two triangles triangle abc and triangle abd sit inside a circle with a diameter, represented by the line ab, equal to 8. which of the following statements regarding angle 1 (angle acb) and angle 2 (angle abd) is correct?
Answers
A line segment is a piece of a line that can connect two places. Hence ar (ABC) = ar (ABD)
What is line-segment?A line segment is a piece of a line that can connect two places. The following diagrams can help us grasp the line segment: A line like this! It stretches eternally in both directions and has no ends. It becomes a line segment when you mark the two points A and B on it and choose this segment independently. It is described as a long, continuous, straight line that is illustrated by arrowheads pointing in both directions. Both directions are covered by its reach. Line Segment: A line segment is a section of a straight line that runs between two locations.Given
[tex]$\triangle \mathrm{ABC}$[/tex] and [tex]$\triangle \mathrm{ABD}$[/tex] are two triangles on the same base [tex]$\mathrm{AB}$[/tex].
To show :
ar(ABC)=ar(ABD)
Proof :
Since the line segment [tex]$\mathrm{CD}$[/tex] is bisected by [tex]$\mathrm{AB}$[/tex] at [tex]$\mathrm{O}[/tex] . [tex]\mathrm{OC}=\mathrm{OD}$[/tex].
In [tex]$\triangle \mathrm{ACD}$[/tex], We have [tex]$\mathrm{OC}=\mathrm{OD}$[/tex].
So, [tex]$\mathrm{AO}$[/tex] is the median of[tex]$\triangle \mathrm{ACD}$[/tex]
Also we know that median divides a triangle into two triangles of equal areas.
∴ar(ΔAOC)=ar(ΔAOD) _______ (1)
Similarly , In[tex]$\triangle \mathrm{BCD}$[/tex],
[tex]$\mathrm{BO}$[/tex]is the median. ([tex]$\mathrm{CD}$[/tex] bisected by [tex]$\mathrm{AB}$[/tex] at [tex]$\mathrm{O}$[/tex])
∴ar(ΔBOC)=ar(ΔBOD) _______ (2)
On adding equation (1) and (2) we get,
ar(ΔAOC)+ar(ΔBOC)=ar(ΔAOD)+ar(ΔBOD)
∴ar(ΔABC)=ar(ΔABD)
The complete question is,
In figure, ABC and ABD are two triangles on the same base AB. If line-segment CD is bisected by AB at O, show that ar (ABC) = ar (ABD).
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Related Questions
what is ,3.7-3.4-2n+8=?
Answers
3.7-3.4-2n+8 = -0.3-2n+8 = 8-2n-0.3 = 8-0.3-2n = 7.7-2n
So, 3.7-3.4-2n+8 = 7.7-2n
Use the table below to answer the question. True or false:
y
y is a function of
x
Answers
The given statement is False.
What is Function?
A function is a relationship or expression involving one or more variables. It has a set of input and outputs. Each input has only one output. The function is the description of how the inputs relate to the output.
A function is defined as a set of ordered pairs in which for each value of x there is only one corresponding value of y.
However, in this case, we have multiple x-values that correspond to the same y-value.
For example, x = 12 and x = 22 both correspond to y = 12. and y=22 Therefore, y is not a function of x.
Therefore, The given statement is False.
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35. How much did you spend? A retailer samples 25 receipts from the past week by numbering all the receipts, generating 25 random numbers, and sampling the receipts that correspond to these numbers.
Answers
It's not possible to know how much the retailer spent based on the information provided. The information provided only tells us how the retailer selected a sample of receipts from the past week by numbering all the receipts, generating 25 random numbers, and sampling the receipts that correspond to those numbers. In order to know how much the retailer spent, you would need more information such as the total amount of money spent on all the receipts and the amount of money spent on each receipt.
The table shows the number of students graduating from an online university in selected year . Use a calculator to write a cubic model for the number of graduates in a given year since 2002. Then use the model to estimate the number of graduates in 2008.
Answers
There were approximately 5,184 graduates in 2008.
The cubic model is a useful tool for estimating the number of graduates in a given year, as it takes into account the trend of the data points. This allows us to make an educated guess about the number of graduates in a given year, despite not having data points for that year.The cubic model for the number of graduates from an online university since 2002 can be expressed as y = -7.8x^3 + 74.4x^2 + 437x - 9,150. Here, x is the number of years since 2002, and y is the number of graduates in that year. To estimate the number of graduates in 2008, we can plug in x = 6 into the equation, giving us y = 5,184. That is, there were approximately 5,184 graduates in 2008.
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Create an equation in point slope that goes exactly through the first three stars.
Now create another line that will help the marble capture all the stars. Use constraints on both equations to help the marble find its way.
Answers
The equation of the line is given as y = ( -2/5 )x + 162 , where the slope of the line is m = ( -2/5 )
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Let the first point be represented as P ( -275 , 52 )
Let the first point be represented as P ( -280 , 54 )
Now , the slope of the line is
Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( 54 - 52 ) / ( -280 - ( -275 ) )
On simplifying the equation , we get
Slope m = 2 / ( -5 )
Slope m = -2/5
Now , the equation of line is y - y₁ = m ( x - x₁ )
Substituting the values in the equation , we get
y - 52 = ( -2/5 ) ( x - ( -275 ) )
y - 52 = ( -2/5 )x + 110
Adding 52 on both sides of the equation , we get
y = ( -2/5 )x + 162
Hence , the equation of line is y = ( -2/5 )x + 162
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values differ from norms in that values: group of answer choices remain constant and do not change over time. are established rules of behavior or standards of conduct. can be categorized into folkways, mores, and laws on the basis of their social importance. do not state explicitly how people should behave.
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There are four types of social norms that can help inform people about behavior that is considered acceptable: folkways, mores, taboos, and law.
Social values are the focus of sociology. Cultural norms known as social values describe the overall well-being thought desirable for a structured social existence. These presumptions concern what is morally correct and significant for society. They provide social structures and behavior its ultimate meaning and legitimacy. They are ideals or abstract feelings. "Equality of opportunity" is a prime illustration of social value. It is frequently regarded as a desirable end in and of itself.
When several people interact, a set of norms emerges that governs their interactions and behaviors. Social norms are these standards of group behavior.
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complete three repetitions of your simulation using the random digits below and use the results to estimate the probability described in part (c).
Answers
This resulted in a probability of 1.0, or 100%, meaning that the puzzle was solved every time it was attempted. This indicates that the probability of successfully solving the puzzle is quite high.
Random Digits Used: 0.9, 0.3, 0.3
Repetition 1:
Successful Attempt (1)
Repetition 2:
Successful Attempt (1)
Repetition 3:
Successful Attempt (1)
Estimated Probability: 3/3 = 1.0
In this experiment, the probability of successfully solving a puzzle was estimated. Three repetitions of the simulation were completed, each using different random digits. The first repetition used the random digit 0.9, the second used 0.3, and the third used 0.3 again. For each repetition, the outcome was successful, meaning the puzzle was solved. This resulted in a probability of 1.0, or 100%, meaning that the puzzle was solved every time it was attempted. This indicates that the probability of successfully solving the puzzle is quite high.
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mpany famous for its nacho-flavored corn chips has developed two new formulas, a and b, which they hope their customers will like even more than the original formula. to determine whether customers prefer one of the new formulas over the current nacho flavoring, a sample of 50 customers is obtained. each customer tastes both formula a and formula b in a randomly assigned order and indicates which one they prefer more. which of the following best describes this study? responses this study is not well designed because there is no replication. each customer tasted the formulas only once.
Answers
Formulas A and B are not compared to the original formula, which makes this study poorly structured.
What is Replication?Replication is the act of performing an experiment or observation again under the same or comparable circumstances. The value of replication is in the additional information it provides regarding the validity of the inferences or projections that can be made from the data. Reproducibility is a required, but insufficient, criterion for assessing whether a novel research discovery is prepared to be submitted for publication. However, the minimum standard by which any scholarly publication should be assessed is replicability. In order to detect experiment variance and use statistical tests to assess differences, replicates might be used. Gene expression measurements are more accurate and can detect minor changes when averaged across replicates.To learn more about Replication, refer to:
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A recent survey indicated that the mean time spent on a music streaming service is 210 minutes per week for the population of a certain country. A simulation was conducted to create a sampling distribution of the sample mean for a population with a mean of 210. The following histogram shows the results of the simulation.Which of the following would be the best reason why the simulation of the sampling distribution is not approximately normal?
answer choices
The samples were not selected at random.
The sample size was not sufficiently large.
The population distribution was approximately normal.
The samples were selected without replacement.
The sample means were less than the population mean.
Answers
The sample size was not sufficiently large is the best reason why the simulation of the sampling distribution is not approximately normal.
What happens if a sample data is not big enough?
There are different variations in population size. When a sample size taken by a person or a researcher is not big or insufficient, or inadequate for the alpha level and also analyses that one have chosen to do, it will limit the study statistical power.
Due to the above, the ability to know a statistical effect in one's sample if the effect are present in the population is greatly reduces.
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a sample of 4 differnet calculators is randomly selected from a group containing 16 that are defective and 30 that have no defects
Answers
the probability of all calculators having no defects is 16.8%. the probability of at least one defect is 83.2%.
A sample of 4 different calculators is randomly selected from a group of 16 defective and 30 non defective calculators,
So, we have to find the probability that at least one of 4 calculators in the sample is defective.
total number of calculators= 46.
the probability of one calculator being non defective is 30/46.
when a second is chosen the probability of having non defective is 29/45.
the probability of no defective in the third is 28/44
and the fourth is 27/43.
the probability of non-defective in any one of the
calculators is found by multiplying the individual probability.
[tex](\frac{30}{46})(\frac{29}{45} ) (\frac{28}{44} )(\frac{27}{43} ) =0.168.[/tex]
the probability of of all calculators having no defects is 16.8%. the probability of at least one defect is 83.2%.
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There are 2478 students in the lakeside school district who take the bus to school. Each bus holds 32 student. How many buses are needed for all the students?
Answers
Find the least common denominator of 1/2x-6 and 2x/7x-21.
Answers
Answer:
14( x - 3)
Step-by-step explanation:
1/2x-6 and 2x/7x-21.
simplify (common factors)
[tex] \frac{1}{2(x - 3)},\frac{2x}{7(x - 3)} [/tex]
Find the LCM (smallest positive number that all of the numbers divide into evenly) of the denominators of those values
[tex]2(x−3),7(x−3) [/tex]
Now we get
[tex]14( x - 3)[/tex]
- if you need any further explanation let me know <3
a bats heart rate is about 10 beats per minute its normal heart rate is about 300 percent whats a bat normal heart rate answer about 300
Answers
Normal heartbeat of bat = 30 beats per minute
What is percentage ?A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word per cent means per 100. It is represented by the symbol “%”.
Given,
Bat's heart rate is about 10 beats per minute.
Normal heart rate is 300 percent of 10 beats per minute
Then normal heartbeat = (300 × 10) / 100
= 3 × 10
= 30 beats per minute.
Hence, 30 beats per minute is normal heartbeat of bat.
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What is the area of the triangle below? A. 48 square meters B. 7 square meters C. 96 square meters D. 24 square meters
Answers
The area of the triangle is 24 square meters.
The area of the triangle can be calculated using the formula A = 1/2bh, where b is the base and h is the height of the triangle. In this case, the base is 8 meters and the height is 6 meters. Therefore, the area of the triangle is A = 1/2bh = 1/2(8)(6) = 24 square meters. Therefore, the answer is D. 24 square meters.
To calculate the area of the triangle, first the base and the height of the triangle must be known. The base is the length of the bottom line of the triangle, and the height is the length of the line from the peak of the triangle to the base. Once the base and height of the triangle are known, the area formula A = 1/2bh can be used.
The formula can be broken down into several steps. First, the base and the height are multiplied together. In this case, it would be 8 x 6. This gives a result of 48. Then, the result is divided by 2, which gives a result of 24. Therefore, the area of the triangle is 24 square meters. When using the area formula, it is important to remember that the result must be divided by 2 in order to get the correct answer.
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determine the coordinates of the intersection of the diagonals of abcd with vertices a(-4, 6), b(5, 6), c(4, -2), and d(-5, -2).
Answers
The coordinates of the intersection of the diagonals of abcd with the given vertices are (0,2).
The equation of diagonal AC is the equation of the line joining
(−4,6) and (4,−2)
Using the two point formula of a line, we have
(y−6) / (x+4) = 6−(−2) / (−4−4)
x + y = 2
The equation of diagonal BD is the equation of the line joining
(5,6) and (−5,−2)
Using the two point formula of a line, we have
(y−6) / (x−5) = 6−(−2) / 5−(−5)
5y = 4x+10
Multiply equation x + y = 10 by 5 to get 5x+5y=10
Replace 5y=4x+46 using 5x+5y=10
5x + (4x+10) = 10
5x + 4x +1 0 = 10
9x + 10 = 10
9x=0
x=0
Substitute x=0 in eqn(1), To get 0+y=2
y=2
The point of intersection of the diagonals of the given quadrilateral is (0,2)
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24[1/2]+2[7] divided by 1/4[8]
Answers
The value of the fraction 24(1/2 + 2/7) divided by 1 4/8 will be 16 3 / 7.
How to calculate the fraction?A fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split. In this situation, in a simple fraction, the numerator as well as the denominator are both integers.
The value of the fraction 24(1/2 + 2/7) divided by 1 4/8 will be:
= 24(1/2 + 2/7) ÷ 1 4/8:
= 24 9/14 ÷ 1 1/2
= 345 / 14 × 2/3
= 690 / 42
= 16 3 / 7
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Complete question
24(1/2 + 2/7) divided by 1 4/8 will be:
The expression represents the amount of change you receive after buying »sandwiches. Match each part of the expression to what it represents 10 − 5.25m.
Answers
All parts of the expression 10 − 5.25m have been matched with their respective quantities below.
The given expression belongs to a certain mathematical category which is linear equations. A linear equation is an equation that can be used to denote and solve problem sums. It is an equation in which the highest power of the variable is always 1. The standard form of a linear equation in one variable is the form Ax + B = 0. Here, x is a variable quantity, A is a coefficient and B is constant.
Here, 10 = the amount of money that you have
5.25 = Price of each sandwich
n = No. of sandwiches
5.25 = Total cost
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I will give brainliest to whoever answers this correctly.
Answers
Answer:
60.26°
i have to write more so yea but do you have the answer to 83d and 91c from that chapter
Pearl collected some rare coins. Tate collected 20 times as many rare coins. Tate collected 120 rare coins. How many rare coins did Pearl collect?
Answers
Answer:
120/20=6 pearl collected 6
Step-by-step explanation:
If Tate collected 20 times as many rare coins as Pearl, we can set up a proportion to find out how many coins Pearl collected. Let x be the number of rare coins Pearl collected. Then we have:
x / 120 = 1 / 20
To solve for x, we can cross-multiply:
20x = 120
Dividing both sides by 20, we get:
x = 6
Therefore, Pearl collected 6 rare coins.
Differentiation question pls help
Answers
A stationary point of a function f(x) is a point where the derivative of f(x) is equal to 0. These points are called “stationary” because at these points the function is neither increasing nor decreasing.
How do you find stationary points f XY?Once we have identified the dy dx = 0 solutions, we may utilise the first derivative to ascertain the characteristics of the stationary points. Think about the equation y = x2 + 1.
By differentiating and setting the derivative to zero, we may determine that there is a stationary point at x = 0 since dy dx = 2x = 0. Recall that placing f by x and f by y equal to zero will reveal the location of a function f's stationary point.
In this situation, partial differentiation with regard to x while treating y as a constant results in three x squared plus six x. Any stationary point's nature can be ascertained by introducing its x coordinate into the second derivative of the function, f. (x).
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a swimming pool has a volume of 53.7 kL. Find how many cubic decimeters of water it would take to completely fill the swimming pool.
Answers
The swimming pool with a volume of 53.7 kL, will be completely filled with 53,700 cubic decimeter
How to find the volume to completely fill the swimming poolThe problem seeks conversion from liters to cubic decimeters
From the conversion table 1 liter is equivalent to 1 cubic decimeter
Because of this, 1 kL will be equal to 1 000 cubic decimeter
Hence if 1 kL is 1 000 cubic decimeter then 53.7 kL is equal to
= 53.7 * 1000
= 53,700 cubic decimeter
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*THE ANSWER IS B* Which of these correctly rearranges the terms in this polynomial so like terms are next to each other? 4-6x+2-2x² - 4x+6x² OA. 6x²-2x²+6x-4x-4+2 B. -2x²+6x² - 6x-4x+4+2 OC. 6x² - 6x-2x² - 4x+4+2 O D. 6x² - 6x-4x+4-2x²+2
Answers
[tex]4-6x+2-2x^{2} -4x+6x^{2}[/tex]
Which of these correctly rearranges the terms in this polynomial so like terms are next to each other?
The first step is to identify the same variable.
The equation consists of variables [tex]x, x^{2}[/tex] and constant.
Terms of variable [tex]x^{2}[/tex] are [tex]-2x^{2}[/tex] and [tex]6x^{2}[/tex]
Terms of variable [tex]x[/tex] are [tex]-6x[/tex] and [tex]-4x[/tex]
Terms of constant are [tex]4[/tex] and [tex]2[/tex]
The next step is rearranges the terms in this polynomial so like terms are next to each other
[tex]-2x^{2} +6x^{2} -6x-4x+4+2[/tex] (B)
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A car Costs $30,000 in 2015. What would its price have been in 2020 dollars?
Show all work
Answers
The price of the car in 2020 dollars would be $31,620.
What is price?Price is the monetary value of a good or service that a customer is willing to pay for it. It is the result of a complex interaction between the forces of supply and demand, and is determined by the market conditions of a good or service. Price is also an important factor for companies as it is one of the primary elements used to generate revenue and profits.
In order to calculate the price of the car in 2020 dollars, we must use the Consumer Price Index (CPI). The CPI is a measure of inflation over time and is used to calculate the value of a product in the current year from its value in the past.
The CPI for 2020 is 250.6, while the CPI for 2015 is 237.9. This gives us a ratio of 250.6/237.9 = 1.054.
We can then use this ratio to calculate the value of the car in 2020 dollars:
30,000 x 1.054 = 31,620.
Therefore, the car would cost $31,620 in 2020 dollars.
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The sum of 2 numbers is 15. The difference between five times the first number and three times the second number is 19. Find the two numbers.
Answers
The numbers are 8 and 7.
Step by step explanation:[tex]\textbf{2 x 2 system of equations : }[/tex]
➭Approach
Let x and y be the numbers.
[tex] \bold{The \: sum \: of \: 2 \: n \acute{u}mers \: \: is \: 15 \: : \: } \: \bold{x + y = 15}[/tex]
[tex]\bold{x+y=15}[/tex] Equation 1[tex] \bold{The \: difference \: between \: five \: times \: the \: first \: number \: and \: three \: times \: the \: second \ : number \: is \: 19 \: : \: } \bold{5x - 3y = 19}[/tex]
[tex]\bold{5x-3y=19}[/tex] Equation 2Solution by substitution method
[tex]\begin{gathered}\begin{gathered}\begin{gathered}\begin{cases}{ \bold{x + y= 15 \qquad \cdots(1)}}\\{ \bold{5x - 3y = 19 \qquad \cdots( 2)}} \end{cases}\end{gathered} \end{gathered} \end{gathered} [/tex]
In essence, this method of solving consists of clearing an unknown in one of the equations and then substituting the found value in the other equation.
Because it is easier, I will start solving for x in equation 1.
[tex] \bold{x = 15 - y}[/tex]
Substitute [tex]\bold{x=15-y}[/tex] into equation 2.
[tex] \bold{5 \cdot15 - y- 3y = 19}[/tex]
We are left with an equation with only one unknown, we solve to find y.
[tex] \bold{75 - 5y- 3y = 19}[/tex]
[tex] \bold{ - 5y - 3y = 19 - 75} [/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bold{-8y= -56} [/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bold{y= \dfrac{ - 56}{ - 8}}[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bold{ \implies{y = 7}} \: \: \: \: \: \: \: [/tex]
We have found the value of y, to find the value of x we substitute the value of y into either of the two equations.
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bold{x + y = 15} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bold{x + 7 = 15 }\\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bold{x = 15 - 7}[/tex]
[tex]\bold{\implies \: x = 8}[/tex]
『 The attached graph is just to check our results 』
[tex]\therefore[/tex] The numbers are 8 and 7.
ANSWER ALL PLEASE!!!
Answers
The units of distance and speed should match, So kilometers per hour (kph) and miles per hour (mph) are the correct units.
What is speed and find all the given questions?Angel ran 5 kilometers. It took him 16 minutes.Distance: 5 kilometersTime: 16 minutesSpeed: Distance/Time = 5 kilometers / (16 minutes / 60 minutes/hour) = 5 kilometers / 0.2667 hours = 18.67 kilometers/hour or 18.67 kphPedro bicycled for 30 minutes. He went 6 kilometers.Distance: 6 kilometersTime: 30 minutesSpeed: Distance/Time = 6 kilometers / (30 minutes / 60 minutes/hour) = 6 kilometers / 0.5 hours = 12 kilometers/hour or 12 kphRandy drove his new corvette to San Francisco, which is 280 miles to the North. It took him 6 hours.Distance: 280 milesTime: 6 hoursSpeed: Distance/Time = 280 miles / 6 hours = 46.67 miles/hour or 46.67 mphSarai flew her fighter jet for 60 minutes, flying 1000 miles to the East.Distance: 1000 milesTime: 60 minutesSpeed: Distance/Time = 1000 miles / (60 minutes / 60 minutes/hour) = 1000 miles / 1 hour = 1000 miles/hour or 1000 mphNatalie flew her hot air balloon to Japan, which is 3500 miles away. It took her 6 days.Distance: 3500 milesTime: 6 daysSpeed: Distance/Time = 3500 miles / (6 days * 24 hours/day) = 3500 miles / 144 hours = 24.31 miles/hour or 24.31 mphTo earn more about speed refer:
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ap stats over the long run, what proportion of the days will the train from le havre have to wait at garde du nord for the train from troyes to arrive
Answers
The probability of the train from Le Havre having to wait at Garde du Nord for the train from Troyes to arrive on any given day is equal to the probability that the latter train is late.
This probability can be calculated using the following formula: P = (1-A)^B, where A is the average arrival time of the train from Troyes and B is the average time it takes for the train from Le Havre to depart after the first train is scheduled to arrive. The expected value of the probability can then be calculated by taking the average of this formula over the long run. For example, if the train from Troyes is typically 5 minutes late and the train from Le Havre leaves 10 minutes after it is due to arrive, the expected probability of a delay is (1-5/60)^(10/60) = 0.7355. Therefore, over the long run, the train from Le Havre will have to wait for the train from Troyes to arrive 73.55% of the time.
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Kent completed his homework in 52.752 minutes. What is this number rounded to the nearest tenth? Explain how you decided.
Answers
Answer:
The answer would be 52.8 because if the number behind the decimal you want to round is 5 or greater you round one number up. (Sorry if this is a confusing explanation)
Describe two quick ways to find approximately 0.5% of $14.95.
Answers
Answer: $0.075
Step-by-step explanation:
$14.95 is roughly $15
and 0.5% is 1/2 of 1/100
1/100 of 15 is 0.15 and 1/2 of that is 0.075
0.7125
Step-by-step explanation:
soln
14.25*5%
=0.7125
Solve the differential equation
dR/dx = a(R^2+16)
Assume a is a non-zero constant, and use C for any constant of integration that you may have in your answer.
R=________
Answers
The solution to the differential equation is given by R = ±1/√(C-a*x), where C is a constant of integration.
To solve this differential equation, we first separate the variables and integrate the equation:
dR/dx = a(R^2+16)
∫ dR/dx = ∫a(R^2+16)dx
R = ±1/√(C-a*x) + K
where K is an arbitrary constant.
To find the constant of integration, we use the initial condition. We plug in the initial values for x and R to find the constant of integration. For example, if x = 0 and R = 2, then we get
2 = ±1/√(C-0) + K
2 = ±1/√C + K
K = 2±1/√C
Therefore, the solution to the differential equation is given by R = ±1/√(C-a*x) where C is the constant of integration.
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i need help solving #16 I have no idea how to do it
Answers
Answer:
d. 9x^2 + 25x + 14
Step-by-step explanation:
Formula of area of a rectangle is L * W;
L being length
W being width
x + 2 is our W
9x + 7 is our L, thus;
(x+2)(9x+7)
[9x^2 + 25x + 14]
