2\), we have a center of \((h,k)\rightarrow(0,5)\), and a radius of \(r=3\).

The discriminant value associated with this quadratic equation when it has zero real number solutions is -5.

Option A is the correct answer.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 3 = 8 is an equation.

We have,

In a quadratic equation when the discriminant is 0 we get one real solution.

In a quadratic equation when the discriminant is positive we get two real solutions.

In a quadratic equation when the discriminant is negative we get a complex solution.

A complex solution is not a real solution.

So,

The discriminant value must be -5.

Thus,

The discriminant value associated with this equation is -5.

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Answer: It’s A: -5

Step-by-step explanation:

on edge 2020

(Took test)

Answer:

it's the first one.

LETTER "A"

Answer:

Step-by-step explanation:

tis A

Answer:

8 meters

Step-by-step explanation:

This means that the shadows at this time is twice as tall as normal.

4*2=8

Luka's shadow is 8 meters tall.

Answer: This is the formula to find the volume of a triangular prism. V=1/4h﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4

Answer:

\(c= \sqrt{41}\)

Step-by-step explanation:

\(a^{2} +b^{2} =c^{2} \\4^{2} + 5^{2} = 16 + 25 = \sqrt{41} = c\)

Answer:

6.4

Step-by-step explanation:

As we can see it is a right angled triangle so

perpendicular (p)= 5

base (b) = 4

hypotenuse (h) = c = ?

we know

by using Pythagoras theorem,

h² = p² + b²

or h = √(p² + b²)

c = √( 5² + 4 ² )

c = √41

c = 6.4

hope it helps :)

The value of the integral is 2pi.

To interpret the given integral in terms of areas, we need to recognize that the integrand, \(\sqrt(4-x^2),\) represents the upper half of a circle with radius 2 centered at the origin.

First, we can sketch the graph of\(y = \sqrt(4-x^2)\)over the interval [-2, 2]:

      |         /\            |

   2 |       /    \          |

      |      /        \       |

     |     /            \     |

     |_/_____  __\_|

         -2         2

The integral can be evaluated as follows:

\(int_(-2)^2 \sqrt(4-x^2) dx\) = area of upper half of circle with radius 2 and center at (0, 0)

                         = (1/2) * pi *\(r^2\), where r = 2

                         = (1/2) * pi * 4

                         = 2pi

Therefore, the value of the integral is 2pi.

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a. Use the horizontal axis for the response variable and the vertical axis for the explanatory variable

A scatterplot may be a sort of chart that's utilized to appear the relationship between two sets of numbers or variables. It is frequently utilized in math and science to assist get it how distinctive things are related to each other.

When we make a scatterplot, we plot each combination of numbers on a chart with one number on the x-axis (level) and the other number on the y-axis (vertical). At that point, we utilize dabs to appear where each combination of numbers is found on the chart.

By looking at the scatterplot, we will see in case there's a relationship between the two factors we are comparing. On the off chance that the specks are clustered together in a line or bend, at that point there's a solid relationship between the factors.

In case the dabs are spread out all over the chart, at that point there's not a solid relationship between the factors.

It is standard to utilize a scatterplot to show the relationship between two quantitative factors since it permits us to outwardly see the relationship and superior get how the factors are related. 

The complete question is
when using a scatterplot to display the relationship between two quantitative variables, it is customary to?

a.Use the horizontal axis for the response variable and the vertical axis for the explanatory variable

b. Cross the axes at the value (0, 0)

c.Connect the data points in the order they appear in the dataset
d. Use the horizontal axis for the response variable and the vertical axis for the response variable

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Answer:

p^2 - q^2

Step-by-step explanation:

This is an example of "the product and difference of two squares."

The relevant formula is (a - b)(a + b) = a^2 - b^2 (no middle term).

Here,the desired product is (p - q)(p + q) = p^2 - q^2.

Answer:

(p - q)(p+q). :p²-q²....

In response to the given question, we can state that Rounding this to the  Pythagorean theorem nearest inch gives an answer of \($\boxed{\textbf{(D) }45}$\)

The Pythagorean Theorem is the foundational Euclidean geometry relationship among a right triangle's three sides. The area of a cube with the velocity vector side is the sum of something like the areas of squares that have the other two sides, according to this rule. The rectangle that spans the slope of a triangular shape across the sharp angle equals the total of the rectangles that span its sides, as defined by the Pythagorean Theorem. In general algebraic notation, it is written as a2 + b2 = c2.

The height of each triangle can be found using the Pythagorean theorem:

\($15^2 - \left(\frac{20}{2}\right)^2 = 225 - 100 = 125$, so the height of each triangle is $\sqrt{125} = 5\sqrt{5}$.\)

The overall height of the kite is the sum of the heights of the two triangles, which \(is $2 \cdot 5\sqrt{5} = 10\sqrt{5}$.\)

Rounding this to the nearest inch gives an answer of \($\boxed{\textbf{(D) }45}$\)

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