find the the equations of the circle passing through (1, 4) and having the diameters of 3x-4y=1 and 2x+y=8?

Answers

Answer 1

Answer:

In order to write the equation of a circle, we need two things their centre as well as the radius. so….diameter always intersect each other at the centre of the circle, hence after solving the equation of diameter, we get the intersecting point(x, y)=(3,2). now, we have already given one point…and as per the question circle passing through that point itself. so by applying distance formula, we can obtain the value of radius. thus we get radius 2√2. now we have required things to get the equation of a circle. we know the standard equation of circle having centre =(x1,y1) and radius = r is (x-x1)²+(y-y1)²=r² hence we can find the equation of circle by putting the coordinate (x1,y1)=(3,2) and radius =2√2 in the above mentioned standard equation.

Step-by-step explanation:

:3


Related Questions

Tahap risiko unit amanah?​

Answers

Step-by-step explanation:

Tahap risiko unit amanah?

Hey if someone can help me I'd appreciate it please show your work.

Answers

Answer:

Step-by-step explanation:

Umm what is your question u did not add it?

1 1/3 x 1 2/3 please help

Answers

Answer:

_

6.1

Step-by-step explanation:

_

11/3 * 5/3 = 11·5/3·3 = 55/9 = 6.1

b. Write an equation of the line perpendicular to
x + 2y = 6 through (8,3).

Answers

Answer:

y = 2x + 13 or -2x + y = 13

Step-by-step explanation:

1) I would convert x + 2y = 6 to y-intercept/slope-intercept form...

2y = -x + 6 - > y = -1/2x + 3

2) The slope of the line is -1/2. Perpendicular lines have a negative reciprocal slope to the other line, so the slope is 2. Therefore your equation so far is...

y = 2x + b

3) The point that is given is (8, 3). This means that x = 8 and y = 3. Substitute that into the equation and solve for b (the y-intercept)

3 = 2(8) + b

3 = 16 + b

-13 = b

b = 13

4) Now, we know that b = 13 and the slope is 2. Therefore...

y = 2x + 13

Also note, if you want this equation in standard form, it would be...

-2x + y = 13

Evaluate each function for the given value of x, and write the input x and
output f(x) as an ordered pair.
18,20,22,24

Answers

Answer:

18) 3

20) -65

22) 12/5

24) -5/2

Step-by-step explanation:

18)  f(-5) = -[2(-5)+1] / 3

= -(-10+1)/3

= -(-9)/3

= 3

20) f(7) = -9(7)-2

= -63-2

= -65

22) f(-1) = -[(12 · -1)]÷5

= -(-12)÷5

= 12/5 or 2 2/5

24) f(9) = 2/9(9) - 9/2

= 2 - 9/2

= 4/2 - 9/2

= -5/2 or -2 1/2

please help!! thanks!

Answers

Answer:

A.) Yes

Step-by-step explanation:

Plug in (3,2) into both equations ....

2(3) - 3(2) = 0

2(3) + 2 = 8

Then solve ....

2(3) - 3(2) = 0

6 - 6 = 0

0 = 0

2(3) + 2 = 8

6 + 2 = 8

8 = 8

Since both equation are true the solution (3,2) is true

Complete the puzzle so that each row, column, and diagonal adds up to the same total.

Answers

Answer:

0 , 5

-1 , 1

-3

Step-by-step explanation:

Each row, column and diagonal adds up to 3 because of the column on the right.

The bottom row must add up to 3, so the blank there is -3.

The diagonal from the bottom left corner to the upper right corner also must add up to 3, so the blank in the middle is 1.

The column in the middle must add up to 3, so the blank at the top is 5.

The top row also must equal to 3, so the blank on the left is 0.

The left column also must equal to 3, so the last blank left is -1.

Pretty sure this is correct

In 1855, Louis Remme traveled from Sacramento, California, to Portland, Oregon, stopping to rest for only 10
hours of the 143 hours it took him to reach Portland. If his average speed while traveling without resting was 5
miles per hour, how many miles did Louis Remme travel?
A 665
B 705
C 715
D 765

Answers

Answer:

A. 665 miles

Step-by-step explanation:

Time in travel:

143 - 10 = 133 hrs

Average speed is 5 mph

Distance travelled:

d = std = 5*133 = 665 miles

Correct choice is A

Total time taken

143-10133hrs

Distance

Speed×Time133(5)665mi

Option A

easy one for you folks.​

Answers

Answer:

2/5

Step-by-step explanation:

Six out of 15 are full.

[tex]\dfrac{6}{15}=\dfrac{2*3}{5*3}=\dfrac{2}{5}[/tex]

Which graph represents x ≥ 2?

Answers

Answer:

...

Step-by-step explanation:

Antoin has 17.5 kilograms of clay. He divides it evenly into buckets that hold 2.5 kilograms. How many buckets of clay will he have?​

Answers

Answer:

7 buckets.

Step-by-step explanation:

17.5 / 2.5 = 7

Answer:

7

Step-by-step explanation:

17.5/2.5=7

a(-3)=5 What will a equal

Answers

Answer:

a = - 5/3

Step-by-step explanation:

Which expression has an equivalent value to x2 + 9x + 8 for all values of x?

(x + 1)(x + 8)
(x + 2)(x + 6)
(x + 4)(x + 4)
(x + 5)(x + 4)

Answers

(2x+1)(2x+8) —> (2x+1)(x+4)

solve 3/4x-5=x
Give your answer correct to 2 decimal places

Answers

Answer:

x=1.69 or x=-0.44

Step-by-step explanation:

1) multiply both sides by 4x-5 to give 3=x(4x-5)

expand this ------>3=4x^2 - 5x

2) bring the 3 on the other side by subtracting 3

4x^2 - 5x - 3 = 0

3)use quadratic formula where a is 4, b is -5 and c is -3

[tex] \frac{ - b + or \: - \sqrt{b {}^{2} - 4ac} }{2a} [/tex]

[tex] \frac{ - ( - 5) + \sqrt{(5) {}^{2} - 4(4)( - 3)} }{2 \times 4} = \: 1.69[/tex]

[tex] \frac{ - ( - 5) - \sqrt{(5) {}^{2} - 4(4)( - 3)} }{2 \times 4} = - 0.44[/tex]

The value of x in the equation 3 / 4x - 5 = x is -20.

What is the equation?

An assertion that two mathematical expressions have equal values is known as an equation. An equation simply states that two things are equal. The equal to sign, or "=," is used to indicate it.

Given:

3 / 4x - 5 = x

Solve the above equation as shown below,

x = 3 / 4x - 5

x - 3 / 4 x = -5   (Transform the variable on the left side and constant on the right side)

4x - 3x / 4 = -5

x / 4 = -5

x = 4 × (-5)

x = -20

Thus, the value of x is -20.

To know more about equation:

https://brainly.com/question/12788590

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A simple random sample of 40 salaries of NCAA football coaches has a mean of $415,953. Assume that σ = $463,364. Construct a 95% confidence interval estimate of the mean salary of an NCAA football coach.

$346,352 < μ < $485,554

$295,433 < μ < $536,473

$272,355 < μ < $559,551

$415,952 < μ < $415,954

Answers

Answer:

ci = [271,953 , 559,953]

Step-by-step explanation:

x = mean: $415953

z = 95% : z value of 95% is 1.960

s = standard deviation = $463364

n = number of observations: 40

X +- Z * S/sqrt N

415953 + - 1.96 * 463364/sqrt40

= 415953 + - 144000

[271,953 , 559,953]

Answer:

$272,355 <μ< $559,551

Step-by-step explanation:

Gradpoint

Please help! Will mark brainliest.
Convert into an exponential expression.

Answers

Answer:

Step-by-step explanation:

5√7²=5√49=9.8

what is the value of a rectangular prism with a length of 2x, a width of x-2, and a height of x+2?

Answers

Answer:

what do you mean by x?

Step-by-step explanation:

a hockey team earns 2 points for a win,1 point for a tie, and 0 points for a loss. the number of points earned can be calculated using this formula
P = 2x + y where P = number of points
x = number of wins
y = number of ties
How many points would a team earn if they played 52 games, won 24 and lost 19?

Answers

Answer: 57

Step-by-step explanation: First add the won and lost games then subtract the sum from the total games played to determine how many games were tied. Then take the won games and multiply them by 2, take the tied games, and add them together to get your answer: 57.

Help meeeeeeeeeeee PLS ASAP

Answers

Answer:

A

Step-by-step explanation:

Answer:

angle 1 and angle 5

Step-by-step explanation:

for what value of the variable will the expression 8b-27

-11

Answers

Answer:

b=2

Step-by-step explanation:

What is the y-coordinate of the y-intercept of function d(x) ? y=-8(X-(5/2) (X+3)

Answers

Answer:

(0,60)

Step-by-step explanation:

I hope I plugged in your equation the right way as you typed it, but this is where the line meets the y coordinate, (0,60)

I'll mark brainliest if your right! please help me!!!!

Answers

Answer:

its 3 and 5

Step-by-step explanation:

i know this because i took the quiz and its simple

find the area of the largest square that can be cut from a circle of radius 18

Answers

Answer:

approx 161.3 square units

Step-by-step explanation:

the circle can contain 4 isosceles triangles with legs equal to 9 and hypotenuse equal to approximately 12.7

these four triangles would produce a square with sides of 12.7 units

so area would be 12.7² or approx 161.3 square units

The nth term of a sequence is 3n² Work out the value of the 15th term.​

Answers

Answer:

a₁₅ = 675

Step-by-step explanation:

Substitute n = 15 into the nth term formula

a₁₅ = 3(15)² = 3 × 225 = 675

2H20 1) How many hydrogen atoms are represented by this much water? A) 1 B) 2 0.4 D) 6​

Answers

Answer is B)2
2 hydrogen atom in the water molecule
H2O

PART C
What should the height of a can of fruit juice used as a prop be if its actual
height is 7 inches? Show your work.

Answers

Answer:

15 in i am guessing

Step-by-step explanation:

i need to know the height of the can first

The height of a can of fruit juice used as a prop, if its actual height is 7 inches, should be of 3.85 inches.

What is a proportional relationship?

A proportional relationship is a linear function that has an intercept of zero and hence it has the output variable y as the multiplication of the input variable x and the constant of proportionality k, as follows:y = kx.

Given that, the input and the output variables in this problem are as follows:

Input variable: Actual height = 80 in

Output variable: Height on set = 44 in

k = 44/80

k = 0.55.

Therefore, the equation is:

y = 0.55x.

Then the height on the set when the actual height is of 7 inches is given by:

y = 0.55(7) = 3.85 inches.

More can be learned about proportional relationships at brainly.com/question/10424180

#SPJ1

Thank you to anyone who can help!!

Answers

Answer:

Pentagon (the 5 sided shape) = 1

Cross-looking shape = 6

Star = 8

Square/Rectangle = 5

Hope this helps!

For this question, I'd want some assistance. Thank you very much. Have a wonderful day!

Answers

Answer:

can u take pic again?

Step-by-step explanation:

John bought a full 1 liter bottle of soda. He drank half of it. How many milliliters of soda does John have left?

Answers

Answer:

500 ml

Step-by-step explanation:

1 liter = 1 000 ml

1 / 2 liters = 1000 ml /2 = 500 ml

1000ml - 500 ml = 500 ml

13
n is a positive whole number.
(a) What type of positive whole number is 2n - 1?
(1)
(6) Write down an expression for the nth multiple of 5
(1)
Alan has 4 boxes of cakes.
There is the same number of cakes in each box.
Alan has a total of t cakes.
(c) Write down an expression, in terms of t, for the number of cakes in each box.
(1)

Answers

Answer:

use the Microsoft world language to define noun phrases and figure of speech

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