(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

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.

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

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

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

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

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

Answers

Answer:

sin pi/5,

Step-by-step explanation:

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 ✔

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]

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.

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

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

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.

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
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!!

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

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

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

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.

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

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

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:

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

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

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

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.

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:

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

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?

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

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