Help please!!! :')

Given a diameter of a circle at endpoints (8,-7) and (4,5), algebraically find the equation of the circle.

thank you smm <3

Answers

Answer 1

Answer:

(x-6)^2 + (y+1)^2=40

Step-by-step explanation:

see image. Use Midpoint Formula to find the center. Then use Distance Formula to find the diameter. Cut the diameter in half to find the radius. Use the circle formula to insert (h,k) the center and r, the radius to find the equation. See image.

Help Please!!! :')Given A Diameter Of A Circle At Endpoints (8,-7) And (4,5), Algebraically Find The
Answer 2

Answer:  [tex](x - 6)^2 + (y + 1)^2 = 40[/tex]

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

Explanation:

The x coordinates of the given endpoints are x = 8 and x = 4. Apply the midpoint to them to get [tex]\frac{x_1+x_2}{2} = \frac{8+4}{2} = \frac{12}{2} = 6[/tex] which is the x coordinate of the midpoint. I added them up and divided by 2.

Similar steps will have the y coordinate of the midpoint be

[tex]\frac{y_1+y_2}{2} = \frac{-7+5}{2} = \frac{-2}{2} = -1[/tex]

Overall, the midpoint of those given points is (6, -1)

This is the center of the circle because the two endpoints are part of a diameter.

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

Now turn to the template

[tex](x - h)^2 + (y -k )^2 = r^2[/tex]

We will plug in the center (h,k) = (6, -1) and one of the endpoints for (x,y). Let's say we go for (x,y) = (4,5)

This leads us to the following:

[tex](x - h)^2 + (y -k )^2 = r^2\\\\(4 - 6)^2 + (5 - (-1) )^2 = r^2\\\\(4 - 6)^2 + (5 + 1 )^2 = r^2\\\\(-2)^2 + (6 )^2 = r^2\\\\4 + 36 = r^2\\\\r^2 = 40\\\\[/tex]

We don't need to isolate r itself. If you wanted, you could take the square root of both sides to see that the radius is [tex]r = \sqrt{40} \approx 6.3246[/tex]. However, again we don't need to solve for r entirely when forming the circle's equation.

With that [tex]r^2[/tex] value in mind, and the h & k values as well, we go from this template

[tex](x - h)^2 + (y -k )^2 = r^2[/tex]

to this final answer

[tex](x - 6)^2 + (y + 1)^2 = 40[/tex]


Related Questions

give me the full working and I give you stars ​

Answers

→ Area of rectangle = Length * Width

Here given:

Length = 63 mWidth = 17 m

Here area:

L * W63 * 17 1071 m²

Answer:

1071 m²

Step-by-step explanation:

The area of a rectangle is basically the length multiplied with the width. The length can be any side length, but the width must be the adjacent to the length. Thus, we can let the length be 63 meters and the width be 17 meters as the width is adjacent to the length.

⇒ Area of rectangle = Width × Length

⇒ Area of rectangle = 17 × 63

Area of rectangle = 1071 m²

Which number line shows all the values of x that make the inequality -3x + 1 < 7 true

Answers

After solving the equation (work shown in image) your answer would be x > -2. I drew an image of how the number line should look at least similar to, using the solution.

*whenever you divide or multiply with a negative number reverse/flip the sign

< or > signs will always have an open circle

≥ or ≤ signs will have a closed/filled in circle

TIP: To know which way the arrow should point, look at the sign and think of it as an arrow.

< would have the arrow on the number point

this way: <-

or > which would have the arrow on the number line point this way: ->

Please do number 4. Thanks

Answers

Answer:

C because he has to interview every student in his class to collect data

The carpet for the office you completed cost $576. If you're using the same carpet in the new client's bedroom, how much will it cost? Round up to the nearest whole dollar. (Hint: You may want to find the area of each room and the cost of the carpet per square foot.)
$360 $280 $64 $225
with explanation please ​

Answers

The cost of similar carpet in the client's bedroom is $225


Area of Shapes

Given Data

Cost of Carpet = $576Area of Office = 16*19.2 = 307.2 square feetArea of Bedroom = 12*10 = 120  square feet

if 307.2 square feet of carpet will cost $576

the 120 square feet of carpet will cost $x

cross multiplying we have

x = 120*576/307.2

x = 69120/307.2

x = $225

Learn more about area of shapes here:

https://brainly.com/question/2607596

Part A
The graph of polygon FGHI has coordinates F(2. – 1), G(5,2), H(8, 3), and I(6, 0). Graph the image of FGHI
after a reflection across the line y = -1.
Part A
Graph the line of reflection
Part B
Graph FGHI and its reflection across the line y = -1

Answers

Reflecting the polygon FGHI across the line involves flipping the line across the line y = -1

How to reflect the polygon?

The coordinates are given as:

F(2, – 1), G(5,2), H(8, 3), and I(6, 0)

The line of reflection is given as:

y = -1

To reflect the line, we apply the following rule of reflection

(x,y) [tex]\to[/tex]  (x,-y-2)

So, we have the following coordinates of the image

F' = (2, – 1)

G' = (5,-4)

H' = (8, -5)

I' = (6, -2)

See attachment for the image of the reflected polygon

Read more about reflection at:

https://brainly.com/question/4289712

HELP HELP HELP FAST PLEASE

Answers

Answer:

111

Step-by-step explanation:

Complete the steps to evaluate log798, given log72 ≈ 0.356. how can you rewrite log798 using the product property?

Answers

The expression  [tex]\rm log_{7} 98[/tex]  using the product property is [tex]\rm log_{7} 49 + \rm log_{7} 2[/tex].

What is a logarithm?

A logarithm is the exponentiation inverse function that can be expressed by the exponent or power to which a base must be raised to yield a number.

It is given that [tex]\rm log_{7} 2[/tex] = 0.356

We can write [tex]\rm log_{7} 98[/tex] in terms of  [tex]\rm log_{7} 2[/tex]

[tex]\rm log_{7} 98[/tex] = [tex]\rm log_{7} (49\times 2)[/tex]

In logarithm, the product will change in addition

[tex]\rm log_{7} 98[/tex] = [tex]\rm log_{7} (49\times 2)[/tex]

= [tex]\rm log_{7} 49 + \rm log_{7} 2[/tex]

Hence, the expression  [tex]\rm log_{7} 98[/tex]  using the product property is [tex]\rm log_{7} 49 + \rm log_{7} 2[/tex]

Learn more on logarithm here:

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Answer:

log7 2 + log7 49

log7 49= 2

Step-by-step explanation:

I need help answering this

Answers

Answer: 80%

Step-by-step explanation:

or 85% but i think its 80%

(100 POINTS AND BRAINLIEST) Please use the answers that are given. Using the following data, calculate the mean absolute deviation
What is the mean absolute deviation for these data?
A: 9
B: 5.4
C: 5
D: 2.6

Answers

Answer:

There isn't any data, maybe you could put the rest of the question in the comment area.

Class A has 25 pupils and class B has 28 pupils.

Both classes sit the same maths test.

The mean score for class A is 69.

The mean score for both classes is 41.

What is the mean score in the maths test for class B?

Please helppp

Answers

Answer:

I think it will be less than 69 because the tozal mean is 41 while of A is 69 mean the values has decreased

the binary number 1101101 converted to decimal number is​

Answers

Answer:

109

Step-by-step explanation:

The volume of a paper cone of radius 2.4cm is 95.4 cm3.

The paper is cut along the slant height from O to AB.

The cone is opened to form a sector OAB of a circle with centre O.

Calculate the sector angle x°.

[The volume, V, of a cone with radius r and height h is V= 1/3 x π x r² x h.]

Answers

The sector angle formed by the cone when it is opened is: 54°.

What is the Curved Surface Area of a Cone?

Curved surface area of a cone = πrl, where l is the slant height and r is the radius of the cone.

What is the Area of Sector?

Area of a sector in a circle = ∅/360 × πr², where ∅ is the sector angle.

Step 1: Find the height (h) of the cone using the volume formula, V= 1/3 x π x r² x h:

V = 95.4 cm³

r = 2.4 cm

Plug in the values:

95.4 = 1/3 x 3.14 x 2.4² x h

95.4 = 6.03 x h

h = 15.8 cm

Step 2: Use the pythagroean theorem to find the slant height (l) of the cone

l = √(h² + r²)

Plug in the values

l = √(15.8² + 2.4²)

l = 16 cm.

Step 3: Find the curved surface area of the cone

Curved surface area = πrl = π(2.4)(16) = 120.6 cm².

Step 4: Find the sector angle of the sector formed by the cone when opened

Curved surface area of the cone = area of the sector formed by the cone = 120.6 cm².

Area of a sector in a circle = ∅/360 × πr², therefore:

120.6 = ∅/360 × (3.14)(16²)

120.6 = ∅/360 × 803.84

(120.6)(360) = (∅)(803.84)

43,416 = (∅)(803.84)

43,416/803.84 = ∅

∅ = 54°

Therefore, the sector angle formed by the cone when it is opened is: 54°.

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write each ratio in the simplest form 35 to 105

Answers

Answer: 35:105=1:3

Hope this helps! Have a good day !!! :)

The sum of two numbers is 39. The larger number is 11 more than the smaller number. What are the numbers?

Larger number: ?
Larger number: ?

Answers

Answer:

Larger number = 25

Smaller number = 14

Step 1. Establish variables and system of equations

Larger number = x

Smaller number = y

&

x + y = 39

y + 11 = x

Step 2. Isolate a variable in ONE equation

x + y = 39

y = 39 - x

Step 3. Substitute that into the OTHER equation to find x

y + 11 = x

(39 - x) + 11 = x

50 - x = x

50 = 2x

25 = x

Step 4. Substitute that into the OTHER equation to find y

x + y = 39

(25) + y = 39

y = 14

Hope this helps!
Large: 25
Small: 14


i did. this for test practice in class on Friday!

The deck off the back of the house creates a right triangle. The side of the deck resting against the house is the hypotenuse of the triangle. You decide to put new stain on the wood. One edge of the deck measures 15 feet and the other edge of the deck measures 20 feet. Answer the follow- ing questions: 1. What is the area of the deck? 2. Each gallon of stain covers a maximum of 350 square feet. How many do you need? 3. If each gallon costs $36.98, what will the project cost you?​

Answers

Approximately 2 gallons will be needed if each gallon of stain and  the project will cost be $73.96 if  each gallon costs $36.98

How to find the area of a triangle

The formula for calculating the area of a triangle is expressed as:

A = 0.5bh

where

base = 15feet

height = 20feet

Area of the deck = 20 * 15 * 0.5

Area of the deck is  150 square feet

Number of gallons needed  = 350/150 = 2.3

Hence approximately 2 gallons will be needed if each gallon of stain covers a maximum of 350 square feet.

Cost of the two gallons  = 36.98 * 2

Cost of the two gallons  = $73.96

Hence the project will cost be $73.96 if  each gallon costs $36.98

Learn more on area of a triangle here: https://brainly.com/question/23945265

Write the following in order of size ,starting with the smallest. 66/100 , 0. 6 , 0. 67 , 666/1000

Answers

Answer:

0.6,66/100,666/1000,0.67

Find the length of the third side. If necessary, write in simplest radical form

Answers

Answer:

Step-by-step explanation:

4 x f(6) - 6 x g(5)=

Answers

24f-30g
Might be the answer depending if you’re trying to simplify or find the exact value.

: Find a rational number that is between 5.2 and 5.5. Explain why it is rational. (2 points)

Part B: Find an irrational number that is between 5.2 and 5.5. Explain why it is irrational. Include the decimal approximation of the irrational number to the nearest hundredth. (3 points)

Answers

Answer:

A rational number: 5.4, which also can be written as 27/5

Irrational number:

sqroot 28

approx= 5.29

Step-by-step explanation:

5.4 is a rational number because it is a terminating decimal. That means it ends after the 4, there are no more numbers. Also it can be written as a ratio (looks like a fraction) 27/5.

Sqroot28 is irrational. Since 28 is not a perfect square, when you squareroot it you get a number with a neverending decimal

sqroot28 = 5.2915026221...

since the decimal does not repeat or end it cannot be written as a ratio, so it is not rational

sqroot28 ~= 5.29

I Need help asap!!!!!!!!!!!!!!!!!!

Answers

Answer:

The answer of how many cars is 23

The answer would equal to 23 cars rented

Find the length of the third side. If necessary, round to the nearest tenth
Pythagorean Theorem (Rounding)

Answers

Using the Pythagorean theorem:

X^2 = 10^2 + 24^2

X^2 = 100 + 576

X^2 = 676

X = sqrt(676)

X = 26


answer: 26

Answer:

26 :)

Step-by-step explanation:

Pythagorean theorem: a^2 + b^2 = c^2

Lets solve!!

10^2 + 24^2 = c^2

100 + 576 = c^2

676 = c^2

Now lets find the square root!!

[tex]\sqrt{676}[/tex] = 26

Have an amazing day!!!

Please rate and mark brainliest!!

What is the volume of a right circular cylinder with a diameter of 19.6 yd and a height of 23.52 yd?

Enter your answer in the box. Use 3.14 for pi and round only your final answer to the nearest hundredth.

Answers

Answer:

7092.82 cubic yards

Step-by-step explanation:

The volume of a right circular cylinder is given by:

V represents the volume of a cylinder.

r represents the radius of a cylinder.

h represents the height of a cylinder.

As per the given statement:

Diameter(D) = 19.6 yd and height(h) = 23.52 yd.

Diameter = 2r where r is the radius of the cylinder

Substitute these given values in [1] we have cubic yard

Simplify:

V = 7,092.82291 cubic yard.

Hope this helps!

The sum of two trinomials is 7x2 - 5x + 4. if one of the trinomials is 3x2 + 2x - 1, then what is the other trinomial?
a.
10x2 - 3x + 3
b.
4x2 - 7x + 5
c.
10x2 + 7x + 5
d.
4x2 - 3x + 3

Answers

Answer:

  b.  4x^2 -7x +5

Step-by-step explanation:

When you know a sum and one of its contributors, you can find the other by subtraction. The other trinomial is ...

  (7x^2 -5x +4) - (3x^2 +2x -1)

  = (7 -3)x^2 +(-5 -2)x +(4 -(-1))

  = 4x^2 -7x +5 . . . . . matches B

I need help with thissss fasttt thank youuu!!

Answers

Answer:

6 x 40 - 3 x 60

Step-by-step explanation:

sorry i cant answer rn but if you put the equation above into a calculator it should tell you!

hope this helps<3

Answer:

50

Step-by-step explanation:

3 × 10 to the 6 is 3,000,000
6 × 10 to the 4 is 60,000
3,000,000 ÷ 60,000 is 50

Factor.
x^2 4x +4

(x + 2)^2

(x+4)^2

(2 – 2)^2

(2 – 4)^2

Answers

Answer: The answer is [tex](x+2)^2[/tex]

Step-by-step explanation:

Because  [tex](x+2)^2[/tex] means  [tex](x+2)(x+2)[/tex]

So we use the foil method to factor

First: [tex]x*x=x^2[/tex]

Outside: [tex]x*2=2x[/tex]

Inside: [tex]2*x=2x[/tex]

Last: [tex]2*2=4[/tex]

So we now write the following equation [tex]x^2+2x+2x+4[/tex]

Simplfied [tex]x^2+4x+4[/tex]

Instructions: Find the missing side of the triangle.

Answers

Answer:

x=15

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2+b^2 = c^2  where a and b are the legs and c is the hypotenuse

The legs and x and 20 and the hypotenuse is 25

20 ^2+x^2 = 25^2

400 + x^2 = 625

Subtract 400 from each side

x^2 = 625-400

x^2 = 225

Take the square root of each side

sqrt(x^2) = sqrt(225)

x = 15

Quotient for 7.924/0.7

Answers

Answer:

11.32

Step-by-step explanation:

What is the value of x in the figure?

Enter your answer in the box.

x =

Answers

Answer: x = 29

Step-by-step explanation:

Complementary angle. 90-61=29. Basically finding what the number is shown from minus 90 since its complementary. :)

HELLO EVERYONE PLS ANSWER THIS QUESTIONS CAUSE I NEED THEM ASAP. Thank you to whoever answers

Answers

Answer:

1. The Dela Cruz family's water consumption for the month of June is 0000245 m³ land for the month of July, the reading is 0000280 m³. How much water was their water consumption for the month of July?

Answer: 35 cubic metre

________________________________

2. At P8.00 per cubic meter of water, how much was the basic bill for the period of August 2014 to September 2014 if the meter reading on September was 00001450 while the reading August was 00001480?

Answer: PHP 240

________________________________

3. The Duran family usually consumes 230 kwh monthly. They practiced conservation measures to save on the use of electricity. If the previous month's reading is 5680 and the present reading is 5950, what is the number of kwh used? Did they save electricity?

Answer: 270 kwh

________________________________

4.The previous reding of the water meter was 0000345 m. The present reading is 0000395 m³. How many cubic meters water was consumed?

Answer: 0000050 m³

________________________________

5.The previous reading of the electric meter was 2895 kwh and present reading is 3025 kwh. How many kilowatts of electricity was consumed?

Answer: 130

________________________________

Help me please I don’t know what to do

Answers

Answer:

You didn't include the question, so people are unable to help you.

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