Find the center of the circle that you can circumscribe about DABC.
. A(2, 8), B (0,8), and C (2,2)

Answers

Answer 1

The center of the circle that circumscribe about DABC is [tex](h,k) = (1, 5)[/tex].

A circle can be modelled after a expression of the form:

[tex]A\cdot x + B\cdot y + C =-x^{2}-y^{2}[/tex] (1)

We can determine all coefficients by knowing three distinct points on plane.

If we know that [tex](x_{1}, y_{1}) = (2, 8)[/tex], [tex](x_{2}, y_{2}) = (0, 8)[/tex] and [tex](x_{3}, y_{3}) = (2, 2)[/tex], then the solution of the system of linear equations is:

[tex]2\cdot A + 8\cdot B + C = -68[/tex] (2)

[tex]8\cdot B + C = -64[/tex] (3)

[tex]2\cdot A + 2\cdot B + C = -8[/tex] (4)

[tex]A = -2, B = -10, C = 16[/tex]

Now we proceed to complete squares and factor each resulting perfect square trinomial in order to determine the coordinates of the center of the circle:

[tex]x^{2}+y^{2}-2\cdot x -10\cdot y +16 = 0[/tex]

[tex](x^{2}-2\cdot x +1)-1+(y^{2}-10\cdot y +25)-25 +16 = 0[/tex]

[tex](x-1)^{2}+(y-5)^{2}= 10[/tex]

The center of the circle that circumscribe about DABC is [tex](h,k) = (1, 5)[/tex].

To learn more on circles, we kindly invite to check this verified question: https://brainly.com/question/11833983


Related Questions

Find the value of x so that the function has the given value. g(x)=8x-11;(x)=5

Answers

Answer:

29

Step-by-step explanation:

PLS ANSWER QUICK I HSVE EXAMS COMING UP VERY SOON у
42) Which equation best represents the line of best fit for this
scatter plot?
A. y = 4x - 4
B.y= 4x-2
C. y = x-4
D. y=x-2
-5-4-3-

Answers

C
If we drew a line of best fit, the gradient would be roughly equal to 1, and the y intercept would be at around -4

X + y = 3
X + y = -3

Answers

Answer:

no solution hsjsjsjsjsjsjsnsnwnsnsnsnskwk

no solution. hope this helped :)

Question 7 (Essay Worth 10 points)
(03.08A MC)
The number line shows the distance, in meters, of two divers, A and B, from a shipwreck located at point X:
1.5
B
Х
-2.5
A
Hot
-3 -2
+
-1
0
1 2 3
Distance (m)
Part A: Write an expression using subtraction to find the distance between the two divers. (5 points)
Part B: Show your work and solve for the distance using additive inverses. (5 points)

Answers

Answer:

45

Step-by-step explanation:

if x + y = 180 and y = 45, then x + 45 = 180 an example of substitution?

Answers

Answer:Yes. This is an example of substitution.Reason:

This is an example of substitution because you have substituted the 'y' variable to find the 'x' variable.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Plz help with this question.

Answers

a] x/5=3

x=15

b] x/2=8.5

x=17

Express the following as:
ax+by+c=0

-2x+3y=6​

Answers

[tex] \color{magenta} \huge{answer}{} [/tex]

it can be expressed as -2x + 3y = 6

on comparing with ax+by+c=0

We can find out that

[tex] \green{ \huge{a= -2}{} }[/tex]

[tex] \pink{ \huge{b = 3}{} }[/tex]

[tex] \color{magenta} \huge{c = 6}{} [/tex]

hope it helps

The expression -22x + 3y = 6 in the form ax + by + c = 0 is -2x + 3y - 6 = 0

Linear Equations

The given equation is:

-2x + 3y = 6

Comparing the equation above with ax + by + c = 0

Rewrite -2x + 3y = 6 in the form ax + by + c = 0

-2x + 3y - 6 = 0

If -2x + 3y - 6 = 0 is compared with ax + by + c = 0

a = -2, b = 3, c = -6

Therefore, the expression-22x + 3y = 6 in the form ax + by + c = 0 is -2x + 3y - 6 = 0

Learn more on linear equations here: https://brainly.com/question/14323743

-0.5 (bar over 5) as a fraction simplified

Answers

Answer:

5/9

step by step follow up

i keep this all day what is 6 + 6 × 6 + 6 ÷ 6=

Answers

Answer:

43

Step-by-step explanation:

6 + 6 × 6 + 6 ÷ 6

using BIDMAS, we do the division first

6÷6=1

then multiplication

6×6=36

leaving us with:

6+36+1=43

Hopefully this helped- have a good day)

Let's do

6+6×6+6÷66+36+17+3643

Done!

Which function represents the following graph? On a coordinate plane, a cubic function has an inflection point at (negative 3, 3) and crosses the x-axis at (0, 4. 5). Y = StartRoot x minus 3 EndRoot 3 y = StartRoot x 3 EndRoot 3 y = RootIndex 3 StartRoot x minus 3 EndRoot 3 y = RootIndex 3 StartRoot x 3 EndRoot 3.

Answers

The function represents the graph is (d) [tex]y = \sqrt[3]{x+3} + 3[/tex]

The points on the graph are given as:

[tex](x,y) = (-3,3)[/tex] --- the inflection point

[tex](x,y) = (0,4.5)[/tex] --- the y-intercept

The function that satisfy the above points is:

[tex]y = \sqrt[3]{x+3} + 3[/tex]

The proof is as follows:

At the inflection point, we have the x value to be -3.

So, the function becomes

[tex]y = \sqrt[3]{x+3} + 3[/tex]

[tex]y = \sqrt[3]{-3+3} + 3[/tex]

[tex]y = \sqrt[3]{0} + 3[/tex]

[tex]y = 0+ 3[/tex]

[tex]y = 3[/tex] ---- the y-value at the inflection point is true for x = -3

Also, at the y-intercept, we have the x-value to be 0

So, the function becomes

[tex]y = \sqrt[3]{x+3} + 3[/tex]

[tex]y = \sqrt[3]{0+3} + 3[/tex]

[tex]y = \sqrt[3]{3} + 3[/tex]

[tex]y = 1.45+ 3[/tex]

[tex]y = 4.45[/tex] ---- the y-value at the y-intercept is true for x = 0

Hence, the function represents the graph is (d) [tex]y = \sqrt[3]{x+3} + 3[/tex]

Read more about graphs and functions at:

https://brainly.com/question/25918641

Answer:

D

Step-by-step explanation:


Please help answer this question also with explanation

Answers

You would have to calculate the percent first.
Add the total number of students
3420+4680= 8100 students TOTAL

Then you would divide the amount of students by the total

3420 part time/8100 students total = .42 or 42%

4680 full time/8100 total = .58 or 58%

Then you multiply the percentages by 90

(90)(.58)= 52.2

(90)(.42)= 37.8

Rounded

52 full time and 38 part time students

Subtract. Show complete procedure.

4m - 3
3m + 1
-----------

Answers

Answer:

m - 2

Step-by step explanation:

4m - 3  - 3m + 1=> 4m - 3m - 3 + 1=> m - 2

Conclusion:

Therefore, 4m - 3  - 3m + 1 equals m - 2.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Plz help ToT I'm horrible at math

Answers

Answer:

192

Step-by-step explanation:

multiply by each side to find the answer. 4x2 is 8 and 8 x 24 is 192. Which ever order you multiply the numbers in you will always get 192. Hope this helps ^^

what is 5.56 s divided by 6.42 S ​

Answers

Answer:

0.86

step by step explain:

first you want to get a calculator and you want to put in 5.56 divide 6.42

Answer:

= 0.866

Step-by-step explanation:

By moving the decimal point two places to the right, you can convert the divisor 6.42 to a whole number. Then, in the dividend, move the decimal point two places to the right.

Then we have the equation: 556 ÷ 642 = 0.866

and therefore: 5.56 ÷ 6.42 = 0.866

both calculated to three decimal places.

Equation:

The actual equation is attached below as an attachment.

Message:

Hope this helps! I am not the best at math, so sorry if I got it wrong.

Make y the subject of the formula
12m + 24y = 20

Answers

Answer: m=5/3-2y  or if your solving for y  y=-m/2+5/6

Step-by-step explanation:

Answer:

y = 5/6 - m/2

Step-by-step explanation:

4(3m + 6y) = 20

3m + 6y = 5

6y = 5 - 3m

y = 5/6 - 3m/6

y = 5/6 - m/2

Solve the following equation algebraically: 3 x squared = 12 a. Plus-or-minus 3 b. Plus-or-minus 2 c. Plus-or-minus 3.5 d. Plus-or-minus 1.5

Answers

Answer:

b)  ±2

Step-by-step explanation:

3x² = 12

divide each side by 3 to get:

x² = 4

x = ±2

The value of the equation 3x² = 12 is x = ±2.

Option B is the correct answer.

What is an equation?

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

Example:

2x = 6 is an equation.

We have,

3x² = 12

Divide 3 on both sides.

x² = 4

x = ±√4

x = ±2

Thus,

The value of x is  ±2.

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ2

what is the measure of ∠x?

Answers

From figure we have , ∠GFH = 80°  and ∠HGF = 60° , ∠GFH = 40° and ∠GFE = x°

Now,

In ∆HGF

Since Sum of the angles of a triangle is 180° :  

∠GFH + ∠HGF + ∠GFH = 180°

80° + 60° + 40° = 180°

14° + 40° = 180°

54° = 180° ………..(1)

∠GFH + ∠GFE = 180° [Linear pair]

80° + x° = 180°

x° = 180°-80°

x° = 100°

Hence the value of ∠x is 100°

Among the given options option (D) 100° is correct.

also read similar questions: EFG and ∠GFH are a linear pair, m∠EFG 3n+23, and m∠GFH 4n+17. What are m∠EFG and m∠GFH?...

https://brainly.com/question/1617686?referrer

Angle EFG and gfh are a linear pair the measure of EFG equals 4n + 25 and the measure of gfh equals 3n + 15 what are the measures of EFG and the measure of gfh...

https://brainly.com/question/4787517?referrer

50 POINTS!!! MUST BE CORRECT OR I WILL DELETE IT AND REPORT IT!

What is the solution to the equation –3 + 5x = 42?

Answers

Answer:

x=9

Step-by-step explanation:

-3 + 5x = 42

add 3 to both sides

5x=45

divide both sides by 5

x=9

Answer:

x=9

Step-by-step explanation:

Felipe swam 29 kilometers to an island. Then he swam 19 kilometers to a boat. How far did he swim in all?

Answers

48 kilometers

29 + 19 = 48

hope this is helpful!

29+19=48 in all! (Add how much he swam each way)



At what point does the terminal side of the angle 7pi /4 in standard position intersect the unit circle

Answers

Answer: it’s A

Step-by-step explanation: I just did the quiz

Solve: x²+5x-6 = 0
Answer please​

Answers

Given that:

x² + 5x - 6 = 0

Here we see that,

→ Product of coefficient of x² and constant term = 1 × 6 = 6

→Difference of the constant term and the coefficient of x² = 6 - 1 = 5

Now the given equation can be written as,

⇛x² + 6x - 1x - 6 = 0

(Here we simply applied the correc sign and splitted the middle term in two terms)

Now let's take the common terms

⇛x(x + 6) - 1(x + 6) = 0

On grouping we get,

⇛(x - 1)(x + 6) = 0

Here either (x - 1) = 0 or (x + 6) = 0 since the product is zero so anyóne of the terms should be zero.

⇛(x - 1) = 0 or (x + 6) = 0

⇛x - 1 = 0 or x + 6 = 0

⇛x = 1 or x = -6

Here we got two solutions of the equations. This means thet are in correct form.

Answer: The value of X is 1 or -6.

also read similar questions: Solve the following equations. X^2 + 5x + 6 = 0 (Factorise) X^2 + 7x + 11 = 0 (Use the quadratic formula)..

https://brainly.com/question/1296240?referrer

solve the equation x^2+5x+6=0

https://brainly.com/question/22261612?referrer

What is the slope-intercept equation of the line containing the points (–5, 22) and (4, 49) ?

Answers

Answer:

[tex]y=3x+37[/tex]

Step-by-step explanation:

Determine slope:

[tex]Slope=m=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1}=\frac{49-22}{4-(-5)}=\frac{27}{4+5}=\frac{27}{9}=3[/tex]

Determine y-intercept:

[tex]y=mx+b[/tex]

[tex]49=3(4)+b[/tex]

[tex]49=12+b[/tex]

[tex]37=b[/tex]

Final equation:

[tex]y=3x+37[/tex]

A video game that normally sells for $80 is on sale for 60 what is the percent of discount for the sale price

Answers

Answer:

20% discount

Step-by-step explanation:

Write the formula for the volume of a cone V=1/3 π r^2 h in terms of h. Find the height h of a cone with volume V= 32π cm^3 and a radius r= 4cm

Answers

Answer:

Step-by-step explanation:

h≈1.91cm

what are the zeros of the function of y=x^2-3x+2​

Answers

Answer:

(x-1)(x-2)

x=1, x=2

Step-by-step explanation:

Factor the function into (x-2)(x-1) and set each part equal to zero and solve for x.
x-2=0 x=2
x-1=0 x=1



10 0breros construyen un complejo 336 días, ¿cuantos días les tomaría hacer el mismo complejo a 15 obreros?

Answers

Usando proporciones, se encuentra que 15 obreros hacerían el mismo complejo en 24 días.

Esta pregunta se resuelve por proporciones, usando una regla de tres. Cuanto mayor lo número de obreros, menor el tiempo, o sea, las medidas son inversamente proporcionales, lo que implica que la multiplicación es en línea.10 obreros toman 336 dias. ¿Cual el tiempo necessário para 15 obreros?

La regla de três es:

10 obreros - 336 días

15 obreros - x días

Aplicando multiplicación en línea:

[tex]15x = 336(10)[/tex]

[tex]x = \frac{336(10)}{15}[/tex]

[tex]x = 24[/tex]

15 obreros hacerían el mismo complejo en 24 días.

Para obtener más información sobre las proporciones, puedes visitar a https://brainly.com/question/24615636

Find the area of shaded region​

Answers

first, find the area of the rectangle shape: 7cm x 7cm = 49 cm^2

then, find the area of the two half circles, which makes a full circle. the formula to use is (pi)(r^2).
plug in 3.5 cm as the radius (need to divide diameter, 7 cm, by 2): (pi)(3.5^2) = 12.25pi = 38.48 cm^2

49 cm^2 - 38.48 cm^2 = 10.52 cm^2

area of shaded region: 10.52 cm^2

Answer:

Hope it will help you...

Solve: 3x²+9x+6 = 0
Thank you.​

Answers

Given quadrant equation:

3x² + 9x + 6 = 0

Here we see that,

→ Product of coefficient of x² and constant term = 3 × 6 = 18

→ Sum of coefficient of x² ans constant term = 3 + 6 = 9

So the given equation can be written as,

⇛3x² + 6x + 3x + 6 = 0

On taking the common terms, we get

⇛3x(x + 2) + 3(x + 2) = 0

On grouping the common terms, we get

⇛(3x + 3)(x + 2) = 0

Here either (3x + 3) = 0 or (x + 2) = 0. So,

⇛3x + 3 = 0 or x + 2 = 0

⇛3x = -3 or x = -2

⇛x = -3/3 or x = -2

⇛x = -1 or x = -2

also read similar questions:- These are the two roots of the equation.

Julian used these steps to solve the equation 9x=?6+3(3x+2) 9 x = - 6 + 3 ( 3 x + 2 ) . Which choice describes the meaning of his result, 0=0 ?

https://brainly.com/question/11808722?referrer

if a customer spent $60, how many people did they buy food and beverages for?

Answers

They could have spent $10 on each person of a group of 6

-salary of £1410
-26% of the total profit the company makes from her sales

Answers

Answer:

I'm not sure what the question is actually asking but 26% of the profit is 366.60

Step-by-step explanation:

if u subtract the profit, u have 1043.40 remaining

Other Questions
A circular fish pond is shown below. Whatis the circumference of the pond? The radius is 18.5cm Jordan goes to a high school with 1900 students. He surveyed a random sample of 240 students about their favorite sport, and 150 said that football was their favorite sport. Jordan reported to the school newspaper that football is the favorite sport of 1188 students. What inference did Jordan make? PLSS HELP QUICK !! The condition of acidosis can also cause ____________ because the higher H concentration diffuses to the ICF, pushing K towards the ECF. The letter in front of a number, showing multiplication. A.) Combining like termsB.) Coefficient C.) Distributive propertyD.) Like terms . A sample of ammonium phosphate can be prepared by the reaction of aqueous ammonia and phosphoric acid. 3NH3 (aq) + H3PO4 (aq) (NH4),PO4 (aq) 25.0cm of 1.25 mol/dm phosphoric acid is neutralised by 45.3cm of aqueou ammonia (a) Calculate the concentration in mol/dm3 of the ammonia used. Africa largest lake is lake The numbers of bit that's can be transferred per second over a given transmission medium . Finding single technical term Similarity of goodsII. Similarity of languagesIII. Non-payment of duesIV. Strong colonial tiesII.III.IV.===> c daI, II and III onlyI, III and IV onlyII, III and IV onlyI, II and IV onlyA.B.C.DD.42.FI36. Which of the following settlements is a confluencetown?A. AbujaB. BanjulC. KhartoumD. London37. An example of a market-oriented industry issteel.vehicle.cement.food.& CMOS43.38. Which of the following features distinguishesheavy industries from light industries?A. Ownership structure of the firmB. Amount of waste products generatedC. Complexity of processing techniquesD. Source of raw materials44. How did Mansa Musa affect Mali and the rest of the worldMake a paragraph it doesnt need to be long please help me interactions in the savanna ecosystem What is a potential reason that affirmative action policies at colleges are challenged in court?A.No challenges exist; affirmative action is widely accepted.B.Admissions are down at all colleges, thus, affirmative action needs to be removed.C.Those policies can favor certain groups over others.D.The Supreme Court has made affirmative action mandatory policy in the United States. Two spherical balloons are filled with water. The first balloon has a radius of 3 cm, and the second has a radius of 6 cm. How much greater is the volume of water in the larger balloon than in the smaller balloon? Use 3. 14 to approximate pi. Round to the nearest hundredth if necessary. Enter your answer as a decimal in the box. Find the HCF of 18, 36 and 45 How do I solve this question? A bag with 6 marbles has 2 blue marbles, 1 red marble, and 3 yellow marbles. A marble is chosen from the bag at random. What is the probability that itis not blue? Adam bought a fish aquarium worth $3,000 in the first week of the year. Its value depreciates by 3% per week. What will the value of the fish aquarium be after 5 weeks? Justin completed 85% of a book when he read the first 170 pages. How many pages are in the book? Correct and rewrite the following statements:a). Rubber is a good conductor of electricity.b). Electroplating wastes are useful to human health and environment.c). In an LED bulb, the shorter lead connected to the positive terminal of the battery.d). pure water conducts electricity._______________________#No spam#No Internet answers, please#Explanation needed Which of the following is the least nutrient-dense?Plain baked sweet potatoBaked sweet potato with butterSweet potato friesAll of the above are equal in nutrient density. 3. Which of the following is not a sign that a teacher might be a risk for perpetrating maltreatment?expressing personal frustrations to the classholding hands with or hugging a childshowing interest in a particular childmocking a child who makes a mistake