In square GEOM, the coordinates of G are (2,-2) and the coordinates of O are (-4,2).
Determine and state the coordinates of vertices E and M.
[The use of the set of axes below is optional.]

Answers

Answer 1

The required coordinates of E are (2 + 2 √(13), -2) and the coordinates of M are (-4, 2 + 2 √(13)).

What is the midpoint?

The midpoint formula states that the coordinates of the midpoint of a line segment with endpoints (x₁, y₁) and (x₂, y₂) are given by the formula (x₁ + x₂)/2, (y₁ + y₂)/2.

Since G and O are the midpoints of the sides of square GEOM, the length of each side of the square is the distance between G and O. The distance between the two points can be calculated using the distance formula:

distance = √((x₁ - x₂)² + (y₁ - y₂)²)

Plugging in the coordinates of G and O, we get:

distance = √((-4 - 2)²+ (2 - (-2))²)

distance = √(6² + 4²)

distance = √(36 + 16)

distance = √(52)

distance = 2 √(13)

Thus, the length of each side of the square is 2 √(13).

To find the coordinates of E, we need to move 2 √(13) units to the right of G. Therefore, the coordinates of E are (2 + 2 √(13), -2).

To find the coordinates of M, we need to move 2 √(13) units above O. Therefore, the coordinates of M are (-4, 2 + 2 √(13)).

So the coordinates of E are (2 + 2 √(13), -2) and the coordinates of M are (-4, 2 + 2 √(13)).

Learn more about the midpoint here :

brainly.com/question/5127660

#SPJ1


Related Questions

Calculate the equivalent ratio 1.25 : 3.75 : 7.5

Answers

The equivalent ratio of 1.25 : 3.75 : 7.5 is 5 : 15 : 30.

To calculate the equivalent ratio of 1.25 : 3.75 : 7.5, we need to find a common multiplier that can be applied to all the numbers in the ratio to make them whole numbers. In this case, the common multiplier is 4 because it can be multiplied to each number to eliminate the decimals.

By multiplying each number in the ratio by 4, we get:

1.25 * 4 = 5

3.75 * 4 = 15

7.5 * 4 = 30

So the equivalent ratio of 1.25 : 3.75 : 7.5 is 5 : 15 : 30.

This means that the relative sizes or quantities represented by the original ratio are maintained in the equivalent ratio. For example, if we had 1.25 units of something, it would be equivalent to 5 units in the new ratio, and if we had 7.5 units, it would be equivalent to 30 units in the new ratio.


To more on ratio:
https://brainly.com/question/12024093
#SPJ8

3. Study Hours (Based on Exercise 8.7) Babcock and Marks (2010) reviewed survey data from 2003–2005 and obtained an average of µ = 14 hours per week spent studying by full-time students at 4-year colleges in the United States. To determine whether this average changed over the 10 subsequent years, a researcher selected a sample of = 64 of college students. The data file hours.csv has data consistent with what the researcher found. In this question, you will use the data to if this sample indicates a significant change in the number of hours spent studying.
a. Which of the following are the hypotheses to test if this sample indicates a significant change in the average number of hours spent studying?
i. 0: µ = 14 and 1: µ < 14
ii. 0: µ = 14 and 1: µ ≠ 14
iii. 0: µ = 14 and 1: µ > 14

Answers

The hypotheses to test if this sample indicates a significant change in the average number of hours spent studying is:

0: µ = 14 (null hypothesis)

1: µ ≠ 14 (alternative hypothesis)

Option B is the correct answer.

We have,

The null hypothesis states that the population mean for the number of hours spent studying by full-time students at 4-year colleges in the United States is equal to 14 hours per week,

while the alternative hypothesis states that it is different from 14 hours per week.

By using a two-tailed test, we are checking for any significant change in either direction, whether the average number of hours spent studying has increased or decreased from 14 hours per week.

Thus,

The hypotheses to test if this sample indicates a significant change in the average number of hours spent studying is:

0: µ = 14 (null hypothesis)

1: µ ≠ 14 (alternative hypothesis)

Learn more about hypothesis testing here:

https://brainly.com/question/30588452

#SPJ1

Select ALL of the expressions that are equivalent to 4√5.

A. 2√20
B. 6^1/2-5^1/2
c. 3*5^1/2+5^1/2
D.4*5^1/2
E.2√10
F.3*5^1/2

Answers

Answer:

A, C, D


All 3 of those simplfiy to 4√5

4) Ellen deposited $2,500 into a savings account
that earns 5% interest per year. Her friend's
bank offers a 6 1/2% annual interest rate. How
much more money would Ellen's money have
earned in one year if she had deposited her
money at her friend's bank?
A) $12.50
B) $32.50
C) $16.25
D) $37.50

Answers

Answer:

c

Step-by-step explanation:

A survey asks a random sample of 1500 adults in Ohio if they support an increase in the state sales tax from 5% to 6%, with the additional revenue going to education. Let ^ p denote the proportion in the sample who say they support the increase. Suppose that 34% of all adults in Ohio support the increase. The standard deviation of the sampling distribution is

Answers

Answer:

The standard deviation of the sampling distribution is 0.0122 = 1.22%

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \(\mu = p\) and standard deviation \(s = \sqrt{\frac{p(1-p)}{n}}\)

A survey asks a random sample of 1500 adults in Ohio

This means that \(n = 1500\)

34% of all adults in Ohio support the increase.

This means that \(p = 0.34\)

The standard deviation of the sampling distribution is

\(s = \sqrt{\frac{0.34*0.66}{1500}} = 0.0122\)

The standard deviation of the sampling distribution is 0.0122 = 1.22%

A pizzeria makes 7 pepperoni pizzas for every 3 cheese pizzas. Yesterday they made 42 pepperoni pizzas. How many cheese pizzas were made?

Answers

Answer:

18 cheese pizza's

Step-by-step explanation:

3-7

6*7=42 pepperoni pizza's

3*6=18 cheese pizzas

Ellie the elephant has some peanuts. She eats up 49 peanuts. Now Ellie the elephant has 31 peanuts. How many peanuts did she have before?

Answers

Answer:

80

Step-by-step explanation:

do: 49+31=Your answer

Ellie had 80 peanuts before she ate 49 of them.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Let x be the number of peanuts Ellie had before she ate 49 of them.

After eating 49 peanuts, Ellie has 31 peanuts left, so we can write an equation:

x - 49 = 31

To solve for x, we add 49 to both sides of the equation:

x - 49 + 49 = 31 + 49

Simplifying, we get:

x = 80

Therefore, Ellie had 80 peanuts before she ate 49 of them.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2

A box contains 50 blue, red and green balls, if 20%are blue and 50% are green, what are the number of red balls?​

Answers

Answer:

15 - red

Step-by-step explanation:

20/100 × 50 = 10 blue

50/100 × 50 = 25 green

25 + 10 = 35

50 - 35 = 15

Please mark as brainliest;)

floor of a classroom is 38 feet in length and 34 feet in width. A scale drawing of the floor has a length of 19 inches.

Answers

Answer:

38 i think i hope this helps

What is the best description of originality?

nonobvious

special or interesting

convergent

having a low probability, unique

Answers

Originality is the quality of being unique, new, and innovative. It requires creativity, imagination, inspiration, and nonobviousness. Special or interesting aspects may be present, but they are not sufficient to define originality.

Originality refers to the quality of being unique, new, and innovative. It involves creating something that has not been seen or experienced before. The best description of originality is that it is having a low probability and being unique.

An original idea, product, or work of art is something that has not been copied or imitated from others. It represents a new perspective or approach that can offer a fresh insight into a problem or challenge. Originality requires a high level of creativity, imagination, and inspiration, as well as a willingness to take risks and explore new possibilities.

Nonobviousness is also an important factor in originality. It means that the idea or invention is not something that would be obvious to someone skilled in the same field or industry. In other words, an original idea should not be something that could be easily predicted or anticipated.

Special or interesting are also characteristics of originality, but they are not sufficient to define it. An idea or product can be special or interesting without being truly original. For example, a new flavor of ice cream may be interesting, but it may not be original if it has already been created by someone else.

Convergent thinking, on the other hand, involves finding a single solution to a problem. It is the opposite of divergent thinking, which involves generating multiple ideas and possibilities. Convergent thinking is important for finding effective solutions to problems, but it is not the same as originality.

In conclusion, originality is the quality of being unique, new, and innovative. It requires creativity, imagination, inspiration, and nonobviousness. Special or interesting aspects may be present, but they are not sufficient to define originality.

To know more about Originality.

https://brainly.com/question/31916017

#SPJ11

OMG PLS HELP ME!!!! 30 pts!!!!! I NEED DIS ASAP

A large downtown hotel consists of twenty-four levels. Any level above ground is referred to as a" floor". There are twenty-two floors and each floor corresponds to its number on the number line (2 is second floor, 3 is third floor, etc...) and two underground levels reserved for underground parking. The first level below ground level is Parking A, and the second level below ground level is labeled Parking B.

If you start at Parking B and take the elevator to the fourteenth floor, how many levels have you gone up? [Type your answer as a number.]

Answers

Answer:

16

Step-by-step explanation:

there is 2 underground and 14 above so 2 + 14 = 16

I need help in this problem

I need help in this problem

Answers

Step-by-step explanation:

this is first an arithmetic sequence with the first term A1=3(1)+1=4 And the 12th term A12=3(12)+1=37. Then use this formula

S12=12/2 ×(4+37)

=6×41

=246

If you buy a meal from a restaurant that costs $15.00, and the tax is 7%, how much do you pay in taxes? explain pls

Answers

Answer: He pays $1.05 in tax

Step-by-step explanation: You multiply 7% by 15.00 (15.00 x 7%) and then you get your tax. If it asks how much the cost is plus tax, you just add the number you got by multiplying 15 by 7 and to the original price, $15.00.

I need help with this question

I need help with this question

Answers

Look at image for explanation and answer


Can I get Brainly
I need help with this question

please help: perimeter of polygon ABCDEF

please help: perimeter of polygon ABCDEF

Answers

Answer:

Step-by-step explanation:

please help: perimeter of polygon ABCDEF

what's the answer! Consider having a personal loan that spans 5 years. The loan was only taken out for $6000, but the interest rate was a higher fixed percentage of 5.99%. How much interest will you have paid after it is paid off?

Answers

Answer: $179.70

Step-by-step explanation:

The simple interest will be:

= (Principal × Rate × Time) / 100

= ($6000 × 5.99% × 5) / 10

= ($6000 × 0.0599 × 5) / 10

= $1797 / 10

= $179.70

Therefore, the total interest on the loan is $179.70

which function is best represented by this graph

which function is best represented by this graph

Answers

Answer:

Step-by-step explanation:

e

Identify the graph of the inequality 2(2x-1)+7< 13 or -2x+5-10.​

Identify the graph of the inequality 2(2x-1)+7&lt; 13 or -2x+5-10.

Answers

From the resulting solution, the correct linear inequality graph is Graph C.

Solving inequality expression

Given the inequality equation below:

2(2x-1)+7< 13 or -2x+5 ≤ -10.​

Simplify the expression

2(2x-1)+7< 13

Expand

4x - 2 + 7 < 13

4x + 5 < 13

4x < 13 - 5

4x < 8

x < 2

For the inequality -2x+5 ≤ -10.

-2x+5 ≤ -10

-2x  ≤ -15

x  ≥ 7.5

Hence the solution to the given system of inequalities are x < 2 and x  ≥ 7.5

Learn more on inequality graph here: https://brainly.com/question/24372553

#SPJ1

[3r-15] if r is less than 5

Answers

When r is less than 5 and we substitute r = 4 into the expression [3r-15], the result is -3.

The expression [3r-15] represents an algebraic expression that depends on the value of r. The condition given is that r is less than 5. To evaluate this expression, we substitute the value of r into the expression and simplify it.

Given that r is less than 5, let's substitute r = 4 into the expression:

[3(4) - 15]

= [12 - 15]

= -3

Therefore, when r is less than 5 and we substitute r = 4 into the expression [3r-15], the result is -3.

It's important to note that this answer is specific to the given condition that r is less than 5. If the condition changes or if r is greater than or equal to 5, the result of the expression may be different.

for such more question on expression

https://brainly.com/question/4344214

#SPJ8

What is the ratio of x to y?
5x = 6y

Answers

Answer:

6:5

Step-by-step explanation:

Divide both sides by y . ⇒5xy=6y y. ⇒5xy=6. Divide both sides by 5 . ⇒5 x5 y=65. ⇒xy=65. ⇒x:y=6:5.

The ratio between x and y, when 5x = 6y, is 6:5.

Given is an equation 5x = 6y, we need to find the ratio between x and y,

To determine the ratio of x to y in the equation 5x = 6y, we need to isolate one of the variables and express it in terms of the other.

Let's isolate x:

5x = 6y

Divide both sides of the equation by 5:

x = (6y) / 5

Now we have an expression for x in terms of y. The ratio of x to y can be represented as:

x/y = (6y) / (5y)

The y terms cancel out:

x/y = 6/5

Therefore, the ratio of x to y is 6:5.

Learn more about ratio click;

https://brainly.com/question/32531170

#SPJ4

6lbs of apples for 33.60

Answers

Answer:

If that's the whole question then what exactly are we trying to solve here?

Step-by-step explanation:

help w 16 please. i will mark u brainliest

help w 16 please. i will mark u brainliest

Answers

Answer:

The answer is C.

Hope I helped!

Is the relation shown in the table below a function? (type in yes or no)

Is the relation shown in the table below a function? (type in yes or no)

Answers

Answer:

Yes

Step-by-step explanation:

To know if a table is a function or not, we have to see if 1 input only has 1 output.

Looking at the table each input only has 1 output, so it is a function.

I need help with this one

I need help with this one

Answers

Answer:

-12

Step-by-step explanation:

I need help with this one

Glenn’s favorite number is very special because it reminds him of the day his daughter, Sarah, was born. The factors of this number do not repeat, and all of the prime numbers are less than . What is Glenn’s number? When was Sarah born? BRAINLIEST AND POINTS

Answers

Answer:

2/3/10

Step-by-step explanation:

the number is such that its factors do not repeat and factors are all prime numbers less than 12.

CAN SOMEONE HELP WITH THIS QUESTION✨

CAN SOMEONE HELP WITH THIS QUESTION

Answers

Answer:

m = √3 ≈ 1.7321b = 1 -π√3/6 ≈ 0.0931

Step-by-step explanation:

You want the slope-intercept form equation for the tangent line at point (π/6, 1) on the curve y = 2·sin(x).

Slope

The slope of the line at the point of tangency is the derivative of the curve at that point:

  y' = 2cos(x) = 2·cos(π/6) = 2(√3/2)

  m = √3 . . . . . approximately 1.7321

Y-intercept

Solving the line's equation for b, we have ...

  y = mx +b

  b = y -mx = 1 -(√3)(π/6)

  b = 1 -π√3/6 . . . . . approximately 0.0931

Equation

The equation of the line is ...

  y = mx +b

  y = (√3)x +1 -(π√3)/6

CAN SOMEONE HELP WITH THIS QUESTION

A scientist has acid solutions with concentrations of 4% and 15%. He wants to mix some of each solution to get 44 milliliters of solution with a 12% concentration. How many milliliters of each solution does he need to mix together?​

Answers

Let x and y be the amounts (in mL) of the 4% and 15% solutions, respectively, that the scientist needs to use.

He wants to end up with a 44 mL solution, so

x + y = 44 mL

Each milliliter of 4% solution contains 0.04 mL of acid, while each mL of 15% contains 0.15 mL of acid. The resulting solution should have a concentration of 12%, so that each mL of it contains 0.12 mL of acid. Then the solution will contain

0.04x + 0.15y = 0.12 × (44 mL) = 5.28 mL

of acid.

Solve for x and y. In the first equation, we have y = 44 mL - x, and substituting into the second equation gives

0.04x + 0.15 (44 mL - x) = 5.28 mL

0.04x + 6.6 mL - 0.15x = 5.28 mL

1.32 mL = 0.19x

x ≈ 6.95 mL

==>   y ≈ 37.05 mL

How much water should be added to 14mL of 9% alcohol solution to reduce the concentration to 7%? We should add mL.

Answers

The water that should be added to 14mL of 9% alcohol solution to reduce the concentration to 7% is 4ml.

How much more water must be added to reduce a concentration?

Here; In this problem we have a concentration problem, represented by the volume of the solvent divided by the volume of the entire solution. The initial and final concentrations of the solutions are presented in the following formulas;

Given;

14mL of 9% alcohol solution.

Initial concentration;

9/ 100 = x / 14

x = 63/50

Final concentration;

7 / 100 = x / (14 + y)

(14 + y)=x*100/7

y=18-14

y=4

Therefore, water must be added to reduce the concentration will be 4ml.

To learn more on concentrations;

brainly.com/question/10725862

#SPJ1

In the 2012 Olympics a U.S. athlete Nathan Adrian finished the 100-meter freestyle swim in 47.52 seconds. If nathan swam the same pace in a regular 25-meter pool what would his time have been per lap?

Answers

At the same rate as his 100-meter freestyle swim in the 2012 Olympics, Nathan Adrian could have completed one loop of a 25-meter pool in 11.88 seconds.

To solve this problem

The idea of proportionality can be applied. The time it would take Nathan Adrian to complete one lap in a 25-meter pool is known to be 47.52 seconds for the 100-meter freestyle. Since the tempo is constant while the distance varies, we can establish a ratio:

100 meters / 47.52 seconds = 25 meters / x seconds

where x is the unknown time for one lap in the 25-meter pool.

To solve for x, we can cross-multiply:

100 meters * x seconds = 47.52 seconds * 25 meters

100x = 1188

Dividing both sides by 100, we get:

x = 11.88 seconds

Therefore, at the same rate as his 100-meter freestyle swim in the 2012 Olympics, Nathan Adrian could have completed one loop of a 25-meter pool in 11.88 seconds.

Learn more about idea of proportionality here : brainly.com/question/870035

#SPJ1

Evaluate
Check all that apply.
2
5
O The exponent is
O The expanded form is
The expanded form is 2x2x2
5
6
15
8
125

Answers

Answer:

a b and e

Step-by-step explanation:

hope this helps

Answer:

it b and e

Step-by-step explanation:

rrrrrrrrrrrrrrr

Other Questions
When copper is added to body-centered cubic iron, the lattice parameter change is minimal; i.e.. the atomic size of Cu is almost the same as that of Fe. The shear modulus of bcc iron increases by about 2.5% when 10 at.% Cu is dissolved in it.(For Fe, G = 8.1 times 1010 N/m2.) Use the Fleischer model to predict the solid-solution strengthening of bcc Fe by Cu. Plot your results as a graph of delta tau y vs. at.% Cu in solid solution; the concentration scale should cover the range of Cu solubility in bcc Fe at room temperature as well as compositions corresponding to supersaturated alloys. Do you believe Cu could be used to effectively solid solution strengthen iron and steel? a machine fills 80 containers of cookies in 20 minutes.At the same rate,how many containers of cookies could the machine fill in 8 hours Which inequality represents all the values of x for y it is a good idea to put input values and output values into separate sheets when solving a complex problem if it improves readability and usability. t or f PLEASE HELP!Determine which of the following lists is in order from smallest to largest.1. -3,131,0, (-3)^22. (-3)^2,-3,0, |3|3. -3,0,|3|, (-3)^24. 0,-3,|3|, (-3)^2 What global issues can you think of that might be caused by only using the Mercator Project This state flag of Washington measures 24 in x 36 in, and the circlular seal in the middle has a radius of 6 in. Find the area of the green part of the flag. 0.25(x+10) = 2+0.5(x-1) Un vent froid (souffler) de la plaine, le bois (tre) noir. La peur lui(revenir). Elle (se lever) et (saisir) l'anse deux mains. Elle (faire) ainsi unedouzaine de pas, mais le seau (tre) lourd, elle (devoir) le reposer terre.Elle (se reposer) un instant, puis elle (prendre) l'anse de nouveau et (se re-mettre) marcher. Mais il (falloir) s'arrter encore. Aprs quelques secondesde repos elle (repartir). Elle (marcher) penche en avant, comme une vieille.De temps en temps, elle (devoir) s'arrter et, chaque fois qu'elle (s'arrter),l'eau froide qui (dborder) du seau, (tomber) sur ses jambes nues. Des sanglotslui (serrer) la gorge, mais elle ne (oser) pas pleurer, tant elle (avoir) peur dela Thnardier, mme loin you're trying to save to buy a new $202,000 ferrari. you have $52,000 today that can be invested at your bank. the bank pays 6 percent annual interest on its accounts. how long will it be before you have enough to buy the car? (do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) An employer's defense to an employment discrimination claim might include a simple demonstration that the employee's evidence is not true. This defense might include all of the following except which general sourcing category comprises commodity items where many alternatives of supply exist, and supply risk is low. spend is high and there are potential procurement savings? which general sourcing category comprises commodity items where many alternatives of supply exist, and supply risk is low. spend is high and there are potential procurement savings? bottleneck leverage strategic non-critical What are some question you ask yourself when factoring a polynomial? Suppose you deposit $1,034.00 into an account 6.00 years from today. exactly 17.00 years from today the account is worth $1,747.00. what was the account's interest rate? Witch box plot best displays a summary of these data ? Help asap HELP ASSAP PLEASE: Humans, plants and mushrooms are all alive. What do these organisms have in common? A population of rabbits, p(t), doubles every 4 months. It's population is modelled by the function p(t) 12(2) m/4. Determine approximately how many years it would take the population to reach 576. (A) 1 (B) 2 (c)4 (d) 22 In the urban areas of middle and south america, most women tend to be employed as? Given: ZF and ZG are right angles.Prove: ZF GStatementsReasons1) Given1) ZF and ZG areright angles2)2) mzF= 90 andmzG= 903) mZF=mZG3)4) ZF ZG4) which cyber protection condition establishes?