Write your answers using set notation.

Answer:

a

Step-by-step explanation:

General equation of a circle : [tex](x-h)^2+(y-k)^2=r^2[/tex]

where (h,k) is at center and r = radius

Here, we want to find the equation of a circle with a given center at (3,4) and a given radius of 6

This is very simple, all we have to do is assign variables and then plug in the values of the variables into the general equation of a circle

First lets assign variables.

(h,k) is center and the circle has a given center at (3,4)

so (h,k) = (3,4) thus, h = 3 and k = 4

r = radius and the circle has a given radius of 6 so r = 6

now we plug this into the general equation of a circle.

recall equation : (x-h)² + (y-k)² = r²

h = 3, k = 4 and r = 6

plug in values

(x-3)² + (y-4)² = 6²

simplify exponent

(x-3)² + (y-4)² = 36

and we are done!

The answer is A

Hiya! :D

My name is Violet, and I will be helping you on your question!

[tex]\sf{7j \: + 3 \: - 4j \: + \: 9}[/tex]

[tex]\sf{Group \: like \: terms:}[/tex]

[tex]\sf{= 7j \: - 4j \: + \: 3 \: + \: 9}[/tex]

[tex]\sf{Add \: the \: numbers:}~ 3 \: + \: 9 \: = 12}[/tex]

[tex]\sf{= 7j \: - \: 4j \: + \: 12}[/tex]

[tex]\sf{Add \: similar \: elements:}~ 7j \: - 4j \: = \: 3j}[/tex]

[tex]\sf{= 3j \: + \: 12}[/tex]

Hope It Helps ! ^-^

#LearnWithBrainly

[tex]\underline{Answer :}[/tex]

[tex]\huge \pmb {\frak{Violet}}[/tex]

Answer:

16

Step-by-step explanation:

Since, x=3, y=-2, z=-1

We can Substitute:

3(3)-4(-2) + -1

9 -4(-2)+-1

9 + 8 + -1

17 - 1

16

~Lenvy~

We see that 24 is split into 8q.

Therefore 8q equals 24 --> 8q = 24 --> q = 24/8 = 3.

So q = 3.

Hope it helped!

Answer:

3/7

Step-by-step explanation:

Because there are three yellow marbles and 7 marbles in all

Answer:

......... hope it helps.........

Answer:

607.8

Step-by-step explanation:

just use your calculator 3647 divided by 6 and you get that answer

Answer:

230

[tex]We\ know\ that:[/tex]

[tex]\left\{\begin{matrix}R=5\ percent\\P=200\\T=3\\\end{matrix}\right.[/tex]

Formulate and substitute:

[tex]Substitute\left\{\begin{matrix}R=5\ percent\\P=200\\T=3\\\end{matrix}\right.into\ formula\\ F=P+prt\\ F=200+200rt[/tex]

Calculate

[tex]200\times (1+3\times 0.05)[/tex]

Calculate the product or quotient

[tex]200\times (1+0.15)[/tex]

Calculate the sum or difference

[tex]200\times 1.15[/tex]

Calculate the product or quotient

[tex]230[/tex]

I hope this helps you

:)

Answer:

3.6 eggs

Step-by-step explanation:

You would divide 18 by 5 to find how much eggs used per 1 cake.

18 ÷ 5 = 3.6

Answer:18 x 5 so that would make it 90.

I think that's correct.

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's see ~

[tex]\qquad \sf  \dashrightarrow \:j + j + 2k[/tex]

[tex]\qquad \sf  \dashrightarrow \:2j + 2k[/tex]

[tex]\qquad \sf  \dashrightarrow \:2(j + k)[/tex]

・．━━━━━━━━━━†━━━━━━━━━━━━．・

Work Shown:

A = P*(1+r/n)^(n*t)

A = 800*(1+0.18/12)^(12*2)

A = 1,143.60224954321

A = 1,143.60

Notes:

Answer:

  168 cm²

Step-by-step explanation:

The area of a quadrilateral with diagonals that intersect at right angles is half the product of the lengths of the diagonals. A rhombus is one such quadrilateral, so the area of this one is ...

  A = 1/2(d1)(d2)

  A = (1/2)(21 cm)(16 cm) = 168 cm²

The area of the rhombus is 168 cm².

Answer:

The coefficient of the quadratic term ,a,determines how wide or narrow the graphs are, and

weather the graph turns upward or downward

Step-by-step explanation:

this is your answer

Answer:

Correct Answer: Option D

Step-by-step explanation:

9 1/3

hope that helps

Answer:

number is either 5600 or 5550 or 5560 or 5570 or 5580 or 5590

Step-by-step explanation:

Do mark BRAINLIEST

Answer:

15/28, 15/28, 15/28

Step-by-step explanation:

1. Is simplified

2. Divided

3. Evaluated

(Yes I know there the same but its just in case.)

Answer:

D

Step-by-step explanation:

to find a term in the sequence multiply the previous term by r , then

a₄ = - 8 , so

a₅ = - 8 × 0.5 = - 4

a₆ = - 4 × 0.5 = - 2

The sixth term of the sequence will be negative 2. Then the correct option is D.

Let a₁ be the first term and r be the common ratio.

Then the nth term of the geometric sequence is given as,

aₙ = a₁ · (r)ⁿ⁻¹

The fourth term (a₄) is negative 8 and the common ratio is 0.5.

Then the sixth term will be

For n = 5, we have

a₅ = a₁ · (r)⁵⁻¹

a₅ = a₁ · (r)⁴

a₅ = a₁ · r³ · r

a₅ = a₄ · r

a₅ = -8 · 0.5

a₅ = -4

Then the sixth term of the sequence will be

a₆ = a₁ · (r)⁶⁻¹

a₆ = a₁ · (r)⁵

a₆ = a₁ · r⁴ · r

a₆ = a₅ · r

a₆ = -4 · 0.5

a₆ = -2

The sixth term of the sequence will be negative 2.

Then the correct option is D.

More about the geometric sequence link is given below.

https://brainly.com/question/11266123

#SPJ2

Answer:

1.72e-3 = 1.72 x 10-3 = 0.00172

Step-by-step explanation:

72e-3 is a scientific notation used in mathematics, physics, chemistry, astronomy and other sciences to handle either very large or very small numbers. With scientific notation adding, subtracting, multiplying and dividing numbers becomes much simpler

Answer:

I'm sorry but there isn't really any question to be answered

Answer:

10 hours

Step-by-step explanation:

multiply b 2 then divided the miles and time and add to the total to get the time and miles you need

Answer:

I the person above is correct.

Step-by-step explanation:

Answer:

1,2,4,5, and 7

Step-by-step explanation:

edge 2022

Answer:

  50 cm²

Step-by-step explanation:

Given that the regular polygon is a square, there are multiple ways you can jump directly to the answer. Perhaps the simplest is to use the formula for the area of a rhombus:

  A = 1/2(d1)(d2)

where d1 and d2 are the lengths of the diagonals. Here, we see that half the diagonal is 5 cm, so the area is ...

  A = (1/2)(10 cm)(10 cm) = 50 cm² . . . . area of the polygon

__

Alternate solution

If you want to use the radius and the number of sides in a formula, you can consider the area of each triangle formed by radii and a side. That triangle has area ...

  A = 1/2r²sin(α)

where r is the radius and α is the central angle. For an n-sided polygon, the area is the sum of n of these triangles, and the central angle is 360°/n. Then the polygon area is ...

  A = n/2·r²·sin(360°/n)

For n = 4 and r = 5 cm, the area is ...

  A = (4/2)(5 cm)²(sin(360°/4)) = 2(5 cm)²(1) = 50 cm² . . . . area of square

_____

Additional comment

The formula is somewhat different if you start with the length of the apothem. One way to find the area is using the above formula and the relation between the radius and apothem:

  r = a·sec(180°/n)

Another formula uses the apothem directly:

  A = n·a²·tan(180°/n)

48 is the correct answer

Answer:2.5 kg of potatoes cost £1.40 Work out the cost of 4.25 kg of potatoes. 1.25kg=70p 2.5 kg=1.40 3.75 kg=2.10 Done.

Step-by-step explanation: hope this helps love!!

Answer:

Step-by-step explanation:

(x₁, y₁) = (-3 , 6)   &

(x₂ , y₂) = ( 5 , -9)

[tex]Slope =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

         [tex]=\dfrac{-9-6}{5-[-3]}\\\\\\=\dfrac{-15}{5+3}\\\\\\=\dfrac{-15}{8}[/tex]

Answer:

forty five thousand and nine hundreds twenty

Step-by-step explanation:

The total number of nickles that Alice has got for this case is 14. The total amount of money from those nickle and dimes that Alice hold is $1.9

A dollar is further divided into some majorly used parts as:

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.

For this case, we're specified that:

Suppose that she has got 'x' nickles.

Then, as it is given that she has 2 more nickles than dimes, therefore, we get:

number of nickles = 2 + number of dimes

x = 2 + 12 = 14

Thus, Alice has got  12 dimes and 14 nickles.

Similarly, we have:

Thus, the total amount of money she got is $1.2 + $0.7 = $1.9

Thus, the total number of nickles that Alice has got for this case is 14. The total amount of money from those nickle and dimes that Alice hold is $1.9

Learn more about forming equations here:

https://brainly.com/question/11938672

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Answer: 8  x 2 = 4

1 x 4 = 4

9 x 3 = 27

2 x 4 = 8

Step-by-step explanation:

Answer:

The theoretical probability states that it should be equal. That is should be 50/50 but the experimental results show that the coin favoured heads.

The trigonometry identity sin(x + y) = sinx cosy + cosx siny.

sin(x + y) is one of the identities in trigonometry for compound angles.

The angle (x + y) represents the compound angles.

sin(x + y) = sinx cosy + cosx siny

To prove

sin(x + y) = sinx cosy + cosx siny

Consider OX as a rotating line anti-clockwise. Let angle XOY = a

the making of an acute angle b the rotation in the same direction is

angleYOZ = b , angle XOZ = a + b

From triangle PTR,

∠TPR = 90 - ∠PRT , ∠ROX = a

From the right-angled triangle PQO

sin(a + b) = PQ/OP

= (PT + TQ) / OP

= PT/OP + TQ/OP

= PT/PR × PR/OP + RS/OR × OR/OP

= cos (∠TPR ) sinb + sina cosb

= sina cosb + cosa sinb

if we replace a=x and b=y

Therefore, sin(x + y) = sinx cosy + cosx siny.

Learn more about trigonometry identity;

brainly.com/question/63577