Match each equation to its description
A.Circle centered at (0,-4) with radius of 3
1.(x-1)^2 + y^2=9
2.x^2+(y+4)^2=9
3. (x-1) +( y - 4)^2=3
4.(x - 1)^2+(y - 4)^2=9
5.(x - 1)^2 + (y + 4)^2=3
Which is the correct answer
A.1
B.2
C.3
D.4
E.5

Answers

Answer 1

Answer:

[tex]\boxed {\boxed {\sf B. \ 2: x^2+(y+4)^2=9}}}[/tex]

Step-by-step explanation:

The equation for a circle is:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Where (h, k) is the center and r is the radius.

We know that the center of the circle is (0, -4) and the radius is 3. Therefore:

h= 0 y= -4 r=3

Substitute the values into the formula.

[tex](x-0)^2+(y--4)^2=(3)^2[/tex]

Solve the first parentheses.

(x-0)² = (x)²= x²

[tex]x^2+(y--4)^2=(3)^2[/tex]

Solve the next parentheses.

(y--4)² = (y+4)²

[tex]x^2+(y+4)^2=(3)^2[/tex]

Solve the exponent.

(3)²= 3*3=9

[tex]x^2+(y+4)^2=9[/tex]

This is the finished equation, which corresponds with number 2. Choice B (2): x²+(y+4)²= 9 is correct.


Related Questions

Line p is parallel to line q. Which proof explains why the sum of the interior angles of the triangle must be 180⁰?

Answers

Answer:

See proof below

Step-by-step explanation:

Find the diagram attached.

From the diagram, sum of angle on the straight  line l is 180degrees that is:

<A' + <B' + <C' = 180° .... 1

Also note that

<A = <A' (corresponding angle) ...2

<B = <B' (corresponding angle) ... 3

<C = <C' (vertically  opposite angle) ...4

Substitute  2, 3 and 4 into 1, we will have:

A+B+C = 180°

This shows that the sum of the interior angles of the triangle A  B and C is 180°

Find the volume of a drum with a radius of 7 inches and a height of 15 inches

Answers

Answer:

pi*15*7^2=735pi=2309 (to the nearest whole number)

URGENT!!

The length of a rectangle is five more than double the width. Find the dimensions if the
perimeter is 88m.

Answers

Answer:

13, 31

Step-by-step explanation:

Set the width as x.

Length: 2x + 5

Perimeter:

(x) + (2x + 5) + (x) + (2x + 5) = 88

Simplify.

6x + 10 = 88

Solve.

6x = 78

x = 13

Substitute this into the previous equations

Width: 13

Length: 31

Answer:

The length is 31m and the width is 13m.

Step-by-step explanation:

Start by translating the word problem into an equation. 5 more than double the width is written as 2w + 5. Then substitute that into the equation for the perimeter. It should look something like this:

88 = 2(2w +5) + 2w

Then simplify by combining like terms and solve for the width (w).

88 = 6w + 10

78 = 6w

13 = w

Now that we have the width, we can plug it back into the equation we made for the length.

l = 2w + 5

l = 2(13) + 5

l = 26 + 5

l = 31

I hope this could help!

7. If A (6,8) and B (7, 4J are two points,
find the distance between a andB.
any
- Solo,​

Answers

Answer:

√17 units

Step-by-step explanation:

(6, 8) & (7, 4)

To find the distance between two points, we use the distance formula:

[tex]d = \sqrt{(x_{2}-x_1)^2 + (y_2-y_1)^2 }[/tex]

Plug in the values you know.

[tex]d = \sqrt{(7 -6)^2 + (4 -8)^2 }[/tex]

Evaluate the parentheses.

[tex]d = \sqrt{(1)^2 + (-4)^2 }[/tex]

Evaluate the exponents.

[tex]d = \sqrt{(1) + (16) }[/tex]

Add.

[tex]d = \sqrt{(17)[/tex]

Evaluate the square root.

[tex]d=\sqrt{17}[/tex]

This square root is already fully simplified.

Your answer is √17 units.

Hope this helps!

find the quotient of 45÷ 5

Answers

The quotient of 45 divided by 5 is 9

use the scatter plot and the trend line to show answer a-c. Write an equation for the trend line. predict the value of y when x =21 Predict the value of x when y = 150

Answers

Answer:

See Explanation

Step-by-step explanation:

This question is incomplete, as the required scatter plot is not included in the question. I will answer your question with the attached plot.

Solving (a): The equation

Pick any [tex]two[/tex]  [tex]points[/tex]on the [tex]trend[/tex] line

[tex](x_1,y_1) = (30,40)[/tex]

[tex](x_2,y_2) = (80,70)[/tex]

[tex]y = 0.6x + 22[/tex]

Calculate the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 -x_1}[/tex]

[tex]m = \frac{70 - 40}{80-30}[/tex]

[tex]m = \frac{30}{50}[/tex]

[tex]m = 0.6[/tex]

The equation is then calculated as:

[tex]y = m(x - x_1) + y_1[/tex]

This gives:

[tex]y = 0.6(x - 30) + 40[/tex]

[tex]y = 0.6x - 18 + 40[/tex]

[tex]y = 0.6x + 22[/tex]

Solving (b): y, when [tex]x = 21[/tex]

[tex]y = 0.6x + 22[/tex]

Substitute [tex]x = 21[/tex]

[tex]y = 0.6 * 21 + 22[/tex]

[tex]y = 12.6 + 22[/tex]

[tex]y = 34.6[/tex]

Solving (c): x when [tex]y=150[/tex]

[tex]y = 0.6x + 22[/tex]

Substitute [tex]y=150[/tex]

[tex]150 = 0.6x + 22[/tex]

Collect like terms

[tex]0.6x = 150 -22[/tex]

[tex]0.6x = 128[/tex]

Solve for x

[tex]x = \frac{128}{0.6}[/tex]

[tex]x = 213.3[/tex]

The probability of getting a sum of 7 or 11 by rolling two dice is 2/9 True or false please answer my question​

Answers

Answer:

IT IS FALSE

Step-by-step explanation:

help me solve this please

Answers

[tex] \huge\underline{ \underline{ \bf{Answer࿐} }}[/tex]

parallel sides measure :

10 ft -(a)12 ft. -(b)

Area :

44 ft²

height (h) = x

___________________

[tex] \boxed{Area = \frac{1}{2} \times (a + b) \times h}[/tex]

[tex] \dfrac{1}{2} \times (10 + 12) \times x = 44[/tex]

[tex] \dfrac{1}{2} \times 22 \times x = 44[/tex]

[tex]11x = 44[/tex]

[tex] \boxed{ 4 \: \: ft}[/tex]

Therefore, height of Trapezoid is 4 ft

_____________________________

[tex]\mathrm{ \#TeeNForeveR}[/tex]

Which number makes this equation true?
(12 + 5) * 7 = (12 x 7) + (5 * __)

Answers

(c) 7

7×(12 + 5) = (7×12) + (7× 5)

Explanation:

Distributive property say that multiplication an division can be distributed over parenthesis.

a x (b+c) = a x b + a x c

If purple paint is sold by the gallon. How many gallons will we need to buy?

Answers

Answer:

what?

Step-by-step explanation:

Answer:

However much gallons of purple paint you need

YA'LL LOOK

https://picrew.me/image_maker/678875/complete?cd=CoL7ZrEndz

whats the square root of 81

Answers

Answer:

Square root of 81 is 9

Step-by-step explanation:

The deposit on one can is $0.05, what is the deposit on 23 cans?

Answers

Answer: $1.15

Step-by-step explanation:

Data 1 can(c)=0.05

23 cans(c)=x

Only step, multiply 23x0.05=1.15

Reason: Since 1 c=0.05, multiplying is by 23(number of cans) will get us the rate of 23 c

Answer: $1.15(Don't forget the dollar sign)

I hope this helps!

how is 4(x+3) equal to 12+4x

Answers

Answer:

When distributed, 4(x+3) = 12+4x

Use the diagram to answer the question.
35.6 m
23.4 m
15.2 m
23.4 m
What is the area of the triangle?
OA. 82.40 m²
B. 97 60 m2

Answers

Answer:

B97.60

Step-by-step explanation:

I got b bc if u add all the number up u get that answer.

IF U ANSWER THIS U ARE SWAG
Is the triangle equilateral, isosceles, or scalene? Pls explain ur answer too

Answers

Equilateral: "equal"-lateral (lateral means side) so they have all equal sides. Isosceles: means "equal legs", and we have two legs, right? Also iSOSceles has two equal "Sides" joined by an "Odd" side. Scalene: means "uneven" or "odd", so no equal sides.

please answer below :-)

Answers

Answer:

Ur answer is B!!!

Step-by-step explanation:

I have no time to explain but trust me ive had this question

Oh the answer would be letter choice B,

- A box of specialty baking flour holds 2 kilograms. How many angel food cakes can be made with a recipe that calls for 100 grams of flour?

Answers

Answer:

20

Step-by-step explanation:

1000g = 1 kil0

2 x 1000 = 2000g

Number of cakes = 2000 / 100 = 20

what value of x makes 8x - 20 equals to 44?​

Answers

Answer:

x = 8

Step-by-step explanation:

8x - 20 = 44

8x - 20 + 20 = 44 + 20

8x = 64

8x ÷ 8 = 64 ÷ 8

x = 8

Liam is planning a trip to Ireland and plans to pay for his airfare using Air Miles. The cost
for a flight from Toronto to Dublin is $625 plus $123 in fees and HST. Liam will need a
return ticket as well which retails for the same cost. Liam also intends to use his Aeroplan
points to get the flight. The cost of a flight in Aeroplan points is 80,000 one way and does
not include additional fees, but does include HST. Liam currently has 120,000 Aeroplan
points and plans to drain his account on these flights. How much will Liam pay for his
trip?
Hint: Sales Tax (HST) in Ontario is 13%

Answers

The best price found on Skyscanner for a flight from Dublin to Toronto is €289. This was found by aggregating across different carriers and is the cheapest price for the whole month. How long does it take to fly from Dublin to Toronto? 7h 20min is the average flight time from Dublin to Toronto. How many airlines fly direct from Dublin to Toronto?

Given: sintheta=5/13
Find sin: 2theta

Answers

Answer:

sin 2θ=120/169

Step-by-step explanation:

What were the dimensions of the original photo? 11 inches by 11 inches 5 inches by 5 inches 3 + 4 StartRoot 2 EndRoot inches by 3 + 4 StartRoot 2 EndRoot inches 3 4 StartRoot 2 EndRoot inches by 3 4 StartRoot 2 EndRoot inches

Answers

Answer:

11x11 inches

Step-by-step explanation:

You are missing the first part of the problem, which is the following:

"Miriam reduced a square photo by cutting 3 inches away from the length and the width so it will fit in her photo album. The area of the reduced photo is 64 square inches. In the equation (x – 3)2 = 64, x represents the side measure of the original photo. What were the dimensions of the original photo?"

With this in mind, we just need to solve the equation and determine the value of x. The equation is:

(x - 3)² = 64

Solving this, we have:

x - 3 = √64

x - 3 = 8

x = 8 + 3

x = 11

Therefore, we can conclude that the original dimensions of the photo are 11x11 inches.

Hope this helps

Answer:

11x11

Step-by-step explanation:

Find the surface area and volume of the pyramid. ​

Answers

Given:

The figure of a square base pyramid.

To find:

The area of volume of the pyramid.

Solution:

The area of square base is:

[tex]B=(side)^2[/tex]

[tex]B=(16)^2[/tex]

[tex]B=256[/tex]

Area of one triangular side of the pyramid is:

[tex]A_1=\dfrac{1}{2}\times base\times height[/tex]

[tex]A_1=\dfrac{1}{2}\times 16\times 13[/tex]

[tex]A_1=104[/tex]

Now, the total surface area of the pyramid is:

[tex]A=B+4A_1[/tex]

[tex]A=256+4(104)[/tex]

[tex]A=256+416[/tex]

[tex]A=672[/tex]

Therefore, the surface area of the pyramid is 672 square m.

The volume of the pyramid is:

[tex]V=\dfrac{1}{3}Bh[/tex]

Where, B is the base area and h is the vertical height of the pyramid.

Substituting [tex]B=256,\ h=6[/tex], we get

[tex]V=\dfrac{1}{3}(256)(h)[/tex]

[tex]V=(256)(2)[/tex]

[tex]V=512[/tex]

Therefore, the volume of the pyramid is 512 cubic meters.

Hence the correct option is d.

Naveen earns Rs 55,000 per month .He spends 3/5 of his income every month and saves the rest of the money .Find his monthly savings ?

Answers

Answer:

Rs.22000

Step-by-step explanation:

Given data

Naveen earns Rs 55,000 per month

He spends 3/5 of his income every month

Let us find the amount he spends

=3/5*55,000

=165000/5

=Rs.33000

Hence the savings is

= 55,000-33000

=Rs.22000

Carla is solving a math problem. Which answer shows the equation and solution
to x times 3 plus 4 equals 16? *
3x + 16 = 4; x = -4
3x + 4 = 16; x = 4
3x = 4 + 16; x = 2/3
3(x + 4) = 16; x = 4/3

Answers

Last one 3(x+4) x=4/3

"Mindy has a piece of string that is 5 1/2yd long. She cuts it into pieces that are each 1/2 yd long. Solve the equation 5 1/2 = 1/2x to find out how many pieces of string, x, she gets. Show your work

Answers

Answer:

Step-by-step explanation:

Mindy has a piece of string that is 5 1/2yd long. She cuts it into pieces that are each 1/2 yd long. Solve the equation 5 1/2 = 1/2x to find out how many pieces of string, x, she gets. Show your work

You are on a boat and measuring the height of a lighthouse, off in the distance. Your boat is 45ft from the coast. You measure the angle of elevation from your point on the boat to the top of the lighthouse to be 59∘. Find the height of the lighthouse to the nearest foot.

Answers

This is a trigonometry question, where a right angle triangle is created from the boat to the coast to the top of the light house.

x is the angle of elevation
Opposite is the height of the light house
Adjacent is the distance from coast

Tan(x) = opposite/adjacent

tan (59) = opposite/ 45

tan(59) x 45 = opposite

opposite = 74.893

The height of the light house (from sea level) is 75 foot.

What is the perimeter of the kite?
a.44
b.140

Answers

Answer:

B.) 140 is your answer for your problem

What value of x makes this statement true?
3.2 = 2x + 12

Answers

Answer:

-4.4

Step-by-step explanation:

Solve.
-7} + (-5) + 8 = 0
6
-21
-4.5
3

Answers

Answer: -4=0

Step-by-step explanation:

What is Limit of h (x) as x approaches 10 plus? 12.5 13 18.5 19

Answers

Answer:

the answer is C

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

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