Find the center and radius of a circle with the equation x² + y2 +6x–8y +16= 0.
a. (-3, 4);r=3
b. (3,-4);r=3
c. (-3, 4);r=9
d. (3,-4);r=9

Answers

Answer 1
The answer would be (3,-4);r=3

Related Questions

PLEASE HELP*** (picture attached)

Answers

Answer:

i remember doing this but i forgot the answers

Step-by-step explanation:

sorry :(

Answer:

0,0 means the origin so put place it on the origin.

How much did he originally deposit??

Answers

Answer:

$200

Step-by-step explanation:

200/5=40

40x5=200

To solve, you multiply the interest by the interest rate

This gets you the total. The interest is also seperate amount so he now has $240

Options
26%
40%
90%
50%

Answers

Answer:

not so sure but i guess its 50%... i am so sorry if it is wrong..if it is wrong dont forget to tell me the right answer(:

Which value(s) of x are solution(s) of the equation below

Answers

Answer:

x =-1 , x=4

Step-by-step explanation:

[tex]\frac{1}{x-4}+\frac{x}{x-2}=\frac{2}{x^2-6x+8}\\\\\mathrm{Multiply\:by\:LCM=}\left(x-4\right)\left(x-2\right)\\\\\frac{1}{x-4}\left(x-4\right)\left(x-2\right)+\frac{x}{x-2}\left(x-4\right)\left(x-2\right)=\frac{2}{x^2-6x+8}\left(x-4\right)\left(x-2\right)\\\\Simplify\\\\x-2+x\left(x-4\right)=2\\\\Solve\\\\x=4,\:x=-1[/tex]

Answer:

[tex] \frac{1}{x - 4} + \frac{x}{x - 2} = \frac{2}{ {x}^{2} - 6x + 8} \\ \\ \frac{1}{x - 4} + \frac{x}{x - 2} = \frac{2}{(x - 4)(x - 2)} \\ \\ \frac{(x - 2) + x(x - 4)}{(x - 4)(x - 2)} = \frac{2}{(x - 4)(x - 2)} \\ \\ x - 2 + {x }^{2} - 4x = 2 \\ \\ {x}^{2} - 3x - 4 = 0 \\ (x - 4)(x + 1) = 0 \\ x = 4 \: \: and \: \: x = - 1[/tex]

find the missing sides of the triangle

Answers

Answer:

D

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin30° = [tex]\frac{1}{2}[/tex] , then

sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{12}{f}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

f = 24

----------------------------------------------------------------

Using the cosine ratio and the exact value

cos30° = [tex]\frac{\sqrt{3} }{2}[/tex] , then

cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{e}{f}[/tex] = [tex]\frac{e}{24}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )

2e = 24[tex]\sqrt{3}[/tex] ( divide both sides by 2 )

e = 12[tex]\sqrt{3}[/tex]

Answer:

F=24 and e=12[tex]\sqrt{3}[/tex]

Step-by-step explanation:

At the start of 2014 Mike's car was worth £12000.
The value of the car decreased by 30% every year.
Work out the value of his car at the start of 2017.

Answers

The value of the car at the start of 2017 will be £ 4116

Triangle ABC with vertices A(4, −6), B(2, −8), and C(−10, 4) is dilated by a scale factor of 2 to obtain triangle A′B′C′. Which statement best describes triangle A′B′C′? (5 points) Group of answer choices
It is congruent to triangle ABC and has coordinates A′(8, −12), B′(4, −16), and C′(−20, 8).
It is congruent to triangle ABC and has coordinates A′(2, −3), B′(1, −4), and C′(−5, 2).
It is similar to triangle ABC and has coordinates A′(8, −12), B′(4, −16), and C′(−20, 8).
It is similar to triangle ABC and has coordinates A′(2, −3), B′(1, −4), and C′(−5, 2).

Answers

Answer:

I believe it is A I may be wrong

It is similar to Triangle ABC and has coordinate A'(8, -12), B'(4, -16), and C' (-20, 8).

Since its getting dilated by 2 it will be getting bigger

I don't understand how to prove it's tangent. Help quickly please.

Answers

Step-by-step explanation:

by using pythagorean theorem:

XW²+XY²=

(2×6.4)² + 9.6² =

12.8²+9.6²=

163.84 + 92.16= 256

WY²= 16²= 256

so, XW²+XY²=WY²

=> the WXY is a right triangle, and X is a right angle.

so XY is perpendicular to XW as the diameter of circle Z.

and XY is tangent to circle Z

Help pleaeee?!,!,!,?,?,!

Answers

Step-by-step explanation:

the first equation (red line) :

y = -x -6

the second equation ( blue line) :

y = 2x -3

the solution :

(-1, -5)

HELP!! An apartment building is infested with 6.2 x 10^3 rats. on average each of these rats produces 5.5 x 10^1 offspring each year. assuming no rats leave or die, how many additional rats will live in this building one year from now? write your answer in standard form.

Answers

The additional rats will live in this building one year from now is 3.41 x 10^5.

What is the additional number of rats?

Standard form is used in expressing large numbers in smaller numbers. In order to write a number in standard form, the number is written as a decimal number, between 1 and 10 and multiplied by a power of 10.

(6.2 x 10^3) x ( 5.5 x 10^1) = 34.10 x 10^4

= 3.41 x 10^5

To learn more about standard form, please check: https://brainly.com/question/25334755

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HELP ILL GIVE BRAINLIEST

Answers

Answer:

-2/3

Step-by-step explanation

Use the two points on the graph to calculate the slope. (2, -1) and (-4, 3)

The formula is (y2 - y1)/(x2 - x1) so (3 - (-1))/(-4 - 2) = 4/-6 = -2/3

Jenny has 3 times as many new toys as she has favorite toys. The total number of toys is 60. How many favorite toys might Jenny have?

Answers

Answer:Jenny has 15 favorite toys

Step-by-step explanation:

Jenny has 3 times as many new toys as she has favorite toys means that the ratio of new toys to favorite toys can be written as 3:1

Total Ratio=3+1=4

Since the total number of toys is given as 60

Amount of Favorite toys = ratio of favorite toys / Total ratio x Total number of toys

Amount of Favorite toys = 1/4 x 60=15

Therefore Jenny has 15 favorite toys.

Two angles are supplementary. One angle has a measure of 51 degrees. What is the measure of the second angle?

Answers

Answer:

129°

Step-by-step explanation:

Sum of supplementary angles = 180°

One angle = 51°

Other angles = 180° - 51°

                      = 129°

Plz mark as brainliest!!!!!

Find the area of the shaded region.
800
5 cm
A=[?] cm2
Enter a decimal rounded to the nearest tenth.
Enter

Answers

If the radius of the circle is 5 cm and central angle is 80° then the area of the shaded region is 61.06.

Given that the radius of the circle is 5 cm and central angle is 80°.

We are required to find the area of the shaded region.

The area of the shaded region is basically the difference between the area of the whole circle and the area of the arc which is not shaded.

Area of circle=π[tex]r^{2}[/tex]

=3.14*25

=78.5 [tex]cm^{2}[/tex]

Area of the arc =([tex]r^{2}[/tex]Θ)/2

=(25*80π)/2*180

=(25*80*3.14)/360

=6280/360

=17.44

Area of the shaded region=78.5-17.444

=61.056

After rounding off to the nearest tenth it will be as under:

=61.06

Hence if the radius of the circle is 5 cm and central angle is 80° then the area of the shaded region is 61.06.

Learn more about area at https://brainly.com/question/25965491

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After 6 years how much money will she have?

Answers

Answer:

$4,255.557336768

Step-by-step explanation:

I think.

$19,080 If my math isn’t wrong

A sphere has a volume of 972π cm3. What is its radius in centimeters

Answers

Answer:

radius = 6.15

Step-by-step explanation:

cuz ik can u mark me brainliest?

12. Three-fifth of senior students are girls;
a) What is the fraction of boys?
b) If there are 120 boys, how many girls are there?​

Answers

Answer:

There are 72 girls

Step-by-step explanation:

3/5 = 60%

So 60% of 120 is 72

Hope this helps!

3. Choose a word from below to match the definition. Inability to pay back money owed is called
Budget
O Expense
O Debt
O Income
O Bankruptcy

Answers

Its Debt :D, good luck !

Help please............. please

Answers

Answer:a!

Step-by-step explanation:

Answer = A


step by step explanation:

SOMEONE PLEASE HELP ME! I promise i will mark brainlest, but i need the right answer for this. help is much appreciated <3

Answers

CCCCCCC

the best answer

Answer: the second one well because... i dont know how to explain it

5x+8y=-12 3x+5y=-7 what is the solution

Answers

Answer:

[tex]5x + 8y = - 12 - - - (a) \\ 3x + 5y = - 7 - - - (b) \\ 3\times (a) - 5 \times (b) : \\ = > 0x - y = - 1 \\ y = 1 \\ 3x + 5 = - 7 \\ 3x = - 12 \\ x = 4 \\ { \boxed{x = - 4}} \\ { \boxed{y = 1}}[/tex]

X = -4 Y = 1 are the answers ifkffjdjskvisjnencjdnsn

What is the simplified form of (2 + 4) - 15?

Answers

Answer:

(6)-15

=

simplified to 9.

Select one:

A- 25%

B- 15%

C- 20%

D- 30%

Answers

Answer:

what i dont get what you are trying to ask

Step-by-step explanation:

Answer:

30%

Step-by-step explanation:

honestly i don't know i'm just guessin so i can get points

What is the length of the hypotenuse?

Answers

Answer:

Step-by-step explanation:

pythagoras theorem

a^2+b^2=c^2

9^2+12^2=c^2

81+144=c^2

[tex]\sqrt{225[/tex]=c

15=c

2w^2-9w+3=-4w solve the equation for all real solutions

Answers

Answer:

w= 1

w= 3/2

Step-by-step explanation:

BRAINLIEST

PLZ HELP!

Answers

Answer:

C

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

You just multiple two of the equation will do

What is geometric mean of 4 and 32???????​

Answers

Answer: 18

Step-by-step explanation:

I just found the number in between  

Answer:

8[tex]\sqrt{2}[/tex]

Step-by-step explanation:

The geometric mean of 2 numbers a and b is [tex]\sqrt{ab}[/tex] , then

[tex]\sqrt{4(32)}[/tex]

= [tex]\sqrt{128}[/tex]

= [tex]\sqrt{64(2)}[/tex]

= [tex]\sqrt{64}[/tex] × [tex]\sqrt{2}[/tex]

= 8[tex]\sqrt{2}[/tex]

Which inequality is represented by the graph

Answers

C because of the way it goes up

Please help me. Either answer the question or tell me in which quadrant do I need to start graphing, please.

Answers

Answer:

The rule for a reflection over the x-axis is (x,y)→(x,−y).

Step-by-step explanation:

Take the coordinates of each letter. For example J = (1,-1). Transform it based on the rule above. (1,-1) -> (1,1). Do this for each of the letters. If you want me to check over your answers once you're done, I can do that in the comment section below.

what is called intersection of two sets​

Answers

Answer:

In mathematics, the intersection of two sets A and B, denoted by A ∩ B, is the set containing all elements of A that also belong to B (or equivalently, all elements of B that also belong to A).

Step-by-step explanation:

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