If a circle has a diameter with endpoints of (-3, 0) and (5, 4), then the equation of the circle is?

Answers

Answer 1
First find we find the distance between the two points. Using the distance formula we get about 9. Now we know the radius is about 4.5. Next we need to the center. This is found by taking the mid point of the two given end points. We do this by averaging the x values for the x origin and the same for the y values. This gives us (1,2). Now put this into the formula.
THE ANSWER IS (x-1)^2+(y-2)^2=20.25

Related Questions

which of the following shapes is the base of a cylinder? A, triangle, B.pentagon, C,square, D, circle

Answers

Answer:

idk but i think the answer is d

Answer:

The answer is D. Circle

Step-by-step explanation:

The bottom of a cylinder is a circle.

Factor 1
Which expression is the factored form of
x2 - 7x + 10?
+x
-X
42
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0 (x+3)(x + 4)
o (x - 3)(x - 4)
(x-2)(x - 5)
(x + 2)(x + 5)
ON
-
+
+
-X
Factor
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+
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+
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LY
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Reset
Intro
ODNO

Answers

Answer:

          (x - 2)(x - 5)    

Step-by-step explanation:

[tex]x^2 - 7x + 10=\\\\=x^2 - 5x -2x + 10=\\\\=x(x-5)-2(x-5)=\\\\=(x-5)(x-2)[/tex]

Answer:

[tex]\boxed{(x-2)(x-5)}[/tex]

Step-by-step explanation:

=> [tex]x^2-7x+10[/tex]

Using mid-term break formula

=> [tex]x^2-5x-2x+10[/tex]

=> x(x-5)-2(x-5)

Taking (x-5) as common

=> (x-2)(x-5)

i will mark brainlist ​

Answers

Answer:

[tex]\boxed{x = 30}[/tex]

Step-by-step explanation:

x + 2x + 3x = 180 (Interior angles of a triangle add up to 180 degrees)

=> 6x = 180

Dividing both sides by 6

=> x = 180 / 6

=> x = 30

Answer:

x= 30

Step-by-step explanation:

3x + 2x + x = 180

6x= 180

x = 180/6

:• x = 30

Driving on the highway, you can safely drive 60 miles per hour. "How far can you drive in ‘h' hours?" What is the range of the function which defines this situation? A. 60 B.The number of hours you drive C.The amount of gas you use D.The distance you drive

Answers

Answer:

D.The distance you drive

Step-by-step explanation:

If you describe this situation as function, then it will look as:

f(h)= 60hFor h=1 you have f(1)= 60 milesFor h=2 you have f(2)= 120 miles etc.

The range of the function is the set of output values

In this case the range is the distance you drive

Correct option is D.

Answer:

The distance you drive

Step-by-step explanation:

i just took the test

need HELP ON THIS A S AP !!!!!

Answers

Answer:

803.84yd²

Step-by-step explanation:

Surface Area of A Sphere: [tex]A=4\pi r^2[/tex]

We are given the radius of 8 yards.

Using 3.14 for pi:

[tex]A=4*3.14*8^2\\\\A=4*3.14*64\\\\A=12.56*64\\\\\boxed{A=803.84}[/tex]

The correct answer should be 803.84yd².

Brainilest Appreciated.

Answer:

803.84 yd^2

Step-by-step explanation:

4*3.14*8^2

12.56*64

803.84

brainliest pls

hope i helped

           -ZYLYNN

I NEED HELP!! ASAP PLEASE!!!

Answers

Answer:

D

Step-by-step explanation:

a:angles given do not necessarily prove that ADP and BCP is 30 they can be different

c:angles given are not in triangles

b:with regards to the square I don't think you can really prove the statement

Can anyone help me with this question? Which reason justifies the conclusion that ∆PST ≅ ∆RST?

Answers

Answer:

A) SAS postulate

Step-by-step explanation:

Answer:

SAS

Step-by-step explanation:

you know that ST is equal and you also know two equal angles and one other equal side

The main triangular sail on a sailboat is 25 feet tall and 10 feet wide at the bottom. If the sides of another sail are proportional to the main sail, and the bottom of this sail is 8 feet wide, how tall is it?

Answers

Answer:

20 feet

Step-by-step explanation:

Here,,

Sides of two sail are proportional.

Let the height be 'x'

Now,

[tex] \frac{a1}{b1} = \frac{a2}{b2} [/tex]

plug the values

[tex] \frac{25}{10} = \frac{x}{8} [/tex]

Apply cross product property

[tex]10x = 25 \times 8[/tex]

Multiply the numbers

[tex]10x = 200[/tex]

Divide both sides of the equation by 10

[tex] \frac{10x}{10} = \frac{200}{10} [/tex]

Calculate

[tex]x = 20 \: ft[/tex]

Hope this helps...

Best regards!!

Answer:

20

Step-by-step explanation:

What is the image of E for a 120° counterclockwise rotation about the center of the regular hexagon?

Answers

Answer:

N

Step-by-step explanation:

Since this hexagon has six sides, and to end up back at E again we’d need to rotate 360°, this means for every side we cross it’s a 60° turn.

Therefore, [tex]60 \cdot 2 = 120[/tex]° would be two sides.

Since we are moving counter-clockwise, the image for E would be to the left of it.

Two sides/points to the left of E is N, so the image of E for a 120° counterclockwise rotation around the center of this shape would be N.

Hope this helped!

Find the area of the triangle

Answers

Answer:

[tex]Area = 24.8 cm^2[/tex]

Step-by-step explanation:

Given

[tex]PQ = 4.9cm[/tex]

[tex]RQ = 11 cm[/tex]

[tex]<Q = 113\ degrees[/tex]

Required

Find the area of the triangle

When presented with a triangle where two sides are known and an angle between the two sides; The area is solved as follows;

[tex]Area = \frac{1}{2}ABSinC[/tex]

Where A and B are the two known sides and C is the angle between A and B

Having said that;

The area of the triangle is calculated as thus;

[tex]Area = \frac{1}{2} * RQ * PQ * SinQ[/tex]

[tex]Area = \frac{1}{2} * 11 * 4.9 * Sin113[/tex]

[tex]Sin113 = 0.9205[/tex]

Hence, the equation becomes

[tex]Area = \frac{1}{2} * 11 * 4.9 * 0.9205[/tex]

[tex]Area = \frac{11 * 4.9 * 0.9205}{2}[/tex]

[tex]Area = \frac{49.6152}{2}[/tex]

[tex]Area = 24.8076[/tex]

[tex]Area = 24.8 cm^2[/tex] --- Approximated

∫1/(1+sinx^2 +2cos^2x)

Answers

Answer:

Im not sure, is this correct?

how many 4-digit numbers can be formed using only the digits 9, 8 and 7? :p

Answers

Answer: 81

Step-by-step explanation:

First digit  and    Second digit    and    Third digit    and    Fourth digit

3 choices  x       3 choices          x        3 choices      x       3 choices     = 81

18.2 divided by 18 what’s the answer??

Answers

18.2 divided by 18 is 1.011

Answer:1.0111111111

Step-by-step explanation:

18.2 - 18 = .2-18 =1.0111111





lf a bus travels 6 km in 10 minutes, what distance does it travel in 1second

Answers

Answer:

0.01 km

Step-by-step explanation:

[tex]6\: km\: in \:10\: minutes\\First\:lets\:convert\:10\:min\:to\:seconds\\\\1\:minute \:\:\:\:=60\:seconds\\\\10\:minutes = x \:seconds\\\\x = 60\times 10\\x = 600seconds\\\\6km\: = 600\:seconds\\x\:km = 1 \:second\\\\Cross\:Multiply\\600x =6\\\frac{600x}{600} =\frac{6}{600} \\\\x = 1/100\\\\ =0.01km[/tex]

A certain circle can be represented by the following equation x^2+y^2+18x+14y+105=0 What is the center and radius of the circle?

Answers

Answer:

Center of the circle is (-9, -7)

Radius of the circle = 5 units

Step-by-step explanation:

Given question is incomplete: here is the complete question.

Certain circle can be represented by the following equation. x^2+y^2+18x+14y+105=0.

What is the center of this circle ?

What is the radius of this circle ?

Since equation of the circle has been given by the equation,

x² + y² + 18x + 14y + 105 = 0

Now we will convert this equation to the standard form of the circle.

x² + 18x + y² + 14y = -105

[x² + 2(9)x] + [y² + 2(7)x] = -105

[x² + 2(9)x + 9²] + [y² + 2(7)y + 7²] = 9² + 7² - 105

(x + 9)² + (y + 7)² = 81 + 49 - 105

(x + 9)² + (y + 7)² = 25

(x + 9)² + (y + 7)² = 5²

By comparing this equation with the standard equation of the circle → (x - h)² + (y - k)² = r²

Answer options:

1) f(x)= -(x+5)^3 (x-2)^2

2) f(x)= (x-5) (x-510) (x+2)

3) f(x)= (x+5)^3 (x-2)^2

4) f(x)= (x-5)^2 (x+2)^3

Answers

Answer:

1) f(X) = ( X+5 )^3 ( x-2 )^2

A student accidentally added five to both the numerator and denominator of a fraction, changing the fraction's value to $\frac12$. If the original numerator was a 2, what was the original denominator

Answers

Answer:

Original denominator=9

Step-by-step explanation:

A student accidentally added five to both the numerator and denominator of a fraction, changing the fraction's value to 1/2. If the original numerator was a 2, what was the original denominator.

Original Numerator=2

The new numerator after the addition of 5 will be 2+5=7

New Numerator=7

New denominator=x

Value of the fraction=1/2

The Fraction is written in the form:

7/x=1/2

Cross product

7*2=1*x

14=x

x=14

Therefore, the new denominator (x)=14

Check:

7/14=1/2

Original denominator before 5 was accidentally added

=14-5

=9

3. Daniel is a very good television salesperson. His annual sales average at $187,400. His
commission on sales is 30% and his annual base salary is $40,000. On average what is his
annual gross income?

Answers

Answer:

$96,220

Step-by-step explanation:

Daniel is a very good sales person

His annual sales average is $187,400

His commission on sales is 30%

= 30/100

= 0.3

His annual base salary is $40,000

Therefore, Daniel's annual gross income can be calculated as follows

Annual gross income= Annual base salary + Commission on sales

= $40,000 + (30/100 × $187,400)

= $40,000 + 0.3×$187,400

= $40,000+$56,220

= $96,220

Hence Daniel's annual gross income is $96,220

To mix mortar to lay bricks,you need 2.5Kg of cement,4kg of sand and 3 liters of water.Sand is sold in 10kg bags.How much cement and water will I need to add to make mortar?​

Answers

Answer:

6.25 kg cement, 7.5 L water

Step-by-step explanation:

2.5 kg cement / 4 kg sand = x kg cement / 10 kg sand

x = 6.25

3 L water / 4 kg sand = y L water / 10 kg sand

y = 7.5

50 Pts!!! Answer ASAP.

Answers

Answer:

0.8

Step-by-step explanation:

because the template should be axr^n-1

where r is the common ratio

r=0.8

Answer:

0.8

Step-by-step explanation:

How many sides does a convex polygon have with the given sum for its interior angles. If not possible, answer with the
number zero in the box.
2205°

Answers

Answer

0

Explanation

Formula for sum of interior angles:

(n - 2) • 180 = sum = 2205 °

Where n = number of sides

2205/180 = n - 2

12.25 = n - 2

14.25 = n

Answer is 0 as you can’t have a quarter of a side

Please Help! Which description best describes the solution to the following system of equations? y = −x + 4 y = 3x + 3 Line y = −x + 4 intersects the line y = 3x + 3. Lines y = −x + 4 and y = 3x + 3 intersect the x-axis. Lines y = −x + 4 and y = 3x + 3 intersect the y-axis. Line y = −x + 4 intersects the origin.

Answers

Answer:

Line y = −x + 4 intersects the line y = 3x + 3.

Step-by-step explanation:

Please Help! Which description best describes the solution to the following system of equations?

y = −x + 4

y = 3x + 3

Line y = −x + 4 intersects the line y = 3x + 3.

This is the response because the solution to a system of two equations is represented by the intersection of the equations of the two lines/curves.

Lines y = −x + 4 and y = 3x + 3 intersect the x-axis.

Lines y = −x + 4 and y = 3x + 3 intersect the y-axis.

Line y = −x + 4 intersects the origin.

Help!! Gotta finish 2 units in 4 days!!

Answers

Answer:

[tex]\large \boxed{\sf \ \ g(x)=3|x| \ \ }[/tex]

Step-by-step explanation:

Hello,

Let's follow the instructions !

Step 1

g(x)=k*f(x)=k*|x|

We know that the point (2,6) is on the graph so 6=g(2) meaning:

6=k*|2|=k*2

*** divide by 2 both sides ***

k = 6/2 = 3

Step 2

g(x)=3*|x|

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Find the area of the triangle. Round the answer to the nearest tenth. Triangle is SSA. a= 3.7 b= 3.7 β= 70° ----- A.4.4 square units B.5.2 square units C.6.8 square units D.8.8 square units

Answers

Answer:

  A.  4.40 square units

Step-by-step explanation:

The triangle is isosceles with base angles of 70°. The a.pex angle will be ...

  180° -2(70°) = 40°

The area of a triangle can be computed from two sides and the angle between them as ...

  A = (1/2)ab·sin(γ)

  A = (1/2)(3.7)(3.7)sin(40°) ≈ 4.40 . . .  square units

(x+1)(x-2)=0
Solve the quadratic equation using factoring

Answers

Answer:

x= -1 or x= 2

Step-by-step explanation:

(x+1)(x-2) = 0x+1 = 0 or x-2=0 x = -1    or x = 2

On each of three pieces of paper a three digit number is written two of the digits are covered . The sum is 826. What is the sum of two covered digits?

Answers

Answer:

9

Step-by-step explanation:

The diagram showing the three pieces of paper of three digit in which two of the letters were covered can be seen below.

From the diagram; we have;

243 , 1_7 , _26

Assuming the covered digits are _

The sum is 826.

i.e

243 + 1_7 + _26 = 826

The objective is to determine the sum of the two unknown digits

So; we need to think about what number can we add put in 1_7 to determine the covered digit in  _26

From ; 1_7 , we have the choice to pick from 0 - 9

Assuming the covered digit is 0; let's check if we are right

So; 243 + 107  +  _26 = 826

350 +   _26 = 826

_26 = 826 - 350

_26 = 476

So; the covered digit is in the position of 4 , but it doesn't tally together

i.e 426 is not the same as 476, which makes our assumption to be wrong.

Let consider the covered digit to be 5 for example.

So; 243 + 157  +  _26 = 826

400 +   _26 = 826

_26 = 826 - 400

_26 =  426

The covered digit is in the position of 4

SO;

426 = 426

Here , our assumption is right.

As such , the covered digits are 5 and 4

The sum of the two  covered digits are = 5 + 4 = 9

A Little League baseball coach wants to know if his team is representative of other teams in scoring runs. Nationally, the average number of runs scored by a Little League team in a game is 5.7. He chooses five games at random in which his team scored 5 , 9, 4, 11, and 8 runs. Is it likely that his team's scores is different from the national distribution

Answers

Answer:

Yes, it is likely due to the significant difference in their average scores.

Step-by-step explanation:

The average number of runs scored by a Little League team in a game is 5.7. If he chooses five games at random in which his team scored 5 , 9, 4, 11, and 8 runs, their average score of the five games is expressed as shown;

Average score of 5 games = (5+9+4+11+8)/5

Average score of 5 games  = 37/5

Average score of 5 games  = 7.4

Comparing the average score in 5 games to the the average number of runs scored nationally, it can be seen that their difference is 7.4 - 5.7 which is 1.7. Since the difference is quite significant, then it is most likely that his team's scores is different from the national distribution.  

Which is the best estimate for the percent equivalent of 7 Over 15

Answers

Approximate what the value of [tex]7/15[/tex] is by using calculator.

[tex]7/15\approx0.47[/tex].

And now just multiply by 100 to get percentage.

[tex]100\cdot0.47=\boxed{47\%}[/tex].

Hope this helps.

Answer:

24%

Step-by-step explanation:

7\15 x 100

simplify and get=140\3

dived140\3=48\2

simplify 48\2=24%

PLEASE HELP A store is having a sale on chocolate chips and walnuts. For 5 pounds of chocolate chips and 3 pounds of walnuts, the total cost is $21. For 2 pounds of
chocolate chips and 6 pounds of walnuts, the total cost is $24. Find the cost for each pound of chocolate chips and each pound of walnuts.

Answers

Answer:

Chocolate Chips cost $2.25 and Walnuts cost $3.25 per pound each

Step-by-step explanatChocion:

Let x = cost of pounds of chocolate chip cookies and y = cost of pounds of walnuts.

From the question, we get 5x+3y = 21 and 2x+6y = 24. To solve the equation, we use substitution. From the first equation, we get y = (21-5x)/3. We substitute the y into the second equation to get 2x + 6(21-5x)/3 = 24. This turns out to be 2x+(42-10x) = 24. Adding like terms you should get 42-8x = 24. Solving for x, x = $2.25 per pound. Plugging this into the first equation, we get 5(2.25)+3y = 21. Solving for y, we get $3.25 per pound of walnuts. If we plug in the numbers into the 2 equations, we will get the right total.

Complete the proof of the Law of Sines/Cosines.

Given triangle ABC with altitude segment AD labeled x. Angles ADB and CDB are _____1._____ by the definition of altitudes, making triangle ABD and triangle BCD right triangles. Using the trigonometric ratios sine of B equals x over c and sine of C equals x over b. Multiplying to isolate x in both equations gives x = _____2._____ and x = b ⋅ sinC. We also know that x = x by the reflexive property. By the substitution property, _____3._____. Dividing each side of the equation by bc gives: sine of B over b equals sine of C over c.

Answer choices:

1. altitudes

2. b ⋅ sinB

3. b ⋅ sinB = c ⋅ sinC

1. right angles

2. b ⋅ sinB

3. b ⋅ sinB =c ⋅ sinB

1. altitudes

2. c ⋅ sinB

3. c ⋅ sinB = b ⋅ sinC

1. right angles

2. c ⋅ sinB

3. c ⋅ sinB = b ⋅ sinC

Answers

Corrected Question:

Complete the proof of the Law of Sines/Cosines.  

Given triangle ABC with altitude segment AD labeled x. Angles ADB and CDA are _____1._____ by the definition of altitudes, making triangle ABD and triangle ACD right triangles. Using the trigonometric ratios sine of B equals x over c and sine of C equals x over b. Multiplying to isolate x in both equations gives x = _____2._____ and x = b ⋅ sinC. We also know that x = x by the reflexive property. By the substitution property, _____3._____. Dividing each side of the equation by bc gives: sine of B over b equals sine of C over c.

Answer:

(1) right angles

(2) c sin B

(3) c sin B = b sin C

Step-by-step explanation:

As shown in the diagram attached to this response,

(i) the given triangle is ABC with altitude segment AD labeled as x,

(ii) side AB is labeled as c, side AC is labeled as b, and

(iii) angles ADB and CDA are right angles by definition of altitudes.

(iv) Therefore, triangle ABD and CDA are right-angled triangles.

(v) Now, using trigonometric ratios, sine of B equals x over c. i.e

sin B = [tex]\frac{x}{c}[/tex]          --------(i)

(vi) Also, sine of C equals x over b. i.e

sin C = [tex]\frac{x}{b}[/tex]         ------------(ii)

(vii) Multiplying to isolate x in both equations gives;

x = c sin B           [from equation (i)]           ------------(iii)

x = b sin C          [from equation (ii)]             -----------(iv)

(viii) We know that x = x by the reflective property. i.e x in equation (iii) is equal to x in equation (iv). By substitution property, this becomes,

c sin B = b sin C           -----------------(v)

(ix) Dividing each side of the equation in equation (v) by bc gives: sine of B over b equals sine of C over c i.e

[tex]\frac{csinB}{bc} = \frac{bsinC}{bc}[/tex]

[tex]\frac{sinB}{b} = \frac{sinC}{c}[/tex]             [This is the sine rule]

Other Questions
Brodrick Company expects to produce 21,400 units for the year ending December 31. A flexible budget for 21,400 units of production reflects sales of $470,800; variable costs of $64,200; and fixed costs of $141,000.If the company instead expects to produce and sell 27,000 units for the year, calculate the expected level of income from operation Answer is not complete. ---Flexible Budget--- ---Flexible Budget at--- Variable Amount Total Fixed 21,400 27,000 per Unit Cost units units Sales $ 22.00 $ 470,800 $ 594 000 Variable cos! 3.00 64,200 81,000 Contribution margin $ 1900 $ 406,600 $ 513.000Fixed costs 141,000Income from operations $ 406,600 $ 513,000 what are the coordinates of point b on ac such that ab=2/5ac 5 (u + 1) -7 = 33 (u - 1) + 2u write the expression in radical form. (88c)^2/3 How could the ocean be used as a metaphor for life or even medicine? The average weight of a person is 160.5 pounds with a standard deviation of 10.4 pounds. 1. What is the probability a person weighs more than 150.2 pounds Which of the following is the rule for rotating the point with coordinates (x,y), 180 clockwise about the origin? A. (x,y)(y,x) B. (x,y)(y,x) C. (x,y)(y,x) D. (x,y)(x,y) During the Gilded Age the US population rose where do scientist obtain primers to be used in pcr and in this technique Michael is on page 28 of a 315-page book. He must finish the book within the next 14 days. He solved the inequality 28+ 14p = 315 He did not use the correct value as the coefficient of p and should have solved 14 + 28p Tree diagram:Emily has a box with 4 different colored tiles: one red, one green, one blue and one yellow. If he draws one of the pieces without looking, what is the probability of drawing the green before the red? Decrivez votre ville [ 8 sentences ] (a) Solve the system of linear equations:x + y = 14X-y=6 Research and discuss the aurora borealis interms of electric charges, magnetic fields,and forces. Which times of the year are bestfor seeing the northern lights, and where arethe best places to view them? Explain youranswers. Also identify links to good images. Ifyou've ever seen the aurora borealis,describe your experience and note the timeand place that you saw it. NEED HELP ASAP Please!!!!! Boris is selling pirate hats. If he sells the hats for $50 he will sell 135 hats.For each increase in price of $2 he will sell 3 fewer hats.Determine the possible prices he could charge to earn $6486 or more. A coil of area 0.320 m2 is rotating at 100 rev/s with the axis of rotation perpendicular to a 0.430 T magnetic field. If the coil has 700 turns, what is the maximum emf generated in it If every point on a figure is moved 4 units to the left and up 6 units, which statement istrue about the transformed image? Recall that within the ArrayBoundedQueue the front variable and the rear variable hold the indices of the elements array where the current front and rear elements, respectively, of the queue are stored. Which of the following code sequences could be used to correctly enqueue element into the queue, assuming that enqueue is called on a non-full queue and that the code also correctly increments numElements?a. numElements++; elements[rear) - element: b. front++; elements(front) - element: c. rear = (rear + 1) % elements.length; elements[rear) - element; d. front = (front + 1) % elements.length; elements[front) - element; Use the Binomial Theorem to expand (3+2x)4