(x-8)^2+(y+4)^2=12 find the coordinates of the center and the Measure of the radius for a circle

Answers

Answer 1

Answer:

Center: (8, -4)

Radius: 2√3

General Formulas and Concepts:

Algebra I

Coordinates (x, y)

Pre-Calculus

Circle Center-Radius Equation: (x - h)² + (y - k)² = r²

(h, k) is centerr is radius

Step-by-step explanation:

Step 1: Define

Identify

(x - 8)² + (y + 4)² = 12

(h, k) = (8, -4)

r² = 12 → r = √12 = 2√3


Related Questions

somebody help me out asap

Answers

Answer:

the first one doesn't represent function

Step-by-step explanation:

in the domain, x can only be once.

Determine whether the parallelogram is a rhombus, rectangle, square, or none. Explain.
Q(1,5), R(3,8), S(5,5), T(3,2)
Help ASAP

Answers

QRST is a rhombus

Let’s look at the diagonals
Length QS = sr(4^2 + 0) = 4
Length RT = sr(0 + 6^2) = 6
This means it cannot be a square or rectangle as they both have equal length diagonals.

QS is horizontal (y values same)
RT is horizontal (x values same)
This means it is a rhombus because diagonals are perpendicular and different lengths.

Squares have perpendicular diagonals of same length
Rectangles have diagonals of same length but not perpendicular

The angle of elevation to a nearby tree from a point on the ground is measured to be
31°. How tall is the tree if the point on the ground is 62 feet from the tree? Round
your answer to the nearest tenth of a foot if necessary.

Answers

Answer:

37.3 ft

Step-by-step explanation:

tan A = opp/adj

tan 31° = x/62

x = 62 * tan 31°

x = 37.3 ft

The height of the tree is 37.25 ft if the point on the ground is 62 feet from the tree.

What is the right triangle?

A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.

Trigonometric ratios are used to demonstrate the connection between the sides and angles of a right-angled triangle.

Let h denote the tree if the point on the ground is 62 feet from the tree.

The angle of elevation = 31°. Hence:

tan 31° = h/62

h = 62 × tan 31°

h = 37.25 ft

Thus, the height of the tree is 37.25 ft if the point on the ground is 62 feet from the tree.

Learn more about the right triangle here:

https://brainly.com/question/11899922

#SPJ6

What is the volume, in cubic inches, of a basketball with a diameter of 9 inches?
A.121.5π
B.273.4π
C.324π
D.972π

Answers

Answer:

the answer is c

C.324π

What is 100 ÷ 5 × 4 + 43
A. 69
B. 144
C. 0.3
D. 1.2

Answers

123 - Use PEMDAS but since you have both division and multiplication you can just go from left to right

Answer:

123

Step-by-step explanation:

100 ÷ 5 x 4 + 43

20 x 4 + 43

80 + 43

123

Which of the following equations would be the result of using completing the square to solve the equation 3x 2 + 11x - 4 = 0?

Answers

Answer:

Answer:(x+11/6)^2 = 169/36

Step-by-step explanation:

3x^2 + 11x - 4 = 0

x^2 + (11/3)x = 4/3

(x+11/6)^2 = 169/36

Step-by-step explanation:

The equation of a line is 5x + 10y = 15

Answers

Answer:

c

Step-by-step explanation:

I don't think I understand this one try graphs n diagram

Em uma competição esportiva uma equipe ganhou 80 medalhas sendo que 25% de ouro 35% de prata e o restante de blusa e qual o número de medalhas de bronze que essa equipe ganhou

Answers

Answer:

32 medals

Step-by-step explanation:

Given that

The team wons 80 medals

out of which 25% is gold

35% is silver

and rest is bronze

we need to find out the number of bronze medals that win by the team

The total percentage is 100

So, the remaining percentage is

= 100 - 25 - 35

= 40%

So, the number of bronze medal should be

= 40% of 80 medals

= 32 medals

which of the following is equivalent to (i+3)+i(2i-4)

a. -5i + 1
b. -3i + 1
c. i-3
d. -i + 3

Answers

Answer:

answer is b

Step-by-step explanation:

i+3 -2 -4i = 1-3i

The expression that is equivalent to (i+3)+i(2i-4) is -3i  +  1

Option B is correct

The given expression is:

(i+3)+i(2i-4)

Open the parenthesis by expanding the expression using the distributive rule

i  +  3  +  2i²  -  4i

Note that i²  =  -1

The expression, therefore, becomes:

i  +  3  +  2(-1)  -  4i

i  +  3  -  2  -  4i

Collect like terms by bring the real parts together and the imaginary parts together

i  -  4i   +  3  -  2

Simplify to get the final expression

-3i  +  1

Therefore, the expression that is equivalent to (i+3)+i(2i-4) is -3i  +  1

Learn more here: https://brainly.com/question/12375854

Oof, I'm to tired to remember how to do this T-T
Can anyone help asap? This is timed. Brainliest for best answer!!

Answers

Answer:

D

Step-by-step explanation:

Equation of the line

y - y1 = m(x - x1)

y - (-4) = 1/3 (x - 3)

y + 4 = 1/3x - 1

y = 1/3 x - 5

the graph that intercept y axis in -5 is the graph D

Answer:

i can't remember how to do this rn because its like 2:30am

C seems like most accurate answer, if this is wrong im really sorry :C

Step-by-step explanation:

What's the surface area of the pyramid?

Answers

The Answer is C    226.8 ft

I remember doing this not to long ago

I think the answer is C

Circle D is shown. Angles F A E, F D E, and F B E intercept arc F E. ∠FAE measures 72°. What other angle must measure 72°? ∠BFD ∠DEA ∠EDF ∠FBE

Answers

Answer:

Option D, ∠FBE

Step-by-step explanation:

The image for the question is attached herewith

Solution

As per the property of arc,  angles subtended by the same arc (chord) on the circumference of a circle have equal measures.

∠FAE is an angle subtended by the arc FE that touches the circle at point 'A'.

∠FBE is also subtended by the arc FE at the point 'B'.

Therefore, we must have

m∠FAE = m∠FBE.

Since, m∠FAE = 72°, so  m∠FBE = 72°.

Hence, option D, ∠FBE

Answer:

Its D

Step-by-step explanation:

Give him brainlest.

pls help me answer this question and plsss do not send link

QUESTION:
The angled of a triangle are (x-40), (x-20), (1/2- 10), find x

Answers

Answer:

x=124.75

Step-by-step explanation:

Sum of angles of a triangle=180°

(x-40)+(x-20)+(1/2- 10)=180°

(x-40)+(x-20)+(−9.5)=180°

x-40+x-20−9.5=180°

x+x-40-20-9.5=180°

2x−69.5=180°

2x=180°+69.5

2x=249.5

2x/2=249.5/2

x=124.75

What is the constant rate of change shown in the table?


A. 5 mph

B. 1.5 mph

C. 15 mph

D. 1/5

Answers

a

0*5 =0

1*5=5

2*5=10

3*5=15

a box in the shape of a rectangular prism has the dimensions shown. what length of the interior diagonal of the box? round to the nearest tenth.
100 cm
80 cm
60 cm

Answers

Answer:

where is the diagram

pls correct

Erica took out a loan to buy her new motorcycle. The purchase price of the motorcycle was $11349.00 plus 5% GST and 7% PST. She pays $409.00 per month on her loan, which has a term of 3 years. How much more is she paying than the purchase price? a. $2415.74 b. $1610.50 c. $2254.69 d. $2013.12

Answers

Answer:

The correct answer is D. $2,013.12.

Step-by-step explanation:

Since Erica took out a loan to buy her new motorcycle, and the purchase price of the motorcycle was $ 11349.00 plus 5% GST and 7% PST, and she pays $ 409.00 per month on her loan, which has a term of 3 years, for To determine how much more is she paying than the purchase price, the following calculation must be performed:

11,349 + (11349 x 0.12) = X

11,349 + 1,361.88 = X

12,710.88 = X

409 x 12 x 3 = X

4,908 x 3 = X

14.724 = X

14,724 - 12,710.88 = X

2,013.12 = X

Therefore, Erica is paying $ 2,013.12 more than the purchase price.

25 POINTS Find the slope of the line khan academy

Answers

Answer:

-8/5

Step-by-step explanation:

Using the points given ( -1,4) and (4,-4)

We can use the slope formula

m = ( y2-y1)/(x2-x1)

    = ( -4 -4)/(4- -1)

    = (-4 -4)/(4+1)

    = -8/5

Which expression is equal to 2sin(pi/10)cos(pi/10)?

Answers

Answer:

sin pi/5,

Step-by-step explanation:

Cylinder A has a radius of 12 inches and a height of 6 inches. Cylinder B has a volume of 648π. What is the percent change in volume between cylinders A and B? (5 points)



Question 6 options:

1)

Cylinder B is 50% smaller than cylinder A.


2)

Cylinder B is 25% smaller than cylinder A.


3)

Cylinder B is 150% bigger than cylinder A.


4)

Cylinder B is 200% bigger than cylinder A.

Answers

Answer: 2) Cylinder B is 25% smaller than cylinder

A parallelogram has an area of 300 square kilometers and a height of 20 kilometers. What is the length of the base?

Answers

Answer: the length of the base is 15 kilometers.

Step-by-step explanation:

formula : Area of parrallelogram  = Length of base x height

Given: Area of parallelogram = 300 square kilometers

height = 20 kilometers

Substituting values in the formula , we get

300 = Length of base x 20

Length of base  = [tex]\frac{300}{20}[/tex]

= 15 kilometers

Hence, the length of the base is 15 kilometers.

Solve by elimination
-6x+y= -2
-3x-6y= 12

Answers

Answer:

Ans: x=0

       y= -2

Step-by-step explanation:

-6x+y= -2--------- (1) × 6

-3x-6y= 12--------(2) × 1

-36x+6y= -12-----(3)

-3x-6y= 12--------(2)

(3)+(2)

-36x+6y+(-3x-6y) = -12+12

⇒ -36x+6y-3x-6y = 0

⇒ -36x-3x = 0

⇒ -39x=0

⇒ x= 0/-39

∴ x = 0

Substitute x = 0 into (1)

-6x+y= -2

⇒-6(0)+y= -2

⇒0+y= -2

∴y = -2

Ans: x = 0

       y = -2

Check:

-6x+y= -2--------- (1)

= -6(0)+(-2)

= 0 - 2

= -2 ✔

-3x-6y= 12--------(2)

= -3(0)-6(-2)

= 0+12

= 12 ✔

There are 120 students in class 7. It is known that
2/3
out of them like Maths, out of which 35
are girls. Also, out of total students,
3/5
are boys. (3)
(a) What is the number of girls in the class?
(b) How many students like Maths?
(c) How many boys like Maths?

Answers

Multiply total students by 2/3 to find how many like math:

Like math = 120 x 2/3 = 240/3 = 80 total students like math

Multiply total students by 3/5 to find number of boys:

120 x 3/5 = 360/5 = 72 boys

A) number of girls = total students - boys = 120 -72 = 48 girls

B) from above 80 students like math

C) number of boys that like math = number of students that like math minus girls that like math: 80- 35 = 35 boys like math

72 boys xjtxkttkftkxktx

Tony sold t-shirts and hats at the festival. He made a $4 profit for each t-shirt he sold. He also made a profit of $34 from selling hats. If he made a total profit of $106, how many t-shirts did he sell?

Answers

Answer:

18 T-shirts

Step-by-step explanation:

$4×18= $72 $72+$34=$106

18 t shirts

106 - 34 = 72
72 / 4 = 18

Solve for all values of x by factoring x² + 6x = 0

Answers

Answer:

Solution given;

x² + 6x = 0

taking x common

x(x+6)=0

either

x=0

or

x+6=0

x=-6

:.x=0 or -6.

Answer:

0 and -6

Step-by-step explanation:

Factor and find the zeros of the equation or graph the line to find the x-intercepts.

Enriques bathroom measures 6 ft. Long by 5 ft. Wide His shower is 3 feet square The title he wants to buy for the floor is sold in square feet. What is the area of the floor that he has to title

Answers

Answer:

Area of the floor is 30 square ft.

Step-by-step explanation:

Length of the floor, L = 6 ft

width of the floor, W = 5 ft  

The floor is in the shape of rectangle.

The area of the rectangle is

A = Length x width

So, the area of the floor is

A = L x W

A = 6 x 5

A = 30 ft^2

In
Δ
ABC, BC = a = 16, AC = b = 10, and m

C
= 22°. Which equation can you use to find the value of c = AB?


Answers

Answer:

7.7

Step-by-step explanation:

use law of cosines

c² = a² + b² - 2ab * cosC

c² =  16² + 10² - 2(16)(10)cos22

c² =  256 + 100 - 320 * 0.927183854566787

c² = 59.3011665386

c ≈ 7.7

Answer:

You can use the Law of Cosines to solve for c:

c2 = a2 + b2 − 2ab cos C = 162 + 102 − 2(10)(16) cos 22°.

Step-by-step explanation:

plato!!

What is the solution of the equation x2 − 2x + 4 = 0?

Answers

Answer:

No real solution

Step-by-step explanation:

This leads to a square root of a negative number, which is not possible without imaginary numbers

in which graph does the slope of the line l lequal zero

Answers

Answer:

wait can you make the same question with a picture or you don't have any pictures that comes with the problem?

Last math question please help thank you

Answers

Step-by-step explanation:

QR= 1.5 inches

TS= 2 inches

TP= 3.8 inches

RS= 1.4 inches

PQ= 2.6 inches

now complete ur promise

Answer:

Step-by-step explanation:

Remark

The question says to increase the lengths of each side by a factor of 1.5.

That means that every measurement we see on the diagram is multiplied by 1.5

QR = given length times 1.5

given length = 1.5

QR = 1.5 * 1.5

QR = 2.25

TS = given length * 1.5

TS = 2 * 1.5

TS = 3

TP = given length * 1.5

TP given = 3.8

TP = 3.8 * 1.5

TP = 5.7

RS = given length * 1.5

given length = 1.4

RS = 1.4 * 1.5

RS = 2,1

PQ = given length * 1.5

given length = 2.6

PQ = 2.6 * 1.5

PQ = 3.9

Fill in the missing numbers : )​

Answers

Answer :

The Missing numbers are :

[tex] \boxed{1.9}[/tex]

[tex] \boxed{3.4}[/tex]Solution :

Each term in the pattern is formed by the successive addition of " 0.5 " in the previous term.

therefore, the sequence will be like :

[tex] \hookrightarrow1.9, \: 2.4, \: 2.9, \: 3.4, \: 3.9, \: 4.4[/tex]

And, missing terms are :

1.9 and 3.4 respectively

[tex] \mathfrak{hope \: it \: helps \: you.....}[/tex]

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