E(5,3) and F (2,-1) are two vertices of a square EFGH and H is in the x-axis .Find the coordinates of H and G. Please need answer quick with accurate explanation.​

Answers

Answer 1

Answer:

coordinates of H = (1, 0)

Coordinates of G = ( - 3.6, -2) or (5.6, -2)

Step-by-step explanation:

E(5,3) and F (2,-1) are two vertices of a square EFGH and H is in the x-axis.

Let the coordinates of H is (x, 0) and G is (a, b).

The length of side EF is

[tex]EF = \sqrt{(5 -2)^2 + (3 +1)^2} = 5[/tex]

So,

[tex]EH = \sqrt{(5 -x)^2 + (3 -0)^2} = 5\\\\(5 -x)^2+ 9 = 25\\\\5 - x = 4\\\\x = 1[/tex]

And

[tex]GH = \sqrt{(a -x)^2+ b^2} = 5\\\\(a -1)^2+ b^2 = 25\\\\a^2 + b^2 + 1 - 2 a = 25\\\\a^2 + b^2 - 2a = 24 .... (1)[/tex]

Now

[tex]FG = \sqrt{(a -2)^2+ (b +1)^2} = 5\\\\(a -2)^2+ (b+1)^2 = 25\\\\a^2 + b^2 + 2b - 2 a = 20\\ ..... (2)[/tex]

Solving (1) and (2)

b = - 2 ,

[tex]a = \frac{2 \pm\sqrt{4 + 80}}{2}\\\\a = \frac{2 \pm 9.2}{2}\\\\a = - 3.6, 5.6[/tex]


Related Questions

This is a graph of the function g(x) =-3x+2. Determine the domain value when th
range value is -4.

Answers

Range = -4= g(x)

Therefore, g(x) = -3x+2

or, -4=3x +2

or, 3x= -4-2

or, 3x= -6

or, x= -6/3 = -2

OPTION A is the correct answer.

When the range value is -4 for the function g(x) = -3x + 2, the corresponding domain value is x = 2.

To find the domain value when the range value is -4 for the function

g(x) = -3x + 2, we need to solve for x when g(x) = -4.

Given: g(x) = -3x + 2

When the range value is -4, we have:

-3x + 2 = -4

Now, isolate x:

-3x = -4 - 2

-3x = -6

Now, divide by -3 to solve for x:

x = -6 / -3

x = 2

So, when the range value is -4 for the function g(x) = -3x + 2, the corresponding domain value is x = 2.

To know more about range:

https://brainly.com/question/29204101

#SPJ2

The population of a town is 24,000 and is
increasing at a rate of 6% per year for 3 years

Answers

You answer would be 432000 as your answer

Brainly to fastest and correct answer,

Answers

Answer:

0.02625

2.1 tenths

2.1

Step-by-step explanation:

Solve for y in terms of x. 2/3 y - 4 = x

Answers

Answer:

y = 3/2x + 6

Step-by-step explanation:

2/3 y - 4 = x

2/3y = x + 4

y = 3/2 * (x + 4)

y = 3/2x + 6

Answer:y=(3x/2)+6

Step-by-step explanation:

(2/3)y-4=x

2y-12=3x

2y=3x+12

y=(3x/2)+6

Find the product of 3 1/5 and 7 1/4. Express your answer in simplest form.

Answers

If I'm not mistaken, it should be 28/5 or 5 3/5 as the product is timesing the products together
if you convert to an improper fraction, you will get 16/5 and 29/4. Since you are finding the product, which is multiplication, you would just multiply the numerator by the numerator (16x29) and the denominator by denominator (5x4) you will get 116/5 (simplified) . if you convert back, you will get 23 1/5

What type of function is represented by the following graph:
(a) Linear
(b) Quadratic
(c) Absolute Value
(d) Exponential

Answers

Answer:

b) quadratic

Step-by-step explanation:

Answer:

b. quadratic

Step-by-step explanation:

it makes the shape of a parabola

hope this helps

Answer the question based on the data in the two-way table.

Gender Grades
Below
Average Above
Average Total
Boy 14 23 37
Girl 16 22 38
Total 30 45 75

Which statement is true?
A.
P(boy|above average grades) = P(boy)
B.
P(above average grades|boy) = P(above average grades)
C.
P(boy|above average grades) P(above average grades)
D.
P(above average grades|boy) = P(boy)

Answers

The answer is probably c

the function y=-2(x-3)^2+4 shows the daily profit (in hundreds of dollars) of a hot dog stand, where x is the price of a hot dog (in dollars). Find and interpret the 0's of this function.

Answers

X intercept would mean plug in 0 for Y.
Then finding the y intercept would mean X is 0. Your answer will be 69420

Which of the following statements is false?(N=natural numbers)

Answers

Answer:

yes N = natural number it's correct what I need to ask

Which sentence can represent the inequality 2.4 (6.2 minus x) greater-than negative 4.5?
Two and four tenths times six and two tenths minus a number is larger than negative four and five tenths.
Two and four tenths multiplied by the difference of six and two tenths and a number is more than negative four and five tenths.
The difference of six and two tenths and a number multiplied by two and four tenths is not less than negative four and five tenths.
The product of six and two tenths minus a number and two and four tenths is at minimum negative four and five tenths.

Answers

Answer: Choice B

Two and four tenths multiplied by the difference of six and two tenths and a number is more than negative four and five tenths.

======================================================

Explanation:

2.4 = 2 + 0.4

2.4 = 2 and 4/10

2.4 = 2 and 4 tenths

2.4 = two and four tenths

-------------------

Through similar reasoning,

6.2 = six and two tenths

And also,

-4.5 = negative four and five tenths

---------------------

Notice how 6.2 - x translates into "difference of six and two tenths and a number"

We then multiply that by 2.4, aka two and four tenths.

So that's how we get the phrasing "Two and four tenths multiplied by the difference of six and two tenths and a number"

All of this is greater than -4.5 aka negative four and five tenths.

This points us to Choice B as the final answer.

Answer:

Answer: Choice B

Step-by-step explanation:

Edgunity

How many pounds of water must be evaporated from 50 pounds of a 3% salt solution so that the the remaining solution will be 5 % salt

Answers

Answer:

Step-by-step explanation:

This is kinda tricky, but not nearly as bad as d = rt problems. Those are a nightmare!

We will make a table for this:

                         #lbs solution           *          % salt         =           lbs. salt

  3% solution

-  Water                                                                                                      

New solution

And we will now fill in what we know. The 3% solution part is easy. The number of pounds of that is 50 and the percent salt in 3% salt is....well, 3%. As a decimal, it is .03:

                             #lbs solution        *        %salt        =        lbs salt

  3% solution                50                 *          .03         =           1.5

-  Water                                                                                                

New solution

The last column there with a 1.5 in it is the product of 50 times .03, since that is what the formula at the top of the table tells us we have to use. Now for the water. That's easy, too, since the amount of water we are evaporating (notice the subtraction sign out front of the word "water"; that indicates we are removing water) is our unknown, and we also know that water has 0% salt in it:

                          #lbs solution         *       %salt        =        lbs. salt

   3% solution            50                  *         .03         =           1.5

-   Water                       x                  *            0          =            0        

New solution

Now all we have left is the new solution row and the equation. Finding the equation from a mixture table is as easy as it can be! Super easy!

The new solution will be 50 - x since, going down column 1, we are subtracting the water from the 3% solution, the % salt is to be 5%:

                            #lbs. solution        *       %salt        =        lbs. salt

   3% solution               50                *         .03          =           1.5

-   Water                          x                 *           0           =            0        

New solution         50 - x                  *         .05          =     2.5 - .05x

Now we're ready for our equation. I got the 2.5 - .05x from multiplying

.05(50 - x), just so you know.

if we had to subtract the water from the salt solution and set it equal to the new solution in the first column, we also have to do it in the third column:

1.5 - 0 = 2.5 - .05x and solve for x:

-1 = -.05x so

x = 20 pounds of water

what is 8/9 divided 2/3

Answers

Answer:

4/3

Step-by-step explanation:

8/9 ÷ 2/3

Copy dot flip

8/9 * 3/2

Rewriting

8/2 * 3/9

4 * 1/3

4/3

Find the solutions to the equation below.
Check all that apply.
2x^2 + 1-1x + 5 = 0

Answers

is -2 and option cause tbh that’s what i keep getting

Answer:

Step-by-step explanation:

The trick here is that the equation factors.

y= 2x^2 + 11x + 5

y = (2x + 1)(x + 5)

So either

2x + 1 = 0         subtract 1 from both sides      

2x = - 1             divide by 2  

2x = -1/2

or

x + 5 = 0          Subtract 5 from both sides

x = - 5

Answer: B and D

Can someone help me solve this please!
I am willing to give brainliest too the person who helps the most

Answers

Part A

The function y = -16x^2 + c represents the height of the ball at time x

We're told the building is 64 ft tall (roughly 6 stories), so c = 64

That means the function updates to y = -16x^2 + 64

The graph is shown below. Some points of interest on the graph are

(0, 64) ... y intercept(0.5, 60) (1, 48)(1.5, 28)(2, 0) ... x intercept

Plot these points, and others if you wish, and draw a parabolic curve through them to complete the graph. To generate any (x,y) point, you simply plug in a given value for x to find its corresponding y value.

For example, if you plugged in say x = 1, then,

y = -16x^2 + 64

y = -16*1^2 + 64

y = -16 + 64

y = 48

Do the same for other x values to get the points mentioned earlier. The more points you plot, the more accurate the curve.

=========================================================

Part B

From the graph made in part A, we see that the parabola crosses the x axis at (2,0). This is the x intercept marked as point E in the diagram. This is when the ball hits the ground because y = 0, aka the height is 0.

The ball hits the ground at 2 seconds  (ie the ball is in the air for 2 seconds).

There's not much in terms of steps or explanation here because much of that was already done.

find the area of the shaded region,(π=3.14).

plx help me​

Answers

Answer:

115.395 cm2

Step-by-step explanation:

The radius of the whole figure: 14 : 2 = 7 (cm)

The area of the whole figure: 7 x 7 x 3.14 = 153.86 (cm2)

The area of the unshaded region:  3.5 x 3.5 x 3.14 = 38.465 (cm2)

The area of the shaded region: 153.86 - 38.465 =  115.395 (cm2)

Answer: 115.395 cm2.

Hope it helps!

Select the true statement about triangle ABC.

A. cos A = cos C
B. cos A = sin C
C. cos A = sin B
D. cos A = tan C

Answers

Answer:

B

Step-by-step explanation:

We know that cosθ= adjacent/hypotenuse,  sinθ=opposite/hypotenuse, and tanθ=opposite/adjacent.

Using this, we can first try between cos and sin for A-C. We know that two different angles will not have the same side adjacent to both of them. However, one angle might have an adjacent side that is opposite to another angle. Using this knowledge, we can say that A is incorrect, as two different angles in the same triangle cannot have the same cos value (unless the triangle is isosceles).

For B, we can say that cos A = adjacent/hypotenuse = 12/13, and sin C= opposite/hypotenuse = 12/13. These are equal, but we can double check by making sure the other answers are wrong.

For C, we can tell that B is a right angle, signified by the small square representing the angle. sin(90°) = 1, and cosA = 12/13. These are not equal.

Finally, for D, sin A = opposite/hypotenuse = 5/13, while tan C = opposite/adjacent = 12/5. These are not equal

Quadruple of a number is decreased by twenty gives four.

answer it pls pls​

Answers

Answer:

[tex]4x - 20 = 4[/tex]

Step-by-step explanation:

Let the missing number be x

Quadruple means 4 times

So According to the question,

4x - 20 = 4 is your answer

Hope this helps

help please summer school sucks!!!

Answers

Answer:

X =30

Step-by-step explanation:

= 60+90

=150

angle sum property

x+150=180

x=180- 150

x= 30

Answer:

Step-by-step explanation:

90 + 60 = 150

(right angles = 90)

There is 180 degrees in a triangle, therefore,

180 - 150 = 30

Therefore, x = 30

p.s. Are you good at history?

p.p.s I dont like summer school either =)

Find the value of 3 √ 512

Answers

Answer:

48√2

Step-by-step explanation:

3√(512)

= 3√(256×2)

= 3√(256)×√(2)

→ we know that 16² = 256 then √(256) = 16

Then

3√(512)

= 3 × 16 ×√(2)

= 48√(2)

Solve the equation 3(2x+9)=30

Answers

Answer:

x=1/2

Step-by-step explanation:

3(2x+9) = 30

Multiply out the 3

6x + 27 = 30

Subtract 27 on both sides

6x = 3

Divide by 6 on both sides

x = 1/2

Answer:

x=1/2

Step-by-step explanation

What is the length of the hypotenuse

Answers

Answer: 25 in.

Step-by-step explanation:

Which digit is in the thousandths place?
98.327

A. 7
B. 2
C. 3
D. 9

Answers

Answer:

A.

Step-by-step explanation:

it is A.

Answer: A. 7

Step-by-step explanation:

Given the number 98.327, then we are going to title each digit with a name

9 = tens

8 = ones

3 = tenths

2 = hundredths

7 = thousandths

Therefore, 7 is in the thousandths place

Hope this helps!! :)

Please let me know if you have any questions

Please help ASAP!!!
What is m

Answers

Answer:

∡A  =115°

as for your question ... m is asking for the  "m" (measure) of angle A

Step-by-step explanation:

Answer:

∠ A = 118°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 3 angles and equate to 180

3x + 13 + x - 8 + x = 180, that is

5x + 5 = 180 ( subtract 5 from both sides )

5x = 175 ( divide both sides by 5 )

x = 35

Then

∠ A = 3x + 13 = 3(35) + 13 = 105 + 13 = 118°

Prove that the circumcenter of a triangle is equidistant from its vertices.

Answers

Answer:

Step-by-step explanation:

The circumcenter is equidistant from the three vertices of the triangle. From the figure shown, we will prove DA = DB = DC. 2) DA = DB, DC = DB(If a point is on the perp. bisector of a segment, it is equidistant from each endpoint of the segment.)

Are shape I and shape II similar? If so, give the dilation that proves they are similar. If not, explain why the shapes are not similar.

Answers

Answer:

The answer is "They are similar".

Step-by-step explanation:

They were comparable in this respect because both aspect ratios of the top triangle are one square more. The top triangle is equal to the base triangles if you remove one square away from the height and width.

Otherwise, we can say that it forms all different. The dilation factor which translates that bottom left point of shape I to form II is 2. But this does not map the other shape I vertices onto form II. There's, therefore, no dilation in form I of maps on form II.

Find question attached.​

Answers

a.x=50°

b.x=22°

Answer:

Solution given:

a:

3x=2*75°[inscribed angle is half of central angle]

3x=150°

x=150°/3=50°

x=50°

b.

<BDC=34°+x[exterior angle is equal to the sum of two opposite interior angle of triangle]

again

<DCB=34°+x[base angle of isosceles triangle]

again

<ABC=90°[inscribed angle on a semi circle is 90°]

Now.

In triangle

ABC

<A+ <B+<C=180°[sum of interior angle of a triangle is 180°]

34°+90°+34°+x=180°

x=180°-90°-68°

x=90°-68°

x=22°

a) Solution

By using the inscribed angle is half of central angle,

→ 3x = 2 × 75

→ 3x = 150

→ x = 150/3

→ x = 50°

Thus, 50° is the value of x.

b) Solution

By using the exterior angle is equal to sum of two opposite interior angle of triangle,

→ <BDC = 34+x

→ <DCB = 34+x

(base angle of isosceles triangle)

→ <ABC = 90°

(inscribed angle on a semi circle is 90°)

Then in ∆ ABC,

By sum of interior angle of a triangle is 180°,

→ <A+<B+<C = 180°

→ 34+90+34+x=180°

→ x = 180°-90°-68°

→ x = 90°-68°

→ x = 22°

Thus, 22° is the value of x.


A tanker company has
transported 3.788 x 107 tons
of pineapples during its first
ten years of operation and
expects that total amount to
increase by 25% during the
next ten years.
Which measure
represents the total number of
tons of pineapples that the
company expects to transport
during the next ten years?
A 28.788 X 107 tons
B 9.47 x 106 tons
C 4.735 X 107 tons
D 4.038 X 107 tons

Answers

Answer:

c

Step-by-step explanation:

107 x 3.778 x 125/100 = 4.735 x 1-7

Find IG in the image below .

Answers

Step-by-step explanation:

[tex]ig =2 \times yx = 2 \times 11 = 22[/tex]

Plzzzz help its urgent i will mark u as brainiest i cant find it help
here

Answers

Answer:

28.24

Step-by-step explanation:

25 + 32/10 + 4/100

25 + 3.2+ .04

28.24

[tex] \sf25 + \frac{32}{10} + \frac{4}{100} \\ \sf = 25 + 3.2 + 0.04 \\ \sf \: = 28.24[/tex]

Answer:

C. 28.24

Hope you could get an idea from here.

Doubt clarification - use comment section.

A model of the Pythagorean Theorem is shown below.




If a = 6 and c = 10 , which of the following could NOT be used to find the value of b?









A. 102 = 62 + b2

B. 102 + 62 = b2,

C. 100 = 36 + b2,

D. 100−36=b2

Answers

Answer:

D can others can't..............

Answer B

Explanation

All the other options simplify to

100-36=b^2

B is the odd one out
Other Questions
Qu fiesta de la Virgen se celebra el 16 de julio? When determining whether or not a certain career can meet your wants and needs, you should first __________. A. prepare a backup plan B. work at least three months in that field C. obtain the degree required for that career D. gather information about the potential career 14 less than 8 times a number is 3 more than 4 times the number. What is the number? what is hepatitis and how to cure it? in 10 words or fewer, what other numbers do you think are in the domain of this function? Based on how it is used in this passage, what is the meaning of the phrase in italics?Hattie watched her mom scour the kitchen countertops before racing to her bedroom and then to the bathroom. Jasmine asked in a curious voice, "Mom, what is going on?" "I'm running late and I can't find my sunglasses anywhere!" replied Jasmine's mom in total frustration. "The sunglasses that are on top of your head?" asked Jasmine. "Oh, my! Those are the ones! Thanks, sweetheart! answered Jasmine's mom. Jasmine shook her head and said to herself, "She has lost her marbles!"A.she is losing her mindB.she found her sunglassesC.she is running lateD.she also misplaced marbles 9. What is a categorical grant?A categorical grant is money given by the federal government to states to use for specific purposes.A categorical grant is money given by state or local governments to further education.A categorical grant is money given by the federal government to states with low populations.A categorical grant is money given by the state to people in extreme need. !!kinda urgent!!You decide to put $150 in a savings account to save for a $3,000 down payment on a new car. If the account has an interest rate of 2.5% per year and is compounded monthly, how long does it take you to earn $3,000 without depositing any additional funds? 16 100 g of water at 25 C is poured into an insulating cup. 50 g of ice at 0 C is added to the water. The water is stirred until the temperature of the water has fallen to 0C. 18 g of ice remains unmelted. The specific heat capacity of water is 4.2 J /g C. Which value does this experiment give for the specific latent heat of fusion of ice? Howmany solutions are there to the equation below?4(x - 5) = 3x + 7A. One solutionB. No solutionO C. Infinitely many solutionsSUB 1 Serving size of protein powder is 30grams and has 25g of protein. Jovanny needs to get 34g of protein in. How many more grams of servings does he need to hit his goal of 34g of protein. It cost David $16.75 to fill his 5-gallon gas can.1. Write two different rates.2. What is the best unit rate to use?3. If David decided to fill up his car that has a 22-gallon gas tank, would $73 be enough to cover it? If so, how much does he have leftover? If not, how much is he short? AyudaWhich of the following represents the isolate the variable "r" from the following formula?V = K * q / r Solve for x.8 - 2x = 5(x - 4)X = [?]Enter Agnes Hammer is a senior majoring in management science. She has been interviewing with several companies for a job when she graduates, and she is curious about what starting salary offers she might receive. There are 140 seniors in the graduating class for her major, and more than half have received job offers. She asked 12 of her classmates at random what their annual starting salary offers were, and she received the following responses: $28,500 $35,500 $32,600 $36,000 $34,000 $25,700 $27,500 $29,000 $24,600 $31,500 $34,500 $26,800 Assume that starting salaries are normally distributed. Compute the mean and standard deviation for these data and determine the probability that Agnes will receive a salary offer of less than $27,000. After learning about our laws against smoking and drinking alcohol, write a one paragraph reaction with at least 5 sentences about the governments ways to cease cigarette smoking in the country.You can type in your reaction by clicking the 'add submission' tab and type your reaction. HELP ASAP APPLYING MAIN IDEASThe unfair business practices of the Standard Oil Company were exposed byA.Ida Tarbell.B.Lincoln Steffens.C. Upton sinclair.d. Ida B. Wells. The sum of a whole number and its reciprocal is 10/3 , What is the number? Can you find an easy method of finding the number?Pls Answer ASAP! Will Mark Brainliest. Preliminary preformulation studies for a new candidate drug molecule does not include one of these A. Identity B. Formula and weight C. pharmacological activity D. Pilot scale up what is the quotient 3/8 5/12