Write the equation of a circle with center (0,−6) and radius 4 in general form.


Answers

Answer 1

Answer:

x^2 + (y + 6)^2 = 4^2

Step-by-step explanation:

The general form we need here is (x - h)^2 + (y - k)^2 = r^2, where (h, k) is the center and r is the radius.

If the center is at (0, -6) and the radius is 4, then the desired equation is

(x - 0)^2 + (y + 6)^2 = 4^2, or just

x^2 + (y + 6)^2 = 4^2


Related Questions

A. g(x) = (- x)2 + 4
O B. g(x) = – x2 - 4
O c. g(x) = (- x)2 - 4
O D. g(x) = – x2 + 4

Answers

I am pretty sure the answer is d

Find the slope of through the two points (3,4) and (-2,3).

Answers

Answer:

Slope is 1/5

Step-by-step explanation:

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

m = (3-4)/(-2-3)

m = (-1)/(-5)

m = 1/5

What type of real numbers are these.

Answers

They are all integers

If the ratio of radii of two spheres is 4:7, find the ratio of their volumes. ​

Answers

Answer:

volume is equal to ratio

Answer:

This is your answer. If I'm right so,

Please mark me as brainliest. thanks!!!

During a football game, the ball is placed 20 yards 2 feet from the goal line. How many feet from the goal line is the football?

Answers

Answer:

62 feet

Step-by-step explanation:

During a football game, the ball is placed 20 yards 2 feet from the goal line. How many feet from the goal line is the football?

Step 1

We convert 20 yards to feet

1 yard = 3 feet

20 yards = x feet

Cross Multiply

1 yard × x feet = 20 yards × 3 feet

x feet = 20 yards × 3 feet/1 yard

x feet = 60 feet

Step 2

How many feet from the goal line is the football?

This is calculated as:

20 yards 2 feet =

60 feet + 2 feet = 62 feet

Therefore, the football is 62 feet from the goal line

What is the solution to the equation 38.18 + x = 82.06? A. 44.88 B. 43.88 C. 56.12 D. 44.12

Answers

Answer:

A

Step-by-step explanation:

Simplify both sides x+38.18=82.06

subtract 38.18 from both sides

x+38.18-38.18=82.06-38.08

x=43.88

I’m so confused help pls

Answers

Step-by-step explanation:

A: n(n+1) = 72

B

n^2 + n = 72

n^2 + n -72 =0

(n+9)(n-8) = 0

If a triangle has a leg with a length of 6 units and a hypotenuse with a length of 10 units, find the length of the other leg.

Answers

Answer: 8 units

Step-by-step explanation:

This can be solved using the Pythagorean Theorem:

c² = a² + b²

c is the hypotenuse

a and b are the sides

Solving for the length:

10² = 6² + b²

100 = 36 + b²

b² = 100 - 36

b² = 64

b = √64

b = 8 units

The missing side is 8 units.

-23 - x - x + 16 - 2

Answers

Answer:

-2x - 9

Step-by-step explanation:

Answer:

−2x−9

I hope this helps

20 POINTSS PLEASE HELP

Answers

Answer:

14 units

Step-by-step explanation:

it's 7 the length of a shape doesn't change when it's just reflected over the x or y axis

A rectangle is 7 ft by 12 ft. Find the length of its diagonal. Round to the nearest tenth.

Answers

Answer:

13.9

Step-by-step explanation:

7² x 12² = 49 + 144 = 193

√193= 13.89

Divide the rectangle into two right triangles, like in the photo

you now have two congruent right triangles with 7ft and 12ft long legs

Use the pythagorean theorem to find the missing diagonal length (aka hypotenuse)

7^2 + 12^2 = c^2

49 + 144 = c^2

c^2 = 193

Square root both sides to get rid of the ^2

c = 13.9 ft

sin(20)=x/670 ????????

Answers

Answer:

229.2

Step-by-step explanation:

Remark

There's a lot in this question. The x is not just any x. It is defined and limited by its relationship with the sine function.

The Sin is defined as Opposite over Hypotenuse in a right triangle. The 670 is the Hypotenuse. You know that by the definition of Sine.

So one thing you should always keep in mind: the x because of where it is in the definition, will always be smaller than the Hypotenuse. So you should get a value less than 670.

Formula

Just as you have it

Sin(20) = x / 670

Solution

Multiply both sides by 570

670 * sin(20) = x

sin(20) = 0.3420

x = 670 * 0.3420

x = 229.2

please help (no links)

Answers

Answer:

EZ Excavation: y = 24.5x

Happy Hauling Service: y = 25x

Step-by-step explanation:

✔️Equation for EZ Excavation:

This can be written in slope-intercept form, y = kx

Where k is the unit rate/slope/constant of proportionality

y = cost

x = dirt

Thus,

k = y/x

Using any given pair of values from the table, say, (8, 196),

k = 196/8

k = 24.5

To write the equation, substitute k = 24.5 into y = kx

Thus:

y = 24.5x

✔️Equation for Happy Hauling Service:

This can be written in slope-intercept form, y = kx

Where k is the unit rate/slope/constant of proportionality

y = cost

x = dirt

Thus,

k = y/x

Using the coordinate of any point on the line, say (1, 25),

k = 25/1

k = 25

To write the equation, substitute k = 25 into y = kx

Thus:

y = 25x

PLS HELP ME I DON'T HAVE A LOT OF TIME !!!

Answers

Answer:

d

Step-by-step explanation:

A large box will hold 1,000 cubic inches. A small box measures 5 inches by 5 inches by 5 inches. How many smaller boxes will the large box hold?

Answers

Answer:

8

Step-by-step explanation:

Given data

Volume of large box= 1000cm^3

Dimension of small box

L=5cm

W=5cm

H=5cm

Volume of small box= 5^3

V=125cm^3

Hence the number of small box that can fill the large box is

=1000/125

=8

A scale drawing has a scale of 2 cm = 15 m. If the length of something on the drawing is 12 cm, what is the actual length?

Answers

Answer: 90

Step-by-step explanation:

Answer:

90m

Step-by-step explanation:

you have to cross multiply.

1) multiply (12 * 15) and multiply 2 * X)

2) you get 180 = 2x

3) to get X alone divide 180 by 2 and you will get 90meters

adult tickets cost 1.25
Child tickets cost 0.75p
you sell 80 tickets for 7500p
How many are adult tickets and how many are child tickets

Answers

Let x = the number of adult tickets you sold.
Naturally, the number of child tickets you sold would be 80-x.
1.25x + 0.75(80-x) = 75
1.25x + 60 - 0.75x = 75
0.5 x = 15
x = 30
adult tickets = 30
child tickets = 80-30 = 50

help me plz: An employer is paying an employee a salary of $35,500 a year. The employer promised to increase his/her salary by 2,750 per year. What will be the employee's salary by year 8?​

Answers

Answer:

401(k) plan

Step-by-step explanation:

The employee earns $45/hour, with his employer paying 1.5 times the regular rate of pay for overtime hours. To date, he has earned $130,050 during the present year. He has requested that his employer withhold 8% of gross pay, which is to be contributed to a 401(k) plan. Taxable income for federal income tax withholding = $

For an acute angle 8, the equation sin(O) = cos(6)
is true. What is the value of 0?

Answers

Answer:

heres your answer

Step-by-step explanation:

b) How many edges and vertices does a prism
with a 100-sided end face have?
edges
vertices

Answers

44 and help meeee tooo

PLEASE HELP, URGENT!!!

John bought a crate of floor tiles $100. The crate had 5 boxes of floor tiles. Each box contained 40 floor tiles. Write an
equation to determine the cost per box, b.

Answers

For this equation, let b equal the cost per box.
b=$100/5

which graph represents the solution to 7x < 21 or 6x -9 > 21

Answers

Answer:

There is no solution, though the lines are confirmed as dashed with the shaded area being on the outer sides.

Step-by-step explanation:

above

what are the values of x and y?

Answers

Not sure about y but x is 35°! Hope this helps!
35 degree only
X is 35 because opposite angles are congruent
Y is because adjacent angles are congruent
HOPE THIS HELPS

Write the exponential expression
26 squared

Answers

Answer:

26²

Step-by-step explanation:

26 x 26 = 676

Is 7 a solution for the equation 3(x + 4)= 2x - (-2x)?

Answers

Step-by-step explanation:

3x+12=2x+2x

3x+12=4x

3x-4x=-12

-x=-12

x=12

Answer:

no, the answer is x = 12

Step-by-step explanation:

3(x + 4)= 2x - (-2x)

3(x + 4)= 2x + 2x

3x + 12 - 12 = 4x - 12

3x - 4x = 4x - 12 - 4x

-x = -12

x = 12

Find the 60th term of the arithmetic sequence -27, -24, -21

Answers

Answer:
The 60th term would be 150.

Michelle baby-sits the neighbors' children. She watches the Rogers' child for $5 per hour
and the Pringles' two children for $6.50 per hour. The Rogers needed her to work
15 hours this week, while the Pringles needed her services for 25 hours.

Answers

Answer:

What is the objective to answer the question? Is it how much they will get?

write the equation of the line in slope intercept form given a table​

Answers

Answer:

y=3x+1

Step-by-step explanation:

Slope-intercept form is y=mx+b, where m is the slope and b is the y intercept

the formula for slope (m) is given as (y2-y1)/(x2-x1)

we can pick any 2 points to use to find the slope. For example, let's use (2,7) and (3,10)

label the points:

x1=2

y1=7

x2=3

y2=10

now substitute into the formula:

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

m=(10-7)/(3-2)

m=3/1

m=3

the slope of the line is 3

here's our equation so far:

y=3x+b

now we need to find b (y intercept)

because the line will pass through any of the points given on the table, we can use any one of the given points to solve for b

Let's take (2,7) though since it's the first point

substitute 2 as x and 7 as y in the equation

7=3(2)+b

7=6+b

1=b

so our equation is y=3x+1

Hope this helps! :)

In Eduardo's collection, the number of butterflies is 12 more than twice the number of moths. If there are x moths, choose the expression that represent the number of butterflies he has.

Answers

Answer:

y = 12 + 2x

Step-by-step explanation:

Given that :

Let number of butterflies = y

Number of moths = x

y = 12 more than twice the number of moths

y = 12 + 2x

Hence, the expression which relates the number of butterflies he has is :

y = 12 + 2x

find the slope of the line through each pair of points
(3,-2),(-13,-8)

Answers

M = 3/8. Is the answer
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