The circumference of a circle is 149 mm.
Calculate the area of the circle.
Give your answer in mm² to 1 d.p.

Answer:

X=0,y=-5

x=4,y=-1

Step-by-step explanation:

Replace all occurrences of y with x^2-3x-5

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

x^2-3x=x

X^2-4x=0

so :x=0,4

enter the value of x in the equation then find y

y=-5,-1

The equation of the circle with center (-4, 4) and passing through (-2, 4) is \((x + 4)^2 + (y - 4)^2 = 4.\)

We have,

To determine the equation of a circle, we need the center coordinates and the radius. The center coordinates are given as (-4, 4), and we have a point on the circle as (-2, 4).

The distance between the center (-4, 4) and the point on the circle (-2, 4) represents the radius of the circle.

Using the distance formula.

\(radius = √[(x_2 - x_1)^2 + (y_2 - y_1)^2]\\= \sqrt{(-2 - (-4))^2 + (4 - 4)^2}\\= \sqrt{2^2 + 0^2}\\= \sqrt{4}\\= 2\)

Now that we have the center coordinates (-4, 4) and the radius 2, we can write the equation of the circle in standard form:

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

Substituting the values:

\((x - (-4))^2 + (y - 4)^2 = 2^2\\(x + 4)^2 + (y - 4)^2 = 4\)

Therefore,

The equation of the circle with center (-4, 4) and passing through (-2, 4) is \((x + 4)^2 + (y - 4)^2 = 4.\)

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Answer:

3(4+n)

Step-by-step explanation:

The graph of the function \(f(x) = (9/4)x^2\) is a symmetric upward-opening parabola.

Overall, the graph represents a quadratic function with a positive leading coefficient, resulting in an upward-opening parabolic curve. The graph has been attached.

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Answer:

Choose any two numbers from 82 to 99.

Step-by-step explanation:

The square of 9 is 81, since 9 × 9 = 81.

The square of 10 is 100, since 10 × 10 = 100.

Choose any two numbers from 82 to 99; their square roots must, therefore, fall between 9 and 10.

It is possible to think of the set of hexadecimal digits, which includes one through four digits, as being divided into disjoint subsets: s, Sa, and so forth, strings in S,, strings in fourth, where each S, is made up of the strings with k hexadecimal digits. There are v rules, there are S2 total strings, and so on.

Hexadecimal number system is one of many sorts of ways for representing numbers that has a base-16 value. Hexadecimal numerals therefore contain 16 symbols or digital values, namely 0 through 1, 2, 3, 4, 5, 6, 7, 8, 9, A–F. Single bit representations of 10, 11, 12, 13, 14, and 15 are A, B, C, D, E, and F, respectively.

It can occasionally be spoken as "hex." There are only 16   used to represent hexadecimal integers. A, B, C, D, E, and F are the following values or symbols: 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.

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Answer:

The expansion of (3x² - k/x)^9 can be found using the binomial theorem. The binomial theorem states that for any real numbers a and b and any positive integer n, the expansion of (a + b)^n is given by:

(a + b)^n = C(n, 0)a^n b^0 + C(n, 1)a^(n-1)b^1 + C(n, 2)a^(n-2)b^2 + ... + C(n, n-1)a^1b^(n-1) + C(n, n)a^0b^n

where C(n, k) = n! / (k! (n-k)!).

Using this formula, we can find the coefficient of the term in x^6 in the expansion of (3x² - k/x)^9. The term in x^6 will be of the form C(9, 3) (3x²)^3 (-k/x)^6. We can find the value of C(9, 3) as follows:

C(9, 3) = 9! / (3! (9 - 3)!) = 84.

So, the coefficient of the term in x^6 is 84 * (3^3) * (-k/x)^6 = 84 * 27 * (-k)^6.

Since we are told that this coefficient is 6048, we can set these two expressions equal to each other:

6048 = 84 * 27 * (-k)^6

Dividing both sides by 84 * 27, we get:

k^6 = -6048 / (84 * 27) = -1.

Taking the sixth root of both sides, we find:

k = -1^(1/6).

So the value of k is approximately -1.122462048309372981433.

Answer:

12.6 times 0.45

price: .45

quantity: 12.6

cost = price x quantity

Answer:

12.6 x 0.45

Since you know how much Is each pound and you want to buy 12.6 pounds. all you have to do is multiply them both.

The position of each point on the membrane for t>0 is given by u(x,y,t) = x(x-1)y(y-1) + (14+u) c2t.

The position of each point on the membrane can be determined by solving the equation u xx + u yy = c2u, where u is the displacement of the membrane from its equilibrium position and c is the speed of the wave propagation. Since we are given f(x,y) = x(x-1)y(y-1), we can solve this equation to find u. Differentiating f(x,y) twice with respect to x and y gives us the corresponding derivatives of u. Plugging these derivatives into the equation gives us u xx + u yy = (14+u) c2. Solving this equation yields the displacement of each point on the membrane for t>0. Thus, the position of each point on the membrane for t>0 is given by u(x,y,t) = x(x-1)y(y-1) + (14+u) c2t.

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Answer:

2x + 5y + 15

Step-by-step explanation:

Step 1: Combine like terms

2x + 2y + 3(y + 5)

Step 2: Distribute

2x + 2y + 3y + 15

Step 3: Combine like terms

2x + 5y + 15

Answer: 2x + 5y + 15

Step-by-step explanation:

Which expression is equivalent to x + y + x + y + 3(y + 5)?

The option that can be used to verify the trigonometric identity, \(tan\left(\dfrac{x}{2}\right)+cot\left(x \right) = csc\left(x \right)\) is option C;

C. \(tan\left(\dfrac{x}{2} \right) + cot\left(x \right) = \dfrac{1-cos\left(x \right)}{sin\left( x \right)} +\dfrac{cos \left(x \right)}{sin\left(x \right)} =csc\left(x \right)\)

A trigonometric identity is an equations that consists of trigonometric functions that remain true for all values of the argument of the functions

The specified identity is presented as follows;

\(tan\left(\dfrac{x}{2} \right)+cot(x)=csc(x)\)

The half angle formula for tangent indicates that we get;

\(tan\left(\dfrac{1}{2} \cdot \left(\eta \pm \theta \right) \right) = \dfrac{tan\left(\dfrac{1}{2} \cdot \eta \right)\pm tan\left(\dfrac{1}{2} \cdot \theta \right)}{1 \mp tan\left(\dfrac{1}{2} \cdot \eta \right)\times tan\left(\dfrac{1}{2} \cdot \theta \right)}\)

\(\dfrac{tan\left(\dfrac{1}{2} \cdot \eta \right)\pm tan\left(\dfrac{1}{2} \cdot \theta \right)}{1 \mp tan\left(\dfrac{1}{2} \cdot \eta \right)\times tan\left(\dfrac{1}{2} \cdot \theta \right)}=\dfrac{sin \left(\eta\right) \pm sin\left(\theta \right)}{cos \left(\eta \right) + cos \left(\theta \right)} = -\dfrac{cos \left(\eta\right) - cos\left(\theta \right)}{sin \left(\eta \right) \mp sin \left(\theta \right)}\)

When η = 0, we get;

\(-\dfrac{cos \left(0\right) - cos\left(\theta \right)}{sin \left(0 \right) \mp sin \left(\theta \right)}=-\dfrac{1 - cos\left(\theta \right)}{0 \mp sin \left(\theta \right)}=\dfrac{1 - cos\left(\theta \right)}{sin \left(\theta \right)}\)

Therefore;

\(tan\left(\dfrac{x}{2} \right)=\dfrac{1 - cos\left(x \right)}{sin \left(x \right)}\)

\(cot\left(x \right) = \dfrac{cos(x)}{sin(x)}\)

\(tan\left(\dfrac{x}{2} \right)+cot(x)= \dfrac{1 - cos\left(x \right)}{sin \left(x \right)} +\dfrac{cos(x)}{sin(x)}\)

\(\dfrac{1 - cos\left(x \right)}{sin \left(x \right)} +\dfrac{cos(x)}{sin(x)}=\dfrac{1-cos(x)+cos(x)}{sin(x)} = \dfrac{1}{sin(x)}\)

\(\dfrac{1 - cos\left(x \right)}{sin \left(x \right)} +\dfrac{cos(x)}{sin(x)}=\dfrac{1}{sin(x)}=csc(x)\)

Therefore;

\(tan\left(\dfrac{x}{2} \right)+cot(x)= \dfrac{1 - cos\left(x \right)}{sin \left(x \right)} +\dfrac{cos(x)}{sin(x)} = csc(x)\)

The correct option that can be used to verify the identity is option C

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Answer:

y = 5

Step-by-step explanation:

We khow that x and y are consecutive integers and that x^2 is greater than y^2 since x^2-y^2=11

● so x is greater than y

● wich means that x = y+1

● x^2-y^2=11

● (y+1)^2-y^2 = 11

● y^2+2y+1-y^2=11

● 2y + 1 = 11

● 2y +1-1 = 11-1

● 2y = 10

●2y/2 = 10/2

● y = 5

Answer:

slope=0 (horizontal line)

Step-by-step explanation:

A way to remember this is if you went skiing on a horizontal line you would have 0 fun.

Answer: Half of them are even and half of them are odd.

Step-by-step explanation:

The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.

The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.

Therefore, out of the given numbers, half of them are even and half of them are odd.

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Answer:

3 4/5

Step-by-step explanation:

7 3/10 - 3 9/10=

In this case 3/10 - 9/10 is cannot  be so we have to borrow 1 whole from 7

so, 7 3/10 will become 7 3/10 + 1 or to add we have to change 1 as 10/10, any way 1 and 10/10 is equal but in this case we will use 10/10 to add 1 whole to 3/10 and minus 1 whole to 7

so, 3/10 + 10/10 = 13/10

and 7 - 1 = 6

so, 7 3/10 as 6 13/10

any way 7 3/10 and 6 13/10 is equal but, in this case we have to use 6 13/10 to minus, because 7 3/10 is cannot be

so, 6 13/10 - 3 9/10 =

=3 4/10 or 3 2/5

Answer:

5

Step-by-step explanation:

The left side is equal to:

x/(2.52-2.02) = x/0.5 = 2x

Let's simplify the numerator of the right side.

9*(31/20 - 1.05) = 9*(0.5) = 9/2

The denominator is 43/40 - 35/8 /7 = 43/40 - 5/8 = 43/40 - 25/40 = 18/40 = 9/20.

So 2x = (9/2)/(9/20) = 10

x = 5

Answer:

x=-2835/62 or (in decimal form) 45.726

Step-by-step explanation:

Hope this helps!

Brain-List?

The perimeter of the rectangle is 62 square units.

The perimeter of a rectangle can be calculated using the formula:

P = 2(L + W)

Where:

L is the length of the rectangle

W is the width of the rectangle

We have:

L = 20 units

W = 11 units

Substituting into the formula:

P = 2(20 + 11)

P = 2(31)

P = 62 square units

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Question in English

What is the perimeter of a rectangle if it is 20 long and 11 wide?

Answer:

a) 52

Step-by-step

49+52=101

which makes the equation true

101>100

51 will make it equal

53 and 54 its more than 52 that meants it wont be  the smallest whole number

Step-by-step explanation:

You should go ahead and label the x axis as hours and the y axis as distance and go in 25s

ex- 25 50 75 100 etc

Now plot the points on the graph according to the information given in the paragraph.

Answer:

subtract 11.3 from 15.9 and b is 4.6

Step-by-step explanation:

The answer is C. 5. To determine the minimum number of envelopes that one of the 10 mailboxes must contain when 40 envelopes are placed in them, we can use the Pigeonhole Principle.

According to this principle, if n items are placed into m containers, and n > m, then at least one container must contain more than one item. In this case, if we have 40 envelopes and 10 mailboxes, then the average number of envelopes in each mailbox would be 4. However, if each mailbox contained only 3 envelopes, then we would have a total of 30 envelopes, leaving 10 more envelopes to be placed in the remaining mailboxes. Since we only have 9 mailboxes left, by the Pigeonhole Principle, one of them must contain at least 5 envelopes (4 envelopes in each of the remaining 9 mailboxes = 36 envelopes, leaving 4 more envelopes to be placed in one of the remaining mailboxes).

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Answer:

1/26

Step-by-step explanation:

'or' in the question means add

theres only 1 card that is 10 of spades

and

theres only 1 card that is four of diamonds

1/52 + 1/52 = 2/52 = 1/26

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According to the information we can infer that the period of the graph is 8.

To determine the period of the graph we have to consider that the period of a grah is the distance between rigdes. So, in this case we have to count what is the difference between each rigde.

In this case, the distance between rigdes is 8 units because the first is located in the line 1 an the second is located in the line 9. So we can conclude that the period of the graph is 8.

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Answer: x = -1

Step-by-step explanation:

simplify 2(x + 7) 2 / 3 = 8 to 4x + 28 = 24 and then solve it from there

Answer:

C D

Step-by-step explanation:

Answer:

A' (2,-3)

B' (5,-5)

C' (5,-2)

D' (7,-3)

Step-by-step explanation:

I used desmos graphing calculator to help me solve

Answer: The answers would be A= 2,-3  B= 5,-5   C=-5-2  and D= 7,-3

Answer:

36

Step-by-step explanation:

Answer:

POSITIVE THANK ME LATER

Step-by-step explanation: