Marisol draws a rectangle with a length of 12 inches and a width of 6 inches

The equation is now in the standard shape of a hyperbola, as per the provided assertion. [(x - h)² / a²] - [(y - k)² / b²] = 1

A curve formed by the junction of a double right-angled cone and a plane that slices one half of the cone. a plane curve produced by a point so mobile that the difference between its distance from two fixed locations is a constant.

To complete the square for the given equation, we will group the x and y terms and complete the square separately for each.

4x² + 24x - 9y² + 18y - 9 = 0

4(x² + 6x) - 9(y² - 2y) = 9

4(x² + 6x + 9 - 9) - 9(y² - 2y + 1 - 1) = 9

4(x + 3)² - 9(y - 1)² = 36

Dividing by 36, we get:

(x + 3)² / 9 - (y - 1)² / 4 = 1

So, the equation is now in the standard form of a hyperbola:

[(x - h)² / a²] - [(y - k)² / b²] = 1

where h and k are the coordinates of the center, a is the distance from the center to the vertices along the x-axis, b is the distance from the center to the vertices along the y-axis, and the slope of the asymptotes is b/a.

Comparing with the standard form, we can see that:

h = -3, k = 1, a = 3, b = 2, and the slope of the asymptotes is b/a = 2/3.

The center is (-3, 1). The hyperbola opens horizontally, and its vertices are located at (-3 + a, 1) and (-3 - a, 1). So, the vertices are (-6, 1) and (0, 1).

The asymptotes are two straight lines passing through the center with a slope of ±(b/a) = ±2/3. So, the equations of the asymptotes are y - 1 = (2/3)(x + 3) and y - 1 = -(2/3)(x + 3), which simplify to y = (2/3)x + 5/3 and y = -(2/3)x + 1/3.

The distance between the center and the foci is c = sqrt(a² + b²) = √(13). The foci are located at (-3 + c, 1) and (-3 - c, 1). So, the foci are approximately (-0.16, 1) and (-5.84, 1).

The graph of the hyperbola looks like two mirrored U-shaped curves, with the vertices being the endpoints of the transverse axis.

The asymptotes intersect at the center and divide the hyperbola into four parts, called branches. The foci are located on the transverse axis, inside the branches.

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The simplification of the polynomial using factor by substitution is: ((3y - 2)⁴ - 1)/(3y - 2)²

Factoring polynomials simply means separating a polynomial into its component polynomials.

Sometimes, in the event that polynomials are particularly complicated, it is usually easiest to substitute a simple term and factor down.

We have the equation:

(3y - 2)² - (3y - 2)⁻²

Let 3y - 2 be denoted by S and as such we have:

S² - S⁻²

= S² - 1/S²

Using the denominator as factor, we have:

= (S⁴ - 1)/S²

Plugging 3y - 2 for S gives us:

((3y - 2)⁴ - 1)/(3y - 2)²

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Fabric cost ($15 per yard) and curtain making and hanging ($250). x represents the total cost of the fabric and Mrs. Andretti can use the formula 15x to calculate the fabric cost and add the $250 fixed charge to get the total cost of the curtain. 

Cost computation helps in deciding on pricing, manufacturing output, and sales. It also helps in figuring out the costs of the products and services the company sells.

X does not represent the cost of fabric. X represents the number of yards of fabric used.

15x + 250

Could be read as ($15 × # of yards) + $250

She must therefore pay $15 per yard of cloth in addition to the $250 base cost of having them produced and hung.

She may indicate the price of fabric with an additional variable.

Example: Y

Y= 15x

Cost of fabric is equal to $15 per yard × # of yards.

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Step-by-step explanation:

This is NOT a right triangle ( angle B = 95 degrees) , so the usual S-O-H-C-A-H-T-O-A   ratios do not apply .

Thus, the area of the pentagon formed by the given coordinates is:

A = 28.5 sq. units.

A pentagon is just a five-sided polygon in geometry having five straight sides and five inner angles totaling 540 degrees. A pentagon is a five-sided, flat (two-dimensional), plane geometric form.

The coordinates of polygon are:

A(1,3), B(2,8), C(8, 8), D(10,3), and E(5,-2).

Plot the points on the graph as shown.

The area of a pentagon calculation is used to determine the area of a pentagon with apothem, a, but one side length, s:

A = 1/2 * a * (5s)

a = apothem, of perpendicular distance from the centre.

s = length of side.

From graph:

s = 6 units.

a is calculated using the tan function.

each interior angle of pentagon  = 54 degrees.

So,

tan (54/2) = a/ (s/2)

tan (36) = a/3

a = 3*tan (36)

a = 1.90 units

A = 1/2 * 1.90 * (5*6)

A = 28.5 sq. units.

Thus, the area of the pentagon formed by the given coordinates is:

A = 28.5 sq. units.

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Answer:10.9

Step-by-step explanation:

using soh cah toa:

[tex]Sin40=\frac{b}{17}[/tex]

[tex]B=sin40 .17[/tex]

B=10.9

Answer:

208xi+53.26=261.26

Step-by-step explanation:

Please mark brainiest please I am correct

⬇️⬇️⬇️⬇️⬇️⬇️⬇️⬇️⬇️ me after doing the problem

Answer:

Step-by-step explanation:it will be 44/1 = 44

Since 4 2/5 x 10

We will use 10 as 10/1

and 4 2/5 as 22/5 so

22/5 x 10/1 we cross out the 5 and 10 since there a factor of each other

then it will be 22/1 x 2/1 it will be much easier

Then 22 x 2 = 44

1x1 = 1

=44/1 = 44

The journal could use a one-tailed hypothesis test with a significance level (α) of 0.05 to determine whether there is a significant difference between the proportion of women and men.

In statistics, the p-value is a measure of the evidence against the null hypothesis. It is the probability of observing a test statistic as extreme as, or more extreme than, the one calculated from the sample data, assuming that the null hypothesis is true. In other words, the p-value is the probability of obtaining the observed results, or more extreme results, if the null hypothesis were true.

Given by the question.

To test the claim that women perceive the gender equality problem to be much more compared to men, the journal could test the following hypothesis:

Hypothesis: The proportion of women who perceive gender equality to be a major problem in the workplace (W) is significantly greater than the proportion of men who perceive gender equality to be a major problem in the workplace (M).

H0: W = M (there is no significant difference in perception of gender equality between men and women)

Ha: W > M (women perceive gender equality to be a major problem more than men do)

who perceive gender equality to be a major problem in the workplace. They could calculate the p-value and compare it to α. If the p-value is less than α, they would reject the null hypothesis and conclude that the proportion of women who perceive gender equality to be a major problem in the workplace is significantly greater than the proportion of men who perceive it to be a major problem.

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Answer:

2

Step-by-step explanation:

Answer:

1.3

Step-by-step explanation:

look at the hundredths place to decide how to round (1.2541).

when a digit is greater than or equal to 5, we round up

in this number, the hundredths place is 5, meaning we round up to get 1.3

i hope this helps :D

Answer: D. 2/3

Step-by-step explanation:

If it is 1/5 of an hour, we times it by 5, to get full hour, right?

So, we also do ×5 for the acre of land, so we can get the amount of acres in a full 1 hour.

5 is the same as 5/1 as a fraction

1/5 × 5 = 5/5 ......1 hour

2/15 × 5/1 = 10/15

So we get, 10/15 acre of land cleared in 1 hour

We simplify 10/15,

Which becomes,

2/3.

In conclusion, this is the working out =

2/15 × 5 = 10/15 = 2/3

Answer:

Step-by-step explanation:
The standard equation of a circle with center (a, b) and radius r is:

(x - a)^2 + (y - b)^2 = r^2

Using the given values, we have:

(x - (-3))^2 + (y - 5)^2 = 2^2

Simplifying:

(x + 3)^2 + (y - 5)^2 = 4

Therefore, the standard equation of the circle is (x + 3)^2 + (y - 5)^2 = 4.

Answer:

[tex] (x + 3)^2 + (y - 5)^2 = 4 [/tex]

Step-by-step explanation:

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

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

[tex] (x + 3)^2 + (y - 5)^2 = 4 [/tex]

When D (k, o) (3,5) = (7.41, 12.35), then the scale factor k is 2.47. The solution has been obtained by using arithmetic operations.

What are arithmetic operations?

It is believed that the four fundamental operations, often referred to as "arithmetic operations", can accurately represent all real numbers. Division, multiplication, addition, and subtraction are followed by the mathematical operations quotient, product, sum, and difference.

We are given that D is (k, o) (3,5) = (7.41, 12.35).

This can be represented as

⇒ (3k,5o) = (7.41, 12.35)

So,

⇒ 3k = 7.41

⇒ k = 2.47      (Using the division operation)

Hence, when D (k, o) (3,5) = (7.41, 12.35), then the scale factor k is 2.47.

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The equation of the rule that relates x and y is y = 2x - 6.

Anything on one side of the equals sign in a calculation must equal anything on the other side of the equals sign. So long as we maintain the balance on both sides of the equals symbol, we can do whatever we want to an equation.

We can create a system of equations using the provided values (8, 10) and (9, 12) in order to determine the rule that connects x and y. One approach is as follows:

The slope of the line connecting the two locations can be determined first:

m = (y2 - y1)/(x2 - x1) = (12 - 10)/(9 - 8) = 2/1 = 2

The point-slope version of the equation of a line can then be used, using either of the two points:

y - y1 = m(x - x1)

For example, using the first point (8, 10):

y - 10 = 2(x - 8)

Simplifying:

y - 10 = 2x - 16

y = 2x - 6

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Answer:

Using the distributive property, we can multiply -5m by each term inside the parentheses:

-5m(-2m + m^2 - 4m^3 + 9) = (-5m)(-2m) + (-5m)(m^2) + (-5m)(-4m^3) + (-5m)(9)

Simplifying each term:

= 10m^2 - 5m^3 + 20m^4 - 45m

The terms are arranged in descending powers of m, so this is already in standard form. Therefore, the final answer is:

20m^4 - 5m^3 + 10m^2 - 45m.

Answer:

question where is the question?

The values of x such that f(x) = x + 2 and g(x) = 2^x + 1 if f(x = g(x) are x =0 and x = 1

Given that

f(x) = x + 2

g(x) = 2^x + 1

To find x when f(x) = g(x), we need to set the two expressions equal to each other and solve for x:

f(x) = g(x)

x + 2 = 2^x + 1

Subtracting 1 from both sides:

x + 1 = 2^x

We can solve for x by using trial and error or by using numerical methods.

One solution to this equation is x = 1.

To see why, we can plug x = 1 into both sides of the equation:

x + 1 = 2^x

1 + 1 = 2^1

2 = 2

Another solution is x = 0

0 + 1 = 2^0

0 + 1 = 1

1 = 1

Hence, the solutions are x = 0 and x = 1

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Answer:

hope its right

Step-by-step explanation:

Answer:

1.5

Step-by-step explanation:

-18/3 = -6

-6/-4 = 3/2 or 1.5

Answer: 24

Step-by-step explanation:

Answer:

3, -3

sincerely, answered by luhvlii ♡ :: as an A+ student, I want to make sure other students can succeed as well, so in my free time: i answer questions like yours on Brainly! if you could click the thanks heart, give me brainliest by clicking the crown, and rate my answer 5 stars, it would be appreciated! have a luhvlii day (ᵔᴥᵔ)

As given:

The side of the Square= (2x+

As we know:

The area of a square = Side × side

Putting the values of side in above formula we get:

 Area = (2x+4) ×(2x+4)

on solving we get:

Area= 2x×2x + 2x×4 +4×2x + 4×4

Area= 4x^2 + 8x + 8x + 16

Area= 4x^2 + 16x + 16

Hence,The Area of the Square is (4x^2+ 16x +16)

Using proportions we can find,

6. The weight of the adult bear = 750 pounds.

7. The measure of each angles are: 10°, 75° and 95°

In general, the term "proportion" refers to a part, share, or amount that is compared to a whole.

According to the definition of proportion, two ratios are in proportion when they are equal. Two ratios or fractions are equal when an equation or a declaration to that effect is utilized.

Here in the question,

The weight is in the ratio = 3:1000

The average birth weight = 12 ounces = 3/4 pounds.

Now the weigh of adult bear = 1000 × 3/4 = 750 pounds.

In the second part the angles are in the ratio, 2:15:19.

So, 2x+ 15x + 19x = 180

x = 180/36

x = 5

Hence, the measure of each angles are: 10°, 75° and 95°

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Answer:

4

Step-by-step explanation:

To solve for the missing value in 23 x _ = 23 x 4, you can use the property of equality to divide both sides by 23. This will give you _ = 4.  Therefore the missing value will be 4.

Hope this helped :)

Answer: the answer is 4

Step-by-step explanation: u can divide both sides with 23 and that leaves u with x=4

ƒ(z) is a nοn-cοnstant pοlynοmial if lim_|z|-->00 |ƒ(z)| = ∞ fοr an entire functiοn ƒ(z).

If ƒ is an entire functiοn such that lim_|z|-->00 |ƒ (z)| = ∞, then we can cοnclude that ƒ(z) is a nοn-cοnstant pοlynοmial.

Tο see why this is true, we can use Liοuville's theοrem, which states that every bοunded entire functiοn must be cοnstant. Since the limit οf |ƒ(z)| as |z| apprοaches infinity is infinity, we knοw that ƒ(z) is unbοunded, and thus nοt cοnstant.

Furthermοre, since ƒ(z) is nοt cοnstant, it must have a finite number οf zerοs, each οf which has finite οrder (since ƒ(z) is entire). This implies that ƒ(z) can be written as a nοn-cοnstant pοlynοmial with finitely many terms, each οf finite degree.

In summary, if lim_|z|-->00 |ƒ (z)| = ∞, then ƒ(z) is a nοn-cοnstant pοlynοmial with finitely many terms, each οf finite degree.

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Option A is correct. The circle graph  or pie chart have five parts as 5 ways of transportation labeled Subway 40%, bicycle 10%, car service 15%, bus 8%, and walk 27%

Let's create pie chart to show the parts of transportation, each transportation ways will be represented by their percent.

Total number of visitors from various transportation = 80 + 20 + 30 + 54 + 16 = 200

Percentage of ways of transportation for each type:

Subway: %

Bicycle: %

Car Service: %

Bus: %

Walk: %

So, the correct pie chart of different ways of transportation will have five parts named as Subway 40%, bicycle 10%, car service 15%, bus 8%, and walk 27%.

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Answer:

0 (-72522)

Step-by-step explanation:

ahora tienes negativo manzanas

The solutions to the quadratic equations are as follows

4a. The rocket was launched from an initial height of 10 meters.

b. The maximum height of the rocket was 55 meters.

c. The rocket reaches its maximum height at 3 seconds

d. the rocket is in the air for t = 6.316 seconds

5. when the horizontal distance is 1 foot, the height of the balloon is 8.875 feet

b. when the horizontal distance is 33 feet, the height of the balloon is 0.875 feet.

The function is a quadratic equation, and here is how we solve each problem;

a. The initial height of the rocket is the value of h when t=0. So we substitute t=0 into the equation to find:

h = -5(0)² + 30(0) + 10 = 10 meters

b. & c. The maximum height of a projectile launched upward occurs at the vertex of the parabola represented by the quadratic function. For a quadratic function in the form y = ax² + bx + c, the time at which the maximum (or minimum) occurs is -b/2a. In this case, a = -5 and b = 30. So:

t = -b/2a = -30 / (2×-5) = 3 seconds

So, the rocket reaches its maximum height at t=3 seconds. We can find this maximum height by substituting t=3 into the equation:

h = -5(3)² + 30(3) + 10 = -5×9 + 90 + 10 = 45 meters

The rocket is in the air from the time it was launched until it hits the ground. The time when it hits the ground is when h = 0. So we can set the equation to 0 and solve for t:

0 = -5t² + 30t + 10

This is a quadratic equation and can be solved using the quadratic formula: t = [-b ± √(b² - 4ac)] / (2a)

Let's calculate the roots:

t = [-30 ± √((30)² - 4×-5×10)] / (2×-5)

= [-30 ± √(900 + 200)] / -10

= [-30 ± √(1100)] / -10

= 6.316 or -0.32

5. a. To find the height of the balloon when d=1, we substitute d=1 into the equation:

h = -1/8(1)²+ 4(1) + 5 = -1/8 + 4 + 5 = 8.875 feet

b. To determine whether the balloon hits your enemy, we need to see if the balloon's height (h) is above ground level (h > 0) when d=33. So, we substitute d=33 into the equation:

h = -1/8(33)² + 4(33) + 5

h = -1/8×1089 + 132 + 5

h = -136.125 + 132 + 5

h = 0.875 feet

when the horizontal distance is 33 feet, the height of the balloon is 0.875 feet. This means the balloon is above ground level and therefore would indeed hit your nemesis standing 33 feet away.

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Therefore , the solution of the given problem of unitary method comes out to be the pantry has 16 quarts of ice cream.

The goal can be achieved by making use of what has expression learned to date, utilizing this global access, and incorporating all crucial elements from previous changeable study that employed a specific technique. It is going to be equation possible to get in touch with the entity again if the expected claim result actually happens, or both crucial processes will surely miss the statement. A Rs ($1.21) redeemable fee may be needed for fifty pens.

Here,

Finding the overall quantity of cake in the kitchen is a good place to start. If there are 10 pastries, each measuring 1/4 inch, then there will be:

=> 10 desserts divided by 1/4 each equals the total cake.

=> Cake total equals 10/4 cakes.

=>  2.5 pastries altogether

=>  1 3/5 pints of ice cream for every 1/4 cake.

=>  8 and a half pints of ice cream per 1/4 cake

To determine the total amount of ice cream, we can multiply the ice cream per cake by the total number of cakes:

=>  Total ice cream equals the sum of the cakes' ice cream.

=>  Total ice cream =  (8/5 quarts per 1/4 cake) * (10/4 cakes)

=> Total ice cream = 16 quarts

Consequently, the pantry has 16 quarts of ice cream.

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