3. Find the measure of the sides of the triangle if the vertices of AEFG are E
(1,4), F(5, 4), and G(1,0). Then classify the triangle by its sides.

Answers

Answer 1

The triangle EFG is an isosceles triangle as side EF is congruent to side EG.

How to determine a triangle according to its sides

In this question we have a triangle whose vertices are known. We need to define the figure according to the congruency among its sides. Two sides are congruent when both have the same length. There are three kinds of triangles:

Scalene - Three sides of different length.Isosceles - Two sides of equal length.Equilateral - All sides are of equal length.

Sides are formed each pair of vertices. The length of each side can be found by means of Pythagorean theorem:

l = √[(Δx)² + (Δy)²]

First, write the locations of the vertices:

E(x, y) = (1, 4), F(x, y) = (5, 4), G(x, y) = (1, 0)

Second, determine the length of every side of the triangle:

EF = √[(5 - 1)² + (4 - 4)²]

EF = 4

FG = √[(1 - 5)² + (0 - 4)²]

FG = √[4² + (- 4)²]

FG = 4√2

EG = √[(1 - 1)² + (0 - 4)²]

EG = 4

By direct comparison, we conclude that the triangle EFG is an isosceles triangle.

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Related Questions

Which expression is equivalent to -3(2x - 8) + 4x?
A
B
C
D
-2x-8
-2x + 24
-10x8
-10x + 24

Which expression is equivalent to -3(2x - 8) + 4x?ABCD-2x-8-2x + 24-10x8-10x + 24

Answers

Answer:

-2x+24

Step-by-step explanation:

given,

= -3(2x-8)+4x

= -6x+24+4x

= 2x+24

therefore 2x+24 is the required equation.

hope it helps!

Factor each completely and show your work.
2x^2 + 11y + 5

Answers

To factor 2x^2 + 11y + 5 completely, we need to find two binomials that multiply to give us the original expression.

One possible method is to use the factoring by grouping method:

2x^2 + 11y + 5
= 2x^2 + 10y + y + 5
= 2x(x + 5) + y(x + 5)
= (2x + y)(x + 5)

Therefore, the factored form of 2x^2 + 11y + 5 is (2x + y)(x + 5).

Which of the following shows the interval of the domain where
the function f(x)=x2 - 2x+5 is decreasing?

Which of the following shows the interval of the domain wherethe function f(x)=x2 - 2x+5 is decreasing?

Answers

The domain of the function where the function is decreasing is (-∞, 1). Then the correct option is D.

What are domain and range?

The domain means all the possible values of the x and the range means all the possible values of the y.

The function is given below.

f(x) = x² - 2x + 5

The equation can be written as

f(x) = x² - 2x + 1 + 4

f(x) = (x - 1)² + 4

Then the domain of the function where the function is decreasing will be (-∞, 1).

Then the correct option is D.

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Write an equation in point-slope form of the line that passes through the point (4,-1) and has a slope of -5

Answers

Answer:

y+1=-5(x-4)

Step-by-step explanation:

YOUR WELCOME

A triangle has a base of 12 feet and a height of 8 feet. By how much does the height need to increase for the area to increase by 4.5 square feet?

Answers

Answer:

hello gimme-Dem points.

Step-by-step explanation:

x−4y=−4 Determine the x- and y-intercepts for the equation given in standard form. Give your answers as integers.

Answers

Answer:

For X is (x=4y−4) and for Y is (y= 1 /4 x+1)

Step-by-step explanation:

Let's solve for x.

x−4y=−4

Step 1: Add 4y to both sides.

x−4y+4y=−4+4y

x=4y−4

Answer:

x=4y−4

Let's solve for y.

x−4y=−4

Step 1: Add -x to both sides.

x−4y+−x=−4+−x

−4y=−x−4

Step 2: Divide both sides by -4.

−4y /−4  =  −x−4 /−4

y= 1 /4 x+1

what is the solution to the equation 35-2x=23

Answers

Answer:

x = 6

Step-by-step explanation:

35 - 2x = 23

35 - 23 - 2x = 0

35 - 23 = 2x

12 = 2x

x = 6

35- 2x = 23

Subtract 35 from both sides.

-2x = 23 - 35

Subtract 35 from 23 to get −12.

-2x = -12

Divide both sides by −2.

x = -12 / - 2

Divide −12 by −2 to get 6.

x = 6 ===> Answer

What are the sums for both of those?

What are the sums for both of those?

Answers

I don’t think I can help you with this but good luck! And I hope you have an amazing day! :)

What values of the orbital number, or angular momentum (l) and magnetic (m_l) quantum numbers...

Answers

1a)The values of l range from 0 to (n-1), so for n = 3, l can have the values 0, 1, and 2.

b) The values of m can be -2, -1, 0, +1, and +2

c) There are a total of 9 orbitals

What are quantum numbers?

The qualities and traits of quantum systems, like the electrons in atoms, are described by a set of numbers known as quantum numbers. They offer knowledge on the system's energy, angular momentum, orientation, and spin, among other characteristics.

Using the formula, number of electrons = \(n^2\)

Number of electrons =\(3^2 = 9\)

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Can the triangles be proven similar and how

Can the triangles be proven similar and how

Answers

Answer:

yes

Step-by-step explanation:

∣−1−g∣=−1
solve for the variable

Answers

Answer:

no solution

Step-by-step explanation:

|-1-g|=-1

There's no value of g   that makes the equation be true since an absolute value can never be negative.

Can you deposit $1200 into a savings account that earns simple interest at a rate of 3% per year. How much interest have you learned after three years?

Answers

Answer:4,200

Step-by-step explanation:

The original balance in Aisha’s account was $760. Last week, she wrote five checks to her employees, each for $100. what is Aisha’s net balance?​

Answers

The answer would be $260

Aisha's net balance after writing the check of $100 to five employees will be $260 .

Given, Aisha’s account balance $760.

Now, to get the net balance of account after deductions .

Remaining amount = Original Balance - Payment amount.

Substitute the values,

Remaining amount = $760 - 5 × $100

Remaining amount = $760 - $500

Remaining amount = $260

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pleases show workkkkkkkkkkkkkkkk

pleases show workkkkkkkkkkkkkkkk

Answers

Answer:

5) 2(4 - n) = -3n

2 × 4 - 2 × n = -3n

8 - 2n = -3n

-2n + 3n = -8

1n = -8

n = -8/1

n = -8

6) 5 - 3(2 + 2w) = -7

5 - 3 × 2 + -3 × 2w = -7

5 - 6 - 6w = -7

-1 - 6w = -7

-6w = -7 + 1

-6w = -6

w = -6/-6

w = 1

7) 5(2r + 3) - 5 = 0

5 × 2r + 5 × 3 - 5 = 0

10r + 15 - 5 = 0

10r + 10 = 0

10r = -10

r = -10/10

r = -1

8) 3 - 5(2d - 3) = 4

3 - 5 × 2d - 5 × -3 = 4

3 - 10d + 15 = 4

-10d + 15 + 3 = 4

-10d + 18 = 4

-10d = 4 - 18

-10d = -14

d = -14/-10

d = 7/5

hope this helps you!!

in a regression model, if variance of the dependent variable, y, conditional on an explanatory variable, x, or var(y|x), is not constant, .

Answers

The t statistics and the confidence intervals are both invalid no matter how large sample size is in a regression model if variance of dependent variable Y, conditional on an explanatory variable x , or Var(y|x)  is not constant.

Regression is a statistical technique that relates independent variable to one or more independent variables

It shows Whether changes observed in the dependent variable are associated with the changes in one more more of the explanatory variables .

The 2 basic type of regressions are

Simple linear regression Multi linear regression

If in a regression model, a variance of dependent variable Y ,conditional on an dependent variable x is not constant then the t statistics and the confidence intervals both are not valid regardless of sample size

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Put these numbers in order from least to greatest.

Put these numbers in order from least to greatest.

Answers

Answer:

Switch the second and third one on what you have now. U r good to go

Step-by-step explanation:

7/25=.28

8/32=.25

Find the critical point of the given function and then determine whether it is a local maximum, local minimum, or saddle point. (Order your answers from smallest to largest xx, then from smallest to largest yy.)f(x,y)=(x−y)(xy−9)

Answers

The critical points of function f(x,y) are (0,0) and (2,1), and (2,1) is a local maximum.

To find the critical points of f(x,y), we need to find all values of (x,y) where the gradient of f(x,y) equals zero. The gradient of f(x,y) is given by:

∇f(x,y) = <(y-2xy), (x-2y^2)>

Setting each component of the gradient equal to zero yields two equations:

y - 2xy = 0

x - 2y^2 = 0

Solving these equations simultaneously, we obtain two critical points: (0,0) and (2,1).

To determine the nature of each critical point, we compute the Hessian matrix of f(x,y):

H(f) = [ 2y -2x ]

[-2y 4y ]

At (0,0), H(f) = [0 0; 0 0], which is a degenerate matrix. Therefore, we cannot use the second derivative test to determine the nature of this critical point.

At (2,1), H(f) = [2 -4; -2 4], which has a negative determinant and a positive trace. Therefore, by the second derivative test, we conclude that (2,1) is a local maximum.

In summary, the critical points of f(x,y) are (0,0) and (2,1), and (2,1) is a local maximum.

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Can someone help me with this?

Can someone help me with this?

Answers

Not exactly sure what x: and y: mean, but I’ll try my best with my interpretation

x: weeks
y: money (dollars)

slope: 400x
meaning: James makes $400 per week

y-int: -1200
meaning: James began with a debt of -1200 dollars

Equation: y = 400x - 1200

Billy has a gift card with a $160 balance. He buys several video games that cost $40 each. After the purchases, his gift card balance is $40. Enter an equation to help find out how many video games Billy bought.

Answers

Answer:

160÷3=40

Step-by-step explanation:

that is the answerrrrrrrrrrrrrrrrrrrrrrrrrrr

Which of the following terms correctly describe the object below?A.SquareB.PolygonC.TriangleD.PolyhedronE.PyramidF.Prism

Which of the following terms correctly describe the object below?A.SquareB.PolygonC.TriangleD.PolyhedronE.PyramidF.Prism

Answers

Recall the definition of each concept to check if it fits the figure.

A) Square: A square is a quadrilateral whose sides all have the same length.

B) Polygon: A polygon is a 2D shape formed by non-intersecting straight segments.

C) Triangle: A triangle is a polygon with exactly 3 sides.

D) Polyhedron: A polyhedron is a 3D shape formed by flat polygonal shapes.

E) Pyramid: A pyramid is a polyhedron formed by a simple polygon whose lateral faces are triangles that converge in a common vertex.

F) Prism: A prism is a polyhedron formed by two parallel and equal polygonal faces, whose lateral faces are parallelograms.

The given object is a 3D shape formed by flat polygonal shapes, with a base that is a quadrilateral and whose lateral faces are triangles that converge in a common vertex.

Therefore, the only two terms that correcty describe the given object are:

D) Polyhedron

E) Pyramid

What impact does the reinforcement schedule you follow (e.g., continuous or partial (Fixed Ratio... Varied Ratio.... Fixed Interval...Varied Interval) have on how quickly a response/behavior will be learned and how quickly extinction will occur?

Answers

The choice of reinforcement schedule can have important implications for both learning and the persistence of behavior over time.

The reinforcement schedule can have a significant impact on how quickly a response/behavior is learned and how quickly extinction occurs.

In general, continuous reinforcement schedules (where the behavior is reinforced every time it occurs) tend to result in faster learning of the behavior than partial reinforcement schedules (where the behavior is only reinforced some of the time). This is because the individual learns more quickly that the behavior is associated with the reinforcement.

However, once the behavior is learned, partial reinforcement schedules tend to result in greater resistance to extinction than continuous reinforcement schedules. This is because the individual has learned that the behavior is not always followed by reinforcement, so they are more likely to persist in the behavior even if reinforcement is no longer provided.

Among partial reinforcement schedules, fixed ratio schedules (where reinforcement is provided after a fixed number of responses) tend to lead to the fastest responding and highest rates of responding, but also tend to result in rapid extinction once reinforcement is removed. In contrast, variable ratio schedules (where reinforcement is provided after an average number of responses, with some variation) tend to lead to more stable responding and slower extinction. Fixed interval and variable interval schedules (where reinforcement is provided after the first response following a fixed or variable amount of time) tend to lead to moderate rates of responding and moderate resistance to extinction.

Overall, the choice of reinforcement schedule can have important implications for both learning and the persistence of behavior over time.

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For what values of r will the area of the shaded region be greater than or equal to half of the area of the larger rectangle
(The larger rectangle has a length of 12 cm and a width of 8 cm)
(the shaded region has a length of r and a width of 6cm)

Answers

The values of r where the area of the shaded region be greater are values at least 8

Calculating the values of r where the area of the shaded region be greater

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

The larger rectangle has a length of 12 cm and a width of 8 cm)The shaded region has a length of r and a width of 6cm

The area of the larger rectangle is

Area = 12 * 8

Area = 96

The area of the shaded region is

Area = r * 6

Area = 6r

When the shaded region is greater than or equal to half of the area of the larger rectangle, we have

6r ≥ 1/2 * 96

This gives

r ≥ 1/12 * 96

Evaluate

r ≥ 8

Hence, the values of r are r ≥ 8

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6. suppose that x is an exponential random variable with mean 1. give another random variable that is negatively correlated with x and that is also exponential with mean 1.

Answers

If we let Z = 3 - X, then Z is another exponential random variable with mean 1 that is negatively correlated with X.

Let Y = 2 - X, where X is an exponential random variable with mean 1.

To show that Y is negatively correlated with X, we need to show that Cov(X,Y) < 0.

Cov(X,Y) = E[XY] - E[X]E[Y]

Since X and Y are both exponentially distributed with mean 1, we have:

E[X] = 1, E[Y] = 2 - E[X] = 1

E[XY] = E[X(2-X)] = 2E[X] - E[X^2] = 2 - Var(X)

Var(X) = E[X^2] - (E[X])^2 = 1 - 1^2 = 0

Therefore, Var(X) = 0, which means that E[XY] = 2, and Cov(X,Y) = E[XY] - E[X]E[Y] = 2 - 1*1 = 1 > 0.

Since Cov(X,Y) > 0, we know that Y is positively correlated with X. To find a random variable that is negatively correlated with X, we can use Y = 3 - X instead.

Therefore, if we let Z = 3 - X, then Z is another exponential random variable with mean 1 that is negatively correlated with X.

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Express the polynomial as a product of linear factors.fr) = 3x^3+12x^2 + 3x – 18A. (x+3)(x+6)(x-1)B. (x-3)(x+3)(x-2)C. (X-34x+3)(x-3)D. 3(x-1)(x+3)(x + 2)SUBMIT

Answers

you need first see something all the numbers in the polynomial can be divided by 3 then we can rewrite the polynomial as

3(x^3+4x^2+x-6)

the polynomial x^3+4x^2+x-6 is easier to solve and find the roots

the roots are

x = -3

x = -2

x = 1

and finally

we can rewrite the polynomial as

3(x+3)(x+2)(x-1)

so we can say that the right answer is D. 3(x-1)(x+3)(x + 2)

what formulas can be used to find a triangular prism

Answers

the formula to find a triangular prism is V = 0.5 X b X a X h

a javalina rancher wants to enclose a rectangular area and then divide it into 5 pens with fencing parallel to one side of the rectangle. there are 580 feet of fencing available to complete the job. what is the largest possible total area of the 5 pens?

Answers

When there is 580 feet of fencing available to complete the job, the largest possible total area of the 5 pens is 7008.33 feet.

What is an area?

The quantity area expresses the extent of a region on a plane or curved surface.

STEP 1: We know that,

A=x y

The perimeter equals 580feet.

The equation is,

580=6x+2y

Step 2: Solving y terns with x,

y=-3x+290

This information will assist us in obtaining our Area equation in terms of a single variable (just in terms of x).

Step 3: Using the x-y relationship discovered in Step 2, write your Area equation in terms of x only. You should obtain

A=x y

A=x(-3x+290)

A=-3x²+290x

Step 4: Derive the area equation,  A' = -6x+290

Step 5: Set A' = 0

-6x+290=0

x=290/6

x=48.33

Step 6: Find y by substituting 48.33 in x in the perimeter equation then,

y=-3(48.33)+290

y=145.01

Step 7:  A=x y

A=(48.33)(145.01)

A=7008.33 feet

The largest possible total area of the 5 pens is 7008.33 feet

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4 cards are drawn from a pack without replacement. What is the probability of getting all 4 from different suits?

Answers

The probability of getting all 4 cards from different suits is 0.267 or approximately 26.7%.

There are 4 suits in a standard deck of cards, and there are 13 cards in each suit. There are C(52,4) ways to choose 4 cards from a deck of 52 cards.

To calculate the probability of getting 4 cards from different suits, we can break it down into steps:

Choose 1 card from any suit (there are 52 possible cards to choose from).

Choose the next card from one of the 39 remaining cards of a different suit (there are 39 cards remaining after taking out the 13 cards from the first suit).

Choose the third card from one of the 26 remaining cards of a different suit (there are 26 cards remaining after taking out the 13 cards from the first and second suits).

Choose the fourth card from one of the 13 remaining cards of a different suit (there are 13 cards remaining after taking out the 13 cards from the first, second, and third suits).

The probability of getting all 4 cards from different suits can be calculated as:

P = (52/52) x (39/51) x (26/50) x (13/49) = 0.267

Therefore, the probability of getting all 4 cards from different suits is 0.267 or approximately 26.7%.

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Section 1 - Question 6 Two brothers saved up $348 to share equally. Yesterday they gave $127 of the $348 to their sister. They used the following inequalities to represent this situation 2m + 127 < 348 2m < 221 m < 110.50 What does the final step in this inequality stand for? A the amount that both brothers have already spent B the amount that each brother has given to his sister С the amount available to each brother to spend D the total amount available to both brothers to spend​

Answers

Answer:

for how much each kid gets

Step-by-step explanation: big brain math kid

Answer:

Step-by-step explanation:

Connie flips a coin and rolls a standard number cube. Find the probability that the coin will show tails and the cube will show a three, four, or six.

Answers

The probability that the coin will show tails and the cube will show a three, four, or six is 1/4.

The probability of two independent events occurring, we multiply their individual probabilities.

Let's start by determining the probability of the coin showing tails.

Since it is a fair coin, there are two equally likely outcomes: heads or tails.

The probability of the coin showing tails is 1/2.

Next, we consider the number cube.

It is a standard six-sided die, and we want to find the probability of rolling a three, four, or six.

Out of the six possible outcomes (numbers 1 to 6), three of them satisfy our condition (3, 4, and 6).

The probability of rolling a three, four, or six is 3/6 or 1/2.

Now, we can find the probability of both events occurring by multiplying the probabilities together:

P(Tails and 3, 4, or 6) = P(Tails) × P(3, 4, or 6)

= 1/2 × 1/2

= 1/4

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What way of warming up is preferred after exercise?
A. Static
B. Dynamic
C. Calestitic
D. Isometric

Answers

Answer:

Static

Step-by-step explanation:

By process of elimination, static is the only one that would work.

Answer:

static.

Step-by-step explanation:

\(\\ \leq \int\limits^a_b {x} \, dx x^{2} \sqrt{x} \sqrt[n]{x} \leq \geq \neq \lim_{n \to \infty} a_n \int\limits^a_b {x} \, dx \left \{ {{y=2} \atop {x=2}} \right.\)

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