certain circle can be represented by the following equation.
x^2+y^2+18x+14y+105=0x
2
+y
2
+18x+14y+105=0x, squared, plus, y, squared, plus, 18, x, plus, 14, y, plus, 105, equals, 0
What is the center of this circle ?
((left parenthesis
,,comma
))right parenthesis
What is the radius of this circle ?
units

Answers

Answer 1

Answer:

Center of the circle is (-9, -7)

Radius of the circle = 5 units

Step-by-step explanation:

Given question is incomplete: here is the complete question.

Certain circle can be represented by the following equation. x^2+y^2+18x+14y+105=0.

What is the center of this circle ?

What is the radius of this circle ?

Since equation of the circle has been given by the equation,

x² + y² + 18x + 14y + 105 = 0

Now we will convert this equation to the standard form of the circle.

x² + 18x + y² + 14y = -105

[x² + 2(9)x] + [y² + 2(7)x] = -105

[x² + 2(9)x + 9²] + [y² + 2(7)y + 7²] = 9² + 7² - 105

(x + 9)² + (y + 7)² = 81 + 49 - 105

(x + 9)² + (y + 7)² = 25

(x + 9)² + (y + 7)² = 5²

By comparing this equation with the standard equation of the circle → (x - h)² + (y - k)² = r²

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

Answer 2

Answer:

(-4.8)

7 unit

i just did the test

Step-by-step explanation:


Related Questions

I'm not really looking for an exact answer, I'm more so looking for an explanation on how to do this.

Answers

I would have each block be 1/6 of a yard

You could technically have any value you want, but for me 1/6 is easiest because 1/2 and 1/3 will scale up to this like so

1/2 = (1/2)*(3/3) = 3/6

1/3 = (1/3)*(2/2) = 2/6

The diagram below might help if you're still stuck on why I picked 1/6.

PLZ HELP! WILL MARK BRAINLIEST
Tell what whole number you can substitute for x in the following list so the numbers are ordered from least to greatest.
1/x , x/8, 65%
x=

Answers

Answer:

4

Step-by-step explanation:

If you add 4 it would be 1/4, 4/8, 65% which goes from least to greatest!

Answer:

x= 3

Step-by-step explanation:

1/3 = 33.3%. 3/8 = 37.5%. 65%

Hope this helps.

Can you pleasee help me with the Screenshot Below its Overdue.

Answers

Answer:

what grade is this its and your answer is

Step-by-step explanation:

13/5 63/1 A = X

Which is equal

(please help asap!)

Answers

Answer:

B

Step-by-step explanation:

there

The marcus family goes out to eat 4 nights during vacation. There are two adults and two children in their family
The first night they go out to a buffet, the cost is 24.99 per adult and 12.99 per child. Plus 8% sales tax, how much did dinner cost?

Answers

answer:  

82.0476 i think

Step-by-step explanation:

Answer:

82.04 dollars

i hope this was helpful

Step-by-step explanation:

A certain lot consisting of ten items has three defective items and seven nondefective items. How many possible subsets of 2 items can be chosen from this lot?

21
45
90

Answers

Answer:

45

Step-by-step explanation:

The order in which the items are chosen is not important. So we use the combinations formula to solve this question.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

How many possible subsets of 2 items can be chosen from this lot?

Combinations of 2 from a set of 10. So

[tex]C_{10,2} = \frac{10!}{2!(10-2)!} = 45[/tex]

Answer:

45

Step-by-step explanation:

a) -3 · x = -21

b) -7x + 16 = 2x - 20
help pls

Answers

a) x=7, you divide both sides by -3 to get x by itself.

b) x=4, you add 7x to both sides to get all the x on one side, you then add 20 to both sides to get all constants on both sides. lastly, you divide by 9 to get x by itself.
a) -3x=-21
x=-21/-3
x=7

b) -7x+16=2x-20
-7x-2x=-20-16
-9x=-36
x=-36/-9
x=4

A cube with a volume of 64 cubic meters is scaled by factor of 5.what is the volume of cube in cubic meters?

Answers

If you scale 64 meters by a factor of 5 you will get 34.55

329,444,000,777,234 in words​

Answers

Step-by-step explanation:

Three hundred and twenty nine trillion four hundred and fourty four billion seven hundred and seventy seven thousand two hundred and thrity four

Answer:

Look at the attachment

If a circle has a diameter of 30 meters, which expression gives its area in
scuare meters​

Answers

Answer:

A = pi (15)^2

Step-by-step explanation:

The diameter is 30

The radius is 1/2 of the diameter

r = d/2 =30/2 = 15

The area of a circle is

A = pi r^2

A = pi (15)^2

A = 225 pi

Answer:B

Step-by-step explanation: 30 is the diameter so we divide it by 2 to get 15 which is the radius. Radius to the power of 2 times pi is how you get area so 15^2 times pie equals area.

solution of 4y - 2x < 8

a. (0,2)
b. (-4,0)
c. (1,2)
d. (10,7)​

Answers

Answer:

A

Step-by-step explanation:

Find the lowest common denominator for the fractions shown.
8/51
19/85
a. 255
b. 17
c. 4,335​

Answers

Answer:

A.

Step-by-step explanation:

Just find the lowest common multiple of 51 and 85.

51 = 3 * 17

85 = 5 * 17

3 * 5 * 17 = 255

The lowest common denominator for the fractions is 17.

What are Fractions?

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.

Given:

fraction = 8/51 and 19/ 85

Now, LCM of 51 and 85.

51 = 17 x 3

85= 17 x 5

So, the least common multiple is 17.

Hence, the lowest common denominator for the fractions is 17.

Learn more about Fraction here:

https://brainly.com/question/10354322

#SPJ2

What
are the quotient and remainder of (5x^4+5x^2 +5)/(x^2-x+1)?

Answers

Answer:

Quotient is [tex]5(x^2+x+1)[/tex] and remainder is 0.

Step-by-step explanation:

Given: [tex]\frac{5x^4+5x^2+5}{x^2-x+1}[/tex]

To find: quotient and remainder

Solution:

In the given question,

Dividend = [tex]5x^4+5x^2+5[/tex]

Divisor = [tex]x^2-x+1[/tex]

[tex]\frac{5x^4+5x^2+5}{x^2-x+1}\\=\frac{5(x^4+x^2+1)}{x^2-x+1}\\=\frac{5[x^2(x^2+1)+1]}{x^2-x+1}\\=\frac{5[x^2(x^2-x+x+1)+1]}{x^2-x+1}\\=\frac{5[x^2(x^2-x+1)+x^3+1]}{x^2-x+1}\\=\frac{5[x^2(x^2-x+1)+x(x^2)+1]}{x^2-x+1}\\=\frac{5[x^2(x^2-x+1)+x(x^2-x+1+x-1)+1]}{x^2-x+1}\\=\frac{5[x^2(x^2-x+1)+x(x^2-x+1)+(x^2-x+1)]}{x^2-x+1}\\=\frac{5[(x^2-x+1)(x^2+x+1)}{x^2-x+1} \\=5(x^2+x+1)[/tex]

So, quotient is [tex]5(x^2+x+1)[/tex] and remainder is 0.

The position of a ball after it is kicked can be determined by using the function f left parenthesis x right parenthesis equals negative 0.11 x squared plus 2.2 x plus 1f(x)=−0.11x2+2.2x+1​, where​ f(x) is the​ height, in​ feet, above the ground and x is the horizontal​ distance, in​ feet, of the ball from the point at which it was kicked. What is the height of the ball when it is​ kicked? What is the highest point of the ball in the​ air?

Answers

Answer:

When kicked, the height of the ball is 1 feet. The highest point for the ball's trajectory is 12 feet.

Step-by-step explanation:

We are given that the height is given by [tex]f(x)=-0.11x^2+2.2x+1[/tex]. The distance between the ball to the point where it was kicked is 0 right at the moment the ball was kicked. So, the height of the ball, when it was kicked is f(0) = -0.11*0 + 2.2*0 +1  = 1.

To determine the highest point, we will proceed as follows. Given a parabola of the form x^2+bx + c, we can complete the square by adding and substracting the factor b^2/4. So, we get that

[tex] x^2+bx+c = x^2+bx+\frac{b^2}{4} - \frac{b^2}{4} +c = (x+\frac{b}{2})^2+c-\frac{b^2}{4}[/tex].

In this scenario, the highest/lowest points is [tex]c-\frac{b^2}{4}[/tex} (It depends on the coefficient that multiplies x^2. If it is positive, then it is the lowest point, and it is the highest otherwise).

Then, we can proceed as follows.

[tex] f(x) = -0.11x^2+2.2x+1 = -0.11(x^2-20x)+1[/tex]

We will complete the square for [tex]x^2-20x[/tex]. In this case b=-20, so

[tex] f(x) = -0.11(x^2-20x+\frac{400}{4}-\frac{400}{4})+1 = -0.11(x^2-20x+100-100)+1[/tex]

We can distribute -0.11 to the number -100, so we can take it out of the parenthesis, then

[tex] f(x) = -0.11(x^2-20x+100)+1+100*0.11 = -0.11(x^2-20x+100)+1+11 = -0.11(x-10)^2+12[/tex]

So, the highest point in the ball's trajectory is 12 feet.

Answer:

Initial height = 1ft

Heighest height = 12ft

Step-by-step explanation:

In order to solve this problem, we can start by graphing the given height function. This will help us visualize the problem better and even directly finding the answers, since if you graph it correctly, you can directly find the desired values on the graph. (See attached picture)

So, the initical height happens when the x-value is equal to zero (starting point) so all we need to do there is substitute every x for zero so we get:

[tex]f(x)=-0.11x^{2}+2.2x+1[/tex]

[tex]f(0)=-0.11(0)^{2}+2.2(0)+1[/tex]

which yields:

[tex]f(0)=1 [/tex]

so the height of the ball when it is kicked is 1 ft.

In order to find the highest point of the ball in the air, we must determine the x-value where this will happen and that can be found by calculating the vertex of the parabola. (see the graph)

the vertex is found by using the following formula:

[tex]x=-\frac{b}{2a}[/tex]

in order to find "a" and "b" we must compare the given function with the standard form of a quadratic function:

[tex]f(x)=ax^{2}+bx+c[/tex]

[tex]f(x)=-0.11x^{2}+2.2x+1[/tex]

so:

a=-0.11

b=2.2

c=1

so the vertex formula will be:

[tex]x=-\frac{b}{2a}[/tex]

[tex]x=-\frac{2.2}{2(-0.11)}[/tex]

so we get that the highest point will happen when x=10ft

so the highest point will be:

[tex]f(10)=-0.11(10)^{2}+2.2(10)+1[/tex]

f(10)=12ft

so the highes point of the ball in the air will be (10,12) which means that the highest the ball will get is 12 ft.

. You deposit $600 in an account that earns simple interest. The difference between the total interest earned after 5 years and the total interest earned after 3 years is $24. What is the annual interest rate?

Answers

Answer:

The answer is .007874989

Step-by-step explanation:

Melanie earned $39 at her job when she worked for 3 hours. What was her hourly pay
rate in dollars per hour? Express your answer in simplest form.

Answers

Answer:

13

Step-by-step explanation:

To find the unit pay

you first had to do 39/3 (39 divided by 3) and then that answer you get is payment she receives in an hour

hour: 1  |   3

Pays: 13|  39

HOPE IT HELPS:)

The table gives the mass of liquids with a volume of 5 cm3. A 2-column table with 4 rows. Column 1 is labeled liquid with entries water, glycerin, milk, olive oil. Column 2 is labeled Mass (grams) with entries 5, 6.3, 5.15, 4.9. Density is the ratio of mass to volume. Density = mass volume What is the density of milk? Use the drop-down menu to complete the statement. The density of milk is StartFraction grams Over centimeters cubed EndFraction.

Answers

The answer would be 1.03! hopes this helps!

Answer:

1.03

Step-by-step explanation:

i did the assignment on edg 2020/2021

help plsssssssssssssssssssssss again

Answers

Answer:

35 degrees

Step-by-step explanation:

The lower quartile is the most left point of the box but not all the way to the whiskers

Angle c is inscribed in circle O. AB is a diameter of circle O. what is the radius of circle.​

Answers

Answer:

The value of radius is 7.5 units

Step-by-step explanation:

Given that a line that pass through the origin and form a triangle is a right-angle triangle. So in order to find the diameter/hypotenuse, you have to use Pythogaras Theorem :

[tex] {c}^{2} = {a}^{2} + {b}^{2} [/tex]

Let a = 12 units,

Let b = 9 units,

Let c = hypo.,

[tex] {hypo.}^{2} = {12}^{2} + {9}^{2} [/tex]

[tex] {hypo.}^{2} = 225[/tex]

[tex]hypo. = \sqrt{225} [/tex]

[tex]hypo. = 15 \: \: units[/tex]

We have found out that the hypotenuse of the triangle is the diameter of circle. So in order to find radius, you have to divide it by 2 :

[tex]radius = diameter \div 2[/tex]

[tex]radius = 15 \div 2[/tex]

[tex]radius = 7.5 \: \: units[/tex]

Answer: 7.5

Step-by-step explanation: Khan academy


Determine which ordered pairs are also in the relation where the rise is -2, the run is
3, and (6,2) lies on the line.

a) (-9, -12) and (-6, 2)
b) (-3, 4) and (3,8)
c) (0,9) and (-2, 12)
d) (9,0) and (12, -2)

Answers

Answer:

idk

Step-by-step explanation:

idk :)

The ordered pair that has a rise of -2 and a run of 3, and also lies on the same line as the point (6, 2) is: d) (9,0) and (12, -2)

The Rise and Run of a LineThe rise of a line is the change in the y-values.The run of a line is the change in the x-values.

The rise of the ordered pair, (9,0) and (12, -2):

Rise = change in y =  -2 - 0 = -2.

The run of the ordered pair, (9,0) and (12, -2):

Run = change in x = 12 - 9 = 3.

Therefore, the ordered pair that has a rise of -2 and a run of 3, and also lies on the same line as the point (6, 2) is: d) (9,0) and (12, -2)

Learn more about rise and run of a line on:

https://brainly.com/question/14043850

Which expression is equivalent to mn+z

Answers

Is an ecuation with out solution it stays same

if the area of circle one is equal to the diameter of circle two what is the ratio of the area of circle two to the area of circle one​

Answers

Answer:

0.7853981634

Step-by-step explanation:

it acually depends on the size of the circle. i asked google and they gave me that answer which is beloow "answer"

what is the answer to factorise 10x - 15

Answers

Answer:

5(2x-3)

Step-by-step explanation:

Answer:

Step-by-step explanation:

hello :

10x-15 = 5(2x-3)  ...the factor is : 5

Solve for the missing side

Answers

Answer:

c

Step-by-step explanation:

The expression (x2 - 5x - 2) - (-6x2 - 7x - 3) is
equivalent to

Answers

Answer:

7x² + 2x + 1

Step-by-step explanation:

(x² - 5x - 2) - (-6x² - 7x - 3)

Now, combine your like-terms together...

(x² - (-6x²)) + (- 5x - (-7x)) + (- 2 - (-3))

7x² + 2x + 1

Unit 5. 10) Please help. A rectangle with a width of 9 ft. and a length of 13 ft. is the base of a 30 ft. tall pyramid. What is the volume of the pyramid?

Answers

Answer:

Volume of that pyramid:

V = Base area x Height

  = (9 x 13) x 30

  = 3510 ft3

Hope this helps!

:)

Answer:

Yes they're right, the correct answer is option 3.

Consider rectangle ABCD with diagonals BD and AC

intersecting at

Which is true about the angle relationships in the

rectangle? Check all that apply.

BEA and 2 CED are vertical angles and equal

76

ZABE and 2 CBE are complementary angles,

BEC and CED are vertical angles,

-------

BEA and AED are supplementary angles

whose sum is 180°

O

BEC and

AED are adjacent angles,

Answers

Answer:

BEA and AED are supplementary angles  whose sum is 180°

Step-by-step explanation:

complete question is:

Consider rectangle ABCD with diagonals BD and AC  intersecting at E.

Which is true about the angle relationships in the  rectangle? Check all that apply.

BEA and 2×CED are vertical angles and equal  76 ABE and 2×CBE are complementary angles, BEC and CED are vertical angles,BEA and AED are supplementary angles  whose sum is 180° BEC and  AED are adjacent angles,

Answer:

it is abd

Step-by-step explanation:

What is the area of the base

Answers

The are of the base is 32 in^2. Since is 4 times 8

Find the mean, median, mode, and range of the data set.
23, 31, 26, 27, 25, 28, 23, 23, 25, 29, 29, 29, 25, 22, 30, 23

Answers

Answer:

Range: 9

Mode: 23

Median: 25.5

Mean: 26.1

Step-by-step explanation:

Arrange the data set from least to greatest.

22, 23, 23, 23, 23, 25, 25, 25, 26, 27, 28, 29, 29, 29, 30, 31

Range: Highest value - Lowest value =

Mode: The most number listed in the data set, or the listed numbers

Median: The middle number

Mean: finding the average of the data set

Range: 31 - 22 = 9

Mode: 23

Median: 25 + 26 = 51/2 = 25.5

Mean: 22 + 23 + 23 + 23 + 23 + 25 + 25 + 25 + 26 + 27 + 28 + 29 + 29 + 29 + 30 + 31 = 418/16 = 26.125 or 26.1

Unit 5. 8) Please help. Which of the two-dimensional cross sections listed below could be created by cutting a cube with a plane?

Select all that apply.

Answers

Answer:

hexagonrectanglesquaretrianglepentagon

Step-by-step explanation:

Only a straight line can be formed at the intersection of a plane with another plane. The faces of a cube are planes, so a 2-dimensional (planar) cross section of a cube cannot be a curve. It cannot be an ellipse or circle.

What polygons are possible?

The intersection of a plane with a cube can be a polygon with 3, 4, 5, or 6 sides. That is, the 2-D cross section of a cube can be ...

  triangle, rectangle, square, pentagon, hexagon

__

The attachment shows some possibilities.

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