The endpoints of a
diameter of a circle are (2,
4) and (-4, 7). What is the
standard form of the
equation
of this circle?

I know one of the answer is not c

Hurry i got like 30 mins left and a girl is tired

The Endpoints Of Adiameter Of A Circle Are (2,4) And (-4, 7). What Is Thestandard Form Of Theequationof

Answers

Answer 1

Answer:

2nd option

Step-by-step explanation:

the equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r is the radius

the centre is at the midpoint of the endpoints of the diameter.

The coordinates of the centre is the average of the coordinates of the endpoints.

centre = ( [tex]\frac{-4+2}{2}[/tex], [tex]\frac{7-1}{2}[/tex] ) = ([tex]\frac{-2}{2}[/tex] , [tex]\frac{6}{2}[/tex] ) = (- 1, 3 )

the radius is the distance from the centre to either of the endpoints

using the distance formula to calculate r

r = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2[/tex]

with (x₁, y₁ ) = (- 1, 3 ) and (x₂, y₂ ) = (2, - 1 )

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

  = [tex]\sqrt{(2+1)^2+(-4)^2}[/tex]

  = [tex]\sqrt{3^2+16}[/tex]

  = [tex]\sqrt{9+16}[/tex]

  = [tex]\sqrt{25}[/tex]

   = 5

then equation of circle is

(x - (- 1) )² + (y - 3)² = 5² , that is

(x + 1)² + (y - 3)² = 25


Related Questions

Debbie's Cupcakes recently sold 3 vanilla cupcakes and 3 other cupcakes. What is the experimental probability that the next cupcake sold will be a vanilla cupcake?
Write your answer as a fraction or whole number.
P(vanilla cupcake)=

Answers

Answer:

P(vanilla cupcake)= 1/2

Step-by-step explanation:

Knowing that:

3 vanilla cupcakes

3 other cupcakes

Total = 6

To Find:

What is the experimental probability that the next cupcake sold will be a vanilla cupcake?

Write your answer as a fraction or whole number.

P(vanilla cupcake)=

Solve:

Experimental probability is expressed as:

(Favorable outcomes) / (Total outcomes)

The favorable outcome in this situation is vanilla cupcakes. There were 3 vanilla cupcake sold, so this is the numerator of our fraction.

To find the total outcomes we add 3 + 3, which equals 6. This will be the denominator of our fraction.

The fraction used to express experimental probability will be: 3/6

We can further simplify this to 1/2.

Thus:

P(vanilla cupcake)= 1/2 or 3/6

Kavinsky

22
Liam is trying to remember a 3-digit code.
He knows the rule that
the first digit is a cube number
the second digit is a factor of 16
the third digit is an odd number.
Liam tries at random a code that matches the rule.
Work out the probability that this is the correct code.
[4 marks]

Answers

The first digit may be 1 or 8.

The second digit may be 1, 2, 4, 8.

The third digit may be 1, 3, 5, 7, 9.

There are [tex]2\times4\times5=40\:variants[/tex]

The probability that this is the correct code is [tex]\frac{1}{40}[/tex]

1/40 is the probability that this is the correct code.

What is Probability?

It is a branch of mathematics that deals with the occurrence of a random event.

Given that Liam is trying to remember a 3-digit code.

the first digit is a cube number so the first digit may be 1 or 8.

the second digit is a factor of 16.

The factor of 16 are 1, 2, 4 , 8.

Third digit is an odd number so the third digit may be 1, 3, 5, 7, 9.

There are 2×4×5 possibilities of Liam code.

40 possibilities

the probability that this is the correct code is 1/40

Hence, 1/40 is the probability that this is the correct code.

To learn more on probability click:

https://brainly.com/question/11234923

#SPJ2

If y varies directly with x and y is 12 when x is 9, what is x when y is 4?

Answers

Answer:

3

Step-by-step explanation:

y/x=12/9=4/3

when y is 4 x is 3

Haha please help i don't know what I'm doing

Answers

Answer:

(5x+1)(x+7)

Step-by-step explanation:

4x^2+26x+6+x^2+10x

5x^2+36x+7

(5x+1)(x+7)

Prove

5x*x + 5x*7 + 1*x + 1*7

= 5x^2 + 35x + x + 7

= 5x^2 + 36x + 7

The circumference of a circle is 20pi in. What is the area, in square inches? Express
your answer in terms of Pi

Answers

Answer:

10.14π

Step-by-step explanation:

First we have to work backwards. We know the forumla for circumference is pi x diameter. So we have to work backwards. 20 divided by pi is 6.37. So thats our diameter. Now that we that we can put it into our forumla for area. A= π x R^2.

The raidus is half of the diamater so 6.37/2. Which equals 3.185. Now we that into our formula. A= π x 3.185^2. Now we keep simplyifying the equation. 3.185^2=10.14. So now we have A=10.14π

Your medical research team is investigating the standard deviation of the cost of a 30-day-supply of a certain heart medication. A pharmaceutical company thinks that the standard deviation of the cost is less than $23. You want to support this claim. How would you write the null and alternative hypothesis?

Answers

Considering the situation described, the hypothesis tested are given as follows:

The null hypothesis is [tex]H_0: \sigma \geq 23[/tex]The alternative hypothesis is [tex]H_1: \sigma < 23[/tex]

What are the hypothesis tested?

At the null hypothesis, it is tested if the standard deviation is not less than $23, that is:

[tex]H_0: \sigma \geq 23[/tex]

At the alternative hypothesis, it is tested if there is significant evidence t conclude that the standard deviation is less than $23, that is:

[tex]H_1: \sigma < 23[/tex]

More can be learned about an hypothesis test at https://brainly.com/question/26454209

If 10^2y = 25, then 10^-y equals:
(a) -1/5,
(b) 1/625,
(c) 1/50,
(d) 1/25,
(e) 1/5​

Answers

solution:

[tex] {10}^{2y} = 25[/tex]

[tex] {(10)}^{y2} = {5}^{2} [/tex]

[tex] {10}^{y} = 5[/tex]

[tex] \frac{1}{10 {y} } = \frac{1}{5} [/tex]

[tex] {10}^{ - y} = \frac{1}{5} [/tex]

answer= option e.

Answer
(e) 1/5

Explanation
5^2=5*5=25

Which will have a negative number?
A)
(-3)(-9)

B)
(-6)(4)

C
-4 --5

D)
-7+9

Answers

Answer:

B

Step-by-step explanation:

A: 27

C: 1

D: 2

B: -24

anytime you multiply two negative numbers it makes the product positive

Please help!! Due in 15 minutes!!
Q.1. Which point is a solution to the system below?
y ≤ -2/3x - 4
y ≥ 1/5x - 3
A. (0, 3)
B. (-4, -2.5)
C. (-5, 0)
D. (-2, -4)

Q.2. Which point is a solution to the system of inequalities below?
A. (4, -9)
B. (2, -10)
C. all real numbers on y < -4x - 2
D. There is no solution to this system of inequalities

Q.3. Which statement is true about the system of inequalities below?
y ≤ 3x + 6
y > - x
I. The intersection point (-1.5, 1.5) is a solution to the system
II. The point (0, 0) is a solution to the system
III. The point (5, 5) is a solution to the system
IV. The point (-1, 6) is a solution to the system
A. I only
B. I and II only
C. III and IV only
D. III only

Answers

Answer:

aaaaaaaaaaaaaaaaa

Step-by-step explanation:

how do geometric functions differ from algebraic functions?

Answers

Answer:

happy to explain

Step-by-step explanation:

Algebra is an area in mathematics that uses variables, in the forms of letters and symbols, to act as numbers or quantities in equations and formulas. Geometry is an area in mathematics that studies points, lines, varied-dimensional objects and shapes, surfaces, and solids

11 Describe how the numbers-7-and-7 would be positioned relative to each
other on a horizontal number line.
Select one answer.
A The number-7 would be positioned to the left of -7 on a horizontal
number line because -7<-7.
B The number - 7 would be positioned to the left of -7 on a horizontal
number line because
use -7/>-7.
C The number - 7 would be positioned to the right of -7 on a horizontal
number line because -2
-7/1/2<-7.
D The number - 7 would be positioned to the right of -7 on a horizontal
number line because -7> -7.

Answers

Step-by-step explanation:

you have to be careful with the precise notation of terms and expressions.

you keep using only -7 for everything.

i suspect you mean 7 and -7, right ?

if that is correct, then just remember this :

on a number line the positive values are on the right, and the negative values on the left.

in fact, the further right you go, the larger the number gets. and the further left you go, the smaller (or lower) the number gets.

e.g. -7 is smaller than -6.

and so, -7 would be to the left of 7, because -7 < 7.

or vice versa :

7 would be to the right of -7, because 7 > -7

PLEASE HELP NEED NOW!!
Jayden has a bag that contains pineapple chews, strawberry chews, and lime chews.
He performs an experiment. Jayden randomly removes a chew from the bag, records
the result, and returns the chew to the bag. Jayden performs the experiment 41 times.
The results are shown below:
A pineapple chew was selected 31 times.
A strawberry chew was selected 4 times.
A lime chew was selected 6 times.
Based on these results, express the probability that the next chew Jayden removes
from the bag will be strawberry chew as a fraction in simplest form.
Answer:
Submit Answer
attempt 2 out of 2

Answers

Answer:

4/41

Step-by-step explanation:

The history museum is hosting a special exhibition on history of flight. The admission ticket for each adult costs $7 and the admission
ticket for each child costs $2. On the opening day of the exhibition, 40 tickets were sold for a total of $180. How many adults visited the
special exhibition?

Answers

Answer:

Use simultaneous equation for this problem

y= number of adults

x = number of children

3y + 2x = 160

y + x = 60

then we double the second equation

3y + 2x = 160

2y + 2x = 120

we cancel x by elimination

3y - 2y = 160 - 120

y = 40

Step-by-step explanation:

hope this helps

What is the area of the following triangle?

Answers

Answer:

150in²

Step-by-step explanation:

area of traingle = (base x height)/2

here base = 25in and height = 12in

therefore area = (25 x 12)/2

150in²

Answer:

150in2

Step-by-step explanation:

The Formula is A= 1/2 bh

You multiply 25 x 12

300

Then you divide it by 2

What is the simplified expression for
44.4°?
49
40
41
42
43

Answers

Answer:

[tex]4^2[/tex]

Step-by-step explanation:

[tex]\dfrac{4^4 \cdot 4^3}{4^5}\\\\\\=\dfrac{4^{4+3}}{4^5}\\\\\\=\dfrac{4^{7}}{4^5}\\\\\\=4^{7-5}\\\\\\=4^2[/tex]

Answer:

4^2

Step-by-step explanation:

4^4*4^3=4^7

4^7/4^5=4^2

Which value is not a solution of the inequality 2 - 4 > 2?
Ox= 10
x = 6
o
Ox=4
O2 = 14
21

Answers

The inequality x -4 > 2 uses a greater than symbol

All numbers lesser or equal to 6 are not a solution of the inequality x -4 > 2

How to determine the value not in the solution?

The inequality is given as:

x -4 > 2

Add 4 to both sides of the inequality

x - 4 + 4 > 2 + 4

Evaluate the sum

x > 6

The above means that only numbers greater than 6 are in the solution of the inequality.

Since the options are not given, I will give a general solution that all numbers lesser or equal to 6 are not a solution of the inequality x -4 > 2

Read more about inequality at:

https://brainly.com/question/11234618

How can you find the maximum or minimum value of the quadratic function?
A. Evaluate the function for x = 0. The resulting value is the maximum or the minimum value.
B. Find the vertex. The y-coordinate of the vertex is the minimum or the maximum value of the parabola.
C. Find the y-intercept. The y-intercept is the maximum or the minimum value of the parabola.
D. Find the vertex. The x-coordinate of the vertex is the minimum or the maximum value of the parabola​

Answers

Answer:

B

Step-by-step explanation:

the y-coordinate of the vertex will be the max or min value of the quadratic function

hope this helps!

If the eqn is negative then it will be a maximum value but when the eqn is positive the curve will be a minimum curve

How do I convert the letter in an answered equation into a number, for example the answer 8.50246E6

Answers

Answer:

1Step-by-step explanation:

1 + IS 1 AND ITS 1

Answer:

See below

Step-by-step explanation:

E means exponent of 10

8.50246E6   means   8.50246 x 10^6   = 8502460

HERES A HARD ONE, is Annie ok?

Answers

Answer:

Her mistake is that she should plot the point (0, 5) first, not (1, -3)

Step-by-step explanation:

First I simplified the equation given.

y - 3 = 2 (x + 1)

y - 3 = 2x + 2

  +3         +3

y = 2x + 5

Since 5 is our y-intercept we would want to graph that first, which would be (0, 5) as a point.

Hope this helps!

which situation is the best for the equation 3x=288

Answers

Answer:

The situation best for the equation 3x=288 Is by dividing both sides by the coefficient of x to single out the variable

Step-by-step explanation:

=> 3x/3=288/3

=> x = 96

Step-by-step explanation:

Step 1:  Determine a situation best for the equation

We walk into the store and see an amazing drone and the store has 3 of them.  The total price for them is 288 dollars.  Determine the individual price of each drone.

Hope this helps!

If x = 10, which equation is true?


A 3 ( 20 - x) = 44

B3 ( 12 - x ) = 6

C2 x + 3 = 25

D2 x - 3 = 22

Answers

Answer:

B

Step-by-step explanation:

[tex]3(12-10)=3\cdot 2 = 6[/tex]

Many manufacturers reduce the size of their products to appear to reduce their prices.

The amount of cereal in a particular brand box was reduced by 2.1 ounces. This is a 14% reduction from the original amount. What was the original amount?

The original amount was
ounces.

Answers

Answer:

2.44 ounces

Step-by-step explanation:

100% - 14% = 86%

2.1 ÷ 0.86 = 2.44  

Please help. Will mark brainlyest!

Answers

Answer:

last one

Step-by-step explanation:

Answer:

(-3,-2)

Step-by-step explanation:

(x,y)

Which shape will result from taking a cross section of the tetrahedron through the points shown?

triangle
square
trapezoid
pentagon

Answers

Answer:

the anwer is a triangle as it is shown below.

A triangle has a base of x^1/2 m and a height if x^3/4 m. If the area of the triangle is 16m^2, what are the base and height of the triangle?

Answers

Answer:

Base = 4 m

Height = 8 m

Step-by-step explanation:

For triangle:

[tex]Base\: (b) = x^{\frac{1}{2}}\: m\\\\Height \:(h) = x^{\frac{3}{4}}\: m\\\\ A(\triangle)= 16\:m^2\\\\A(\triangle)= {\frac{1}{2}}(b)(h)\\\\\implies 16=\frac{1}{2}(x^{\frac{1}{2}})(x^{\frac{3}{4}})\\\\\implies 32= (x^{\frac{2}{4}})(x^{\frac{3}{4}})\\\\\implies 2^5=x^{\frac{3+2}{4}}\\\\\implies 2^5=x^{\frac{5}{4}}\\\\\implies 2=x^{\frac{1}{4}}\\\\\implies 2^4=x\\\\\implies x=16\:m[/tex]

[tex]Base\: (b) = x^{\frac{1}{2}}={16}^{\frac{1}{2}}={(4^2)}^{\frac{1}{2}}=4\: m[/tex]

[tex] Height\: (h) = x^{\frac{3}{4}}={16}^{\frac{3}{4}}={(2^4)}^{\frac{3}{4}}=(2)^3=8\: m[/tex]

PLEASE HELP!!!
If f(x) = -2x^2 + x - 5, what is f(3)?

Answers

Answer:

f(3) = -10

Step-by-step explanation:

Given

f(x) = -2x² + x - 5

Solving

To find f(3), substitute x = 3 in the function⇒ f(3) = -2(3)² + (3) + 5⇒ f(3) = -2(9) + 8⇒ f(3) = -18 + 8⇒ f(3) = -10

Answer:

f(3) = 6

Step-by-step explanation:

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

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

f(3) = 8 + 3 - 5

f(3) = 11-5

f(3) = 6

Where is the blue dot on the number line?

Answers

the blue dot on the number of line is -11.3

Answer:

-11.3

Step-by-step explanation:

Each jump/line is 0.1

As we can see the blue dot is 3 lines from -11 and 2 lines from -11.5 so our answer will be -11 + -0.3 and -11.5 - (-0.2)

-11 + -0.3 = -11.3

-11.5 - (-0.2) = -11.5 + 0.2 = -11.3

Hope this helps and brainliest please

EASY 9th GRADE MATH PLEASE HELP

Two thirds of a number is twice the number decreased by twenty-four. Write an equation and solve for the number.

Answers

Step-by-step explanation:

2/3 X = 2x -24

now just solve for X.

2X = 8X - 72

-6x = -72

X = 12

Which Line is Perpendicular to y= -1/4x - 8?
A) y=-4x+5
B) y=-1/4x-3
C) y=1/4x
D) y=4x+2

Answers

Answer:

D

Step-by-step explanation:

For two lines to be perpendicular, their gradients must have a product of -1The only one that fits this is D

Answer:

D

Step-by-step explanation:

The product of the slope of the perpendicular lines are -1

y = -1/4x - 8

Slope = -1/4

D) y = 4x + 2

Slope = 4

[tex]4 * \dfrac{-1}{4}=-1[/tex]

Which relation is a function?

Answers

Answer:

The bottom left one

Step-by-step explanation:

They are the only graph that has one output for each x value

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