Write the equation of a circle with center (7, -12) and radius 9.

Answers

Answer 1

Answer:

( x-7)^2 + ( y+12) ^2 = 81

Step-by-step explanation:

The equation of a circle can be written in the form

( x-h)^2 + ( y-k) ^2 = r^2  where ( h,k) is the center and r is the radius

( x-7)^2 + ( y--12) ^2 = 9^2

( x-7)^2 + ( y+12) ^2 = 81

Answer 2

Answer:

(x - 7)² + (y + 12)² = 81

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 the radius

Here (h, k) = (7, - 12) and r = 9, thus

(x - 7)² + (y - (- 12))² = 9², that is

(x - 7)² + (y + 12)²= 81


Related Questions

Write the function in standard form.
Y=-4(x+2)(x+3)

Answers

Answer:

Below

Step-by-step explanation:

To write this function in the standard form simplify it.

● -4(x+2)(x+3)

● -4 (x^2+3x+2x+6)

●-4(x^2+5x+6)

●-4x^2-20x-24

Answer:

y = -4(x+2.5)²+1

Step-by-step explanation:

Standard form is given by f(x) = a(x-h)²+k, where (h,k) is the vertex. We are already given a = -4, and if we graph the equation given, we can see that the vertex is (-2.5, 1). So, we can set up the equation y = -4(x+2.5)²+1.

Suppose you took eight math tests this semester. If your average score on your first six tests was 84 and your average score on all eight tests was 86, then what was the average of your last two test scores? avamarie Apr 27, 2020

Answers

Answer: 92

Step-by-step explanation:

Formula : Sum of first n numbers = Average x n

Given: Average score on first 6 tests= 84

A score on all 8 tests = 86

Then, Sum of first 6 numbers = 84 x 6 = 504

Sum of first 8 numbers = 86 x 8 = 688

Sum of two last numbers = (Sum of first 8 numbers) - (Sum of first 6 numbers)

= 688-504

=184

Average of last two numbers = (Sum of two last numbers )÷2

= 184÷2

= 92

Hence,  the average of your last two test scores = 92.

Plz help if you have time too

Answers

Answer:

SL = KR

Step-by-step explanation:

We're given two different lengths, both of which are on other sides of KL. Now, since these two givens are congruent, and we're overlapping it over a new line, the lines SL and KR are going to be congruent.

HELP ME ASAP! BRAINLIEST UP FOR GRABS

Answers

Answer:

-5 ≤ x≤ 3

Step-by-step explanation:

The domain is the values for x

x starts and -5 and includes -5 since the circle is closed

and goes to 3 and  includes 3 since the circle is closed

-5 ≤ x≤ 3

Answer:

first option

Step-by-step explanation:

The domain are the values from the x- axis that can be input into the function.

The closed circles at the ends of the graph indicate that x can equal these values.

left side value of x = - 5 and right hand value of x = 3, thus

domain is - 5 ≤ x ≤ 3

At a birthday party, each child is given some chocolates. There are five 5-year-olds, five 6-year-olds and five 7-year-olds at the party. If each child receives three times as many chocolates as their age in years, how many chocolates are given out altogether?

Answers

Answer: 270 chocolates

Step-by-step explanation:

Given the following :

Number of 5-year Olds = 5

Number of 6-year Olds = 5

Number of 7-year Olds = 5

Number of chocolates received by each child = 3 times as many chocolate as their age.

Number of chocolates received by 5-year Olds = 3 × 5 = 15 chocolates

Number of chocolates received by 6-year Olds = 3 × 6 = 18 chocolates

Number of chocolates received by 7-year Olds = 3 × 7 = 21 chocolates

Total Number of chocolates received by 5-year Olds = 5 * 15 = 75 chocolates

Total Number of chocolates received by 6-year Olds = 5 * 18 = 90 chocolates

Total Number of chocolates received by 7-year Olds = 5 * 21 = 105 chocolates

Totak number of chocolates altogether :

(75 + 90 + 105) = 270 chocolates

A city park contain garden paths ( about 10% ) a lake ( about 15% ) and tennis courts. If the park is 2.4 ha and the tennis courts occupy a rectangular plot 60cm by 50cm how many hectares are left for garden?

Answers

Answer:

As i understand it:

The total park is 2.4 ha

10% of that is paths and 15% of that is a lake.

So a 10% + 15% = 25% is taken.

So we have left a 75% of the park, this is:

Left = (75%/100%)2.4 ha = 0.75*2.4ha = 1.8 ha.

Now we also need to subtract the are of the tennis court.

The tennis court occupies a rectangular plot of 60m by 50m (you actually wrote cm here, but i guess it was a mistake, we can not have a tennis court of 60cm by 50cm)

So the area of the tennis court is:

A = 60m*50m = 3,000 m^2

But we want to write it in ha

We know that:

1ha = 10,000m^2

then 3,000m^2 = (3,000/10,000) ha = 0.3 ha

Then the left area is:

L = 1.8 ha - 0.3ha = 1.5 ha.

Which of these shows the result of using the first equation to substitute for y
in the second equation, then combining like terms?
y = 2x
2x + 3y = 16
O A. 8x= 16
OB. 5x = 16
O C. 4x= 16
O D. 5y = 16

Answers

the answer is A
since 2x+3(2x)=16
Hence 8x=16

Answer:A

Step-by-step explanation:

BIG BRAIN

PLEASE SOMEONE HELP! Thanksss

Answers

Answer:

Ф=144

Ф =s/r ( Ф is the central angle,s is the arc length, r is the radius)

find r:

radius =circumference/2π=1/2π=0.16

Ф=(2/5) /(1/2π)=4π/5=144 degree (π=180)

Ф in degrees: 144 degrees

Please Answer its timed The dimensions of a rectangle are represented by the functions shown. g(x)+3x-4 f(x)=2x-9 Which function represents the area of the rectangle? 6x2 – 8x + 36 6x2 – 27x + 36 6x2 – 35x + 36 6x2 + 35x + 36

Answers

Answer:

[tex]\boxed{6x^2-35x+36}[/tex]

Step-by-step explanation:

The dimensions of the rectangle are represented by functions:

[tex]g(x)=3x-4 \\f(x)=2x-9[/tex]

The area is length × width of a rectangle.

[tex]length \times width[/tex]

[tex](3x-4)(2x-9)[/tex]

Expand brackets and solve.

[tex]6x^2-27x-8x+36[/tex]

[tex]6x^2-35x+36[/tex]

Answer:

6x squared - 35x + 36

Step-by-step explanation:

When you multiply the two functions together, this is what you get.

Um estudante fez algumas provas em seu curso e obteve as notas 13, 34, 45, 26, 19, 27, 50, 63, 81,76, 52, 86, 92 e 98 a sua nota média é:

Answers

Answer:

the mean is 54.428571428571<-------( what i think you are looking for )

the median is 51

the modes are 13, 19, 26, 27, 34, 45, 50, 52, 63, 76, 81, 86, 92, 98

Step-by-step explanation:

list all the numbers from greatest to least and the easiest way is to just cross them off left to right until you come up to one or two numbers. if one, that is your median. If two then add them up and divide them by two. We only had one, so the median is 51!

Hope this helped!

Answer:

53.14

Step-by-step explanation:

add all the numbers and divide it by 13

What is the value of s and what is the correct amount of units

Answers

Step-by-step explanation:

Here,

ABCD is rhombus,

AB=9s+29

CD =10s -18

now, AB=CD (opposite side of rhombus is parallel and equal)

or,9s +29=10s-18

or, 10s -9s= 29+18.

The value of s is 47.

Therefore, the measure of AB is 9×47+29.

=452.

Hope it helps...

Eiko is wearing a magic ring that increases the power of her healing spell by 30\%30%30, percent. Without the ring, her healing spell restores HHH health points. Which of the following expressions could represent how many health points the spell restores when Eiko is wearing the magic ring?

Answers

Answer:

Options B:  and C:

Step-by-step explanation:

Remember that 30% in fraction form is

The amount of health points (H) restored would depend on the amount of the current H so it means it would add 30% of the current which we can write as:

And since it would add that to the current total we can right the current total as:

So our equation would be:

For option B:

We can factor out the H and you will be left with:

Combine or add the fractions inside the parenthesis and you will have:

For option C:

We can simplify the fractions which will result in:

Then factor out the H and you will have:

Options B:  and C:

Step-by-step explanation:

Remember that 30% in fraction form is

The amount of health points (H) restored would depend on the amount of the current H so it means it would add 30% of the current which we can write as:

And since it would add that to the current total we can right the current total as:

So our equation would be:

For option B:

We can factor out the H and you will be left with:

Combine or add the fractions inside the parenthesis and you will have:

For option C:

We can simplify the fractions which will result in:

Then factor out the H and you will have:

HOPE I HELPED

PLS MARK BRAINLIEST

DESPERATELY TRYING TO LEVEL UP

             ✌ -ZYLYNN JADE ARDENNE

JUST A RANDOM GIRL WANTING TO HELP PEOPLE!

                                            PEACE!

WILL MARK BRAINLIEST!!!!!!!! :))))))))))))))))

Answers

Answer:

(A) No solution

(B) One solution

(C) One solution

(D) One solution

(E) No solution

Please tell me if this is incorrect. I hope this helps!

What is the probability that both of Eduardo's partners for the group project will be girls? StartFraction 9 Over 65 EndFraction StartFraction 24 Over 65 EndFraction StartFraction 64 Over 169 EndFraction StartFraction 128 Over 325 EndFraction

Answers

Answer:

StartFraction 24 Over 65 EndFraction

Step-by-step explanation:

Total number of students = 26

Number of boys = 10

Number of girls = 26-10

=16

Eduardo has to pull two names out of the hat without replacing them.

First name

Probability= Favourable outcome/Total outcome

Probability of girls=16

Total probability=26

Eduardo has to pull two names out of the hat without replacing them.

Probability= Favourable outcome/Total outcome

=16/26

=8/13

For the second name:

Without replacement of the first hat

Probability of girls=16-1=15

Total probability=26-1=25

Probability= Favourable outcome/Total outcome

=15/25

=3/5

Probability of both of Eduardo's partner for the group project will be girls=8/13*3/5

=24/65

StartFraction 24 Over 65 EndFraction

Answer:

B.) 24/65

Step-by-step explanation:

Took the test

HELP PLEASE !!!!
A
B
C
D
E
???​

Answers

Answer:

A is the answer

Step-by-step explanation:

first take out the common factors ithe numerator and then after that take the common factors of denominator and then common terms cancels off and 3/n will remain

Answer:

A

Step-by-step explanation:

Factorize.

(3m(2m² + n²)/(mn(2m² + n²))

Cancel common factor.

3m/mn

Simplify.

3/n

Determine the equation of a line that passes through the points: (3, 12) and (- 2, -13)

Answers

Answer:

Step-by-step explanation:

(-13-12)/(-2-3)= -25/-5= 5

y - 12 = 5(x - 3)

y - 12 = 5x - 15

y = 5x - 3

Which of the following is not an identity for tan (X/2)

Answers

Answer:

This question is about half-angle trigonometric identities, which are specific formulas that help us to solve problems with half-angles.

In this case, if you need a half-angle identity for the tangent, you could use

[tex]tan(\frac{x}{2} )=\frac{sin(x)}{1+cos(x)}[/tex]

[tex]tan(\frac{x}{2})=\frac{1-cos(x)}{sin(x)}[/tex]

[tex]tan(\frac{x}{2})=\sqrt{\frac{1-cos(x)}{1+cos(x)} }[/tex]

Therefore, the right identity must satisfy the expression above.

Answer:

In picture

Step-by-step explanation:

Two tangents. find x. angle measures and segment lengths. Acellus. PLEASE HELP!!!

Answers

Answer:

x=60

Step-by-step explanation:

x=1/2(240-120)

x=60

helllpp pleaseee.....​

Answers

Answer:

I hope its your required answer because 9.2 is smaller than 9.5.

i hope it works...

best of luck....

find the value of the variable and GH if H is between G and I. GI=5b+2,HI=4b-5, HI=3​

Answers

Answer:

GH = 9 units

Step-by-step explanation:

Given HI = 4b - 5 and HI 3, then

4b - 5 = 3 ( add 5 to both sides )

4b = 8 ( divide both sides by 4 )

b = 2

Thus

GI = 5b + 2 = 5(2) + 2 = 10 + 2 = 12

GH = GI - HI = 12 - 3 = 9

Tasha wants to find out if she is going to pass her test. She decides that she will
simulate her test by flipping a coin. This means
a) There is a 50-50 chance she will pass her test.
b) All of the questions are multiple choice.
c) She hasn't studied.
d) There is a 20% chance she will pass.

Answers

Answer:

A

Step-by-step explanation:

Since a coin only has two sides, the test must be referring to the fact that she has a 50, 50 shot at passing.

Determine the nature of the roots 4x^2 + 13x + 6 = 0​ a.no real solutions b.cannot be determined c.a unique real solution d.two distinct real solutions

Answers

Answer:

D

Step-by-step explanation:

Try factoring the equation

Answer:

D Edge 2020-2021

Step-by-step explanation:

I got it right on the quiz

Manuel y Rosa, desean hacer un regalo a sus tíos por Fiestas patrias, para lo cual visitaron distintos centros comerciales donde venden artículos o herramientas de carpintería. En uno de ellos, observaron que una caja de herramientas les costaba 180 soles. Al no contar con ese monto, decidieron volver la primera semana de Julio, después de juntar sus ahorros. Pero se dieron cuenta que el precio se había incrementado en un 10% . Al faltarles dinero, decidieron volver la siguiente semana, en la que observan que el precio de la caja de herramientas se había incrementado en un 20% del precio que observaron en la primera semana de Julio. Ellos cuentan con 250 soles. Manuel dice: "el precio se ha incrementado en 35% del precio del precio inicial pero nos alcanza y nos sobra 7 soles" A lo que Rosa dice: " no se ha incrementado en un 35% pero sí nos sobrarían 5 soles?

Answers

Answer:

El incremento total con respecto al precio inicial es de 32% y Rosa tiene razón con respecto al porcentaje (no se incrementó 35%).

En cuanto al dinero que les sobra, ninguno de ellos está en lo correcto pues les sobran 12 soles.

Step-by-step explanation:

En un principio, la caja de herramientas costaba 180 soles.

Después de una semana el precio se incrementó 10%, el 10% de 180 soles es 18 por lo que la caja costaba 180 + 18 = 198 soles.

Ellos volvieron la siguiente semana y vieron que el precio se había incrementado un 20% con respecto a la semana anterior, el 20% de 198 es igual a 198 x 0.20 = 39.6 por lo que el precio ahora era de 198 + 39.6 = 237.6 soles.

Para saber el incremento total con respecto al precio inicial podemos hacer una proporción:

180 soles : 100

237.6 soles : x

Despejando x tenemos que:

[tex]x= \frac{237.6(100)}{180}=\frac{23760}{180}=132[/tex]

Por lo tanto, el incremento total con respecto al precio inicial es de 32% y Rosa tiene razón con respecto al porcentaje (no se incrementó 35%)

Sin embargo, ellos cuentan con 250 soles y la caja cuesta 237.6 ≈238 soles, por lo tanto, les alcanza y les sobran 250 - 238 = 12 soles.

This a math question plz help asap with correct answer and explanation will give brainiest

Answers

Answer:

Hey there!

This is an isosceles triangle, so if one angle is 44 degrees, (2 times 22), then the remaining angles add to 136 degrees.

136/2=68, so each of the angles are  68 degrees.

Hope this helps :)

Answer:

C = 68

Step-by-step explanation:

Y = 22

Then A = 2y = 2*22 = 44

We know that A + B + C = 180

And B = C since the base angles of an isosceles triangle are the same

44 + C+C = 180

44+2C = 180

2C = 180-44

2C =136

C = 68

Hurry I need it now!
(04.01 MC)

Quadrilateral ABCD has coordinates. MA (3, 1), B (4, 4), C (7, 5), D (6, 2). Quadrilateral ABCD is?

Answers

Answer:

c

Step-by-step explanation:

i just took a test

What is the point of intersection when the system of equations below is graphed on the coordinate plane?

Answers

Answer: (-1,3)

Step-by-step explanation:

HELP!

Andrea has a $25 gift card
to a art store. She buys four canvases that are each the same price. If she now has $2.20 on her gift card, what was the price of each canvas?

Answers

Answer:

$5.70

Step-by-step explanation:

1. 25.00 - 2.20 = $22.80

2. 22.80 divided by 4 = $5.70

Answer:

$5.70

Step-by-step explanation:

let the price for each canvas be $x

hence the price of 4 canvases will be $4x

It is given that after she paid for 4 canvases, she had a balance of $2.20 on her orginally $25 gift card.

Hence we can assemble an equation:

$4x + $2.20 = $25

4x + 2.2 = 25   (subtract 2.2 from both sides)

4x = 25 - 2.2

4x =22.8  (divide both sides by 4)

x = 22.8 / 4

x = 5.7

Hence each canvas cost $5.70

Simplify 6c + 4d - c -7d

Answers

Answer:5c-3d

Step-by-step explanation: Collect the like terms such as 6c ,-c and 4d,-7d

Answer:

5c - 3d

Step-by-step explanation:

6c + 4d - c - 7d

Group like terms

6c - c + 4d - 7d

Add similar elements : 6c - c = 5c

5c + 4d - 7d

Add similar elements : 4d - 7d = - 3d

5c - 3d

I hope this helps

Please can someone help me

Answers

Answer:

a. 25%

b. 55%

c. 35%

Hope it helps you and pls mark as brainliest : )

a - b
b - d :
children is a little over half so 55% and the other half is 50/2 = 25 but the men is more

(5in.)(8 in.)
--------------
2

Answers

Answer:

20

Step-by-step explanation:

(8 * 5) / 2

=> 40/2

=> 20

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