Find the missing length indicated.

Find The Missing Length Indicated.

Answers

Answer 1

Answer:

x = 15

Step-by-step explanation:

From the above diagram, we can see that the right angled triangle has been split into two by drawing a line from the altitude.

This would really in the following ratios or proportions below

25 : x = x : 9

25/x = x/9

Cross Multiply

x² = 25 × 9

x² = 225

x = √225

x = 15


Related Questions

Check all solutions to the equation. If there are no solutions, check "None."
x=-81

Answers

Answer:

none

Step-by-step explanation:

If a squared variable is equal to a negative number, all of the solutions are imaginary

There are no real solutions

Answer:

The correct answer is none.

When 10 b = 5 (StartRoot c EndRoot + 2) is solved for c, one equation is c = (2b minus 2) squared Which of the following is an equivalent equation to find c? c = 10 b minus 10 minus 5 c = (10 b minus 10 minus 5) squared c = StartFraction (10 b minus 2) squared Over 25 EndFraction c = StartFraction (10b minus 10) squared Over 25 EndFraction

Answers

Answer:

Option D.

Step-by-step explanation:

The given equation is

[tex]10b=5(\sqrt{c}+2)[/tex]

We need to find an equation which is equivalent to the given equation.

Using distributive property, we get

[tex]10b=5(\sqrt{c})+5(2)[/tex]

[tex]10b=5\sqrt{c}+10[/tex]

Subtract both sides by 10.

[tex]10b-10=5\sqrt{c}[/tex]

Divide both sides by 5.

[tex]\dfrac{10b-10}{5}=\sqrt{c}[/tex]

Taking square on both sides.

[tex]\left(\dfrac{10b-10}{5}\right)=(\sqrt{c})^2[/tex]

[tex]\dfrac{(10b-10)^2}{25}=c[/tex]

[tex]c=\dfrac{(10b-10)^2}{25}[/tex]

This equation is equivalent to the given equation.

Therefore, the correct option is D.

Answer:

d on edgenuity

Step-by-step explanation:

a savings account receives 12% simple interest p.a. how long would it take for £30000 to gain £28800 in interest

Answers

Answer:

8 years

Step-by-step explanation:

Given,

Principal (P) = £ 30000

Simple Interest ( I ) = £ 28800

Rate (R) = 12%

Time (t) = ?

Now,

[tex]t = \frac{i \times 100}{p \: \times \: r} [/tex]

[tex] = \frac{28800 \times 100}{30000 \times 12} [/tex]

[tex] = \frac{2880000}{360000} [/tex]

[tex] = 8 \: years[/tex]

Hence, It would take 8 years.

Hope this helps...

Good luck on your assignment...

The function f(x) = (1/5) Superscript x is translated up 4 units. Which equation represents the translated function?

Answers

Answer:

g(x) = [tex](\frac{1}{5}) ^{x}[/tex] + 4

Step-by-step explanation:

Given f(x) then f(x) + c represents a vertical translation of f(x)

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

Here f(x) is shifted up 4 units, thus translated function is

g(x) = f(x) + 4 = [tex](\frac{1}{5}) ^{x}[/tex] + 4

Answer:

C. g(x) = (1/5) x + 4

Hope this helps!

Step-by-step explanation:

Whats the square route of 49?

Answers

Answer:

The square root of 49 is 7.

Step-by-step explanation:

To find the square root of 49, you would need to look at the possible multiplication equations. For example:

1 x 49 = 49

7 x 7 = 49

49 x 1 = 49

As you can see, 7 x 7 would have the square root of 49, which is 7.

7^2=49

.

In conclusion, the square root of 49 is 7

Answer:

The square route of 49 is 7.

Step-by-step explanation:

All you have to do is 7 x 7 = 49

There. You have your correct answer.

If the picture looks a little weird, just zoom in and it should be fixed.

Answers

Answer:

c

Step-by-step explanation:

got it right

What is one of the solutions to the following system? StartLayout Enlarged left-brace 1st Row y minus 3 = x 2nd row x squared minus 6 x + 13 = y EndLayout (–5, 2) (–2, 1) (2, 5) (8, 5)

Answers

Answer:

The solution of given equation is (2,5)

Step-by-step explanation:

The equations give to us are:

y - 3 = x

or

y = x + 3

y = x² - 6x + 13

We can find the solution of the given system of equations by substituting each point in both of the equations. The point which satisfies both of the equation will be the solution of the the system of given equation.

Substitute (2,5) in both equations

y = x+3

5 = 2+3

5 = 5

TRUE

y = x² - 6x + 13

5 = 2² -6(2) + 13

5 = 5

TRUE

Similarly, we can also check the rest of the points, which come as FALSE.

Therefore, the solution of given equation is (2,5)

Answer:

Answer is C

Step-by-step explanation:

I am interested in the how, not just an answer. Who can show me the correct solution path?

Answers

The measure of angle DB is 180 degrees. It is a straight line and straight lines are 180 degrees.

Identify the domain of the function shown in the graph.
5
O A. -1 5x53
O B. 25x37
Ο Ο Ο
O C. All real numbers
D. X23

Answers

Answer:

[2, 6].

Step-by-step explanation:

Notice that there is a red line (graph) only for [2, 6].  Thus, the domain of this function is [2, 6].

A password has to use the following format: LDDDDLLL, where L can be any of the upper case letters in the alphabet, and D can be any digit including 0. None of the digits or letters can repeat. What is the probability that a random password uses only vowels (A,E,I,O,U) and odd numbers (1,3,5,7,9)? Show work but do not evaluate. What is the probability that the password spells the word “MATH?”

Answers

Answer:

Only vowels and odd numbers:

[tex]P = \frac{5}{26} *\frac{4}{25}* \frac{3}{24}* \frac{2}{23} *\frac{5}{10}* \frac{4}{9} *\frac{3}{8} *\frac{2}{7}[/tex]

Spells math:

[tex]P = \frac{1}{26} *\frac{1}{25}* \frac{1}{24}* \frac{1}{23}[/tex]

Step-by-step explanation:

We have four letters, so the probability that one letter is a vowel is 5/26 (we have 5 vowels in a total of 26 letters), then the second letter has a probability of 4/25 of being a vowel (1 vowel used), and so on (third letter being vowel = 3/24 and fourth letter being vowel = 2/23)

Then, for the digits, we do the same, one digits has 5/10 probability of being odd, then the second digit has 4/9, the third has 3/8 and the fourth has 2/7.

So the final probability would be:

[tex]P = \frac{5}{26} *\frac{4}{25}* \frac{3}{24}* \frac{2}{23} *\frac{5}{10}* \frac{4}{9} *\frac{3}{8} *\frac{2}{7}[/tex]

To find the probability that the password spells the word “MATH", each letter has to be a specific letter, so the first letter has 1/26 probability, the second has 1/25, and so on:

[tex]P = \frac{1}{26} *\frac{1}{25}* \frac{1}{24}* \frac{1}{23}[/tex]

The number of passwords with only vowels and odd numbers is 1/125580 and the probability that a password spells MATH is 1/358800

How to determine the probability

The password format is given as:

LDDDDLLL

Since no character can be repeated, then the total number of different password using the format is:

Total = 26 * 10 * 9 * 8 * 7 * 25 * 24 * 23

Total = 1808352000

Also using the format, the number of passwords with only vowels and odd numbers is:

Total = 5 * 5 * 4 * 3 * 2 * 4 * 3 * 2

Total = 14400

The probability is then calculated as:

[tex]p = \frac{14400}{1808352000}[/tex]

Simplify

[tex]p = \frac{1}{125580}[/tex]

The number of password that spells MATH is:

Total = 1 * 10 * 9 * 8 * 7 * 1 * 1 * 1

Total = 5040

So, the probability that a password spells MATH is:

[tex]p = \frac{5040}{1808352000}[/tex]

Simplify

[tex]p = \frac{1}{358800}[/tex]

Hence, the probability that a password spells MATH is 1/358800

Read more about probability at:

https://brainly.com/question/25870256

Which of these phrases contain a variable? Check all that apply.
O A. The length of the hallway
O B. Twelve ounces of tea
O C. The weight of the wombat
O D. Seven cups of flour

Answers

Answer:

The length of the hall way

the weight of the wombat

The length of the hallway

The weight of the wombat

State if a triangle is acute, obtuse, or right.
3 am
3 am
5 cm
A) Acute
B) Right
C) Obtuse
ANSWER QUICK 10 POINTS!!

Answers

The answer is A) Right because the lengths 3 cm and 3 cm are obviously the same so it will form a right angle

Answer:

Acute.

Step-by-step explanation:

This is a right angle:

|_ (Basically angle makes an "L" shape and equals to 90 degrees)

This is an obtuse angle:

\_ (Basically like a fat/big angle that is greater than 90 degrees)

This is an acute angle:

/_ (Basically "a-cute" angle that is small and is less than 90 degrees)

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Hope that helps and maybe earns a brainliest! :)

If you miss the bus, then you will be late to school.

Answers

law of syllogism basically is a=b b=c then a=c

a = miss bus

c= detention

so if you miss the bus you get detention

D

the answer is d :) i know that because i know deal with it

SOMEONE PLEASE HELP ME ASAP PLEASE!!​

Answers

Answer:

1

Step-by-step explanation:

answer is 1 trust me use simple algebra

What is the initial value of the equation shown?

y = -7x - 6

-13
-7
-6
-1

Answers

Answer:

-6

Step-by-step explanation:

Just did the test and -6 was the right answer.

To date, this year, Company XYZ has sold 600 units. They sell units at an average rate of 20 per week. The company wants to sell more than 1,000 units this year. Which of the following inequalities could be used to solve for x, the number of weeks necessary to reach the company's year-end goal? A. 20x > 1,600 B. 20x + 600 > 1,000 C. 20x > 1,000 D. 20x - 600 > 1,000

Answers

Answer:

B. 20x + 600 > 1,000.

Step-by-step explanation:

Company XYZ has already sold 600 units. They will sell additional units at 20 per week. They want to sell more than 1,000 units.

We can use "x" to represent the number of weeks it will take for the company to sell more than 1,000 units.

Their rate will be 20x (20 units per week). They have already sold 600 units, so we have the expression, 20x + 600. That quantity needs to be MORE THAN 1,000, so we will use the > sign. That needs to be more than 1,000, so we put 1,000 to the right of the > sign.

That leaves us with: B. 20x + 600 > 1,000.

Hope this helps!

Answer:

The answer is B

HURRRYYYY FIRST GETS BRAINLLEST Janine wrote the numbers 1-100 and placed them in a bag. If she selects a number without looking, what is the probability that the number is even and greater than 80? Input your answer as a decimal or fraction.

Answers

Answer:

1/10 or ( 0.1 )

Step-by-step explanation:

no. of even no.s greater than 80 = 10

Total no.of numbers = 100

So P(no. of even no.s greater than 80) = 10/100 = 1/10

Answer:

There are 10 even numbers greater than 80.

So Probability of getting an even numbers greater than 80 is 10/100 (1/10)

Hope it helps you. Please mark Brainliest :)

Have a nice day PPLS!!!!!!!

A random sample of 145 students is chosen from a population of 4,250 students. The mean IQ in the sample is 130, with a standard deviation of 7. Using a margin of error of 0.95%, what is the 90% confidence interval for the students' mean IQ score?

Answers

Answer:

Approximately, the 90% confidence interval for the students' mean IQ score is between 129.045 - 130.956

Step-by-step explanation:

The formula to use to solve this question is called the Confidence Interval formula.

Confidence interval =

x ± z × ( σ/ (√n) )

Where:

x = the sample mean = 130

z = the z-value for 90% confidence = 1.645

σ = standard deviation = 7

n = sample size = 145

130 ± 1.645 × (7/√145)

130 ± 0.9562687005

130 - 0.9562687005 = 129.0437313

130 + 0.9562687005 = 130.9562687005

Therefore, approximately, the 90% confidence interval for the students' mean IQ score is between 129.045 - 130.956

Which statement is true regarding the graphed functions?

Answers

Answer:

C

Step-by-step explanation:

You can look them up in the graphs.

f(2) means "where is the blue graph when x=2?", and you can see it is at y=0.

c . you can look them up in graphs

What is this expression in simplified form?

(8/10)(8/5)

OA 64/50
OB. 16/50
OC. 80/2
OD. 320/2

Answers

Answer:

A.64/50

Step-by-step explanation:

8/10*8/5

64/50

The least simplified form of the equation is 32/25

The simplified form of expression is option (D) 64/50 is the correct answer.

What is simplification of an expression?

Simplification of an expression is the process of writing an expression in the most efficient and compact form without affecting the value of the original expression. It involves, multiply out the brackets and then simplify the resulting expression by collecting the like terms.

For the given situation,

The expression is (8/10)(8/5)

The simplified form of expression is

⇒ [tex](\frac{8}{10} )(\frac{8}{5} )[/tex]

⇒ [tex]\frac{64}{50}[/tex]

Hence we can conclude that the simplified form of expression is option (D) 64/50 is the correct answer.

Learn more about simplification of an expression here

https://brainly.com/question/13730519

#SPJ3

Helen drives 195 miles in 3 hours.
a) What is her average speed in mph?
Matthew drives at an average speed of 62 mph for 5 hours.
b) How many miles does Matthew drive?

Answers

Answer:

a) What is her average speed in mph?

= 65 mph

b) How many miles does Matthew drive?

=310 miles

Step-by-step explanation:

The average speed in meters per hour (mph) of Helen is 65 miles per hour

Given:

Total distance = 195 miles

Time taken = 3 hours

Average speed = Total distance ÷ Time taken

= 195 miles ÷ 3 hours

= 65 miles per hour

If Matthew drives at an average speed of 62 mph for 5 hours.

Total distance between traveled = Average speed × Time taken

= 62 mph × 5 hours

= 310 Miles

Therefore the total miles Helen traveled in 5 hours at the rate of 62 mph is 310 miles

Read more:

https://brainly.com/question/8406966

given f(x) = 3/2x - 5 and g(x) = x^2 + 2x find x (the input) if g(x) = 0 ( the output 0 ) there are 2 answers

Answers

Answer:

x = 0   ,   x = -2

Step-by-step explanation:

The function given to us is:

f(x) = 3/2x - 5

g(x) = x² + 2x

We have to find the input x, for which the output of the function g(x) becomes 0.

It means that there is no use for the function f(x) in this question, so discard it

Substitute g(x) = 0 into the given equation of g(x):

g(x) = x² + 2x

0 = x² + 2x

Take x common from both the terms:

x(x+2) = 0

Thus, the values of x can be written as:

x = 0     ,     x + 2 = 0

x = 0     ,     x = -2

Identify the simplified form of the expression (m 5/2 n 7/2)2 A) m n2 B) m5 n C) m2 n5 D) m5 n7

Answers

Answer:

  D)  m^5·n^7

Step-by-step explanation:

The applicable rule for exponents is ...

  (a^b)^c = a^(b·c)

__

  [tex](m^{\frac{5}{2}}n^{\frac{7}{2}})^2=m^{\frac{5}{2}\cdot2}n^{\frac{7}{2}\cdot2}=\boxed{m^5n^7}[/tex]

if the parent function is y=2x, which is the function of the graph?

a. y = 0.5(2)^x+1 - 3
b. y = 0.5(2)^x-1 - 3
c. y = 0.5(2)^x+1 + 3
d. y = 0.5(2)^x-1 + 3

Answers

Answer:

The answer is option B.

[tex]y = 0.5 {(2)}^{x - 1} - 3[/tex]

Hope this helps you

Find the perimeter of the quadrilateral
If x= 2, the perimeter is____ imches

Answers

━━━━━━━☆☆━━━━━━━

▹ Answer

Perimeter = 8 inches

▹ Step-by-Step Explanation

a + b + a + b

2 + 2 + 2 + 2 → 8 inches

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Answer:

8 inches

Step-by-step explanation:

since a quadrilateral has 4 sides and each side equals 2, you would just add all the sides to together to get 8!

2 + 2 + 2 + 2 = 8

hopefully this helped :3

Shape A can be transformed to shape B by a reflection in the x-axis followed by a translation (c, d) find the value of c and the value of d

Answers

Answer:

c = -6

d = -1

Step-by-step explanation:

In the picture attached, the question is shown.

Shape A is composed of the points:

(3, 2)

(5, 2)

(3, 5)

Reflection across the x-axis transforms point (x, y) into (x, -y). Applying this transformation to shape A:

(3, 2) → (3, -2)

(5, 2) → (5, -2)

(3, 5) → (3, -5)

Translation (c, d) transforms (x, y) into (x+c, y+d). The point (3, -2) in the pre-image (before translation) corresponds to point (-3,-3) in the image (after translation). Therefore:

(3, -2) → (3+c, -2+d) → (-3,-3)

3+c = -3

c = -3 -3 = -6

-2+d = -3

d = -3+2 = -1

Need help solving triangle in picture

Answers

Answer:

see explanation

Step-by-step explanation:

Using the sine ration on the left, right triangle

sin35° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{a}{8.6}[/tex] ( multiply both sides by 8.6 )

8.6 × sin35° = a , thus

a ≈ 4.93 cm

a + b = 15.7, so

4.93 + b = 15.7 ( subtract 4.93 from both sides )

b = 10.77

-------------------------------------------------------------

Using the cosine ratio on the left, right triangle

cos35° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{y}{8.6}[/tex] ( multiply both sides by 8.6 )

8.6 × cos35° = y , so

y ≈ 7.04 cm

Using Pythagoras' identity on the right, right triangle

c² = b² + y² = (10.77)² + (7.04)² = 115.99 + 49.56 = 165.55

Take the square root of both sides )

c = [tex]\sqrt{165.55}[/tex] ≈ 12.87 cm

Which represents a measure of volume?
5 cm³
5 square cm
5 cm
5 cm²

Answers

The answer is A) 5 cm³

Volume is represented by cubic units.

Hope it helps <3

A cus of cm3 it’s volume

Help, My parents can’t even help me. I’m really stuck. In the SuperLottery, three balls are drawn (at random) from ten white balls numbered from 1 to 10, and one SuperBall is drawn (at random) from ten red balls numbered from 11 to 20. When you buy a ticket, you choose three numbers from 1 to 10, and one number from 11 to 20. If the numbers on your ticket match at least two of the white balls or match the red SuperBall, then you win a super prize. What is the probability that you win a super prize?

Answers

Answer:

This is an extremely easy question. Your correct answer is 1/7,200 or 0.01389%

Step-by-step explanation:

Since you have to choose the three numbers and one super ball to be able to win the lottery, your chances of getting 3 white numbers is 1/10 x 1/9 x 1/8 = 1/720

The chances of getting the super ball is 1/10

And the chances of winning the jackpot is 1/720 x 1/10 = 1/7,200 = 0.01389%

Does the graph represent a function?

Answers

Answer:

yes

Step-by-step explanation:

Yes, it passes the vertical line test.
Other Questions
1.The atomic number of an element is 23 and its mass number is 56.a.How many protons and electrons does an atom of this element have?b.How many neutrons does this atom have? please asap thanks :D How does a senate majority leader keep a bill from passing? Each of the following scenarios is independent. Assume that all cash flows are after-tax cash flows. Cuenca Company is considering the purchase of new equipment that will speed up the process for producing flash drives. The equipment will cost $7,200,000 and have a life of 5 years with no expected salvage value. The expected cash flows associated with the project follow: Year Cash Revenues Cash Expenses 1 $8,000,000 $6,000,000 2 8,000,000 6,000,000 3 8,000,000 6,000,000 4 8,000,000 6,000,000 5 8,000,000 6,000,000 Kathy Shorts is evaluating an investment in an information system that will save $240,000 per year. She estimates that the system will last 10 years. The system will cost $1,248,000. Her company's cost of capital is 10%. Elmo Enterprises just announced that a new plant would be built in Helper, Utah. Elmo told its stockholders that the plant has an expected life of 15 years and an expected IRR equal to 25%. The cost of building the plant is expected to be $2,880,000. Required: 1. Calculate the IRR for Cuenca Company. The company's cost of capital is 16%. Round your answer to the nearest percent El mundo laboral. Tus amigos hablan sobre lo que pasa en sus trabajos. Completa cada oracin con la forma correcta del futuro, condicional, futuro perfecto o condicional perfecto de los verbos de la lista, segn el contexto. Dos verbos no se usan. ((ahorrar. ascender. contratar. despedir. fabricar.hacer. jubilarse. publicitar. renunciar. solicitar)) 21) La prxima semana nosotros _____ el puesto de contador/a en varios sitios de Internet. 22) El gerente le dijo a Javier que lo ______ de asistente administrativo a jefe de ventas. 23) Antes de graduarme, yo ______ suficiente dinero para abrir mi propio negocio. 24) Si ganaras la lotera, _______ a tu puesto actual o seguiras trabajando? 25) Para finales del ao, la fbrica de Ford en Mxico ______ medio milln de camionetas. 26) Los obreros ______ una huelga ayer pero llegaron a un acuerdo con los propietarios. 27) Cuando tenga 75 aos yo no trabajar porque ______ para entonces. 28) Mi jefa te ______ si siempre llegas tarde al trabajo. The vertex of this parabola is at (2, -4). When the y-value is -1, the x-value is 3. What is the coefficient of the squared term in the parabola's equation? 1.Which one lived in Antarctica earlier, the labyrinthodont, the lystrosaurus, or the duck-billed dinosaur? Explain Joe was moving from California to Michigan to attend college. Joe answered an advertisement on the web and signed a lease for an apartment without ever seeing the apartment. Joe found the premises filled with an abundance of debris, rats and insects. Also, the plumbing in the apartment was inoperable. These conditions:________ Which of the following would not be a reason to use Ravens Progressive Matrices instead of the Wechsler Adult Intelligence Scale to measure the intelligence of an individual?a. The participant is not a native English speaker.b. The participant has never taken an intelligence test before.c. The participant was not raised in the United States of America.d. The participant has a verbal disability. Its a hot hard to understand. Can anyone help me? Select True/False for each of the following statements regarding aluminum / aluminum alloys: (a) Aluminum alloys are generally not viable as lightweight structural materials in humid environments because they are highly susceptible to corrosion by water vapor. (b) Aluminum alloys are generally superior to pure aluminum, in terms of yield strength, because their microstructures often contain precipitate phases that strain the lattice, thereby hardening the alloy relative to pure aluminum. (c) Aluminum is not very workable at high temperatures in air, in terms of extrusion and rolling, because a non-protective oxide grows and consumes the metal, converting it to a hard and brittle ceramic. (d) Compared to most other metals, like steel, pure aluminum is very resistant to creep deformation. (e) The relatively low melting point of aluminum is often considered a significant limitation for high-temperature structural applications. In his "Truman Doctrine" the U.S. president believed the way to "contain" Soviet expansion would be byfinancially supporting the free nations of the world who are feeling the pressure to become communists andjoin the Soviet's Warsaw Alliance.Why do you think Great Britain and France received the most financial aid? Need ASAPOne of the leaders of the Reformation, John Calvin, was particularly influenced by the Renaissance philosophy of humanism. Why were so many Europeans willing to accept this new way of looking at life during 15th and 16th centuries? A) The Catholic Church decided to place more emphasis on the rights and authority of the individual, rather than Church authorities.B) After the Black Death, which killed so many people in Europe, each individual human life was seen as more precious than ever before.C) The philosophy of humanism suggested a way of life that allowed humans to do whatever they wanted, regardless of the consequences.D) Humanism was seen as a way to escape poverty since each person could focus on finding money and resources for himself. Hunter is 9 years older than 3 times the age of his nephew. Hunter is 33 years old. How old is his nephew? who is the current ecowas chairman What is invariant under a dilation? Select the correct answer from each drop-down menu. Gino is buying wood screws at the corner hardware store. The table shows different numbers of bags of screws and their corresponding prices. Bags of Screws Price ($) 2 10 4 20 7 35 According to the table, the relationship between the number of bags and the price is proportional or not proportional The coil of wire in the center of the screen encompasses an area through which magnetic field lines pass, so there is a magnetic flux through those coils. With the magnet stationary, is this magnetic flux producing any flow of current or potential difference? Consider the following SQL code to generate a table for storing data about a music library. CREATE TABLE playlists ( id INTEGER PRIMARY KEY AUTOINCREMENT, name TEXT ); CREATE TABLE songs ( id INTEGER PRIMARY KEY AUTOINCREMENT, title TEXT, artist TEXT, album TEXT, year NUMERIC, playlist_id INTEGER, FOREIGN KEY(playlist_id) REFERENCES playlists(id) ); Critique the design of this database, as by proposing and explaining at least two ways in which its design could be improved. Hint: Might songs end up with (lots of!) duplicate values in some columns? Given that y is directly proportional tox, and when y = 8 when x=10.(a) Write down the equation of y in terms of x.(b) Find the value of y when x = 25.8(c) Find the value of x when y==25