write down the equation of the ellipse that has its center at the origin, focus at (1,0) and vertex at (8,0)

Answer:

(2−1)(3+2)

Step-by-step explanation:

Rewrite in product form

2x(3x+2) - 1(3x+2)

(2x-1) (3x+2)

Answer:

[tex]Mean = 10724.29\ mi[/tex]

Step-by-step explanation:

Given

[tex]n = 7[/tex] --- days

See attachment for odometer readings

Required

The mean of the distance

Mean is calculated as:

[tex]Mean = \frac{\sum x}{n}[/tex]

So, we have:

[tex]Mean = \frac{10150 + 10211 + 10424 + 10769 + 10884 + 11155 + 11477}{7}[/tex]

[tex]Mean = \frac{75070}{7}[/tex]

[tex]Mean = 10724.2857143[/tex]

Approximate

[tex]Mean = 10724.29\ mi[/tex]

Answer:

Yeah I’m completely stuck on this question I’m just gonna go with 61 because 10,211-10,115 is 61 miles and that’s the only realistic answer I can get.

Answer:

15

Step-by-step explanation:

w represents width

4w represents length

d represents diagonal

w2 + (4w)2 = d2

w2 + 16w2 = d2

17w2 = d2

±w√17 = d

The diagonal is the width times √17.

Answer:

636

Step-by-step explanation:

SA=2LW+2LH+2WH

SA= 2(12)(10)+2(12)(9)+2(10)(9)= 636

Answer:

The answer is 636

Step-by-step explanation:

Brainliest maybe?

:)

Answer:

y = -3

Step-by-step explanation:

TO FIND :-

FACTS TO KNOW BEFORE SOLVING :-

A simple law of exponents which will be used to solve the problem :-

SOLUTION :-

[tex]3^3 \times 3^{(y-2)} = 3^{-2}[/tex]

[tex]=> 3^{3+y-2} = 3^{-2}[/tex]

[tex]=> 3^{y+1} = 3^{-2}[/tex]

Bases are same in both sides of equation. So , their powers must be equal to each other.

[tex]=> y + 1 = -2[/tex]

[tex]=> y = -2 - 1 = -3[/tex]

Answer:

Step-by-step explanation: Because equivalent expressions is when you Combine any like terms on each side of the equation: x-terms with x-terms and constants with constants. Arrange the terms in the same order, usually x-term before constants. If all of the terms in the two expressions are identical, then the two expressions are equivalent.

Answer:

Step-by-step explanation:

im assuming were solving for k so we wanna get it by itself

9k - 18 = -6

start by adding 18 to both sides

9k = 12

then divide both sides by 9

k = 12/9

hope this helps <3

Answer:

the answer is

k= 4/3

Step-by-step explanation:

9k-18=-6

9k=-6+18

9k=12

k= 12/9

simplify it which gives k=4/3 or in decimal form 1.333

The data set represents an inverse variation. When x increases, y decreases, and vice versa. This is the hallmark of an inverse variation. So, the correct answer is B: Inverse variation.

Inverse variation is a mathematical relationship between two variables where an increase in one variable results in a decrease in the other and vice versa. In other words, the product of the two variables remains constant as the values of the variables change. This relationship is represented by the equation y = k/x, where y and x are the two variables, and k is a constant.

For example, consider the situation where the speed of a car is inversely proportional to the time it takes to cover a certain distance. If a car covers a distance of 60 miles in 1 hour, it would cover a distance of 30 miles in 2 hours, because the speed has halved. This relationship can be represented mathematically as s = k/t, where s is the speed, t is the time, and k is a constant.

To know more about equation visit:

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#SPJ1

9514 1404 393

Answer:

  3

Step-by-step explanation:

From a given vertex, two of the vertices are adjacent, so a "diagonal" to those will not form a triangle. The number of diagonals that can be drawn is 3 fewer than the number of sides. The number of triangles is 1 more than the number of diagonals.

For a 5-sided figure, 2 diagonals can be drawn from a common vertex.

  3 triangles will be formed.

Answer:

y(t) =  3u₂(t) [ [tex]e^{-2t+4} - e^{-5t + 10)}[/tex] ] - 4u₅(t) [ [tex]e^{-2t+10)} - e^{-5t + 25)}[/tex] ]

Step-by-step explanation:

To find - y″+ 5y′ + 6y = 3δ(t − 2) − 4δ(t −5); y(0) = y′(0) = 0

Formula used -

L{δ(t − c)} = [tex]e^{-cs}[/tex]

L{f''(t) = s²F(s) - sf(0) - f'(0)

L{f'(t) = sF(s) - f(0)

Solution -

By Applying Laplace transform, we get

L{y″+ 5y′ + 6y} = L{3δ(t − 2) − 4δ(t −5)}

⇒L{y''} + 5L{y'} + 6L{y} = 3L{δ(t − 2)}  − 4L{δ(t −5)}

⇒s²Y(s) - sy(0) - y'(0) + 5[sY(s) - y(0)] + 6Y(s) = 3[tex]e^{-2s}[/tex] - 4[tex]e^{-5s}[/tex]

⇒s²Y(s) - 0 - 0 + 5[sY(s) - 0] + 6Y(s) = 3[tex]e^{-2s}[/tex] - 4[tex]e^{-5s}[/tex]

⇒s²Y(s) + 5sY(s) + 6Y(s) = 3[tex]e^{-2s}[/tex] - 4[tex]e^{-5s}[/tex]

⇒[s² + 5s + 6] Y(s) = 3[tex]e^{-2s}[/tex] - 4[tex]e^{-5s}[/tex]

⇒[s² + 3s + 2s + 6] Y(s) = 3[tex]e^{-2s}[/tex] - 4[tex]e^{-5s}[/tex]

⇒[s(s + 3) + 2(s + 3)] Y(s) = 3[tex]e^{-2s}[/tex] - 4[tex]e^{-5s}[/tex]

⇒[(s + 2)(s + 3)] Y(s) = 3[tex]e^{-2s}[/tex] - 4[tex]e^{-5s}[/tex]

⇒Y(s) = [tex]\frac{3e^{-2s} }{(s + 2)(s + 3)} - \frac{4e^{-5s} }{(s + 2)(s + 3)}[/tex]

Now,

Let

[tex]\frac{1}{(s+2)(s+3)} = \frac{A}{s+2} + \frac{B}{s+3} \\\frac{1}{(s+2)(s+3)} = \frac{A(s + 3) + B(s+2)}{(s+2)(s+3)}\\1 = As + 3A + Bs + 2B\\1 = (A+B)s + (3A + 2B)[/tex]

By Comparing, we get

A + B = 0 and 3A + 2B = 1

⇒A = -B

and

3(-B) + 2B = 1

⇒-B = 1

⇒B = -1

So,

A = 1

∴ we get

[tex]\frac{1}{(s+2)(s+3)} = \frac{1}{s+2} + \frac{-1}{s+3}[/tex]

So,

Y(s) = [tex]3e^{-2s}[ \frac{1}{(s + 2)} - \frac{1}{(s + 3)}] - 4e^{-5s}[ \frac{1}{(s + 2)} - \frac{1}{(s + 3)}][/tex]

⇒Y(s) = [tex]3e^{-2s} \frac{1}{(s + 2)} - 3e^{-2s} \frac{1}{(s + 3)} - 4e^{-5s}\frac{1}{(s + 2)} + 4e^{-5s}\frac{1}{(s + 3)}[/tex]

By applying inverse Laplace , we get

y(t) = 3u₂(t) [ [tex]e^{-2(t-2)} - e^{-5(t - 2)}[/tex] ] - 4u₅(t) [ [tex]e^{-2(t-5)} - e^{-5(t - 5)}[/tex] ]

⇒y(t) =  3u₂(t) [ [tex]e^{-2t+4} - e^{-5t + 10)}[/tex] ] - 4u₅(t) [ [tex]e^{-2t+10)} - e^{-5t + 25)}[/tex] ]

It is the required solution.

Answer:

48

Step-by-step explanation:

One dozen is 12.

12 x 4 = 48

Answer:

406

Step-by-step explanation:

hii :)

so to find the area we're going to find the area of the shapes and add them.

both 14 by 7 faces: 98*2=196

both 5 by 14 faces: 70*2=140

both little squares: they are 7 by 5 because the first shape would fold over so they would be equal. 35*2=70

adding them together: 196+140+70=406

hope this helped!

Answer:

yes

Step-by-step explanation:

yes

Answer:

Step-by-step explanation:

Farmers usually open bakery's to sell their produce or ship them to grocery stores like Walmart, Cosco, etc. I hope this answered your question since I don't quite understand...

Answer:

Yes

Step-by-step explanation:

4/4 is the same thing as 4 divided by 4 which equals 1

7/8 is the same thing as 7 divided by 8 which equals 0.875

Since 1 > 0.875, 4/4 > 7/8

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

95/12 as an improper fraction.

Answer:

[tex]\frac{29}{12}[/tex] or 2 [tex]\frac{5}{12}[/tex]

Step-by-step explanation:

Answer:

(x - .20)(x - .50)

[tex]x^{2}[/tex] = (.20)(.50)

[tex]x^{2}[/tex] = 0.1

x = [tex]\sqrt{ .1[/tex]

x = .32

the product of two numbers decrease by 32%

Answer:

A= 67/18

C= 8.5005

B= 28

Step-by-step explanation:

Answer:

ok sure

Step-by-step explanation:

So 'mean' basically just means average, and to get the average you must first add together all of the measurements. Then you have to divide that number by how many measurements you have, and in this case that would be 4.

       13 + 7 + 9 + 6 = 35

           35 ÷ 4 = 8.75

So  the answer to this question is 8.75

Answer:

∠TRU is supplementary with ∠PQS as SQ║TR.

Supplementary angles add up to 180°.

Consider ΔRTU

∠RUV is exterior angle and therefore is sum of ∠TRU and ∠RTU:

<TRU

Sum of 2 interiors =exterior

<RTU

Answer:

Mercantilism allowed for government regulation of trade, which interfered with natural market forces.

Answer:

Option a. 1.2 is the correct answer

Step-by-step explanation:

Given the data in the question;

sample size n = 10

sub group = 6

The average of sample means x" = 3.2

Average range value R' = 0.6

the value of UCL for the R-chart = ?

To get the value of UCL for the R-chart, we say;

[tex]UCL_R[/tex] = D₄ × R'

from table of constants "Tabular values for x-bar and range charts

for size 6, the factor for control limits for range D₄ = 2.004

so we substitute  

[tex]UCL_R[/tex] = 2.004 × 0.6  

[tex]UCL_R[/tex] = 1.2024 ≈ 1.2  

Hence, Option a. 1.2 is the correct answer.

Answer:

Diameter of the circle = 7

Step-by-step explanation:

The exact question is as follows :

Given - The prom is in need of a floral archway, such as the one below. Segment RC is the perpendicular bisector of segment AH. If AH=6 and RC=2

To find - determine the diameter of the circle that contains AH.

Proof -

Given that,

AH = 6

RC = 2

Let us denote,

CB = x

So,

RB is the radius of the circle. It gives the value x + 2

As AH = 6

⇒AC = CH = 3

Also,

BH is the radius,

So, BH = x + 2

Now,

In triangle CBH,

BH² = CB² + HC²

⇒(x+2)² = x² + 3²

⇒x²+2² + 4x = x² + 9

⇒4 + 4x = 9

⇒4x = 9 - 4

⇒4x = 5

⇒x = 5÷4

⇒x = 1.5

So,

Radius = x + 2

           = 1.5 + 2 = 3.5

⇒Radius = 3.5

As we know,

Diameter = 2×Radius

                = 2×3.5

                = 7

⇒Diameter of the circle = 7

The Pythagoras is the sum of the square of two sides is equal to the square of the longest side. Then the diameter of the circle is 6.5 units.

It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.

The prom is in need of a floral archway, such as the one below.

Segment RC is the perpendicular bisector of segment AH.

If AH = 6 and RC = 2.

Let CB be x.

Then the radius RB will be x + 2

BH = x + 2

Then by the Pythagoras theorem, we have

BH² = CB² + HC²

⇒ (x + 2)² = x² + 3²

⇒x² + 4 +4x = x² + 9

⇒ 4x = 5

⇒ x = 1.25

The radius will be

r = x + 2

r = 1.25 + 2

r = 3.25

Then the diameter will be

Diameter = 2 × r

Diameter = 2 × 3.25

Diameter = 6.5

More about the right-angle triangle link is given below.

https://brainly.com/question/3770177

Answer:

Perpendicular bisector

Step-by-step explanation:

Have a great day!!

Answer:

416

Step-by-step explanation:

since this is a trapezoid, you would calculate the area by the formula

(a+b )h/2 where h is the height and a and b are the 2 bases

When you plug the values in you get the answer as 416

Hope this Helps!

Step-by-step explanation:

The given angle is a 90° . Therefore the sum of both angles is 90° .

> 40 + x = 90

> x = 90 - 40

> x = 50

Solution 2 ;-

> 20 + x = 90

> x = 70

Answer:

True very true

Step-by-step explanation:

Answer:

theres nothing there

Step-by-step explanation:

Answer:

There is nothing attatched sorry

Answer:

N/A

Step-by-step explanation:

Please be more specific, which is base and which is height