What is an example of a quadrilateral?

The calculated key features of the quadratic functions 1 to 6 are listed below

Function 1: y = 1/2(x + 4)(x - 2)

Expand

y = x^2/2 + x - 4

From the function, we have

a = 1/2 (coefficient of x^2 term)

p = -b/2a (x-coordinate of the vertex)

p = -(1)/2(1/2)

p = -1

q = f(p) (y-coordinate of the vertex)

q = 1/2(1 + 4)(1 - 2)

q = -5/2

From the function, we have

x-intercepts = (-4, 0) and (2, 0)

This also means that the axis of symmetry is

x = -1

The quadratic function opens up because the coefficient of the x^2 term is positive.

Next, we have

Vertex = (-1, -5/2)

For the y-intercept, we have

y-intercept = f(0)

y-intercept = 1/2(0 + 4)(0 - 2)

y-intercept = -4

Slope to a point one unit from the vertex can be found by taking the derivative of the function:

f(x) = x^2/2 + x - 4

f'(x) = x + 1

At x = -2 (one unit to the left of the vertex), the slope is -1

i.e. f'(-2) = -2 + 1 = -1

At x = 0 (one unit to the right of the vertex), the slope is 1.

i.e. f'(0) = 0 + 1 = 1

When the above steps is repeated for the remaining functions, we have the following results:

Function 2: y = 1/2x(x - 8)

The features are:

Function 3: y = (x + 2)(x - 2)

The features are:

Function 4: y = -1/3(x + 1)(x - 5)

The features are:

Function 5: y = 4(x + 2)(x + 1)

The features are:

Function 6: y = -(x - 3)(x - 3)

The features are:

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Answer: 9/20

Step-by-step explanation:

45%=

45 * 100%/100=

45 * 1/100=

45/100=

4.5/10=9/20

Based on the information given, we can conclude that RM = 2, but we cannot determine the lengths of the other sides of the quadrilaterals without further information.

Given that quadrilateral YFGT can be mapped onto quadrilateral MKNR by a translation, we can use the information to determine the length of RM.

A translation is a transformation that moves every point of a figure by the same distance and in the same direction. In this case, the translation is such that the corresponding sides of the quadrilaterals are parallel.

Since TY = 2, and the translation moves every point by the same distance, we can conclude that the distance between the corresponding points R and M is also 2 units.

Therefore, RM = 2.

By the properties of a translation, corresponding sides of the two quadrilaterals are congruent. Hence, side YG of quadrilateral YFGT is congruent to side MK of quadrilateral MKNR, and side GT is congruent to NR. However, the given information does not provide any additional details or measurements to determine the lengths of these sides.

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Answer:

We cannot agree with Andre because x = 3.

Step-by-step explanation:

Assuming the diagram is a weighing scale which can also be represented as an equation having two sides that is balanced. We can express the situation as follows using equation:

x + 2 = 5

Solve for x

x + 2 - 2 = 5 - 2 (subtraction property of equality)

x = 3

If you plug in the value of x on the diagram given, the scale becomes balance on each side.

Therefore, x = 3. Andre is wrong and we cannot agree with Andre.

Answer:

600

Step-by-step explanation:

The original principal was RM 200 when rate of interest was 5% p.a. for 180 days amounted to RM205.

What is Simple interest?

Simple interest is a quick and simple formula for figuring out how much interest will be charged on a loan. The daily interest rate, the principle, and the number of days between payments are multiplied to calculate simple interest.

Although some mortgages employ this calculation approach, this kind of interest typically relates to auto loans or short-term loans.

Given, time period = 180 days.

Time ( T) in years = 180/365 year

Amount (A) = RM 205

Rate of interest (R) = 5% p.a. = 0.05

The formula to calculate amount (A) with respect to principal (P) is:

A = P(1+RT)

⇒ 205 = P(1 + 0.05*180/365)

⇒ 205 = P(1.025)

⇒ P = 205/1.025

⇒ P = 200

Hence, principal comes out as RM200.

The original principal was RM 200 when rate of interest was 5% p.a. for 180 days amounted to RM205.

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Using Simple Interest, The original principal was RM 200 when rate of interest was 5% p.a. for 180 days amounted to RM205.

Simple interest is a quick and simple formula for figuring out how much interest will be charged on a loan. The daily interest rate, the principle, and the number of days between payments are multiplied to calculate simple interest.

Although some mortgages employ this calculation approach, this kind of interest typically relates to auto loans or short-term loans.

Given, time period = 180 days.

Time ( T) in years = 180/365 year

Amount (A) = RM 205

Rate of interest (R) = 5% p.a. = 0.05

The formula to calculate amount (A) with respect to principal (P) is:

A = P(1+RT)

⇒ 205 = P(1 + 0.05*180/365)

⇒ 205 = P(1.025)

⇒ P = 205/1.025

⇒ P = 200

Hence, principal comes out as RM200.

The original principal was RM 200 when rate of interest was 5% p.a. for 180 days amounted to RM205.

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Answer:

C

Step-by-step explanation:

Since C is the largest half, then C is part of the largest whole.

Answer: C

Triangle ABC and ADE are similar triangles

Similar triangles have the same corresponding angle measures and proportional side lengths.

This means that for two triangles to be similar, the corresponding angles must be equal and the ratio of corresponding sides of similar triangles are equal.

It has been shown that angles in ABC and ADE are equal.

To show that the ratio of corresponding sides are equal

6/12 = 8/16 = 10/20

The ratios all give a value of 1/2

Therefore we can say that the triangles ABC and ADE are similar.

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Answer:

A =8.75 ft^2

Step-by-step explanation:

The area of the triangle is

A = 1/2 bh  where b is the base and h is the height

A = 1/2 ( 7 * 2.5)

A =8.75 ft^2

Answer:

Yes

Step-by-step explanation:

if it's a less than or equal to it goes from the left to the right and has a full dot

Answer:

97

Step-by-step explanation:

48 ( 2 )

= 48 x 2

= 96

48 ( 2 ) + 1

= 96 + 1

= 97

Answer:

97

Step-by-step explanation:

Given the following question:

\(48(2)+1\)

In order to find the answer, we apply the rule where 48(2) = 48 × 2

\(48(2)+1\)
\(48(2)=48\times2\)
\(48\times2=96\)
\(96+1\)
\(96+1=97\)
\(=97\)

Hope this helps.

The statement about the unit prices which is true is Kitty Kibbles has a lower unit price of $1.30/pound.

The correct answer choice is option D.

Cost of 16-pound bag of Kitty Kibbles = $20.80

Unit price of kitty kibbles = Price / number of pounds

= $20.80 / 16

= $1.30 per pound.

Cost of 8-pound bag of Feline flavor = $11.20

Unit price of feline flavor = Price / number of pounds

= $11.20 / 8

= $1.40 per pound

Ultimately, the unit price of kitty kibbles and feline flavor is $1.30 and $1.40 respectively.

Complete question:

A 16-pound bag of Kitty Kibbles is $20.80. An 8-pound bag of Feline Flavor is $11.20. Which statement about the unit prices is true?

A. Feline Flavor has a lower unit price of $1.40/pound.

B. Feline Flavor has a lower unit price of $1.30/pound.

C. Kitty Kibbles has a lower unit price of $1.40/pound.

D. Kitty Kibbles has a lower unit price of $1.30/pound.

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Answer:

first is T second is F

Step-by-step explanation:

The order of reactants A, B, and C is 1, 0, and 3, respectively.

a. The order of reaction of reactant A can be determined from the effect that changing its concentration has on the reaction rate.

If halving the concentration of A results in the reaction rate decreasing by a factor of 2, then the reaction rate is proportional to the concentration of A raised to some power. This power is the order of reaction with respect to A.

rate1 = k[A]^x

rate2 = k/2[A]^x/2

where rate1 is the original reaction rate, rate2 is the new reaction rate, k is the rate constant, and x is the order of reaction with respect to A.

Dividing the two equations, we get:

rate1/rate2 = (k[A]^x)/(k/2[A]^x/2) = 2

Solving for x,

x = 1

So, the order of reaction of reactant A is 1.

b. The order of reaction of reactant B can be determined in a similar manner. If doubling the concentration of B results in no change to the reaction rate, then the reaction rate is not proportional to the concentration of B raised to any power. This means that the order of reaction with respect to B is 0.

c. The order of reaction of reactant C can be determined in a similar manner. If tripling the concentration of C results in the reaction rate increasing by a factor of 9, then the reaction rate is proportional to the concentration of C raised to some power.

rate1 = k[C]^z

rate2 = k*3[C]^3z

where rate1 is the original reaction rate, rate2 is the new reaction rate, k is the rate constant, and z is the order of reaction with respect to C.

Dividing the two equations:

rate1/rate2 = (k[C]^z)/(k*3[C]^3z) = 1/9

Solving for z:

z = 3

So, the order of reaction of reactant C is 3.

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Answer:

Step-by-step explanation:

\(\frac{2}{5} : \frac{1}{15}\\\)

LCM of the denominator = LCM ( 5 , 15 ) = 15

∴ Now we have to multiply LCM by both the fractions , we get ,

\(\frac{2}{5}.15 : \frac{1}{15}.15\\ 6 : 1\)

Answer:

3

Step-by-step explanation:

um tell me more about the question

Answer:

Step-by-step explanation:

We can use the method of undetermined coefficients to solve this differential equation. First, we will need to find the solution to the homogeneous equation and the particular solution to the non-homogeneous equation.

For the homogeneous equation, we will use the form y"+ky=0, where k is a constant. We can find the solutions to this equation by letting y=e^mx,

y"=m^2e^mx -> (m^2)e^mx+k*e^mx=0, therefore (m^2+k)e^mx=0

(m^2+k) should equal 0 for the equation to have a non-trivial solution. Therefore, m=±i√(k), and the general solution to the homogenous equation is y=A*e^i√(k)x+Be^-i√(k)*x.

Now, we need to find the particular solution to the non-homogeneous equation. We can use the method of undetermined coefficients to find the particular solution. We will let yp=a0+a1x+a2x^2+.... As the derivative of a sum of functions is the sum of the derivatives, we get

yp″=a1+2a2x....yp‴=2a2+3a3x+....

Substituting the general solution into the non-homogeneous equation, we get

a0+a1x+a2x^2+...+2a2x+3a3x^2+...=Y(4)

So, the coefficient of each term in the expansion of the left hand side should equal the coefficient of each term in the expansion of the right hand side. Since there is only one term on the right hand side, we get the recurrence relation:

a(n+1)=Y(n-2)/n^2

From this relation, we can find all the coefficients in the expansion for the particular solution. Using this particular solution, we can find the total solution to the differential equation as the sum of the homogeneous solution and the particular solution.

The reference angle for the angle with the measure 2x/3 is 54⁰

You should understand that a reference angle is the acute angle to a given angle.

The given angle is 2x/3

We should understand that since the angle has the variable x

= x + 2x/3 = 90⁰

Simplifying the fraction to have

(3x+2x)/3 = 90

Cross and multiply we have 5x=270⁰

Making x the subject

x= 270/5

x=54⁰

Therefore, the reference angle with the measure 2x/3 is = 54⁰

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Answer:

-7/3

Step-by-step explanation:

Rise/Run = -4-3/1--2

= -7/3

Finn would run 18 miles after 6 track practices.

We have,

Generally, A unit rate is a ratio of two measurements with a denominator of 1. To find the number of miles Finn would run after 6 track practices, we can use the unit rate of miles per practice to multiply by the number of practices.

Unit rate: 6 miles / 2 practices = 3 miles per practice

To find the total number of miles Finn would run after 6 practices, we can multiply the unit rate of 3 miles per practice by the number of practices, 6.

Total miles: 3 miles/practice * 6 practices = 18 miles

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Answer:

Your answer is

1/2 <x<8

as per triangular rules

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The solution of the given expression is (-x-9i)(x-9i). The correct option is D.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the expression is -x² -81. The expression will be simplified as below,

E = -x² -81

E = -x² - 9²

E = - ( x + 9i) (x-9i)

E = (-x - 9i)( x -9i )

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The euqaion of a quadratic function is given by:

we need to find the values of the constants a, b and c. To do this we use the points given and plug the values of x and y in the equation above.

For the point (-2,0) we have that x=-2 and y=0; then we have:

For the point (1,0) x=1 and y=0 then we have the equation:

Finally for the point (0,2) x=0 and y=2 then we have the equation:

Hence we have the system of equations:

Now to solve this sytem we plug the value of c given by the third equation into the first and second equations to get:

To solve this new system we multiply the second equation by 2:

we add the equations:

Now we solve for a:

hence a=-1.

Finally to get b we plug the values of a and c in the first of our originals equations:

and solve for b:

Hence b=-1.

Now that we have the values of the constant we have that the equation is:

Answer:

each apple would cost $4,28

The cost of each bag of apples is 4.28 dollars.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

We have been given that Meena buys cookies and apples at the store.

Meena pays a total amount of $24.02.

She pays a total amount of $6.90 for the cookies.

She buys 4 bags of apples which each cost the same amount.

The total cost of apples = 24.02 - 6.90

= 17.12

Therefore, each bag of apples cost = 17.12/ 4 = 4.28

Hence, the cost of each bag of apples is 4.28 dollars.

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According to the quantity theory of money, changes in the money supply will lead directly to changes in the price level if velocity and real GDP are unaffected by the change in the money supply.Velocity can change over time, and changes in velocity may be caused by various factors.

For example, changes in velocity can be caused by shifts in payment practices, changes in the use of credit, changes in the availability of bank deposits or cash, or shifts in demand patterns.Changes in velocity may be related to changes in the money supply.

For example, if the money supply increases, the demand for money may increase, causing the velocity of money to decrease. Conversely, if the money supply decreases, the demand for money may decrease, causing the velocity of money to increase.

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If the total height between two floors is 9'0 1/2" and 14 risers are to be used in a set of stairs, the height of each riser would be approximately 7.75 inches.

To find the height of each riser in a set of stairs given the total height between two floors, we need to divide the total height by the number of risers.

First, let's convert the total height to a consistent unit. The distance between two floors is given as 9'0 1/2". We can convert this to inches by multiplying the feet by 12 and adding the remaining inches:

9 feet = 9 * 12 = 108 inches

0 1/2 inch = 0.5 inch

Total height = 108 + 0.5 = 108.5 inches

Next, we divide the total height by the number of risers (14) to find the height of each riser:

Height of each riser = Total height / Number of risers

Height of each riser = 108.5 inches / 14

Using a calculator, we can compute:

Height of each riser ≈ 7.75 inches

Therefore, the height of each riser in the set of stairs would be approximately 7.75 inches.

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Answer:

The difference between the vertical intercept is a ratio of 20$ so the difference in intercepts is about 2.50$ or 20 spaces.

Hope this helps