A circle is centered at the point (5,-4) and passes through the point (-3, 2). what is the equation of this circle?

Answers

Answer 1

Answer:

(x-5)² + (y+4)² = 100

Step-by-step explanation:

The formula for calculating the equation of a circle is expressed as;

(x-a)² + (y-b)² = r² where:

(a,b) is the centre of the circle

r is the radius

Get the radius using the distance formula;

r = √(2-(-4))²+(-3-5)²

r = √6²+(-8)²

r = √36+64

r =√100

r² = 100

Since a = 5 and b = -4, on substituting into the formula;

(x-5)² + (y+4)² = 100

This gives the required equation

Answer 2

Answer:

(x-5)² + (y+4)² = 100

Step-by-step explanation:

Just got it correct on Edmentum test.


Related Questions


Find the value of x for which pll q.

Answers

Answer:

D) 9

Step-by-step explanation:

These angles are equal to each other because they’re alternate interior angles so:

9x + 8 = 15x - 46

9x - 15x = -46 - 8

-6x = -54

x = 9

Determine the period

Answers

Answer:

16 units

Step-by-step explanation:

period = length of an interval that contains exactly one copy of the repeating pattern, so from one peak to another peak.

in this graph its the peaks are 1 and 17, hence the period is 16

Geometry I need help someone help me

Answers

Answer:

fohohcoufohohcouvhop

Step-by-step explanation:

typing mistake sorry

[tex]\\ \sf\longmapsto x+73=90[/tex]

[tex]\\ \sf\longmapsto x=90-73[/tex]

[tex]\\ \sf\longmapsto x=17[/tex]

Why?

Sum of two complementary angles is 90°

Help me quick i need helppp

Answers

[tex]\\ \sf\longmapsto (m-8)+(m-8)+(m-8)+(m-8)+(m-8)+(m-8)=12[/tex]

[tex]\\ \sf\longmapsto 6(m-8)=12[/tex]

[tex]\\ \sf\longmapsto 6m-48=12[/tex]

[tex]\\ \sf\longmapsto 6m=12+48[/tex]

[tex]\\ \sf\longmapsto 6m=60[/tex]

[tex]\\ \sf\longmapsto m=\dfrac{60}{6}[/tex]

[tex]\\ \sf\longmapsto m=10[/tex]

Answer:

M=14

Step-by-step explanation:

First make an equation - m÷6 =8Then shift 6 to 8 - m=6×8Answer - m=14

Which polynomial is a binomial?

Answers

A is a binomial since it has only 2 values

Find the values of the missing sides. You must use exact answers! PLEASE HURRY AND HELP

Answers

Answer:

x=4sqrt3 a=4 b=3  ,y=8sqrt3 c=8 d=3

Step-by-step explanation:

because this is a 30-60-90 triangle, it is easy to find the side lengths. the longer leg is sqrt(3) times the shorter leg so x= 12/sqrt(3) or 4sqrt(3). the hypotenuse is 2 times the shorter leg so y= 8sqrt(3)

Condition for increasing decreasing and concavity of function

Answers

Answer:

If the concavity of f changes at a point (c,f(c)), then f′ is changing from increasing to decreasing (or, decreasing to increasing) at x=c. That means that the sign of f″ is changing from positive to negative (or, negative to positive) at x=c. This leads to the following theorem

Step-by-step explanation:

The previous section showed how the first derivative of a function,  f′ , can relay important information about  f . We now apply the same technique to  f′  itself, and learn what this tells us about  f . The key to studying  f′  is to consider its derivative, namely  f′′ , which is the second derivative of  f . When  f′′>0 ,  f′  is increasing. When  f′′<0 ,  f′  is decreasing.  f′  has relative maxima and minima where  f′′=0  or is undefined. This section explores how knowing information about  f′′

Let  f  be differentiable on an interval  I . The graph of  f  is concave up on  I  if  f′  is increasing. The graph of  f  is concave down on  I  if  f′  is decreasing. If  f′  is constant then the graph of  f  is said to have no concavity.

Note: We often state that " f  is concave up" instead of "the graph of  f  is concave up" for simplicity.

The graph of a function  f  is concave up when  f′  is increasing. That means as one looks at a concave up graph from left to right, the slopes of the tangent lines will be increasing. Consider Figure  3.4.1 , where a concave up graph is shown along with some tangent lines. Notice how the tangent line on the left is steep, downward, corresponding to a small value of  f′ . On the right, the tangent line is steep, upward, corresponding to a large value of  f′ .

Please help me solve this question!

Answers

I hope you get right answer.

hlpppppppppppppppppppppppppppppppp

Answers

Answer:

c

Step-by-step explanation:

-7.5 is less than 6.5

pls help me asap !!!!

Answers

Answer:

9--7

Step-by-step explanation:

Answer:

distance = √74

Step-by-step explanation:

d = √((x2 - x1)²+(y2 - y1)²)

Where the first point = (x1, y1) and the second point = (x2, y2)

First point: (2, -2)

Second point: (7, -9)

Step 1. Plug these points into the formula

d = √((7 - 2)² + (-9 - -2)²)

Step 2. Subtract

d=√(( 5 )² + ( -7 )²)

Step 3. Simplify the exponents

d=√(25) + (49)

Step 4. Add

d=√74


3+3+3+3+3+3+3+333333

Answers

Answer:

333354

Step-by-step explanation:

Simplify the expression.

Answer:

333,354

Step-by-step explanation:

First, we add the 3's. And get 21.

333,333 + 21 = 333,354

What is the shaded area of the figure?

Answers

Answer:

Step-by-step explanation:

The idea here is to find the area of the circle and then subtract from it the area of the triangle. That will give you the area of what's left in the circle (the shaded part). The area of a circle is:

[tex]A_c=\pi r^2[/tex] so

[tex]A_c=(3.14)(12.4)^2[/tex]   where 12.4 is the radius.

[tex]A_c=482.81[/tex] rounded to the nearest tenth. I used 3.14 for pi.

Now for the area of the triangle. The formula is

[tex]A_t=\frac{1}{2}bh[/tex] where h is the height of 12.4 and the base is the diameter which is 12.4 * 2 = 24.8

[tex]A_t=\frac{1}{2}(24.8)(12.4)[/tex] so

[tex]A_t=153.76[/tex]

Now subtract the triangle's area from the circle's area:

482.81 - 153.76 = 329.05 mm²

I need help please ASAP Ik how to do it its easy but I wanna make sure so please help

Answers

Step-by-step explanation:

Answer in attached picture...

hope it helps

Classify the polygon as regular or irregular, and concave or convex.

Answers

Answer:

This would be a regular polygon.

Step-by-step explanation:

A regular polygon has congruent sides and interior angles.

An irregular polygon does not have congruent sides and all interior angles.

A convex polygon does not have a interior angle greater than 180°.

Lastly, a concave polygon has only one interior angle greater than 180°.

Using the process of elimination, it would not be a convex or concave polygon. Now we have either a regular or irregular polygon. This polygon can not be a irregular polygon because all the sides are congruent. This means that this polygon is a regular polygon!

The given polygon is a regular convex polygon.

What is a polygon ?

In geometry, a polygon is a plane figure that is described by a finite number of straight line segments connected to form a closed polygonal chain (or polygonal circuit). The bounded plane region, the bounding circuit, or the two together, may be called a polygon.

The segments of a polygonal circuit are called its edges or sides. The points where two edges meet are the polygon's vertices or corners. The interior of a solid polygon is sometimes called its body.

Given,

Polygon has 8 edges and 8 vertices.

1. Regular or Irregular:

A regular polygon has congruent sides and interior angles.

In the figure all sides are of equal length and the angle are same so, It is a regular polygon.

2. Convex or concave:

Convex polygon has all interior angles less than 180° while in concave polygon at least one interior angle should be greater than 180°.

In the given polygon all angles are less than 180°, so it is a convex polygon.

Hence, by the above explanation, the given polygon is regular convex polygon.

Learn more about polygons here:

https://brainly.com/question/24464711

#SPJ2

a random number generator is used to model the patters of animals in the wild. this type of study is called

Answers

Answer:

This type of study is called a simulation

Step-by-step explanation:

Step by step expressing

What is the result of substituting for y in the bottom equation?
y=x-7
y=2+2x-4

Answers

Answer:

Plug x-7 in for y, in the bottom equation.

x - 7 = 2 + 2x - 4

x - 7 = 2x - 2

x = 2x + 5

-x = 5

x = -5

answer please lol so uh yeah

Answers

The answer would be option A. If you substitute x for 4 that would be 5(4) which equals 20! you’re welcome

Answer:

5x=20

5x/5=20/5

x=4

Step-by-step explanation:

substitute the 5x

divide both sides by 5 it will be 20 divide by 5

answer is x =4

Solve the equation by completing the square.

Answers

Solve the equation by completing the square.

Which statement is true about the polynomial
–10m4n3 + 8m2n6 + 3m4n3 – 2m2n6 – 6m2n6 after it has been fully simplified?

It is a monomial with a degree of 4.
It is a monomial with a degree of 7.
It is a binomial with a degree of 6.
It is a binomial with a degree of 8.

Answers

Answer:

–10m4n3 + 8m2n6 + 3m4n3 – 2m2n6 – 6m2n6 = -7m4n3

⇒It is a monomial with a degree of 7 is correct

Step-by-step explanation:

With the aid of an illustrative example, discuss the relationship between the area of a region and the definite integral. *​

Answers

Suppose there is a function f(x), the definite integral of the function is the difference between the upper and lower x-values.

There are three relationships between the definite integral and the area of the region. The relationships are:

Positive functionNegative functionRegion between two functions

Positive function

The area between the function itself and the x-axis represents the definite integral.

Negative function

The area between the function itself and the x-axis, multiplied by -1 represents the definite integral.

Region between two functions

The definite integral of the function is the difference between the region of both functions.

See attachment for further illustration

Learn more about area of a region and the definite integral at:

https://brainly.com/question/3471148

a ceartain trigangle has to 45 degree angles . what type of triangle is it

Answers

An isosceles right triangles

Answer:

Either a 45°-45°-90° triangle or an isosceles right triangle depending on the question

Step-by-step explanation:

A triangle that has two 45° angles always has a third angle of 90° making it a 45-45-90 as well as a right triangle.

Please help solve for x

Answers

Answer:

8.49

Step-by-step explanation:

there is a little formula related to the famous formula of Pythagoras.

it says that the height of a triangle is the square root of the product of both segments of the baseline (the segments the height splits the baseline into).

so, x is actuality the height of the triangle.

x = sqrt(3×24) = sqrt(72) = 8.49

There were 642 students enrolled in a freshman-level chemistry class. By the end of the semester, the number of students who passed was 5 times the number of students who failed. Find the number of students who passed and the number who failed.

Answers

Answer:

535 students passed and 107 students failed

Step-by-step explanation:

Create a system of equations where p is the number of students who passed and f is the number of students who failed:

p + f = 642

p = 5f

Solve by substitution by plugging in 5f as p into the first equation, then solving for f:

p + f = 642

5f + f = 642

6f = 642

f = 107

So, 107 students failed.

Find how many students passed by multiplying this by 5:

107(5)

= 535

535 students passed and 107 students failed.

Will Mark Brainnlest Please help me​

Answers

Answer:

l = 2, m = - 1, n = - 6

Step-by-step explanation:

A scalar matrix has its diagonal elements equal and all other elements zero, so

2l - 4 = 0 ( add 4 to both sides )

2l = 4 ( divide both sides by 2 )

l = 2

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

3l + n = 0

3(2) + n = 0

6 + n = 0 ( subtract 6 from both sides )

n = - 6

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

3m - n = 3

3m - (- 6) = 3

3m + 6 = 3 ( subtract 6 from both sides )

3m = - 3 ( divide both sides by m )

m = - 1

Given 4 points A, B, C, D where no 3 points are collinear, any 2 points have a distance greater than 10. Prove that there exist two points out of 4 given points with greater distance 14.

Answers

Answer:

idea how to tell your loved one how you feel? How about a love song?

Calculus!

The volume of a substance, A, measured in cubic centimeters increases according to the exponential growth model dA/dt = 0.3A, where t is measured in hours. The volume of another substance, B, also measured in cubic centimeters increases at a constant rate of 1 cm^3 per hour according to the linear model dB/dt = 1. At t = 0, substance A has a volume A(0) = 3 and substance B has size B(0) = 5. At what time will both substances have the same volume?

Would it be correct to write the growth model of substance B as x + 5? And how could I write the growth model of substance A? Thank you in advance, and sorry for the poor formatting.

Answers

Answer:

The two substances will have the same volume after approximately 3.453 hours.

Step-by-step explanation:

The volume of substance A (measured in cubic centimeters) increases at a rate represented by the equation:

[tex]\displaystyle \frac{dA}{dt} = 0.3 A[/tex]

Where t is measured in hours.

And substance B is represented by the equation:

[tex]\displaystyle \frac{dB}{dt} = 1[/tex]

We are also given that at t = 0, A(0) = 3 and B(0) = 5.

And we want to find the time(s) t for which both A and B will have the same volume.  

You are correct in that B(t) is indeed t + 5. The trick here is to multiply both sides by dt. This yields:

[tex]\displaystyle dB = 1 dt[/tex]

Now, we can take the integral of both sides:

[tex]\displaystyle \int 1 \, dB = \int 1 \, dt[/tex]

Integrate. Remember the constant of integration!

[tex]\displaystyle B(t) = t + C[/tex]

Since B(0) = 5:

[tex]\displaystyle B(0) = 5 = (0) + C \Rightarrow C = 5[/tex]

Hence:

[tex]B(t) = t + 5[/tex]

We can apply the same method to substance A. This yields:

[tex]\displaystyle dA = 0.3A \, dt[/tex]

We will have to divide both sides by A:

[tex]\displaystyle \frac{1}{A}\, dA = 0.3\, dt[/tex]

Now, we can take the integral of both sides:

[tex]\displaystyle \int \frac{1}{A} \, dA = \int 0.3\, dt[/tex]

Integrate:

[tex]\displaystyle \ln|A| = 0.3 t + C[/tex]

Raise both sides to e:

[tex]\displaystyle e^{\ln |A|} = e^{0.3t + C}[/tex]

Simplify:

[tex]\displaystyle |A| = e^{0.3t} \cdot e^C = Ce^{0.3t}[/tex]

Note that since C is an arbitrary constant, e raised to C will also be an arbitrary constant.

By definition:

[tex]\displaystyle A(t) = \pm C e^{0.3t} = Ce^{0.3t}[/tex]

Since A(0) = 3:

[tex]\displaystyle A(0) = 3 = Ce^{0.3(0)} \Rightarrow C = 3[/tex]

Therefore, the growth model of substance A is:

[tex]A(t) = 3e^{0.3t}[/tex]

To find the time(s) for which both substances will have the same volume, we can set the two functions equal to each other:

[tex]\displaystyle A(t) = B(t)[/tex]

Substitute:

[tex]\displaystyle 3e^{0.3t} = t + 5[/tex]

Using a graphing calculator, we can see that the intersect twice: at t ≈ -4.131 and again at t ≈ 3.453.

Since time cannot be negative, we can ignore the first solution.

In conclusion, the two substances will have the same volume after approximately 3.453 hours.

2t(t-1)-t+1 factorise​

Answers

Answer:

this is the answer of this question

hoping it will help u

Help me ? :( no spam or

Answers

tan30=1/√3tan60=√3

Now

[tex]\\ \sf\longmapsto tan(\alpha+\beta)=\sqrt{3}[/tex]

[tex]\\ \sf\longmapsto \alpha+\beta=60\dots(1)[/tex]

And

[tex]\\ \sf\longmapsto tan(\alpha-\beta)=\dfrac{1}{\sqrt{3}}[/tex]

[tex]\\ \sf\longmapsto \alpha-\beta=30\dots(2)[/tex]

Adding both

[tex]\\ \sf\longmapsto 2\alpha=30+60=90[/tex]

[tex]\\ \sf\longmapsto sin2\alpha=sin90[/tex]

[tex]\\ \sf\longmapsto sin2\alpha=1[/tex]

What is 55 increased by 10%?

Answers

Answer:

10% of 55

=> 10/100 × 55

=> 1/10×55

=> 5.5

55 increased by 10% => 55 + 5.5

=> 60.5

hope that helps ✌

Answer:

Step-by-step explanation:

10% of 55

10/100*55

1/10*55

5.5 <--- That is 10% of 55

55+5.5 = 60.5

which exponential expression is equivalent to​

Answers

Answer:

B

Step-by-step explanation:

(y^(4))^(1/5)=y^(4/5)

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