Write the equation for the larger circle shown in the figure.

Write the equation for the smaller circle shown in the figure.

Write The Equation For The Larger Circle Shown In The Figure.Write The Equation For The Smaller Circle

Answers

Answer 1

Answer:

See below for answers

Step-by-step explanation:

Given equation of the horizontal ellipse: [tex]\frac{x^{2}}{64}+\frac{y^{2}}{16}=1[/tex]

Standard form: [tex]\frac{x^{2}}{a^{2} }+\frac{y^{2}}{b^{2} }=1[/tex]

Values of a and b: [tex]\frac{x^{2}}{8^{2} }+\frac{y^{2}}{4^{2} }=1[/tex]

Therefore, the radius of the bigger circle is a=r=8 (half the length of the major axis) and the radius of the smaller circle is b=r=4 (half the length of the minor axis).

Given the equation for a circle is [tex](x-h)^2+(y-k)^2=r^2[/tex], then:

The equation for the larger circle is [tex]x^{2} +y^{2} =8^{2}[/tex]

The equation for the smaller circle is [tex]x^{2} +y^{2} =4^{2}[/tex]


Related Questions

solve for x
[tex]\frac{7}{x+4}[/tex] = 4

Give your answer as an improper fraction in its simplest form.

Answers

Answer:

-9/4 = x

Step-by-step explanation:

4 is the same as 4/1

this problem is a proportion which can be solved by cross-multiplying:

7 = 4(x+4)

7 = 4x + 16

-9 = 4x

-9/4 = x

Christina is making a necklace using beads. She has 20 red, 14 blue, 10 purple, 28 green, and 8 yellow beads. She randomly chooses a bead to start the necklace. What is the probability of Christina choosing a pink bead?

Answers

Answer:

0.

Step-by-step explanation:

There is a total of 20 red + 14 blue + 10 purple + 28 green + 8 yellow beads which equal 80 total beads. However, she does not have any pink beads, so the probability of picking one is 0 pink beads / 80 total beads = 0.

PLZZ HELP Me ASAP!!!!

Answers

Answer:

see explanation

Step-by-step explanation:

(a)

The area is calculated as length × breadth

area = 2x(2x + 6) ← distribute

       = 4x² + 12x

(b)

area = x(x + 4) ← distribute

       = x² + 4x

(c)

shaded area = 4x² + 12x - (x² + 4x)

                      = 4x² + 12x - x² - 4x ← collect like terms

                      = 3x² + 8x

Those who have taken the Algebra EOC please answer.

Was it easy? What were the hardest parts? What should i study more to pass it?

Answers

Step-by-step explanation:

To me yes.

Algebra is mostly memorization. If you know the formulas and know how to apply it, you should do good.

I say use this. Algebra topics are like building on top each other.

Heart of Algebra:

Review what the purpose of x in algebra.Then learn things like combining like terms, and solving for x.Since you know the basics of x, you can then review linear equations( imo, a big content of algebra). Stuff like slope, different linear forms, graphs of linear equations, and mostly linear equation word problemsThen you can review system of equations. since you know how to manipulate linear equations, etc.

Then move on to other algebra topics dealing with algebra like

functions, and different types of themexponents, and radicals rulesinequalities.sequences.These aren't the heart of algebra but study them they are useful and it important to know them.

Since you learned different function rules, we can move on to learning exponetial functions, graphs, and word problems.

Then finally, learn most hard thing in Algebra: Quadratics.

Pratice,practice, and practice and you will pass.

Try to memorize the formulas and know when to apply it.

Good Luck

Write the equation of the line that passes
through the points (3, 1) and (9,-3)

Answers

Answer:

y = -2/3 + 3

Step-by-step explanation:

y2 - y1 / x2 - x1

-3 - 1 / 9 - 3

-4 / 6

-2/3

y = -2/3x + b

1 = -2/3(3) + b

1 = -2 + b

3 = b

y = -2/3 + 3

what is the area of the figure below?
35
41
46
51

Answers

46 is the correct answer

What is the equation of an exponential function with base=2 that has a vertical stretch by a factor of 3, a shift to the right 5 and a shift up 6 ?

Answers

Answer:

[tex]y=3(2)^{x-5}+6[/tex]

Step-by-step explanation:

Let the equation of the exponential function with base 2 is,

[tex]y=a(2)^{x+c}+d[/tex]

Here, a = vertical stretch

c = Horizontal shift

d = Vertical shift

If this function has a vertical stretch by a factor of 3,

Equation will be,

[tex]y=3(2)^{x+c}+d[/tex]

If this function has a shift of 5 to the right,

Equation of the function will be,

[tex]y=3(2)^{x-5}+d[/tex]

If this function has a shift of 6 units upwards,

[tex]y=3(2)^{x-5}+6[/tex]

Will give brainlyest!!!!:
A construction company is planning to pour concrete for a driveway. The length of the driveway is 16 feet longer than its width w.
a. Write an expression for the area of the driveway.
b. Find the dimensions of the driveway if it has an area of 260 square feet.

Answers

A construction company is planning to pour concrete for a driveway.
The length of the driveway is 16 feet longer than its width "w".
Length is "w+16".
-----------------------------
32. Write an expression for the area of the driveway.
Area = w(w+16) = w^2+16w sq. ft.
------------------------------------------

33. Find the dimensions of the driveway if it has an area of 260 square feet.
Solve 260 = w^2+16w
w^2+16w-260 = 0
(w+26)(w-10) = 0
Positive solution:
width = 10 ft
length = 10+16 = 26 ft.

What is the area of the polygon? Show your work! ​

Answers

Answer:

6+6=12 cm

4+4=8 cm

6+6= 12 cm

Add all together and it equals 32

Step-by-step explanation:

Answer:

64

Step-by-step explanation:

I LOVE DOING THESE

4x6=24

24x0.5=12

12x4=48

4x4=16

48+16=64

Which of the following is an arithmetic sequence?
A. 0, 3, 8, 15, 24, 35, ..
B. 9, 4, -1, -6, -11, -16, ...
C. 1, 3, 6, 10, 15, 21, ..
.
D. -1, 0, 1, 0.3, 0, ...

Answers

Answer:

B is an arithmetic sequence because the number that you add or subtract between each number has to match

Find the missing side.

Need help please.
I need explanation for the answer please

Answers

Answer:

x ≈ 11.1

Step-by-step explanation:

Using the sine ratio in the right triangle

sin59° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{13}[/tex] ( multiply both sides by 13 )

13 × sin59° = x , then

x ≈ 11.1 ( to the nearest tenth )

Answer:

11.14 to nearest hundredth.

Step-by-step explanation:

sine = opposite side/ hypotenuse so here we have:

sin 59 = x/13

x = 13 sin 59

= 11.143

For each journey between work and home, Toyin uses 1.2 gallons of petrol. Toyin has 34 litres of petrol in her car. How many complete journeys between work and home can she do?
1 gallon = 4.5 litres.​

Answers

Answer:

As

1 gallon =4.5 l

1.2 gallon=5.4l

34/5.4 = no of trips

no of trips=6.29

so she can make 6 complete trips

I hope it helps

I can really use this help please

Answers

Answer:

1. 60 2. 120

Step-by-step explanation:

plz give brailiest

Answer:

1. 60

2. 120

Step-by-step explanation:

the opposite angle is 60

180 - 60 = 120

**NOTE YOU WOULD GET 34 POINTS IF YOU ANSWER THIS**

Answers

Answer:

The answer is 25

Step-by-step explanation:

Answer: 25 Is the correct answer.

PLEASE HELP (12 YEAR OLD MATH)​

Answers

Answer:

1.5 I think?

Step-by-step explanation:

it was counting by 6 but then skipped to 26 so I assume it is 1.5

The area of the large rectangle is twice the area of the small rectangle. What is the value of x?Two rectangles are shown. The larger rectangle has dimensions 4 centimeters by 12 centimeters. The smaller rectangle has dimensions 3 centimeters by x centimeters. A. 7 cm B. 8 cm C. 11 cm D. 13 cm

Answers

Answer:

B. 8 cm.

Step-by-step explanation:

The area of a rectangle is the length*width.

The area of the larger rectangle is 4*12=48.

The area of the smaller rectangle is 3*x=3x.

If the larger rectangle's area is twice that of the smaller rectangle, then we can say 48=2*3x.

Let's solve for x

48=2*3x

48=6x

x=8

CAN SOMEONE PLEASE HELP ME WITH THIS I WILL BRAINLIEST WHO EVER TELLS ME THE ANSWERS TO THIS

Answers

Area triangle = bh/2 = (6•5)/2 = 15 inches^2
Area square = l•W = 6 • 6 = 36 inches^2

Total Area = (area triangle • 4) + (area square)
= (15•4) + 36
= 96 inches^2

96 inches squared or 96 inches ^2

Mel is 7cm less then her grandma's height. Her brother is 11cm taller then his grandma. Together height total 502 cm. What are their heights?

Answers

Answer:

Mel's height is 159cm, her brother's height is 177cm and their grandma's height is 166cm.

Step-by-step explanation:

Let the grandma's height be g cm.

Mel's height= (g -7) cm

Brother's height= (g +11) cm

Total height

= Mel's height +brother's height +grandma's height

= g -7 +g +11 +g

= (3g +4) cm

Given that their total heights is 502 cm,

(3g +4) cm= 502 cm

3g +4= 502

3g= 502 -4 (-4 on both sides)

3g= 498

g= 166 (÷3 on both sides)

To find their heights, substitute g= 166 back into the expressions.

Grandma's height= 166cm

Mel's height

= 166 -7

= 159cm

Brother's height

= 166 +11

= 177cm

A sign next to the science lab says a person must be 54 inches tall to go in. At his last doctor's appointment, Hever was 4 feet 4 inches tall. He has grown 3 inches since then.

Answers

Answer:

Therefore he can go inside because 55 inches is taller than 54 inches.

Step-by-step explanation:

1 feet = 12 inches

His height is 4 feet and 4 inches

4 feet and 4 inches means

= 4*12+ 4    

Converting feet into inches

=48+4= 52 inches

His height was 52 inches.

He has grown 3 inches

His new height is 52+3 = 55 inches

Therefore he can go inside because 55 inches is taller than 54 inches.

Evaluate the six trigonometric functions of the angle 0



is right

Answers

Answer:

1. Sine θ = 1/3

2. Cos θ = 2√2 / 3

3. Tan θ = √2 / 4

4. Cosec θ = 3

5. Sec θ = 3√2 / 4

6. Cot θ = 2√2

Step-by-step explanation:

We'll begin by determining the adjacent. This can be obtained as follow:

Hypothenus (Hypo) = 9

Opposite (Opp) = 3

Adjacent (Adj) =?

Hypo² = Adj² + Opp²

9² = Adj² + 3²

81 = Adj² + 9

81 – 9 = Adj²

72 = Adj²

Take the square root of both side

Adj = √72

Adj = 6√2

Finally, we shall determine six trigonometric functions of the angle θ. This Can be obtained as follow:

1. Determination of Sine θ

Hypothenus = 9

Opposite = 3

Sine θ =?

Sine θ = Opposite / Hypothenus

Sine θ = 3/9

Sine θ = 1/3

2. Determination of Cos θ

Adjacent = 6√2

Hypothenus = 9

Cos θ =?

Cos θ = Adjacent / Hypothenus

Cos θ = 6√2 / 9

Cos θ = 2√2 / 3

3. Determination of Tan θ

Opposite = 3

Adjacent = 6√2

Tan θ =?

Tan θ = Opposite / Adjacent

Tan θ = 3 / 6√2

Tan θ = 1 / 2√2

Rationalise

(1 / 2√2) × (2√2 /2√2)

= 2√2 / 4×2

Tan θ = √2 / 4

4. Determination of Cosec θ

Sine θ = 1/3

Cosec θ =?

Cosec θ = 1 / Sine θ

Cosec θ = 1 ÷ 1/3

Cosec θ = 1 × 3/1

Cosec θ = 3

5. Determination of sec θ

Cos θ = 2√2 / 3

Sec θ =?

Sec θ = 1 / Cos θ

Sec θ = 1 ÷ 2√2 / 3

Sec θ = 1 × 3 / 2√2

Sec θ = 3 / 2√2

Rationalise

= (3 / 2√2) × (2√2 / 2√2)

= 3 × 2√2 / 4×2

Sec θ = 3√2 / 4

6. Determination of Cot θ

Tan θ = √2 / 4

Cot θ =?

Cot θ = 1 / Tan θ

Cot θ = 1 ÷ √2 / 4

Cot θ = 1 × 4 / √2

Cot θ = 4 / √2

Rationalise

= (4 / √2) × (√2 / √2)

= 4√2 / 2

Cot θ = 2√2

Five rational numbers between -2/5 and 1/5

Answers

Answer:

-2/5 × 3/3 = -6/15

1/5 × 3/3 = 3/15

Five rational numbers in between are : -1/3, -4/15, -1/5, -2/15, -1/15

What are the factors of the product represented below?
A. (3x + 1) (2x + 2)
B. (3x^3 + 2)(3x^3 + 2)
C. (3x + 1x)(3x + 2)
D. (3x + 2)(3x + 1)

Answers

Answer:

D.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

if you randomly pick a date in april, how mny equally likely outcomes are there.

Answers

There are 30 days in April, so if you randomly pick a date in April there are 30 equally likely outcomes

Someone answer this please

Answers

Answer:

The answer is -72/5.... also as 14.4

Answer:

Step-by-step explanation: first put in the value for x, 8(-6) -5y=24

Then solve from there, 8x-6= -48

-48-5y=24

-5y=24+48 ( becomes pos when transferred to this side, since it turns to the opposite direction )

Now, -5y=72

Decide both sides by -5 and then

Y = -14.4 or -14 2/5

determine if the given shapes are polygons or not if polygons name the classification according to sides​

Answers

What shapes are we determining

Each of 8 students reported the number of movies they saw in the past year. This is what they reported:
19, 17,8, 18,7, 15, 4, 17
Find the median and mean number of movies that the students saw.
If necessary, round your answers to the nearest tenth.
Х
Median: movies
Mean: movies
5
?
need asap

Answers

The mean is: 19 + 17 + 8 + 18 + 7 + 15 + 4 + 17 = 105 divided by 8 = 13.125 rounded to nearest tenth = 13.1
The median is: 4,7,8,15,17,17,18,19 (in the middle) = 16
Hope this helps :D

Please help! I need the work for this.
This is the problem 6⁴=1296
And this is the answer log₆1296=4

Answers

Answer:

Step-by-step explanation:

x = 6 hope this helps

Find the value of each variable.
Simplify your answers as much as possible.
If necessary, you may learn what the markings on a figure indicate.

Answers

Answer:

Step-by-step explanation:

Please help!!
Find the radius

Answers

Answer:

The radius is 20 units.

Step-by-step explanation:

(r)^2 + 21^2 = (r+9)^2

r^2 + 441 = r^2 + 18r + 81

360 - 18r = 0

360 = 18r

20 = r

WILL GIVE BRAINLIESTTTT and 13 points
HELPPPPPPP
ONLY QUESTION B)

Answers

Answer:

2(n+1)+2

You start with two greens and two columns of two orange squares while adding two orange squares each time. So, the bolded part is the green squares that stay the same. The 2(n+1) represents the two orange columns that increase by one block on each side per image.

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