two similar figures have corresponding sides that measure 4 inches and 7 inches

Answer:

[tex]\frac{x^2}{8200^2} +\frac{y^2}{7101.4^2}=1[/tex]

Step-by-step explanation:

The equation of the ellipse with centre at origin and major axis along the x-axis is:

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

Where 2a is the length of the major axis and 2b is the length of the minor axis. The following equation shows the relationship between the foci (c), major axis and minor axis:

a² = c² + b²

Since the earth center is one of the foci of the ellipse with distance from the center of the orbit to the Earth's center is 4,100 miles. Therefore the foci is at (4100, 0).

Hence c = 4100

Also, The foci are halfway between the center and the major axis vertices. Therefore the distance between the center and the major axis vertices (a) is twice the distance from the center of the orbit to the Earth's center.

a = 2c = 2(4100) = 8200 miles

We can get the distance from the center to the minor axis vertices (b), using:

a² = c² + b²

8200² = 4100² + b²

b² = 8200² - 4100²

b² = 50430000

b=√50430000

b = 7101.4 miles

The ellipse equation is:

[tex]\frac{x^2}{8200^2} +\frac{y^2}{7101.4^2}=1[/tex]

Answer:

[tex]\frac{x^{2} }{67,240,000}+\frac{y^{2} }{50,430,000} =1[/tex]

Step-by-step explanation:

Answer:

The answer would be a^70

Step-by-step explanation:

Hope this helped!! If it is wrong please tell me and I will re-check my answer. :)

7384(x)748 (8967-888)

Answer: [tex](x,y) \to (4x,4y)[/tex] which is choice (3)

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Explanation:

The general transformation of [tex](x,y) \to (kx,ky)[/tex] describes a dilation with scale factor k. If k is not equal to 1, then the resulting image will not be the same size as the preimage.

In this case, k = 4. This means that the resulting image has its side lengths 4 times greater compared to the preimage side lengths. For example, if a side length is 5 units long in the preimage, then its corresponding length in the image is 5*4 = 20 units long.

If this is enlargement applied to all sides, then the perimeter also goes up by the same scale factor (since the perimeter is the sum of all exterior sides). The image perimeter will be four times that of the preimage perimeter.

In summary, if you apply a dilation (where k is not equal to 1), then the perimeter will change. If k > 1, then the perimeter gets larger. If 0 < k < 1, then the perimeter will shrink.

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Extra info:

Answer:

C.

f(x) = 0.34 + 0.21(x – 1); $.97

Step-by-step explanation:

In 2002, the price of mailing a letter was $.34 for the first ounce and $.21 for each ounce after the first ounce. Write a rule to describe the function.

---------------------------------------

Price = 0.34 + 0.21(x-1) where x is the weight of the item in ounces.

Let +x+ = weight of the letter in ounces

Let +P+ = the price of mailing the letter in dollars

---------------------------------------

+P+=+.34+%2B+.21%2A%28+x+-+1+%29+

( +x+%3E=+1+ )

-----------------------------

A 4-ounce letter costs

+P+=+.34+%2B++%28+4+-+1+%29%2A.21+

+P+=+.34+%2B+.63+

+P+=+.97+

It costs $.97

Answer:

8/15 bc im beautiful

Step-by-step explanation:

Answer:

imma need my points back

Step-by-step explanation:

Answer:

D should be the anwser if i did my math correctly!

Answer:

265.65

Step-by-step explanation:

(3.75*39)+(27*5.95)-(11*3.75) = 265.65

Answer: 3

Step-by-step explanation:

Answer:-1.5

Step-by-step explanation:

First, -3/4 = -0.75

Second, -0.75 divided by 2 is -1.5

Scroll down for answer!

Step-by-step explanation:

123.51/2.3 = 53.7

Two options = 53.7 or 53.1

Answer:

[tex]\frac{n}{2}[/tex]

Answer:

b = 116⁰

we have:

b + 64⁰ = 180⁰

<=> b = 180⁰ - 64⁰

<=> b = 116⁰

Vertical angles. hope it helps.

Answer:

Vertical angles.

Step-by-step explanation:

Angles 4 and 2 have the same angle measure and angles 1 and 3 have the same angle measure. This happened because the lines intersected each other.

Answer:

fondo

Step-by-step explanation:

Answer:

in the middle of venn diagram

Step-by-step explanation:

Answer:

first find the profit

profit % is the profit over CP times 100

Answer:

The solution of the given inequality is y>-2.

Step-by-step explanation:

The given inequality is :

2(4y-3) > -22

Using distributive property on LHS of the above inequality.

8y-6 >-22

Add 6 both sides of the inequality

8y-6+6 >-22+6

8y>-16

y>-2

So, the value of y is more than -2.

Step-by-step explanation:

John and his 3 friends decide to order food. The cost of one box of food is $x. If each boy purchases one box of food, what is the total cost? *z decreased by 3 as an algebraic expression is *How many terms does the following expression contain? 2x + 5y - 5State the value of 9x - 3y if x=2 and y=3 *State the constant in the expression: ab + 5 - 2c *

Your answer

State the variable in the expression: 5p + 3 *Tanya is n years old today. How old will she be in 5 years?16 more than thrice m as an algebraic expression is *State the coefficient in the expression: 3x - 7 *

Your answer

State the value of ab if a=3 and b=5 *State the value of 9x - 3y if x=2 and y=3 *John and his 3 friends decide to order food. The cost of one box of food is $x. If each boy purchases one box of food, what is the total cost? *Vertical jumpHead turning

Answer:

x= 25

Step-by-step explanation:

2x + 3 + 4x + 6 + 12x + 18 = 477

FIRST combine like terms

take all "x"

2+4+12= 18x

take all whole numbers

3+6+18= 27

18x+27= 477

now solve for x

-27 on both sides

18x= 450

÷18 on both sides

x= 25

yoi have to add the variables so 2x +4x+12x=18x and concombine like terms so 3 +6+18=27 so you have to put tbat together 18x+27=477 then you have to get x alone so you have to subtract 27 in both sides 27-27=0 then 477-27=450 then you have to do the oppsite of multiply so you have to divide 18x/18x and 450/18x 18÷18 is 1 so you just have to put x and then divide 450÷18=25 so x=25.

Answer:

D) 4/25

But didn't he have to buy at least the whole 25 KG bag?

Step-by-step explanation:

Answer:

[tex]\dfrac{1}{24}\ \text{yard}[/tex]

Step-by-step explanation:

Amount of ribbon Trista had is [tex]\dfrac{7}{8}\ \text{yard}[/tex]

Amount of ribbon used in the frame [tex]\dfrac{5}{6}\ \text{yard}[/tex]

Amount of ribbon remaining is

[tex]\dfrac{7}{8}-\dfrac{5}{6}=\dfrac{21-20}{24}[/tex]

[tex]=\dfrac{1}{24}\ \text{yard}[/tex]

The amount of ribbon remaining is [tex]\dfrac{1}{24}\ \text{yard}[/tex].

9514 1404 393

Answer:

  y = 3x -8

Step-by-step explanation:

We assume you want the tangent to the parabola y = x² -3x +1 at the given point. The slope is found using the derivative of the function at that point.

  y' = 2x -3

At x=3, the slope is ...

  y' = 2(3) -3 = 3

The equation of the line through point (3, 1) with a slope of 3 is ...

  y -1 = 3(x -3) . . . .  use the point-slope form of the equation for a line

  y = 3x -9 +1 . . . . . eliminate parentheses, add 1

  y = 3x -8

Answer:

Step-by-step explanation:

[tex]A=2\cdot\pi R^2+ 2\pi R\cdot H\\\\H=4\,m\\R=2\,m\\\\A=2\cdot\pi\cdot 2^2+2\pi \cdot2\cdot4=8\pi+16\pi=24\pi=75.398223....\approx75.398\ m^2[/tex]

Answer:

T=4

l=11.60

Step-by-step explanation:

T is for time,and time given is 4.

so t=4 years

and Interest given is 11.60 bucks

so I=11.60

keep in mind that PRINCIPAL IS NEVER A PERFENTAGE!

RATE IS ALWAYS A PERCENTAGE!

Here, principal is 100 bucks and rate is 2.9%

also keep in mind that principal isnalways greater than interest.

thank you

Answer:

−18x+24y

Step-by-step explanation:

sorry if its wrong

Answer:

3

Step-by-step explanation:

7*3=21

21*3=63

Hope this helps.

Answer:

decreasing by a multiple of 3

Step-by-step explanation:

7x3=21, 21x3=63.

I think this is the answer! or I hope this helps a bit. have a good day or night!