PLZ HELP ASAP FEATURES OF A CIRLE FROM EXPANDED EQUATION

Answers

Answer 1

First we need to convert the given equation to standard form, only then we can find the center and radius of the circle.

[tex] x^{2} + y^{2} +18x+14y+105=0 \\ \\ x^{2} +18x+ y^{2}+14y=-105 \\ \\ x^{2} +2(x)(9)+ y^{2}+2(y)(7)=-105 \\ \\ x^{2} +2(x)(9)+ 9^{2} + [y^{2}+2(y)(7)+7^{2}] =-105+9^{2}+7^{2} \\ \\ (x+9)^{2}+ (y+7)^{2}=25 [/tex]

The standard equation of circle is:

[tex](x-a)^{2} + (y-b)^{2}= r^{2} [/tex]

with center (a,b) and radius = r

Comparing our equation to above equation, we can write

Center of circle is (-9, -7) and radius of the given circle is 5

Related Questions

Sabrina rounded the size of the park to the nearest thousands acres. Her estimate was 276,000 acres. What number could be the exact numbers of acres?

A 276,543
B 276,479
C 275,424
D 275,289

Answers

The correct answer would be ‘B’ because...
A rounds up to 277000
B rounds to 276000
C rounds to 275000
And D rounds to 275000 as well.
Good luck with future problems m8

If the estimate is 276000, the actual number must have been rounded down if it was between 276000 and 276500(non-inclusive), and rounded up if it was between 275500 and 276000(inclusive). The only choice within either of these ranges is B.

a radius and an angle measure between 0 and 360 degrees

Answers

whats the question???

Final answer:

A radius and an angle between 0 and 360 degrees are the two components needed to define a point on a circle in polar coordinates in trigonometry. The angle is the polar angle and the radius is the distance from the center of the circle to the point.

Explanation:

In mathematics, specifically in trigonometry, a radius and an angle measure between 0 and 360 degrees are the two key components needed to define a point on a circle in polar coordinates. The angle is known as the polar angle, often denoted as θ (theta), and the radius is the distance from the center of the circle to the point. For example, a point with a radius of 1 and an angle of 90 degrees would be located at the top of the circle, as the polar angle is measured counterclockwise from the positive x-axis.

Learn more about Polar Coordinates here:

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THE FIRST ANSWER GETS A BRAINLIEST BUT THE ANSWER HAS TO BE RIGHT ALSO 20 POINTS
Kiah plotted the locations of her home and the city of Huntingdon on the number line shown. Williamsburg is the same distance from Kiah’s home as Huntingdon, but it is in the opposite direction. Which statement best describes how to find the location of Williamsburg on the number line?
A) The opposite of 6.75 is −6.75, so Williamsburg is at −6.75.
B) The sum of 6.75 and 6.75 is 13.5, so Williamsburg is at 13.5.
C) The numbers 6.75 and −6.75 are the same, so Williamsburg is at 6.75.
D) Opposites, such as 6.75 and −6.75, sum to zero, so Williamsburg is at 0.

Answers

The answer is A ok man?

Answer:

Answer is A plz mark me as branliest like u said

Step-by-step explanation:

hey can you please help me posted picture of question

Answers

Selecting this function: F(x)= x^4-x^2+3

Graph using these selected points:
Rises to the left and rises to the right
x y
-1 3
0 3
1 3
2 15
3 75

After assigning values for x and y, plot the graph:
See attached picture for the graph.

We can now conclude that for the given graph, the equation of F(x) is equal to x^4-x^2+3 which is letter D. F(x)= x^4-x^2+3

Which equation best presents the relationship between x and y in the graph?

Answers

5x and 7y. Keep up the good work

Given that a = −4, b = −3. c = −2, d = −1, which gives the correct order from least to greatest for the rational numbers on a number line?

Answers

Final answer:

On a number line, the correct order from least to greatest for the given rational negative numbers is −1, −2, −3, and −4.

Explanation:

To correctly place the numbers a = −4, b = −3, c = −2, and d = −1 on a number line from least to greatest, we should start with the number that has the largest absolute value in the negative direction. Since negative numbers are greater when they have a smaller absolute value, the order from least to greatest is:

d < c < b < a

This means −1 is greater than −2, which is greater than −3, and −3 is greater than −4 on the number line.

You have 4 tickets to the movies and can take 3 of 4 friends--Mike, Tom, Eddie, and Chris. If chosen randomly, what is the probability that you will take Mike, Tom, and Chris?

Answers

Hello!

You have to find the probabilities of these happening

To pick Mike the first time is a 1 /4 chance

To pick Tom after Mike is a 1 / 3 chance since you picked mike

To pick Chris after Tom is a 1 / 2 chance since there are only two friends left

To find the probability of these happening in a row you multiply them

1/4 * 1/3 * 1/2 = 1/24

The answer is 1/24

Hope this helps!

Evaluate the expression. 10p5

Answers

So this is permutation.

The number of permutations of n objects taken r at a time is defined as [tex]_nP_r = \dfrac{n!}{(n-r)!}[/tex].

Here, you have 10 objects and 5 of them will be taken.

So that would be 10! / (10-5)! = 10! / 5! = 30240

Final answer: 30240

Hope this helps.

Answer:

The correct answer is

30,240

If y varies inversely with x, and y= 2 when x= 8, what is k, the constant of proportionality?

Answers

[tex]\bf \qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad y=kx\impliedby \begin{array}{llll} k=constant\ of\\ \qquad variation \end{array}\\\\ -------------------------------\\\\ \textit{we also know that } \begin{cases} y=2\\ x=8 \end{cases}\implies 2=k8\implies \cfrac{2}{8}=k\implies \cfrac{1}{4}=k[/tex]

Q #10 Solve the equation

Answers

To write a rule or an equation for the linear function shown in table we can use any two points.

I am using the first two points (1, -7) and (2,-10)

First we need to find the slope(m), using these points.

[tex]m= \frac{-10+7}{2-1}=-3 [/tex]

Using the slope and point (1,-7) we can write the equation in point slope form as:

y + 7=-3(x-1)

y = -3x + 3 - 7

y = -3x - 4

So first option gives the correct answer

log (x+4) -5 base 2 = 17
help please!!

Answers

[tex]\bf \textit{Logarithm Cancellation Rules} \\\\ log_a a^x = x\qquad \qquad \boxed{a^{log_a x}=x}\\\\ -------------------------------\\\\ log_2(x+4)-5=17\implies log_2(x+4)=22\implies 2^{log_2(x+4)}=2^{22} \\\\\\ x+4=2^{22}\implies x=2^{22}-4\implies x=4194300[/tex]

If a tank filled with water contains a block and the height of the water above point A within the block is 0.6 meter, what's the pressure at point A?

A. 9.80 kPa
B. 3.85 kPa
C. 7.84 kPa
D. 5.88 kPa

Answers

Hi! The answer is D. 5.88kPa

Answer:The answer is D. 5.88kPa

Step-by-step explanation:

Hey can you please help me posted picture of question

Answers

Two translations are made to the parent quadratic function

1) Horizontal shift to left by 2 units
This is expressed by adding 2 to x

2) Vertical shift downwards by 3 units.
This is expressed by subtracting 3 from function

So, we can write:

F(x) = G(x - 2) - 3

F(x) = (x - 2)² - 3

So, option D is the correct answer

an original piece of art work is 3 feet by 2.5 feet. a reprint of the artwork is 6 inches by 5 inches. are the pieces similar? if so, what is the ratio of their corresponding side lengths?

Answers

For this case we observe that the dimensions of the original piece are:
3 feet
2.5 feet
Let's multiply these dimensions by a scale factor k:
3 * k
2.5 * k
We match the new dimensions with their respective values:
3 * k = 6
2.5 * k = 5
Clearing k we have:
k = 6/3 = 2
k = 5 / 2.5 = 2
Since the value of k is the same, then the pieces are similar.
Answer:
The pieces are similar.
The ratio of their corresponding side lengths is:
k = 2

The length of a rectangle is a two-digit number with identical digits (aa). the width is 1/10 of the length. the perimeter is 2 times the area of the rectangle. find the length and the width.

Answers

L = 10a + a
L = 11 a
W = 1/10 (11a)
W = 1.1 a

Perimeter = 2(L + W)
Perimeter = 2*(11a + 1.1a)
Perimeter = 22a + 2.2 a
Perimeter = 24.2 a

Area = L * W
Area = 11a * 1.1a
Area = 12.1 a^2

The perimeter is 2*area
P = 2*A
P = 2* 12.1 a^2
P = 24.2 a^2

Now put in the perimeter on the left side of the above equation.
24.2a = 24.2 a^2 Divide both sides by 24.2
1 a = a^2 Divide by a
1 = a

The length = 11*a = 11*1 = 11
The Width = 1.1 a = 1.1 * 1 = 1.1

Answers
L = 11 <<<<<<< answer
W = 1.1 <<<<<< answer

What method can you use to find the area of the composite figure? Check all that apply.
Decompose the figure into two rectangles and add the areas.

Decompose the figure into three rectangles and add the areas.
Find the area of the entire rectangle and of the removed corner and subtract the areas.

Find the area of the larger rectangle.

Find the area of the smaller rectangle and multiply by two.

Answers

Answer:

Decompose the figure into two rectangles and add the areas.

Step-by-step explanation:

We can draw a vertical line segment from the smaller section of the rectangle straight down. This would cut the rectangle into 2 smaller rectangles. We can then find the area of each rectangle and add them to find the area of the composite figure.

PLZ HELP ASAP INSCRIBED QUADRILATERALS

Answers

Opposite angles of an inscribed quadrilateral are supplementary, that is, they add up to 180 degrees. For this quadrilateral, Q + A = 180, and similarly, U + D = 180. Since we are given U = 106, therefore:
106 + D = 180
D = 74 degrees.

A massage costs $81.50 per hour. How much will a massage for 2.5 hours cost? $

Answers

[tex]\bf \begin{array}{ccll} \$&hours\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 81.50&1\\ x&2.5 \end{array}\implies \cfrac{81.50}{x}=\cfrac{1}{2.5}\implies \cfrac{81.50\cdot 2.5}{1}=x[/tex]

Determine the number of x-intercepts that appear on a graph of each function. f (x) = (x + 2)(x - 1)[x - (4 + 3i )][x - (4 - 3i)]

Answers

f(x) has two real roots, -2 and +1. Those are the only x-intercepts.

f(x) has 2 x-intercepts.

Answer:

This function has two x-intercepts.

Step-by-step explanation:

The number of x-intercepts of a function is given by the number of REAL ROOTS of the function. A complex root does not intercept x.

In this function, we have

Two real roots: x = -2 and a x = 1

Two complex roots: x = -4 + 3i and x = -4 - 3i

So this function has two x-intercepts.

a painter 1/3 of a house on Monday and 1/4 of the house on tuesday. how much of the house is left to be painted.

Answers

[tex]1 - \dfrac{1}{3} - \dfrac{1}{4} = \dfrac{12}{12} = \dfrac{4}{12} - \dfrac{3}{12} = \dfrac{5}{12}[/tex]

Answer: 5/12 of the house is left.

If angle A is complementary to angle B, and angle B is supplementary to angle C, what is the measurement of angle C if angle A is 21 degree...

Answers

C = 111 degrees

Since A and B are complementary they add to 90. So we know that B must be 69 degrees.

Since B and C are supplementary they add to 180. So we know that C must be 111.

julia weny to the clothing store. she had exactly $100 that she could spend.she bought 3 shirts for $29.57 each including tax. each pair of socks cost 8.95,including tax. which inequality could be used to find s, the number of pairs of socks she cpuld buy?

Answers

Hi there!

We need to add the total together, including the socks and the total needs to be less than or equal to 100. The inequality we would use is 3(29.57) + 8.95s <= 100 | 88.71 + 8.95s <= 100.

Hope this helps!! :)
If there's anything else that I can help you with, please let me know!

how can x2+3x+1=2x2+2x+3 be set up as a system of equations

Answers

For this case we can write the system of equations as two equations with two unknowns.
We then define the following unknowns:
incognitas: x and y.
We write the system of equations:
y = x2 + 3x + 1
y = 2x2 + 2x + 3
Answer:
y = x2 + 3x + 1
y = 2x2 + 2x + 3

Final answer:

The given equation can be converted into a system of equations by setting each side of the given equation to equal zero separately. The system of equations will then be x² - x + 2 = 0 and x² + 3x + 1 = 0.

Explanation:

The given equation, x²+3x+1=2x²+2x+3, can be set as a system of equations by getting each side of the equation to equal zero. Begin by subtracting the entire left-hand side of the equation from the right-hand side which gives us:

2x² + 2x + 3 - (x² + 3x + 1) = 0

This simplifies to x² - x + 2 = 0. That's your first equation.

Now, take the left-hand side of the original equation and set it equal to zero: x² + 3x + 1 = 0. That's your second equation. So the system of equations from the original equation are:

x² - x + 2 = 0 x² + 3x + 1 = 0

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if the quanity demanded of soda decreases by 5 percent when the price of soda rises by 100 percent what is the price elasticity of demand for soda

Answers

Price elasticity of demand is calculated as the ratio of change in demand to the ratio of change in price. So if the demand changes -5% when the price changes 100%, the PED = -5% / 100% = -0.05. Most good have a PED < 0, since demand typically decreases when the price is increased.

what ia -3x - 14 = 4

Answers

-3x - 14 = 4
-3x - 14 + 14 = 4 + 14 (Added 14 on both sides, -14 cancels out)
-3x = 18 (Divide 18 by -3x)
x = -6

Arrange to have all the numbers on one side of the equation, all the letters on the other.

-3x - 14 = 4 Add 14 to both sides.
-3x - 14 + 14 =4 + 14
-3x = 18 [4 + 14 = 18] Now divide by - 3
-3x/-3 = 18/-3
x = -6 <<<< answer
An odd number of minus's when you multiply or divide, leaves you with a minus. In this question, there is one minus on the right. Therefore the answer to division will be minus. You should always leave the variable (a letter) as plus.

What is the value of k used to find the coordinates of a point that partitions a segment into a ratio of 5:3?

Answers

Since the value of k can be determined by dividing the numerator of the original ratio, which is 5, by the sum of the numerator and denominator of the ratio:
(5+3)=8

Thus the value for k = 5/8

Answer:

[tex]\frac{5}{8}[/tex]

Step-by-step explanation:

We are asked to find the value of k used to determine the coordinates of a point that partitions a segment into a ratio of 5:3.

The value of k would be 5 divided by the sum of 5 and 3.

[tex]k=\frac{5}{3+5}[/tex]

[tex]k=\frac{5}{8}[/tex]

Therefore, the value of k is [tex]\frac{5}{8}[/tex].

PLZ HELP ASAP CIRCLES

Answers

It is also 46 degrees.

46 degrees, because the angle is congruent to angle of A.

Meryl needs to add enough water to 11 gallons of an 18% detergent solution to make a 12% detergent solution. Which equation can she use to find g, the number of gallons of water she should add?

Answers

A suitable equation will equate the quantity of detergent both before and after the water is added to the solution.

the amount of detergent in 11 gal of 18% solution is the same as the amount of detergent in the 12% solution (after g gallons of water are added)
.18*11 = .12*(11+g)

Answer:

[tex]\frac{1.98}{11+g}=\frac{12}{100}[/tex]

Step-by-step explanation:

Given,

Total quantity of solution = 11 gallons

Initial detergent in the solution = 18 % of 11 gallons

[tex]=\frac{18\times 11}{100}[/tex]

[tex]=\frac{198}{100}[/tex]

[tex]=1.98\text{ gallons}[/tex]

Now, here g represents the number of gallons of water she should add to make 12 % detergent solution,

Final quantity of solution = ( 11 + g ) gallons

Thus, we can write,

The part of detergent in (11+g) gallons of water = The final percentage of detergent

[tex]\frac{1.98}{11+g}=\frac{12}{100}[/tex]

Which is the required equation.

Callie evaluated the expression using the steps shown below.

Which best explains Callie’s error?
Callie incorrectly placed the decimal.
Callie multiplied incorrectly.
Callie added incorrectly.
Callie incorrectly used placeholder zeros. ill giveaway 200 points if this gets answerd

Answers

The answer is b because if you multiplied 0.42 and.4.73 that equals to 1.9866

Callie's error in evaluating the expression was due to incorrectly placing the decimal point in the product. The correct placement of the decimal results in the final answer: 1.9866. Callie should ensure correct placement of the decimal by counting the total decimal places in the original numbers.

Callie made an error when evaluating the expression 0.42 * 4.73 due to incorrectly placing the decimal.

Let's break down the correct steps:

First, multiply as if the numbers are whole numbers: 42 * 473 = 19866.Next, count the total number of decimal places in the original numbers. 0.42 has 2 decimal places, and 4.73 has 2 decimal places, for a total of 4 decimal places.Place the decimal point in the product so that there are 4 decimal places: 19866 becomes 1.9866.

Therefore, the correctly placed decimal in the product gives the final answer: 1.9866.

The most appropriate explanation for Callie's error is that she incorrectly placed the decimal.

Complete Question:- Callie evaluated the expression 0.42* 4.73 using the steps shown below. frac beginarrayr 042 * 473 126endarray 126 beginarrayr 2940 +18800 hline 19866endarray Which best explains Callie's error? Callie incorrectly placed the decimal. Callie multiplied incorrectly. Callie added incorrectly. Callie incorrectly used placeholder zeros.

hey can you please help me posted picture of question

Answers

We have the following function:
P (m) = m / 6 + 9
Clearing m we have:
m = 6 * (p-9)
m= 6*p - 6*9
Rewriting:
m (p) = 6p-54
Answer:
The inverse function for this case is given by:
m (p) = 6p-54
option A

The correct answer is option B.

The solution is shown below

[tex]P(m)= \frac{m}{6} -9 \\ \\ p=\frac{m}{6} -9 \\ \\ p+9=\frac{m}{6} \\ \\ 6(p+9)=m \\ \\ m=6p+54 \\ \\ M(p)=6p+54 \\ \\ M(p)=6m+54 \\ \\[/tex]

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