what is the center of the circle represented by this equation?
(x-7)2 + (y+4)2 =9

Answers

Answer 1

Answer:

Center is [tex](7,-4)[/tex]

Step-by-step explanation:

Recall that the equation for a circle is [tex](x-h)^2+(y-k)^2=r^2[/tex] with center [tex](h,k)[/tex] and radius [tex]r[/tex]. Hence, the center is [tex](h,k)\rightarrow(7,-4)[/tex].

Answer 2

just a quick addition to the great reply above by "goddessboi"

[tex]\textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \qquad center~~(\stackrel{}{ h},\stackrel{}{ k})\qquad \qquad radius=\stackrel{}{ r} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ (x-7)^2+(y+4)=9\implies [x-\stackrel{h}{7}]^2+[y-(\stackrel{k}{-4})]^2=3^2~\hfill \stackrel{vertex}{(7~~,~~-4)}[/tex]


Related Questions

Three times a number decreased by 9

Answers

Answer:

3x-9

Step-by-step explanation:

Answer:

does this help?........

Can someone help me with this please

Answers

Answer:

17 is the answer for #4

Ali says that the perimeter of the rectangle on the coordinate plane is equal to 30 units , choose the correct answer that shows Ali's mistake ?

Answers

Answer:

perimeter =22units

Step-by-step explanation:

30units is supposed to be the are and its supposed to be 30 units squared

Find the value of the expression -20 / -4

Answers

so if the equation is -20/-4 then the answer should be 5

Answer:

5

Step-by-step explanation:

-20 / -4 = 5

A negative divided by a negative is positive!

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

What can be the last digit of a a square of a natural number?

Answers

Answer:

1, 4, 5, 6, & 9 are the only digits that can be the last digit of the square of a natural number.

Step-by-step explanation:

The bank requires that the Dotkoms pay their homeowner's insurance, property taxes,
and mortgage in one monthly payment to the bank. If their monthly mortgage payment
is $1,711.22, their semi-annual property tax bill is $3,239, and their annual homeowner's
insurance bill is $980, how much do they pay the bank each month?

Answers

Using proportions, it is found that they pay the bank $2332.72 each month.

What is a proportion?

A proportion is a fraction of a total amount.

Their payments are given by:

Monthly mortgage of $1,711.22.Semi-annual property tax bill is $3,239, that is, it is paid every 6 months, hence 3239/6 = $539.83.Annual insurnce of $980, hence 980/12 = $81.67 each month.

Then, the total amount is:

1,711.22 + 539.83 + 81.67 = $2332.72.

More can be learned about proportions at https://brainly.com/question/24372153

please help me I am so lost on this question. thank you have a good blessing day​

Answers

Answer: x=-3

Step-by-step explanation:

In this question, they simply want you to find a pair of x and y-coordinates that would be valid in this equation.

We can take a random number for x, like, say, 3.

y = 2x + 6

y = 2(3) + 6

y = 6 + 6

y = 12

Since giving the value of 3 to x results in y being 12, we can safely say that the coordinates (3, 12) would be valid in this equation. Therefore:

(12) = 2(3) + 6

Let me know if you need me to explain anything.

- Breezyツ

1/3=7/21, .. What are the means

Answers

Answer:

Equivelant fractions.

Step-by-step explanation:

Ask your self..

How did the 1/3 become 7/21?

Its very simple multiply 1/3's numerator and denominator by 7

So its going to be.. 1 x 7 = 7

3 x 7 = 21

Therefore, we have 7/21

Find the area of a rectangular park which is 183/5 m long and 50/3 m broad.

Answers

Answer:

Area of a triangle = l*b

                              = 183/5*50/3

                              = 36.6*16.66

                              = 609.756 m

The area of the triangle is 3 square miles.
h
2 mi.
What is the triangle's height, h?

Answers

Answer:

3 mi

Step-by-step explanation:

Use the equation for area of a triangle, A = 1/2 * base * height. Plug in the numbers you have and solve for the height, You get that 3 = 1/2 * 2 * h, and that h = 3.

Hopefully this helps- let me know if you have any questions!

Don’t mind my handwriting but can someone help me please

Answers

Answer: A: 3/5

Step-by-step explanation:

He made 9 shots

He attempted 15

The ratio will be 9/15, which can be simplified to 3/5

Have a nice day :)

Answer:

A) 3/5

Step-by-step explanation:

No.of baskets attempted = 15

No.of baskets made = 9

Given, To find the ratio of no.of baskets made to no.of baskets attempted

Then,

9:15 (or) 9/15

If we simplify 9/15, we get 3/5

THANKYOU

Please mark me as brainliest

Which of the following relations represent a function?
A. {(-1,-3),(3,2),(3,7)}
B.{(-1,4),(2,7),(3,7)}
C.{(-3,7),(3,-7),(3,7)}
D. {(-1,4),(-1,7),(3,5)}
100 POINTS

Answers

#A

(-1,3)(3,2)(3,7)

3 has two images 2,7 hence not a function

#B

(-1,4)(2,7)(3,7)

Every domain has unique range hence function

#C

(-3,7)(3,-7)(3,7)

3 has two images hence not a function

#4

-1 has two images hence not a function

PLEASE HELP!!!!!TIMED!!!!!! 21 MINS LEFT!!!! 30 POINTS!!!!!!!Which is the last operation performed when evaluating (8 - 2) * 4 for x=3

Answers

think of pemdas (parentheses, exponents,multiplication,division,addition,subtraction) so it would be multiplication

Answer:

Multiplication.

Parentheses comes first, regardless of PEMDAS. When you see parentheses, only the P for parentheses in PEMDAS should be your main concern.

HELP IS NEEDED ASAP! WILL MARK THE BRAINLIEST FOR THE CORRECT ANSWER, NOT SOME SPAM OF LETTERS.

Answers

Answer:

1. A: 1

2. B 2[tex]\pi[/tex]

Step-by-step explanation:

Hope this helps! Please let me know if you need more help, or if you think my answer is incorrect. Brainliest would be MUCH appreciated. Have a great day! :)

A company has been forced to reduce its number of employees. Today the company has 34% fewer employees than it did a year ago. If there are currently 297 employees, how many employees did the company have a year ago?

Answers

Since there are 34% fewer, you multiply 297 x 0.34 = 100.98
Then you add 100.98 to 297 = 397.98
They had 397 employees.

Solve this quadratic equation by completing the square

x^2=12x+17

Answers

Answer:

[tex]\large\boxed{\red{\sf x =6+\sqrt{53},6-\sqrt{53}} }[/tex]

Step-by-step explanation:

We would like to solve the given quadratic equation by completing the square method .The given equation is ;

[tex]\longrightarrow x^2=12x +17[/tex]

Subtract 12x to both sides ,

[tex]\longrightarrow x^2-12x = 17 [/tex]

Here the co-efficient of x² is already 1 . So , we shall rewrite it as ,

[tex]\longrightarrow x^2-2(6)(x) = 17 [/tex]

Add 6² on both sides ,

[tex]\longrightarrow x^2-2(6)(x) + 6^2=17+6^2 [/tex]

Now LHS is in the form of (a-b)² = a²-2ab+ ; so that ;

[tex]\longrightarrow (x -6)^2 = 17+36 [/tex]

Simplify RHS ,

[tex]\longrightarrow (x-6)^2=53 [/tex]

Put square root on both sides,

[tex]\longrightarrow (x-6) = \pm\sqrt{53}[/tex]

Add 6 on both sides,

[tex]\longrightarrow x = 6\pm\sqrt{53} [/tex]

Separate the two solutions ,

[tex]\longrightarrow \underline{\underline{x =6+\sqrt{53},6-\sqrt{53}}} [/tex]

And we are done!

HELP ME PLSSSSSSSSSSSS

Answers

Answer:

  7 cubic units

Step-by-step explanation:

There are 6 unit cubes on the bottom layer, and one on the top layer. The total volume is ...

  6 +1 = 7 . . . . cubic units

Write an equation of a line through (5,6) and perpendicular to the line through (4,8) and (-2,-18). please help, will mark brainliest. You also get 10 points

Answers

Answer:

y = 4 1/3x+ 6  

Step-by-step explanation:

Step 1. The slope-intercept form is given as y=mx+b where m is the slope and b is the y-intercept. The y-intercept occurs at x=0 or point (0,b).

-18 -8 / -2 - 4 =  -26 / -6  = 4 1/3  perp = - 4 1/3  =  y=4 1/3 x+b

Step 2. -18 -8 / -2 - 4 =  -26 / -6  = 4 1/3  perp = - 4 1/3  is a vertical line or parallel to the y-axis. So a line perpendicular to x= 4 1/3  is a horizontal line parallel to the x-axis.

Step 3. Therefore y= 4 1/3  is a horizontal line parallel to the x-axis. Now, the line needs to pass through point (5,6) or x=5 and y=6. Then, y=b=6 or y=6 is the equation of the line. but then  x = 4 1/3   so y = 4 1/3x + 6  

Step 4. ANSWER: The equation is  y = 4 1/3x+ 6  where slope m=4 1/3 and y intercept b=6.  

6 cupcakes for £5 or 4 cupcakes for £3.50​

Answers

Answer:

6 cupcakes for £5

Step-by-step explanation:

Given :-

Two options

6 cupcakes for £54 cupcakes for £3.50​

To Find :-

Which is better value for money

Solving :-

Find the cost of one cupcake of the two options

1. 6 cupcakes = £5

=> 1 cupcake = £0.83

2. 4 cupcakes = £3.50

=> 1 cupcake = £0.875

Solution :-

It would be wiser to purchase 6 cupcakes for £5

Use the Law of Sines to solve (if possible) the triangle. If two solutions exist, find both. Round your answers to two decimal places. (If not possible, enter IMPOSSIBLE.) A = 72°, a = 34, b = 21

Answers

Answer:

Given: A = 72°, a = 34, b = 21

Calculated: B = 35.97°, C = 72.03°, c = 34.00

Step-by-step explanation:

[tex] \dfrac{\sin A}{a} = \dfrac{\sin B}{b} [/tex]

[tex] \dfrac{\sin 72^\circ}{34} = \dfrac{\sin B}{21} [/tex]

[tex] \sin B = \dfrac{21\sin 72^\circ}{34} [/tex]

[tex] \sin B = 0.5874 [/tex]

[tex] B = \sin^{-1} 0.5874 [/tex]

[tex] B = 35.97^\circ [/tex]

C = 180° - 72° - 35.97°

C = 72.03°

[tex] \dfrac{\sin A}{a} = \dfrac{\sin C}{c} [/tex]

[tex] \dfrac{\sin 72^\circ}{34} = \dfrac{\sin 72.03^\circ}{c} [/tex]

[tex]c = \dfrac{\sin 72.03^\circ \times 34}{\sin 72^\circ}[/tex]

[tex] c = 34.00 [/tex]

Given: A = 72°, a = 34, b = 21

Calculated: B = 35.97°, C = 72.03°, c = 34.00

Answer:

[tex]B\approx35.97^\circ\\C\approx72.03^\circ\\c\approx34[/tex]

Step-by-step explanation:

Law of Sines

[tex]\frac{sinA}{a}=\frac{sinB}{b}=\frac{sinC}{c}[/tex]

Given information

[tex]A=72^\circ\\a=34\\b=21[/tex]

Check if solutions exist

As [tex]A=72^\circ < 90^\circ[/tex] and that [tex]a > b\rightarrow 34 > 21[/tex], then there exists only one possible triangle by the Ambiguous Case

Solve the triangle

[tex]\frac{sin(72^\circ)}{34}=\frac{sin(B)}{21}\\ \\ 21sin(72^\circ)=34sin(B)\\\\\frac{21sin(72^\circ)}{34}=sin(B)\\ \\B=sin^{-1}(\frac{21sin(72^\circ)}{34})\\ \\B=35.97394255^\circ\approx35.97^\circ[/tex]

[tex]A+B+C=180^\circ\\\\72^\circ+35.97394255^\circ+C=180^\circ\\\\107.97394255^\circ+C=180^\circ\\\\C=72.02605745^\circ\approx72.03^\circ[/tex]

[tex]\frac{sin(72^\circ)}{34}=\frac{sin(72.02605745^\circ)}{c}\\\\c*sin(72^\circ)=34sin(72.02605745^\circ)\\\\c=\frac{34sin(72.02605745^\circ)}{sin(72^\circ)}\\ \\c=34.00502065\approx34[/tex]

V= 11.43

L= 2.5

W= 1.2

Answers

Depth is 3.81

Step-by-step explanation:

V = l x w x d

11.43 = 2.5 x 1.2 x d

11.43 = 3 x d

÷3

3.81 = d

Hope this helps!

Shelley is going shopping before her vacation. Each outfit costs $20 and she wants to spend no more than $180. Write an inequality that represents the number of outfits, f, she can purchase without going over her $180 budget

Please help I'm failing math

Answers

20(f)=180
I hope it’s right I believe it is

20% of what number is = to 5% of 680

Answers

Answer:

Solution

20%× X= 5%×680

or, X=170.

The required number is 170.

The amount of money spent at a gas station varies directly with the number of gallons purchased. When 15.5 gallons of gas was purchased , the cost was $48.67. What is the cost for 9 gallons of gas?

Answers

The cost for 9 gallons will be $4.3903

Answer:

$28.26

Step-by-step explanation:

In order to find out how much each gallon of gas cost, you need to divide the $48.67 by the 15.5 gallons. This would equal 3.14 So the cost for one gallon is $3.14

Then you would need to multiply this number by the 9 gallons to get the price. Which would equal $28.26

Which is equal to 3 x 2-4

Answers

Answer:

2

Step-by-step explanation:

Answer:

the correct answer is 2

Step-by-step explanation:

hope you have a great day -TJ

may i pls have brainliest thank you

Triangle ABC is shown with its incenter at D. The inscribed circle's radius measures 2 units. The length of AB is 9 units. The length of BC is 10 units. The length of AC is 17 units.
What is the area of triangle ACD?
What is the area of triangle ABC?

Answers

The area of triangle ACD and ABC are 17 and 46.75 square units respectively

How to find the area of a triangle

The formula for finding the area of a triangle is expressed as:

A = 0.5bh

where:

b is the base

h is the height

Area of the triangle ACD = 0.5DE * AC

Area of the triangle ACD = 0.5(2)(17)

Area of the triangle ACD = 17 square units

For the triangle ABC

Area =  0.5(BE)(AC)

Area= 0.5(5.5)(17)

Area = 46.75square units

Hence the area of triangle ACD and ABC are 17 and 46.75 square units respeectively

Learn more on area of triangle here:  https://brainly.com/question/17335144

NEED HELP ON HELP ON HOW TO DO THIS

You have triangle JKL. Angle J is a right triangle. Angle K has a measure of 40 degrees. Side k=26. Solve the triangle. Round angles and sides to nearest tenth.

Answer choices:

A) Angle L= 50 degrees, side L= 31.0, side J= 40.4

B) Angle L= 50 degrees, side L= 33.3, side J= 42.8

D) Angle L= 50 degrees, side L= 21.8, side J= 33.9

E) Angle L= 50 degrees, side L= 33.9, side J= 21.8

Pls give explanation!!

Answers

Answer:

Option E

Step by step explanation:

We know that angle J is a right angle meaning it's an angle 90 degrees. So to find angle L;

90+40+L=180

130+L=180

L=180-130

So therefore angle L =50 degrees

Now to find side J which is the opposite in the triangle,we use tan because it has adjacent and opposite which is what we're looking for;

Tan 40 degrees =opposite/26

We cross multiply

Opposite =Tan 40 degrees×26

Opposite =21.8

Side J=21.8

With side J found we can find side L using Pythagoras theorem

L^2=21.8^2 +26^2

L^2=475.24+676

L^2=1,151.24

L=Square root of 1,151.24

L=33.9

Answer:

  A) Angle L= 50 degrees, side L= 31.0, side J= 40.4

Step-by-step explanation:

The mnemonic SOH CAH TOA is intended to remind you of the relationship between trig functions and sides of a right triangle. The given side of k is opposite the given angle K, so the sine or tangent functions can be used to find missing sides. If we want to start with the hypotenuse, we can use the relation ...

  Sin = Opposite/Hypotenuse

  sin(40°) = 26/j

  j = 26/sin(40°) ≈ 40.4 . . . units (matches choice A)

Similarly, we can use the tangent relation to find side ℓ:

  Tan = Opposite/Adjacent

  tan(40°) = 26/ℓ

  ℓ = 26/tan(40°) ≈ 31.0 . . . units (matches choice A)

Of course, angle L is the complement of 40°:

  L = 90° -40° = 50°

The solution to the triangle is L = 50°, ℓ = 31.0, j = 40.4.

1. Write the equation for each of the following:
- Slope Intercept:
- Point-Slope:
- Standard Form:

Answers

The answer above is correct my dude

Find the slope of the line joining the points (2, 5) and (3, 1)​

Answers

Slope = change in Y / change in x


slope = (1-5) /(3-2)

Slope = -4/1

Slope = -4

Answer:

slope = -4

Step-by-step explanation:

The formula for finding slope is (y2 - y1)/(x2 - x1)

x1 = 2

y1 = 5

x2 = 3

y2 = 1

Plugging in our numbers,

(1 - 5)/(3 - 2) = -4/1

= -4

Outside temperature over a day can be modelled as a sinusoidal function. Suppose you know the high
temperature of 83 degrees occurs at 5 PM and the average temperature for the day is 65 degrees. Assuming
t is the number of hours since midnight, find an equation for the temperature, D, in terms of t.

Answers

Answer:The temperature at 4 AM is 41 degrees.

Step-by-step explanation:

We have an average temperature of 45 degrees and a high of 53 degrees. That makes the midline 45 and the amplitude 8.

We could spend some time trying to figure out how to get a graph in which x=0 corresponds to midnight. However; that is not necessary. We can use any sinusoidal function we want, as long as we understand which part of the graph corresponds to what hour of the day.

So with midline 45 and amplitude 8, let's choose a simple function:

f%28x%29+=+45%2B8sin%28x%29

The time at which we are to find the temperature, 8 AM, is 8 hours before 4 PM, which is the time when the temperature is maximum. 8 hours is 1/3 of a day, so we want to find the temperature 1/3 of a cycle before 4 PM.

Since we are using a sine function with no horizontal shift, the time of maximum temperature, 4 PM, corresponds to 1/4 of the way through a cycle, at pi/2.

We want to go back 1/3 of a cycle, or (2/3)pi, from pi/2; that puts us at -pi/6.

That makes it easy to find the temperature at 4 AM without a calculator:

45%2B8%2Asin%28-pi%2F6%29+=+45%2B8%28-.5%29+=+45-4+=+41

The temperature at 4 AM is 41 degrees.

Answer:

probably he temperature at 4 AM is 41 degrees.

Step-by-step explanation:

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Colins piano lesson is 45 minutes, or Three-fourths of an hour, long. If he practices 6 different songs and spends an equal amount of time on each song, what fraction of an hour does he spend practicing each song? Which of the following is true of total variable overhead variance? a.It can be divided into spending and rate variances. b.It shows only the effect of differences in the prices of overhead variances. c.It always depends on the actual hours used. d.It is the difference between actual and applied variable overheads. HELP!!! 100 POINTS ANSWER FAST What has caused violence in Rwanda and Burundi?conflict between the Hutu and Tutsi ethnic groupsnationalization of land and businesseseconomic problemsthe HIV/AIDS epidemic Read this excerpt from The Call of the Wild by Jack London.Buck had accepted the rope with quiet dignity. To be sure, it was an unwonted performance: but he had learned to trust in men he knew, and to give them credit for a wisdom that outreached his own. But when the ends of the rope were placed in the stranger's hands, he growled menacingly. He had merely intimated his displeasure, in his pride believing that to intimate was to command. But to his surprise the rope tightened around his neck, shutting off his breath.Which type of conflict is shown in this excerpt?character vs. selfcharacter vs. naturecharacter vs. charactercharacter vs. society A two digits number is seven times the sum of its digits . The number formed by reversing the digits is 18 less than the original number. Find the number . what is the area of a triangle with vertices at (0,0), (0,4) and (4,5)? Which of the following statements best describes James Audubons intentions when he painted, Wild Turkey?a.He intended to portray the bird realistically, and yet also show its unique and beautiful qualities.b.He intended to change peoples perception of the wild turkey, by showing how beautiful it can be when looked at through an artistic eye.c.He intended to show the gracefulness of a wild turkey in motion.d.He intended to do all of the above through his painting, Wild Turkey. Proteins in the cell membrane that identify the cell are calledA. enzymesB. transport proteinsC. cell-surface markersD. receptor proteins 2x + y = 2-3x + y = 4Transfer these into y=mx+b help? i will give brainliest 8.Two identical number cubes are shown in the picture. The edge length of these number cubes is 3 centimeters.What is the combined volume of the two number cubes in cubic centimeters? what event early in Ford's administration drastically lowered his popularity with the American people Mark Bought a concert ticket for $88 then sold it for $121. By what percent did the price go up. HELP 100 POINTS What is the measure of A in the image below? Triangle TRW is shown on the coordinate grid. x, y, t, r, w Triangle TRW will be dilated by a scale factor of n with the origin as the center of dilation to create triangle TRW. Which ordered pair best represents the location of point R? You have two cubes thatyou fill with waterto make ice cubes. The first cube has a sidelength of 3 units. The second cube has aside length of 5 units. Write anexpressionthat you can use to find the total volume ofice you can make. The water level in a tank measures 15 inches and is decreasing 0.5 inches every minute. How many minutes, x, will it take for the water level to measure 9 inches deep? Label the place value of 74.92. one bath of cookies calls for 5 cups of flour for every 3 cups of chocolate chips how many cups of flour should be used for 27 cups of chocolate chips