a circle with center (1, 2) passes through the point (0, 6). what is the equation of the circle

Answer:

The product of 2x + y and 5x – y + 3 is 10x^2+ 3xy + 6x - y^2 + 3y

Step-by-step explanation:

The product of the two expressions can be expressed mathematically as;

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

To obtain the product of these expressions, we simply expand the brackets as follows;

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

= 10x^2 - 2xy + 6x + 5xy - y^2 + 3y

= 10x^2- 2xy + 5xy + 6x - y^2 + 3y

= 10x^2+ 3xy + 6x - y^2 + 3y

The product of 2x + y and 5x – y + 3 is thus 10x^2+ 3xy + 6x - y^2 + 3y

Answer: 10x^2 +3xy +  6x + -1y^2 + 3y

Step-by-step explanation:

Answer:The answer is D. .116 fr Plato

The probability that If a person is selected at random the person is taller than 180 centimeters and has black hair is 0.116.

The probability helps us to know the chances of an event occurring.

[tex]\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

The number of people who are having black hair and are taller than 180 cm is 29. And the total number of employees in the company is 250. Therefore, the probability that the person is taller than 180 centimeters and has black hair can be written as,

[tex]\rm Probability=\dfrac{\text{Number of people with black hair and taller than 180 cm}}{\text{Total number of employees in the company}}\\\\\\Probability = \dfrac{29}{250} = 0.116[/tex]

Thus,  the probability that If a person is selected at random the person is taller than 180 centimeters and has black hair is 0.116.

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Part of the illustration is carved off.

Answer:

Step-by-step explanation:

Zero in on the highest power of x.  It's 4.  Thus, this polynomial is of the 4th degree.

Note:  Please use " ^ " to indicate exponentiation:

-2x^4 - x^3 + 8x^2 - 12

The equation -2x^4 - x^3 + 8x^2 = 12 is a 4th degree polynomial because the highest power of the variable is 4.

The equation given is a polynomial equation, and polynomials are classified by degree, which is the highest power of the variable. In the given equation -2x4 - x3 + 8x2 = 12, we can see that the highest power is 4, which is the degree of the x variable. Thus, this equation is a 4th degree polynomial equation.

The variable with the highest degree is used to classify the polynomial. In this case, the variable x has the highest degree, making it a 4th degree polynomial. The value of the degree helps us to understand the shape of the graph of the equation. In this case, a 4th degree polynomial could have 0, 2, or 4 real roots and the graph can have 2 turning points.

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Answer:

I'm not sure if your asking for an entire equation but the points for the vertex would be (-3,-4)

ANSWER

[tex]y = - 3( {x + 3)}^{2} - 4[/tex]

EXPLANATION

The given function is

[tex]y = - 3 {x}^{2} - 18x - 31[/tex]

Factor -3

[tex]y = - 3( {x}^{2} + 6x) - 31[/tex]

Add and subtract the square of half the coefficient of x.

[tex]y = - 3( {x}^{2} + 6x + {3}^{2} ) - - 3( {3)}^{2} - 31[/tex]

[tex]y = - 3( {x}^{2} + 6x + {3}^{2} ) + 27 - 31[/tex]

Apply perfect squares,

[tex]y = - 3( {x +3)}^{2} - 4[/tex]

The vertex form is:

[tex]y = - 3( {x +3)}^{2} - 4[/tex]

Answer:

the second one with points 1,2 and 2,4

Step-by-step explanation:

The graph will be a straight line that starts at the origin and rises diagonally to the right with a slope of 2. The correct graph id graph 2

Since each light panel holds two light bulbs, the number of light bulbs, y, is directly proportional to the number of light panels, x. This means that as the number of light panels increases, the number of light bulbs will also increase in a linear manner.

The relationship can be represented by the equation:

y = 2x

Where y represents the number of light bulbs and x represents the number of light panels.

The graph representing the relationship between the number of light panels, x, and the number of light bulbs, y, will be a straight line.

In this case, the line will have a positive slope of 2 since each light panel holds two light bulbs. This means that for every increase of one unit in the number of light panels, the number of light bulbs will increase by two units.

The graph will pass through the origin (0, 0) since when there are no light panels (x = 0), there will be no light bulbs (y = 0).

As x increases, y will also increase in a linear manner. The line will extend indefinitely in the positive direction in both the x-axis and y-axis, indicating that the relationship continues without any upper limit.

Visually, the graph will be a straight line that starts at the origin and rises diagonally to the right with a slope of 2.

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Answer:

choice D) 42 is the final answer.

Step-by-step explanation:

Population of the school = 350

Debra finds that the probability that a student has more than three siblings is [tex]=\left(\frac{3}{25}\right)[/tex]

Then the number of students that we expect to have more than three siblings, based on Debra's experiment [tex]=350\cdot\left(\frac{3}{25}\right)[/tex]

[tex]=\left(\frac{1050}{25}\right)[/tex]

[tex]=42[/tex]

Hence choice D) 42 is the final answer.

Answer:

C) 0.5

Step-by-step explanation:

Since DE is parallel to AB, angle FDE = ABF and  DEF = angle FAB

In fact, both triangles (ABF and DEF) are similar to each other because their interior angles are identical.

So, if sin(A) = 0.5, sin(E) = 0.5 too.

Answer:

C.  

0.5

Step-by-step explanation:

Answer:

Identify the slope, m. This can be done by calculating the slope between two known points of the line using the slope formula.

Find the y-intercept. This can be done by substituting the slope and the coordinates of a point (x, y) on the line in the slope-intercept formula and then solve for b.

Step-by-step explanation:

The general formula is y = mx +b.

m = slope.

b = y-intercept of the line  

The answer is the first option:

Answer:

Sorry to copy the other answer but plzz give the other person brainlist becuase I am doing a challenge on answering 5 mathematical questions in 2 days.

Step-by-step explanation:

A. (x+7)^2 -12=0

Answer:

6 & 5

Step-by-step explanation:

Daniel and his friends go to an amusement park to get on the fireball that costs $ 5 and the bumper cars cost $ 1 less. If Daniel climbs a total of 11 times and spends $ 50, how many times did he go up to each attraction?

costo de la bola de fuego: $5

costo de los coches de choque: 5 - 2 = $4

número de veces que montó bola de fuego = b

número de veces que montó de choque: m

b + m = 11 --> b = 11 - m

5b + 4m = 50

5(11 - m) + 4m = 50

55 - 5m + 4m = 50

m = 5

b + 5 = 11

b = 6

Answer: 39s(9s-5)

Step-by-step explanation:

(3s*13) (9s-5)

remove the parenthesis ex: (a)=a

3s*13 (9s-5)

Multiply the numbers

39s(9s-5)

Step-by-step explanation:

[tex](3s^{13})(9s-5)\qquad\text{use the distributive property}\ a(b-c)=ab-ac\\\\=(3s^{13})(9s)-(3s^{13})(5)\\\\=27s^{14}-15s^{13}[/tex]

Answer:

45 cm^2

Step-by-step explanation:

The formula you have written in pencil is correct.

Area = B*H

B = 9

H = 5

Area = 5*9

Area = 45 cm^2

Answer:

9.852 x 10 is the same outcome of 98.52/10. Can I have the brainliest answer?

Hope this helped!!!! :) <3 have a good day ma dude

9.852

but 9.8 if ya want to keep it short.

It just makes sense ¯\_(ツ)_/¯

Answer:

7

Step-by-step explanation:

ANSWER

Vertical asymptote:

x=1

Horizontal asymptote:

y=1

EXPLANATION

The given rational function is

[tex]h(x) = \frac{ {(x + 1)}^{2} }{ {x}^{2} - 1 } [/tex]

[tex]h(x) = \frac{ {(x + 1)}^{2} }{ ({x} - 1)(x + 1)} [/tex]

[tex]h(x) = \frac{ (x + 1)(x + 1) }{ ({x} - 1)(x + 1)} [/tex]

[tex]h(x) = \frac{ x + 1}{ {x} - 1} [/tex]

The vertical asymptote occurs at

[tex] {x} - 1 = 0[/tex]

[tex]x = 1[/tex]

The vertical asymptotes is x=1

The degree of the numerator is the same as the degree of the denominator.

The horizontal asymptote of such rational function is found by expressing the coefficient of the leading term in the numerator over that of the denominator.

[tex]y = \frac{1}{1} [/tex]

y=1

Answer:

x=1

y=1

Step-by-step explanation:

C on edge!

Final answer:

Logan can read 80 pages in 2 hours.

Explanation:

To find out how many pages Logan can read in 2 hours, we need to calculate the total number of minutes in 2 hours, which is 120 minutes. Then, we can multiply the rate at which Logan reads, which is 2/3 page per minute, by the total number of minutes to get the answer.

So, Logan can read:
(2/3) x 120 = 80 pages

Therefore, Logan can read 80 pages in 2 hours.

Answer: read below

Step-by-step explanation: 5+5=10-9=1x69= Baby

10:50

Or

1:5

Hope this helps!

The ratio of baseballs to the total number of balls in the storage room is 1:5. For every one baseball, there are five balls of any type.

We are looking for the ratio of baseballs to total balls. We find the total by adding the number of each type of balls: 10 (baseballs) + 4 (basketballs) + 12 (softballs) + 4 (soccer balls) + 20 (tennis balls) = 50 balls in total.

Now that we know the total, we can find the ratio of baseballs to the total amount of balls. There are 10 baseballs from a total of 50 balls. Thus, the ratio would be 10:50. Simplified, this ratio would be 1:5. This means for every one baseball, there are five balls of any type.

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Answer:

about $63

Step-by-step explanation:

Answer:

[tex]0.5x-42.15>20[/tex]

Step-by-step explanation:

Let x represents the amount of Alicia’s paycheck.

Alicia set aside the other half to take her friends out to dinner. That means she took 0.5x with her for dinner.

She spent 42.15 on dinner and brought home more than 20.00.

So, the inequality will be :

[tex]0.5x-42.15>20[/tex]

Solving for x;

=> [tex]0.5x>20+42.15[/tex]

=> [tex]0.5x>62.15[/tex]

x > 124.30

The answer to this question is the 3rd on (b)

Answer:

the answer is B or C

Step-by-step explanation:

i hope this some what helps

Answer:

0

Step-by-step explanation:

quotient means to divide

4/0=0

The answer is 0

4 divided by 0 is 0

Answer:

16682.7 cm³

Step-by-step explanation:

The total volume is the volume of the cone plus half the volume of a sphere:

V = ⅓ π r² h + ½ (4/3 π r³)

V = ⅓ π r² h + ⅔ π r³

V = ⅓ π r² (h + 2r)

Given that r = 4.15 cm and h = 10.2 cm:

V = ⅓ π (4.15)² (10.2 + 2×4.15)

V ≈ 333.65

The volume needed for 50 cones is therefore:

50V ≈ 16682.7 cm³

Harry gave away 3/6, or half of the brownies

1/6 plus 2/6 equals 3/6

Harry gave away 3/6 or 1/3 fractions of the pan to his mom and his brother.

Harry baked a pan of brownies for his brother=1/6

Harry baked a pan of brownies for his mom=2/6

Total pan of brownies harry gave = 1/6+2/6

                                                          3/6=1/3

Problem-solving is the act of defining a problem; figuring out the purpose of the trouble; identifying, prioritizing, and selecting alternatives for an answer; and imposing an answer.

Problem-solving starts with identifying the issue. As an example, a trainer may need to parent out a way to improve a scholar's overall performance on a writing talent test. To do that, the instructor will overview the writing exams looking for regions for improvement.

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Answer:

[tex]\frac{\sqrt[3]{5} }{3x}[/tex]

Step-by-step explanation:

Ok, let's do this step by step....

[tex]\sqrt[3]{\frac{10x^{5} }{54x^{8} } }[/tex]

Let's first simplify the x's:

[tex]\sqrt[3]{\frac{10}{54x^{3} } }[/tex]

Then we breakdown the 54 as 2 * 27 then simplify with the 10 above.

[tex]\sqrt[3]{\frac{10}{2 * 27x^{3} } } = \sqrt[3]{\frac{5}{27x^{3} } }[/tex]

Now, we can rewrite this as the following and solve the bottom part:

[tex]\frac{\sqrt[3]{5} }{\sqrt[3]{27x^{3} } } = \frac{\sqrt[3]{5} }{3 \sqrt[3]{x^{3} } } = \frac{\sqrt[3]{5} }{3x}[/tex]

The solution is

[tex]\frac{\sqrt[3]{5} }{3x}[/tex]

Answer:

0

Step-by-step explanation:

The answer is:

The domain of the function is all the real numbers except the number 13:

Domain: (-∞,13)∪(13,∞)

This is a composite function problem. To solve it, we need to remember how to composite a function. Composing a function consists of evaluating a function into another function.

Composite function is equal to:

[tex]f(g(x))=(f\circ} g)(x)[/tex]

So, the given functions are:

[tex]f(x)=x+7\\\\g(x)=\frac{1}{x-13}[/tex]

Then, composing the functions, we have:

[tex]f(g(x))=\frac{1}{x-13}+7\\[/tex]

Therefore, we must remember that the domain are all those possible inputs where the function can exists, most of the functions can exists along the real numbers with no rectrictions, however, for this case, there is a restriction that must be applied to the resultant composite function.

If we evaluate "x" equal to 13, the denominator will tend to 0, and create an indetermination since there is no result in the real numbers for a real number divided by 0.

So, the domain of the function is all the real numbers except the number 13:

Domain: (-∞,13)∪(13,∞)

Have a nice day!

For this case we must simplify the following expression:

[tex]\sqrt [3] {\frac {12x ^ 2} {16y}}[/tex]

We rewrite the expression as:

[tex]\sqrt[3]{\frac{4(3x^2)}{4(4y)}}=\\\sqrt[3]{\frac{4(3x^2)}{4(4y)}}=\\\frac{\sqrt[3]{3x^2}}{\sqrt[3]{4y}}=[/tex]

We multiply the numerator and denominator by:

[tex](\sqrt[3]{4y})^2:\\\frac{\sqrt[3]{3x^2}*(\sqrt[3]{4y})^2}{\sqrt[3]{4y}*(\sqrt[3]{4y})^2}=[/tex]

We use the rule of power[tex]a ^ n * a ^ m = a ^ {n + m}[/tex] in the denominator:

[tex]\frac{\sqrt[3]{3x^2}*(\sqrt[3]{4y})^2}{(\sqrt[3]{4y})^3}=\\\frac{\sqrt[3]{3x^2}*(\sqrt[3]{4y})^2}{4y}=[/tex]

Move the exponent within the radical:

[tex]\frac{\sqrt[3]{3x^2}*(\sqrt[3]{16y^2}}{4y}=\\\frac{\sqrt[3]{3x^2}*(\sqrt[3]{2^3*(2y^2)}}{4y}=[/tex]

[tex]\frac{2\sqrt[3]{3x^2}*(\sqrt[3]{(2y^2)}}{4y}=\\\frac{2\sqrt[3]{6x^2*y^2}}{4y}=[/tex]

[tex]\frac{\sqrt[3]{6x^2*y^2}}{2y}[/tex]

Answer:

[tex]\frac{\sqrt[3]{6x^2*y^2}}{2y}[/tex]

Answer: choice D

Step-by-step explanation: took it on edge

Answer:

Step-by-step explanation:

I take it that the base of the log is 4.

So the question can be written as

log_4 [(x+2)/(x + 3)] = -1

If you take the antilog of this, you get

(x + 2)/(x+3) = 4^-1 = 1/4

Now Cross Multiply

4*(x + 2) = 1*(x + 3)               Remove  the brackets on both sides

4x + 8 = x + 3                       subtract x from both sides.

4x - x + 8 = x - x + 3             Combine

3x + 8 = 3                             Subtract 8 from both sides

3x = 3 - 8                              Combine

3x = - 5                                 Divide by 3

x = - 5/3

Answer:

A (2+3n)÷5

Step-by-step explanation:

Lets break this down into step by step.

1) it says that it is the quotient of two. This means that we are dividing by a number. So the answer has to be dividing. So that means it's A or C

2) it says 2 more than 3 times a number n. This shows that the 2 is adding to 3 times n. so that canceled out C meaning it's A.