Find the equation of the ellipse with foci at (+-3,0) and major axis of length 12.

Answer:

A) oblique hexagonal prism

Step-by-step explanation:

Answer:

right hexagonal prism

Step-by-step explanation:

as seen on the Image below the left one is a right hexagonal prism and the right one is a oblique hexagonal prism.

The height of this parallelogram include the following: B. 12 cm.

In Mathematics and Geometry, the area of a parallelogram can be calculated by using the following formula:

Area of a parallelogram, A = b × h

Where:

By substituting the given parameters into the formula for the area of a parallelogram, we have the following;

Area of a parallelogram = 10 × 12

Area of a parallelogram = 120 cm².

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

The equation for the gradient on the curve C is y = x³ - 2x² + 5x - 3

Given data ,

Let the gradient of every point on the curve C is given by the equation dy/dx = 3x² - 4x + k

Now , we can integrate this equation with respect to x to obtain the equation for C

∫(dy/dx)dx = ∫(3x² - 4x + k)dx

Integrating the right-hand side with respect to x, we get:

∫(3x² - 4x + k)dx = x^3 - 2x^2 + kx + C1

where C1 is the constant of integration

Now, on simplifying the points P(0, -3) and Q(2, 7) that lie on C to find the values of C1 and k

For point P(0, -3)

when x = 0, y = -3

Plugging these values into the equation x³ - 2x² + kx + C1 = y, we get:

0³ - 2(0)² + k(0) + C1 = -3

C1 = -3

For point Q(2, 7):

when x = 2, y = 7

Plugging these values into the equation x³ - 2x² + kx + C1 = y, we get:

2³ - 2(2)² + k(2) - 3 = 7

k = 5

On substituting the values of C1 and k back into the equation , we get

y = x³ - 2x² + 5x - 3

Hence , the equation is y = x³ - 2x² + 5x - 3

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Answer:

y=-3

Step-by-step explanation:

Answer:

Y = - 3

Step-by-step explanation:

So lets help you out here.....

First of all you should set up how you have to solve, let do this step by step...

Step 1 : 2y + 3y - 18 = - 33

Step 2 : Combine like terms... (2y + 3y = 5y)

Step 3 : Set up your new equation (5y - 18 = - 33)

Step 4 : Subtract negative 18 by negative 33 (- 18 - 33 = -15)

(PS: In a calculator - 18 - 33 is -51 but the 18 is also a negative so it would be - 15)

Step 5 : Divide (- 15 / 5 = - 3)

And that is how you solve this problem, have a great day!!!!!!

Note that given the angle of elevation, the distance from pont A to Point B is approximately 627.6ft.

See the attached image.

As shown in the attached figure:

L = AO Tan 8°

L = 1035 * Tan 8°

L = 1035 * 0.14054083470239144683811769343281

L = 1035 * 0.14054083470239144683811769343281

L = 145.46 Feet


BO = L/Tan 5°
BO =  145.459763917 / 0.08748866352592400522201866943496
BO = 1662.61270952
BO = 1662.6 Feet

Since AB = BO-AO
AB = 1662.6-1035

AB = 627.6 Ft.

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The triangles are similar, and the scale factor is given as follows: k = 0.8.

Similar triangles are triangles that share these two features listed as follows:

The sum of the measures of the internal angles of a triangle is of 180º, hence the measure of the missing angle is given as follows:

x + 114 + 24 = 180

x + 138 = 180

x = 42º.

Which is equals to the measure on the second triangle, hence they are similar.

The scale factor is given as follows:

k = 16/20 = 36/45 = 0.8.

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Answer:

2.45ℓ

Step-by-step explanation:

0.33ℓ x 4 = 1.32ℓ (1ℓ 320 ml)

11.12ℓ - 1.32ℓ = 9.8ℓ (total in 4 jugs)

9.8ℓ ÷ 4 = 2.45ℓ (each jug)

hope this helped :)

Answer:

False. If the revaluation of the asset is higher than the carrying value, the following entries will be made: Debit Asset account and Credit Revaluation reserve account. The revaluation reserve account is a balance sheet account and does not affect the capital accounts of the partners directly. However, the revaluation reserve may indirectly affect the capital accounts of the partners if the revaluation reserve is distributed to the partners or used to offset losses in the future. It is worth noting that the specific accounting treatment may vary depending on the accounting standards being used by the company.

Step-by-step explanation:

The spreadsheet formula that will calculate the post-split number of outstanding shares in C3 will be C3*(B2/C2).

Assuming the split ratio has been inputted in cells B2 and C2, one can easily ascertain the post-split number of outstanding shares in cell C3 by simply using the following formula:

=C3 × (B2/C2).

In this case, the equation multiplies the pre-split quantity of outstanding shares by the ratio written down in cells B2/C2 for the determination of resulting post-split number of outstanding shares that are in cell C3.

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The testable question can be Which sprouts faster, a moist lima bean or a dry lima bean?

We have,

June laces a lima bean inside a damp paper towel, then places it in a baggie.

June takes another lima bean and places it in a dry paper towel and puts it in a baggie.

The Experiment is related to moisture because one damp and one dry towel is used.

So, the testable question can be

Which sprouts faster, a moist lima bean or a dry lima bean?

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The coordinates of the new point  is (-6, -2)

From the question, we have the following parameters that can be used in our computation:

Point = (6, 2)

Rule: 180 degrees rotation

The rule of 180 degrees rotation is

(x, y) = (-x -y)

substitute the known values in the above equation, so, we have the following representation

image = (-6, -2)

Hence, the image = (-6, -2)

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Answer:

x = 6 feet

Step-by-step explanation:

using Pythagoras' identity in the right triangle.

the square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² + 8² = 10²

x² + 64 = 100 ( subtract 64 from both sides )

x² = 36 ( take square root of both sides )

x = [tex]\sqrt{36}[/tex] = 6 feet

The calculated value of r ihe lateral area of the cylinder is 512π square units is 16 units

From the question, we have the following parameters that can be used in our computation:

The lateral area of the cylinder is 512π square units

The lateral area of the cylinder is 2πrh

So, we have

2πrh = 512π

Substitute r for h

2πr^2 = 512π

Divide both sides by 2π

So, we have

r^2 = 256

Take the square roots

r = 16

Hence, the radius is 16 units

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The numeric ratio of the segment ratio are:

To find the numeric ratios of the given segment ratios, to calculate the distances between the given points.

CD: DB

The distance between C(6,2) and D(4,3) is:

CD = √[(6 - 4)² + (2 - 3)²] = √5

The distance between D(4,3) and B(-4,7) is:

DB = √[(4 + 4)² + (3 - 7)²] = 10

Therefore, the numeric ratio of CD:DB is:

CD:DB = √5:10

CE: CA

The distance between C(6,2) and E(4,2) is:

CE = √[(6 - 4)² + (2 - 2)²] = 2

The distance between A(-4,2) and C(6,2) is:

CA = √[(-4 - 6)² + (2 - 2)²] = 10

Therefore, the numeric ratio of CE:CA is:

CE:CA = 2:10

DE: BA

The distance between D(4,3) and E(4,2) is:

DE = √[(4 - 4)² + (3 - 2)²] = 1

The distance between B(-4,7) and A(-4,2) is:

BA = √[(-4 + 4)² + (7 - 2)²] = 5

Therefore, the numeric ratio of DE:BA is:

DE:BA = 1:5

CD: CB

The distance between C(6,2) and D(4,3) is:

CD = √[(6 - 4)² + (2 - 3)²] = √5

The distance between C(6,2) and B(-4,7) is:

CB = √[(6 + 4)² + (2 - 7)²] = √181

Therefore, the numeric ratio of CD:CB is:

CD:CB = √5:√181

Based on the numeric ratios, determine the type of ratio for each segment ratio:

CD: DB is a part:part ratio

CE: CA is a part:whole ratio

DE: BA is a part:part ratio

CD: CB is a part:whole ratio

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Salton City has a lower altitude because -60.96 meters is less than -38.1 meters.

Option C is the correct answer.

We have,

The altitude of Bombay Beach is -60.96 meters.

The altitude of Salton City is -38.1 meters.

Altitude is the height of a location above sea level, and a negative value indicates that the location is below sea level.

Therefore, we can see that Salton City has a higher altitude than Bombay Beach because -38.1 meters is a higher altitude than -60.96 meters.

Thus,

Salton City has a lower altitude because -60.96 meters is less than -38.1 meters.

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Yes because in the second expression, you use the distributive property, multiplying the 3 by the 3a and the 4 in parentheses. This equals 9a+12, which is the other expression

Answer:

17.

90 - 75 = 15

Answer: b

18.

ABC

Answer: A

19.

Answer: D

20.

Answer: D

The percentage of the total that women represent, would be 60% of the total.

Given that 60 % of men is equal to 40 % of women, we have :

0. 6 M = 0. 4 W

Solving for women in terms of Men gives:

W = ( 0.6 x M) / 0.4

= 1.5 x M

We can then find the percentage of women to be:

= (W / Total ) x 100

= ((1.5 x M) / (2.5 x M)) x 100

= (1.5 / 2.5) x 100

= 0.6 x 100

= 60%

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The equation that represents the number of credits the student has earned after t semesters is C(t) = 12t + 15.

Let x be the number of credits the student had before starting college, and let y be the number of credits the student takes each semester. We can use this information to write an equation that represents the number of credits the student has earned after t semesters.

After 2 semesters, the student had 39 credits, which means the student earned 2y + x credits in those two semesters. Similarly, after 5 semesters, the student had 75 credits, which means the student earned 5y + x credits in those five semesters.

Using this information, we can write the following equation:

C(t) = yt + x

where C(t) represents the number of credits the student has earned after t semesters.

We know that C(2) = 2y + x = 39 and C(5) = 5y + x = 75. We can use these two equations to solve for x and y:

2y + x = 39

5y + x = 75

Subtracting the first equation from the second equation gives:

3y = 36

Therefore, y = 12, which means the student takes 12 credits each semester. Substituting y = 12 into either of the two equations above gives x = 15, which means the student had 15 credits before starting college.

Thus, the equation that represents the number of credits the student has earned after t semesters is C(t) = 12t + 15.

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Step-by-step explanation:

the volume of a sphere is

4/3 × pi × r³

the original sphere had a radius of 3.

now, after a dilation of factor 4 the radius is 3×4 = 12.

the volume of that sphere is then

4/3 × pi × 12³ = 4/3 × pi × 1728 = 2304pi

The percentage of pennies in the roll is A = 30 %

Given data ,

Let the percentage of pennies in the roll made before 1985 be A

Now , the total number of pennies be = 50 pennies

And , the number of pennies made before 1985 is = 15 pennies

So , the percentage is A = ( 15 / 50 ) x 100

On simplifying the equation , we get

A = 3/10 x 100

A = 30 %

Hence , the percentage is 30 %

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Answer:

144

Step-by-step explanation:A first add 98 + 46 keyword Sum for interior angles

The ratio in simplest form is 1:4, the correct option is C.

We are given that;

The options  A. 2/3 B. 3/4 C. 1/4 D. 4/1

Now,

The letters D and O are used 2 times and 4 times respectively in the words “RATIOS AND PROPORTIONS”. So we can write the ratio as 2:4.

The GCF of 2 and 4 is 2, since 2 is the largest number that can divide both 2 and 4 without leaving a remainder.

To simplify the ratio, we divide both terms by 2:

2:4 = (2/2):(4/2) = 1:2

Therefore, by the ratio the answer will be 1/4.

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Answer:

(2,0)

Step-by-step explanation: