find the equation of the circle that has a diameter with endpoints located at (-5 -3) and (-11 -3)

Find The Equation Of The Circle That Has A Diameter With Endpoints Located At (-5 -3) And (-11 -3)

Answers

Answer 1

Answer: Option C

The equation is:

[tex](x+8)^2 +(y+3)^2=9[/tex]

Step-by-step explanation:

First we must calculate the midpoint between the two given points.

Then the midpoint will be the radius of the circumference

The midpoint between two points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] is:

[tex](\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})[/tex]

In this case the points are:

(-5 -3) and (-11 -3)

The the center is:

[tex](\frac{-5-11}{2}, \frac{-3-3}{2})[/tex]

[tex](-8,\ -3)[/tex]

Then the equation is:

[tex](x+8)^2 +(y+3)^2=r^2[/tex]

To find r we substitute one of the points in the equation and solve for r

[tex](-5+8)^2 +(-3+3)^2=r^2[/tex]

[tex](3)^2 +0=r^2[/tex]

[tex]r^2 =3^2[/tex]

[tex]r =3[/tex]

Finally the equation is:

[tex](x+8)^2 +(y+3)^2=9[/tex]

Answer 2

Answer:

Option C

Step-by-step explanation:

The standard form of equation of circle is:

(x-h)^2+ (y-k)^2=r^2

As we only know two points on the circle which are the ends of diameter.

As we know

Radius=Diameter/2

We have to find the length of diameter using the distance formula first to calculate radius. So,

Diameter= √((-11-(+5))^2+(-3-(-3)^2 )

= √((-11+5)^2+(-3+3)^2 )

=√((-6)^2+(0)^2 )

= √36

=6

Now,  

Radius=6/2

=3

As the diameter passes through centre, so the mid-point of diameter will be centre of the circle:

Mid-point=((x_1+x_2)/2,(y_1+y_2)/2)

=((-5-11)/2,(-3-3)/2)

=((-16)/2,(-6)/2)

=(-8,-3)

Putting the values of radius and centre in standard form

(x-h)^2+ (y-k)^2=r^2

(x-(-8))^2+ (y-(-3))^2=3^2

(x+8)^2+ (y+3)^2=9

So the correct answer is option C ..


Related Questions

My paychecks gross pay came to 663.87 for the week. If 20% is taken out for taxes how much is my net pay

Answers

Answer:

Final Price: 531.10

Discount: 132.77

Step-by-step explanation:

663.87 is 100%

? is 20%

?=20•663.87/100~$132.77 taxes

Net pay= 663.87-132.77=$531.1

3.5d + 6.25 = 1 + 5.25d

The solution is d =

Answers

Answer:

d = 3

Step-by-step explanation:

3.5d + 6.25 = 1 + 5.25d

5.25d - 3.5d = 6.25 - 1

1.75d = 5.25

d = 5.25 ÷ 1.75 = 3

help me with this i suck at mathematical reasoing

Answers

Answer:

6

Step-by-step explanation:

The formula of an area of a rectangle:

[tex]A_r=lw[/tex]

l - length

w - width

We have l = 12 in and w = 8 in.

Substitute:

[tex]A_r=(12)(8)=96\ in^2[/tex]

The formula of an area of a triangle:

[tex]A_t=\dfrac{bh}{2}[/tex]

b - base

h - altitutde

We have b = 32 in and A - 96 in².

Substitute:

[tex]\dfrac{32h}{2}=96[/tex]

[tex]16h=96[/tex]          divide both sides by 16

[tex]h=6\ in[/tex]

The tree diagram below shows the possible combinations of juice and snack that can be offered at the school fair.


How many different combinations are modeled by the diagram?

Answers

Answer:

B) 8

Step-by-step explanation:

To count the number of possibilities on a tree diagram, all you need to do is count the total number of "branches" at the end of the "tree". Here, that is 8. Also, if the tree gets too big, you can multiply the number of combinations in the first sector, then the second, and so on. So, that will be 4 * 2 = 8.

Answer:

B). 8

Step-by-step explanation:

i go this right on my quiz if u want proof scroll down

I really hope this helps someone! have a great day!!

Bradley dropped a ball from a roof 16feet high. Each time the ball hits the ground it bounces 3/5 the previous height. Find the height ball will bounce after hitting the ground the fourth time

Answers

Answer: 2.0736 ft

Step-by-step explanation:

Bounce 1: 16*3/5=9.6

Bounce 2: 9.6*3/5=5.76

Bounce 3: 5.76*3/5=3.456

Bounce 4: 3.456*3/5=2.0736

Answer:

The ball will bounce to 2.07 feet after 4th drop.

Step-by-step explanation:

Bradley dropped a ball from a roof 16 feet high. So, its the initial height.

Each time the ball hits the ground it bounces 3/5 the previous height.

Means after 1st drop, the ball will again rise to [tex]\frac{3}{5}\times16= 9.6[/tex] feet.

Similarly after 2nd drop, it will bounce to  [tex]\frac{3}{5}\times9.6=5.76[/tex]

After 3rd drop, it will bounce to [tex]\frac{3}{5}\times5.76=3.456[/tex] feet

After 4th drop, it will bounce to [tex]\frac{3}{5}\times3.456=2.0736[/tex] feet

Hence, the ball will bounce to 2.07 feet after 4th drop.

The definition of a circle uses what undefined term

Answers

Answer:

The definition of a circle uses the undefined term is plane then the undefined term can contain parallel lines is plane and. The definition of an angle uses the undefined term is point likewise there are 3 possible geometry will fall.

Hope I helped

Step-by-step explanation:

A jacket was $50 and is now on sale for $35. What is the percent change in the cost?

Answers

from 50 to 35 is 15, so it went down by $15.

if we take 50 to be the 100%, what is 15 off of it in percentage?

[tex]\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 50&100\\ 15&x \end{array}\implies \cfrac{50}{15}=\cfrac{100}{x}\implies \cfrac{10}{3}=\cfrac{100}{x}\implies 10x=300 \\\\\\ x=\cfrac{300}{10}\implies x=30[/tex]

Answer:

-30%

Step-by-step explanation:

The decrease in price was $15.

Divide $15 by $50, obtaining 0.30, which in turn is mult. by 100%.

The percentage change, from $50 to $35, was -30%.

PLEASE HELP & SHOW WORK , ITS URGENT
it’s appreciated <3 !!

Answers

see if u understand the answer

Answer:

C

Step-by-step explanation:

The circumference (C) of a circle is calculated using

C= 2πr ← r is the radius and has to be found

Given C = 20π , then

2πr = 20π ( divide both sides by 2π )

r = [tex]\frac{20\pi }{2\pi }[/tex] = 10

The area (A) of a circle is calculated using the formula

A = πr² = π × 10² = 100π m² → C

I need to find the volume of a nose cone.

The cylinder has a height of 6ft and a diameter of 8ft. the formula for volume is πrrh

The cone has the same dimensions. the formula is πrrh÷2.

Answers

well then, the volume of the nose cone will just be the sum of the volume of the cylinder below and the cone above.

since the diameter for both is 8, then their radius is half that, or 4.

[tex]\bf \stackrel{\textit{volume of a cone}}{V=\cfrac{\pi r^2 h}{3}}~~ \begin{cases} r=radius\\ h=height\\ \cline{1-1} r=4\\ h=6 \end{cases}\implies V=\cfrac{\pi (4)^2(6)}{3}\implies V=32\pi \\\\\\ \stackrel{\textit{volume of a cylinder}}{V=\pi r^2 h}~~ \begin{cases} r=radius\\ h=height\\ \cline{1-1} r=4\\ h=6 \end{cases}\implies V=\pi (4)^2(6)\implies V=96\pi \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{volume of the nose cone}}{32\pi +96\pi \implies 128\pi }\qquad \approx \qquad 402.12[/tex]

7. length of a soccer field
is it meters or kilometers

Answers

Answer:

The answer would be Meters.

Step-by-step explanation:

The length of the soccer field is measured in Meters.

There are units to measure everything. Like length is measured in units of millimeter, centimeter, meter, kilometer etc, weight is measured in milligram, gram, kilogram, etc, height is measured in inches, feet, etc.

A soccer field is the ground on which soccer is played. This field is measured in meters. The soccer field has different dimensions. There are standard touch lines, goal lines. Touch lines and goal lines dimensions are different for international play. These lines or dimensions are measured in meters.

What are the solutions for x when y is equal to 0 in the following quadratic
function?
y = x² + 10x – 24
OA) X= -4 or x = -6
OB) x = -6 or x = 4
OC) x = -2 or x = 12
OD) x = -12 or x = 2
O E) no real solutions​

Answers

Answer:

D) x = -12 or x = 2

Step-by-step explanation:

The given quadratic equation is:

[tex]y=x^2+10x-24[/tex]

When y=0, we obtain:

[tex]x^2+10x-24=0[/tex]

We split the middle term with -2, 12 because their product is is -24 and their sum is 10.

[tex]x^2-2x+12x-24=0[/tex]

We factor by grouping to obtain:

[tex]x(x-2)+12(x-2)=0[/tex]

[tex](x-2)(x+12)=0[/tex]

Either [tex](x-2)=0[/tex] or [tex](x+12)=0[/tex]

Either [tex]x=2[/tex] or [tex]x=-12[/tex]

the vector u is graphed. which of the vectors below would be orthogonal to vector u?

Answers

ANSWER

[tex]< \frac{1}{5} , - \frac{1}{3} \: >[/tex]

EXPLANATION

The given vector , u has the following components,

[tex]u = < \: - 5 , - 3 \: > [/tex]

If two vectors are orthogonal, then their dot product is zero.

[tex]< \: - 5 , - 3 \: > \bullet < \: \frac{1}{5} , - \frac{1}{3} \: > = - 5 \times \frac{1}{5} \times - 3 \times - \frac{1}{3} = - 1 + 1 = 0[/tex]

Hence,the vector

[tex] < \frac{1}{5} , - \frac{1}{3} \: >[/tex]

is orthogonal to vector u.

write 8.54 x 10 to the 3rd power in standard notation​

Answers

Answer:

= 8.54 × 101

(scientific notation)

= 8.54e1

(scientific e notation)

= 85.4 × 100

(engineering notation)

(one)

= 85.4

(real number)

Which set of the side lenths form a right triangle?

Answers

Answer:

15m, 20m, 25m

Step-by-step explanation:

If for x ≤ y < z

x² + y² = z²

then x, y and z form a right triangle.

1 .

15m, 20m, 25m

15² + 20² = 225 + 400 = 625

25² = 625

CORRECT :)

2.

3ft, 6ft, 5ft

3² + 5² = 9 + 25 = 34

6² = 36

34 ≠ 36

3.

10in, 41in, 40in

10² + 40² = 100 + 1600 = 1700

41² = 1681

1700 ≠ 1681

4.

7cm, 8cm, 10cm

7² + 8² = 49 + 64 = 113

10² = 100

113 ≠ 100

Given FGE, find m=HFE if m=G - 65°
A. 25°
B. 50°
C. 60°
D. 65°​

Answers

Answer:

The correct answer is option A.   25°

Step-by-step explanation:

From the figure we can see an isosceles triangle. FGE

<G = 65° (given)

m<G = m<E = 65°

To find the value of m<HFE

Consider the triangle FHE in the figure we get,

m<E +  m<HFE + m<FHE  = 180

m<HFE = 180 - (m<E + m<FHE)

 = 180 - (65 + 90) = 25°

Therefore m<HFE = 25°

The correct answer is option A.   25°

The correct answer is option A. 25°

2. Find the area and circumference of the circle to the right.
16.6 m

Answers

Answer:

AREA:

[tex]A=216.42m^2[/tex]

CIRCUMFERENCE:

[tex]C=52.15m[/tex]

Step-by-step explanation:

The formula that is used to calculate the area of a circle is:

[tex]A=\pi r^2[/tex]

Where "r" is the radius of the circle.

The formula for calculate the circumference of a circle is:

[tex]C=2\pi r[/tex]

Where "r" is the radius of the circle.

Then, you need to find the radius. This is:

[tex]r=\frac{16.6m}{2}=8.3m[/tex]

Substituting the radius, you get that the area and the circumference are:

AREA:

[tex]A=\pi (8.3m)^2=216.42m^2[/tex]

CIRCUMFERENCE:

 [tex]C=2\pi (8.3m)=52.15m[/tex]

Answer with step-by-step explanation:

We are given a circle which is divided into two halves and has a diameter of 16.6 meter. We are to find the area and circumference of the circle to the right.

It means that our radius will be the half of the given diameter.

Radius = 16.6/2 = 8.3 m

Area = [tex]\pi r^2[/tex] = [tex]\frac{\pi \times (8.3)^2}{2}[/tex] = 216.4 m^2

Circumference = [tex]2 \pi r[/tex] = [tex]2 \times \pi \times 8.3[/tex] = 52.2 m

Which function is increasing?
A. f(x) =(1/4) ^x
B. f(x) =(1/4) ^x
C. f(x) = 4^x
D. f(x) = (0.4)^x

Answers

Answer:

f(x) = 4^x

Step-by-step explanation:

In f(x) = (1/4)^x, 1/4 is equal to 0.25, which is less than 1, so its decreasing

In f(x) = 4^x, 4 is greater than 1, so its increasing

In f(x) = (0.4)^x, 0.4 is less than 1, so its decreasing

This is why f(x) = 4^x is the correct answer

I hope this helps!

Find the area of the parallelogram. Please need help very badly.

Answers

Answer:

A = bh

A = 15(8)

A = 120 square centimeters

Jessica is going to a vegetable shop. She buys some lady fingers for $23, some potatoes for $30,
and a bag of tomatoes for $16. Now she has $20 left. How much money did she have to begin
with?

Answers

Answer:

$89

Step-by-step explanation:

add all the numbers together

graph the line y=-3x

Answers

Answer:

Step-by-step explanation:

Graph y = -3x.  Start at the origin (0, 0).  Place a dark dot there.  Now, starting with your pencil point on that dot, move 1 space to the right and from this new point move 3 spaces down.  Place a dark dot at this new point.

Now draw a straight line through both dark dots.  This is the desired graph.

Step-by-step explanation: Let's graph the equation y = -3x using its slope and y-intercept. The problem here is that our equation doesn't match up quite so well with the formula y = mx + b

Our slope or m which is represented by the coefficient of the x-term is clearly -3. However, you might be asking what is our y-intercept or b. Well, y = -3x can be thought of as y = -3x + 0. So you can now see that our b or y-intercept equals 0.

To graph the line, we start with the y-intercept. So our first point is a 0 on the y-axis and we call that point A. When the slope is a integer, you can change it to a fraction by putting it over 1. So our slope of -3 can be thought of as -3/1.

From point A, we would go down 3 units and over 1 unit to plot point B. Now we can connect points A and B like I did in the picture and we have our line.

(Very easy) Find the surface area of this figure

Answers

The surface area of the two triangles is 12 cm^2.

3*4=12

The surface area of the bottom rectangle is 8 cm^2.

4*2=8

The surface area of the rectangle that is on the left side of the figure is 6 cm^2.

3*2=6

The surface area of the rectangle that is on the top side of the figure is 10 cm^2.

To find the third side of the triangle, use the Pythagorean theorem.

3^2+4^2=h^2

9+16=25

The third side of the triangle is 5 cm.

The surface area of the whole figure is 36 cm^2.

12+8+6+10=36

Which statements are true? Check all that apply.
The circumscribed angle L has a measure of 49°.
The circumscribed angle L has a measure of 65.5°.
If the measure of arc HJ is 98°, the measure of angle HMJ is 98°.
If the measure of arc HJ is 98°, the measure of angle HKJ is 98°.
If the measure of arc HJ is 98°, the measure of arc HK is 131°.

Answers

The circumscribed angle L has a measure of 49°.

If the measure of arc HJ is 98°, the measure of angle HMJ is 98°.

If the measure of arc HJ is 98°, the measure of arc HK is 131°.

Answer:

True, 1, 3, 5

Step-by-step explanation:

1. Angle L is sircumsribed angle, thenMJ⊥JL and MK⊥KL, so the measure of the angle L is

360°-131°-90°-90°=49° (the sum of all interior angles in the quadrilateral is 360°)

True

2. False, because m∠L=49°.

3. If the measure of arc HJ is 98°, then the measure of the central angle HMJ is 98°.

True

4. If the measure of arc HJ is 98°, then the measure of the central angle HMJ is 98° and the meausre of inscribed angle HKJ subtended on the arc HJ is half of the central angle measure and is equal to 49°.

False

5. If the measure of arc HJ is 98°, then the measure of the arc HK is

360°-131°-98°=131°

True

Use the properties of exponents to solve for the each variable.

Answers

a=8+2=10; b=4•5=20; c=6-2=4

Answer:

a=10

b=20

c=4

Step-by-step explanation:

A pair of sneakers cost $75. This is $15 less than the cost of a pair of jeans. Write an equation that someone could use to find the amount of money that the jeans cost.

Answers

15+75=J.

So the jeans should be $90

Answer-

add 15 from 75 then that is it

75+15=90

The following set of coordinates represent which figure?(7,10) (4,7) (6,5) (9,8)

Answers

Answer: i think a diamond

Step-by-step explanation:

Let's assume these are the vertices in order and calculated the squared lengths of the sides.  Let's calculate the vector for each side, which is the difference of the endpoints:

(7,10) - (4,7) = (3, 3)

(4,7) - (6,5) =(-2, 2)

(6,5) - (9,8) = (-3, -3)

(9,8) - (7,10) = (2, -2)

We see the pattern: (3,3) = -(-3,-3) and (-2,2) = -(2,-2)

We have two pairs of opposite vectors so we have a parallelogram.

Let's check the dot product of adjacent sides:

(3,3) . (-2, 2) = 3(-2) + 3(2) = 0

Zero dot product, we have perpendicularity. A parallelogram with one right angle is a

Answer: Rectangle

The adjacent sides are clearly not congruent  so it's not a square

.

Find the slope of the line whose equation is 2x - 3y + 6 = 0.
2/3
-2/3
-2

Answers

The slope would be the first one, 2/3. Hope this helps! Please mark brainliest! :) Thanks v much! :)

Answer:

2/3

Step-by-step explanation:

WILL MARK BRAINLIEST!
If the circle graph represents the responses from 500 people, how many more people prefer burgers than cheeseburgers?

subs-10%

Tacos-10%

Chicken-10%

Pizza-30%

burger-25%

Cheeseburgers-15%


125

75

50

25

Answers

Answer:

50

Step-by-step explanation:

[tex]500 \div 100 \times 25 = 125[/tex]

[tex]500 \div 100 \times 15 = 75[/tex]

[tex]125 - 75 = 50[/tex]

50. From 500 people, 25% that prefer burger represent 125 people and 15% that prefer cheeseburger represent 75. This mean there are 50 more people that prefer burgers than cheeseburgers.

The key to solve this problem is by direct rule of three, we will place the 3 values (which we will call “a”, “b”, and “c”) and the unknown value that we want to figure out (“x”) to apply the formula:

a -----------> b

c -----------> x

[tex]x=\frac{b.c}{a}[/tex]

The circle graph represents the responses from 500 people in percentage.

To calculate the amount of people that prefer burgers:

If 100% ----------------> 500 people

    25% ----------------> x

[tex]x=\frac{(500)(25)}{100}= 125[/tex] which means 125 people prefer burgers

To calculate the amount of people that prefer cheeseburgers:

If 100% ----------------> 500 people

    15% ----------------> x

[tex]x=\frac{(500)(15)}{100}= 75[/tex] which means 75 people prefer cheeseburgers.

In order to know how many more people prefer burgers than cheeseburgers, let's apply the difference between people who prefer burgers and people who prefer cheeseburgers:

125 - 75 = 50 which mean 50 more people prefer burgers than cheeseburgers.

X represents the # of trees. Y represents the height. How many 150
Answers

105

50

30

80

Answers

Answer: 30

Step-by-step explanation:

PLEASE HELP!!
If the circle graph below represents the responses from 350 people, how many people chose silver as their favorite car color?

Black-25%

White-10%

Silver-10%

Yellow-5%

Red-50%

350

10

35

100

Answers

For this you have to make two proportions that are [tex]\frac{part}{whole}[/tex] and set them equal to each other.

The first proportion represents the percent of people who like silver as their favorite car color

Since this is a circle graph the whole will always be 100 because percents are always taken out of 100

The part would be 10 because only 10% out of the 100% like silver

The second proportion is the people that represent the response.

350 would be the whole because that is the total amount of people surveyed

The part is unknown and what you are solving for.

Here is how the proportion should look like:

[tex]\frac{10}{100} = \frac{x}{350}[/tex]

Cross multiply (If you don't know what this is look at the image below to see my work)

The cross multiplication will give you:

3500 = 100x

Isolate x by dividing 100 to both sides

3500/100 = 100x/100

35 = x

This means that 35 people out of the 350 surveyed like silver cars

Hope this helped!

Answer:

If the circle graph below represents the responses from 350 people, how many people chose silver as their favorite car color?

100

35

10

350

Step-by-step explanation:

D. is right plz put me Brainliest plz  

Write an equation for each translation of .

5.5 units right



y = | x | – 5.5


y = | x + 5.5 |


y = | x | + 5.5


y = | x – 5.5 |

Answers

Answer:

C is the answer i did this before!

Step-by-step explanation:

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