Answers
The circumcenter of a triangle is the center of a circumference where the three vertex are included. So basically we must find the circumference that passes through points O, V and W. The equation of a circumference of a radius r and a central point (a,b) is:
\((x-a)^2+(y-b)^2=r^2\)We have three points which give us three pairs of (x,y) values that we can use to build three equations for a, b and r. Using point O=(6,5) we get:
\((6-a)^2+(5-b)^2=r^2\)Using V=(0,13) we get:
\((0-a)^2+(13-b)^2=r^2\)And using W=(-3,0) we get:
\((-3-a)^2+(0-b)^2=r^2\)So we have a system of three equations and we must find three variables: a, b and r. All equations have r^2 at their right side. This means that we can take the left sides and equalize them. Let's do this with the second and third equation:
\(\begin{gathered} (0-a)^2+(13-b)^2=(-3-a)^2+(0-b)^2 \\ a^2+(13-b)^2=(-3-a)^2+b^2 \end{gathered}\)If we develop the squared terms:
\(a^2+b^2-26b+169=a^2+6a+9+b^2\)Then we substract a^2 and b^2 from both sides:
\(\begin{gathered} a^2+b^2-26b+169-a^2-b^2=a^2+6a+9+b^2-a^2-b^2 \\ -26b+169=6a+9 \end{gathered}\)We substract 9 from both sides:
\(\begin{gathered} -26b+169-9=6a+9-9 \\ -26b+160=6a \end{gathered}\)And we divide by 6:
\(\begin{gathered} \frac{-26b+160}{6}=\frac{6a}{6} \\ a=-\frac{13}{3}b+\frac{80}{3} \end{gathered}\)Now we can replace a with this expression in the first equation:
\(\begin{gathered} (6-a)^2+(5-b)^2=r^2 \\ (6-(-\frac{13}{3}b+\frac{80}{3}))^2+(5-b)^2=r^2 \\ (\frac{13}{3}b-\frac{62}{3})^2+(5-b)^2=r^2 \end{gathered}\)We develop the squares:
\(\begin{gathered} (\frac{13}{3}b-\frac{62}{3})^2+(5-b)^2=r^2 \\ \frac{169}{9}b^2-\frac{1612}{9}b+\frac{3844}{9}+b^2-10b+25=r^2 \\ \frac{178}{9}b^2-\frac{1702}{9}b+\frac{4069}{9}=r^2 \end{gathered}\)So this expression is equal to r^2. This means that is equal
Related Questions
What is the slope of the line that passes
through (7,3) and (-2,4)?
O 7
02
- 9
0-
OS
Answers
\(\qquad\qquad\huge\underline{{\sf Answer}}♨\)
Let's calculate the slope ~
\(\qquad \sf \dashrightarrow \: \dfrac{y_2 - y_1}{x_2 - x_1} \)
\(\qquad \sf \dashrightarrow \: \dfrac{3 - 4}{7 - ( - 2)} \)
\(\qquad \sf \dashrightarrow \: \dfrac{ - 1}{9} \)
That's the required slope, I hope it helps~
The values in the table represent a function.
A 2-column table with 5 rows. The first column is labeled x with entries negative 6, 7, 4, 3, negative 5. The second column is labeled f of x with entries 8, 3, negative 5, negative 2, 12.
Use the drop-down menus to complete the statements.
The ordered pair given in the first row of the table can be written using function notation as
.
f(3) is
.
f(x) = –5 when x is
.
Answers
The correct answers are:
f(-6) = 8f(3) = -2f(x) = -5 when x is 4What is the function?Functions are expressions separated by an equal sign. They have both dependent and independent variables.
How to solve* Lets explain how to solve the problem
- The table of the function has two column
# First column labeled x with entries:
-6 , 7 , 4 , 3 , -5
# Second column labeled f(x) with entries:
8 , 3 , -5 , -2 , 12
∴ The ordered pairs of the function f(x) are:
(-6 , 8) , (7 , 3) , (4 , -5) , (3 , -2) , (-5 , 12)
* Lets complete the missing
∵ The value of x in the first row is -6
∵ The value of f(x) in the first row is 8
∴ The function notation in the 1st row is f(-6) = 8
- The ordered pair given in the first row of the table can be
written using function notation as f(-6) = 8
∵ The ordered pair whose x = 3 is (3 , -2)
∴ The value of f(x) when x = 3 is -2
∴ f(3) = -2
∵ The ordered pair whose f(x) = -5 is (4 , -5)
∴ The value of x when f(x) = -5 is 4
∴ f(x) = -5 when x is 4
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Evaluate the following: -3 - (-8)
Answers
Answer:
The answer is 5.
Step-by-step explanation:
-3-(-8) = -3+8 = 5.
Answer:
The answer is 5.
Step-by-step explanation:
6.5
9.9
Find the measurement of the missing side. Round the answer to its second decimal place.
Your answer:
A. 7.47
B. 7.46
C. 7.476
D. 7.40
Answers
Answer:
i know its hard on computer
Step-by-step explanation:
In ΔTUV, t = 820 inches, mm∠U=132° and mm∠V=25°. Find the length of u, to the nearest inch.
Answers
The measure of the length of u for the condition is 1560 inches (approx).
What are the laws of sines?The law of sines specifies how many sides there are in a triangle and how their individual sine angles are equal. The sine law, sine rule, and sine formula are additional names for the sine law.
The side or unknown angle of an oblique triangle is found using the law of sine. Any triangle that is not a right triangle is referred to as an oblique triangle.
Given ΔTUV
t = 820 inches
∠U = 132°
∠V = 25°
and ∠T = 180 - 132 - 25
∠T = 23°
so according to the law of sines
\(\frac{SinT}{t} = \frac{SinU}{u}= \frac{SinV}{v}\)
so u = t*(SinU/SinT)
u = 820(Sin132/sin23)
u = 820(1.9019)
u = 1559.58 inches = 1560 inches (approx)
Hence the value of u is 1560 inches (approx).
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Pearl writes down seven consecutive integers, and adds them up. The sum of the integers is equal to $\frac{21}{4}$ times the largest of the seven integers. What is the smallest integer that Pearl wrote down?
Answers
The smallest integer that Pearl wrote down is -12.Let's assume the smallest integer that Pearl wrote down is represented by the variable "x."
According to the given information, the sum of the seven consecutive integers is equal to $\frac{21}{4}$ times the largest integer.
The sum of consecutive integers can be expressed as the sum of an arithmetic series. The sum of an arithmetic series can be calculated using the formula:
Sum = (n/2)(first term + last term)
In this case, the first term is x and the last term is x + 6 (since there are seven consecutive integers). Therefore, the sum of the integers can be written as:
Sum = (7/2)(x + (x + 6))
Simplifying the equation:
(7/2)(2x + 6) = (21/4)(x + 6)
Multiplying both sides by 4 to eliminate the fractions:
14x + 42 = 21x + 126
Subtracting 14x from both sides:
42 = 7x + 126
Subtracting 126 from both sides:
-84 = 7x
Dividing both sides by 7:
-12 = x.
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Expand and simplify (x+5) (x+5)
Answers
Answer:
x² + 10x + 25
Step-by-step explanation:
To expand two quantities, we need to distribute each value in each quantity.
For example:
Start with multiplying the x in the first quantity with the x in the other quantity.
(x+5)(x+5) = x²...
Then multiply the x in the first quantity with the 5 in the other quantity.
(x+5)(x+5) = x² + 5x...
Repeat with the 5 in the first quantity.
(x+5)(x+5) = x² + 5x + 5x +25
Combine like-terms to simplify.
x² + 10x + 25
Answer:
x^2+10x+25 or (x+5)^2
Step-by-step explanation:
(x+5)(x+5)
Multiply x+5 and x+5 to get (x+5)^2 .
(x+5)^2
Use binomial theorem (a+b)^2 =a^2 +2ab+b^2 to expand (x+5)^2 .
x^2+10x+25
Suppose the function h(x) = 2x - 9 is translated up 5 units to become a new function,
Xx). What's the equation of the new function?
A) x) = 7x-4
B)(x) = 2x - 14
C)(x) = 7x-9
D) (x)=2x-4
Answers
According to the given data the equation of the new function is (D) f(x) = 2x - 4.
What is meant by equation?An equation is a mathematical statement that indicates that two expressions are equal. It contains an equals sign "=" and may involve variables, constants, and mathematical operations such as addition, subtraction, multiplication, division, exponentiation, etc.
According to the given information:If we translate the function h(x) = 2x - 9 up by 5 units, the new function f(x) will have the form:
f(x) = h(x) + 5
Substituting the definition of h(x) into this equation, we get:
f(x) = 2x - 9 + 5
Simplifying, we have:
f(x) = 2x - 4
Therefore, the equation of the new function is (D) f(x) = 2x - 4.
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Olivia used 9 blueberries for every 3 strawberries (x) in her smoothie. Which direct variation equation represents this relationship
Answers
A farmer who only sells produce to local residents in his town wishes to expand to a neighboring city. The farmer calls everyone in the phone book with a last name starting with "S" in the neighboring city and asks them if they would be interested in buying the produce. 242 told the farmer that they would be interested, 576 said they would not be interested and 138 refused to answer. Which statement is true?
The survey sample is residents of the neighboring city with a last name starting with ”S” and whose phone number is listed in the phone book.
The population of the survey is the 242 that said they would be interested.
The population of the survey is all residents of the neighboring city whose phone number is listed.
The survey sample includes current customers.
Answers
Answer:
The survey sample is residents of the neighboring city with a last name starting with ”S” and whose phone number is listed in the phone book.
Step-by-step explanation:
that one makes the most sense
Prove (a) B(x+1,y)= x+y
x
B(x,y). (b) Γ(2x)= π
2 2x−1
Γ(x)Γ(x+ 2
1
).
Answers
The simplified equation is (π2 / 2) * ∫[0, ∞] (x(2x-1) * e(-x) / (Γ(x) * Γ(1 - x)) DX
a. To prove B(x+1, y) = x * B(x, y), proceed as follows.
Start with B(x+1, y) = [(x+1)! * y!] / ((x+y+2)!) (using the definition of B(x, y)).
Rewrite 1 / (x+1) to (x+y+2 - (y+1)) / (x+y+2) .
Using the formula above, express B(x+1, y) as (x+y+2) / (x+y+2) * [(x+1)! to rewrite. * y!] / ((x+y+2)!) - (y+1) / (x+y+2) * [(x+1)! * y!] / ((x+y+2) !).
Simplify the formula to (x+y+2) / (x+y+2) * B(x, y) - (y+1) / (x+y+2) * B(x, y) increase.
Simplify further to B(x, y) - (y+1) / (x+y+2) * B(x, y).
Note that B(x, y) can be expressed as (x / (x+y+1)) * B(x, y) .
Substitute this formula in the previous step to get,
x * B(x, y) - (y+1) / (x+y+2) * x * B(x, y).
x * B(x, y) - (y+1) / (x+y+2) * x * B(x, y)
= x * B(x, y)
You have now proved B(x+1, y) = x * B(x, y).
b. We wish to prove the identity Γ(2x) = ((2sin(πx))) * Γ(x) * Γ(x + 1/2).
Integrate ∫[0, ∞] (x(2x-1) * Start with dx.
Evaluating this integral using the permutation u = du is obtained.
Simplify the integral to (1/2) * Γ(x + 1/2).
Express sin(πx) as π / (Γ(x) * Γ(1 - x)).
Let the original integral be π * (2(2x-1) / π) * ∫[0, ∞] (x(2x-1) * e(-x) * (1/sin( πx) Rewrite.)) DX.
Substituting the equations,
The integral, π * (2(2x-1) / π) * ∫[0, ∞] (x(2x-1) *
We get * (π / (Γ(x) * Γ(1 - x)))) dx.
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Solve: -8 = -7 + x X =
Answers
add 7 to both sides:
\(\begin{gathered} -8+7=-7+x+7 \\ -1=x \\ x=-1 \end{gathered}\)The radioactive substance cesium-137 has a half-life of 30 years. The amount A (r) (in grams) of a sample of cesium-137 remaining after t years is
given by the following exponential function.
A (t)-266 6 (1) 10
Find the initial amount in the sample and the amount remaining after 50 years.
Round your answers to the nearest gram as necessary.
Initial amount:
Amount after 50 years:
Answers
The amount remaining after 50 years is approximately 45.5% of the Initial amount, A₀.
The given exponential function represents the amount A(t) (in grams) of cesium-137 remaining after t years:
A(t) = A₀ * (1/2)^(t/30)
We are asked to find the initial amount A₀ and the amount remaining after 50 years.
1. Initial amount:
The initial amount, A₀, is the amount of cesium-137 present at t = 0 years. To find A₀, we substitute t = 0 into the equation:
A(0) = A₀ * (1/2)^(0/30)
A(0) = A₀ * 1
Since anything raised to the power of zero is 1, we have A(0) = A₀ * 1, which simplifies to A(0) = A₀.
Therefore, the initial amount of the sample is A₀.
2. Amount after 50 years:
To find the amount remaining after 50 years, we substitute t = 50 into the equation:
A(50) = A₀ * (1/2)^(50/30)
Now we can calculate the amount using the given formula:
A(50) = A₀ * (1/2)^(5/3)
To round the answer to the nearest gram, we evaluate the expression and round the result to the nearest gram:
A(50) = A₀ * 0.455
A(50) ≈ A₀ * 0.455
Therefore, the amount remaining after 50 years is approximately 45.5% of the initial amount, A₀.
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The leading brand of cosmetics in the US had about 20% of the total sales in the industry. The total
sales were $2.6 billion. What was the leading brands sales? Show your work.
Answers
Answer:
The answer is $520,000,000
Step-by-step explanation:
To find twenty percent of the total $2.6 billion, all you need to do is multiply 2.6 billion * 20%
2.6, 000,000,000 * 20% (or 1/5) is 520,000,000
Since this answer is reasonable, the answer is $520,000,000
how might the area of a room affect the way the room is used?
Answers
Answer:
The more area a room has the more things you can put in it
Step-by-step explanation:
culate wages and taxes
Mr Singh is paid £11.70 per hour after tax is deducted.
a) How much does he earn if he works 5 hours?
b) How much does he earn if he works 10 hours?
c) He works 37.5 hours per week.
How much does he earn in a week?
Please help!
Answers
Answer:
a) £58.5
b) £117
c) £438.75
Step-by-step explanation:
Mr Singh is paid £11.70 per hour after tax is deducted.
This means that for x hours of work, his earning are given by:
\(E(x) = 11.7x\)
a) How much does he earn if he works 5 hours?
This is E(5).
\(E(5) = 11.7*5 = 58.5\)
b) How much does he earn if he works 10 hours?
This is E(10).
\(E(10) = 11.7*10 = 117\)
c) He works 37.5 hours per week. How much does he earn in a week?
This is E(37.5).
\(E(37.5) = 11.7*37.5 = 438.75\)
Fin the sum or difference of the polynomial (9x2 +3x+2)+(3x2 –5x-3) write your answer in descending order
Please explain so I can do the rest myself help
Answers
9x^2 + 3x^2 = 12x^2
3x + -5x = -2x
2 + -3 = -1
12x^2 - 2x - 1
Plot points to create a graph of y = f(x) on the domain {-2, 0, 2, 4}.
Answers
A graph of y = f(x) on the domain {-2, 0, 2, 4}, substitute each x-value into the equation to find the corresponding y-values, and then plot the points on a graph connecting them with a smooth curve.
To create a graph of y = f(x) on the domain {-2, 0, 2, 4}, you will need to plot the corresponding points. Let's go through the steps to do this:
1. Start by substituting each x-value from the given domain into the equation y = f(x) to find the corresponding y-values.
- For x = -2, substitute -2 into the equation: y = f(-2)
- For x = 0, substitute 0 into the equation: y = f(0)
- For x = 2, substitute 2 into the equation: y = f(2)
- For x = 4, substitute 4 into the equation: y = f(4)
2. Calculate the y-values for each x-value using the equation. For example, if the equation is y = 2x + 3, then:
- For x = -2, y = 2(-2) + 3 = -1
- For x = 0, y = 2(0) + 3 = 3
- For x = 2, y = 2(2) + 3 = 7
- For x = 4, y = 2(4) + 3 = 11
3. Plot the points on a graph with the x-axis representing the x-values and the y-axis representing the y-values. For each x-value, locate the corresponding y-value on the y-axis and mark the point.
- For (-2, -1), plot the point (-2, -1)
- For (0, 3), plot the point (0, 3)
- For (2, 7), plot the point (2, 7)
- For (4, 11), plot the point (4, 11)
4. Connect the plotted points with a smooth curve. If the given points are linear, a straight line can be drawn. If the points are nonlinear, you can use a curve to connect them.
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y < 2x - 7 on a graph
Answers
Answer:
If y is less than 2x - 7 on the graph, then the line will be descending and the slope will be negative.
Answer:
y = 2x − 7 y = 2 x - 7 Use the slope-intercept form to find the slope and y-intercept. Tap for more steps... Slope: 2 2 y-intercept: (0,−7) ( 0, - 7) Any line can be graphed using two points. Select two x x values, and plug them into the equation to find the corresponding y y values. Tap for more steps... x y 0 −7 1 −5 x y 0 - 7 1 - 5
Step-by-step explanation:
x-intercept(s):
( 7/2,0)
y-intercept(s):
(0,-7)
Allison is choosing between two rental car companies. Countrywide Auto charges $27 plus $0.27 per mile, and Smart Auto charges $45 plus $0.21 per mile.
Use the following system of equations, where y represents total cost and x represents miles, to answer the question:
y = 0.27x + 27
y = 0.21x + 45
At what point would the two lines intersect if graphed? (4 points)
(300, 108)
(108, 300)
(45, 27)
(27, 45)
Answers
The point where the two lines intersect is the solution to the system of linear equations, which is: A. (300, 108).
How to Solve a System of Linear Equations?Given that:
y = total cost
x = miles
We are also given the system of linear equations that models the scenario given as:
y = 0.27x + 27 --> equation 1
y = 0.21x + 45 --> equation 2
To find the value of x, make both equations equal to each other and solve:
0.27x + 27 = 0.21x + 45
Combine like terms
0.27x - 0.21x = -27 + 45
0.06x = 18
Divide both sides by 0.06
0.06x/0.06 = 18/0.06
x = 300
To find the value of y, plug in the value of x into equation 1, and find y:
y = 0.27(300) + 27
y = 81 + 27
y = 108
Thus, the point where the two lines intersect is the solution to the system of linear equations, which is: A. (300, 108).
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John, Jack, and Jill have 159 marbles altogether. John has 2 more marbles than Jack, and if Jill gave 5 marbles to Jack, Jack would have the same number of marbles as Jill. How many marbles does each of them have?
Answers
Answer:
someone else tell me to thank you
9. A has some amount of money with him. He gave one half of one third from that amount One half of the amount received by B is 20. What is the amount that A originally had?
Answers
Using the expression 5x/12 = 20, the amount that A originally had was $48.
We have,
Let x be the amount of money that A originally had.
Then, A gave away 1/2 x 1/3 = 1/6 of the amount, which is equal to x/6.
The amount received by B is 1/2 of the remaining amount,
which is (x - x/6)/2 = 5x/12.
We know that 5x/12 = 20,
Solving for x.
5x/12 = 20
5x = 240
x = 48
Therefore,
The amount that A originally had was $48.
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For every part produced by a factory there are 5 ounces of scrap aluminum that can be recycled there are 16 ounces in 1 pound and 2,000 in 1 ton how many parts must the factory produce so that there is1 ton of scrap aluminum for recycling
Answers
The factory must produce 6,400 parts so that there is 1 ton of scrap aluminum for recycling.
It is given that For every part produced by a factory there are 5 ounces of scrap aluminum that can be recycled there are 16 ounces in 1 pound and 2,000 in 1 ton we need to find how many parts must the factory produce so that there is 1 ton of scrap aluminum for recycling
What is a Ratio?
A quantitative relation between two amounts showing the number of times one value contains in another
1 part produced ⇒ 5 ounces scrap aluminium recycled.
So, the ratio of parts produced : Scrap of aluminium = 1 : 5 .... (a)
Let us assume for m parts produced , 1 ton of scrap is recycled.
Also, 1 ton = 2, 000 pounds
and 1 pound = 16 ounces
⇒ 1 ton = 2000 x (16 ounces) = 32,000 ounces
So, for m parts made in the factory, 32,000 ounces scrap is recycled.
So, the ratio of parts produced : Scrap of aluminium = m : 32,000 .... (b)
From both the given ratio, we get
1 : 5 = m : 32,000
m=32000/5
m=6400
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GEOMETRY MULTIPLE CHOICE
Answers
Answer:
E seems to be the only one that is true
Step-by-step explanation:
its just asking you basically which ones are true based on the info they already give you
Write an equation for each sentence.
1. Two added to three times a number m is the same as 18.
2. The product of five and the sum of a number x and three is twelve.
3. The quotient of 24 and x equals 14 minus 2 times x.
Answers
52 21 76 7673838877oehs
Which of these best represents the value of log10 3 ?
Answers
Option b. 0.48 would be the closest representation for the logarithm value of log10 3 among the given options.
To determine the value of log10 3 among the given options, we need to understand that the logarithm of a number represents the exponent to which the base must be raised to obtain that number. In this case, we are looking for the logarithm of 3 with base 10.
Among the given options (0.30, 0.48, 1.10, 2.10), none of them exactly represents the value of log10 3. However, we can make an estimation based on the given options.
The value of log10 3 is approximately 0.48. This can be inferred from the fact that log10 1 is 0 and log10 10 is 1, so the logarithm of numbers between 1 and 10 should be between 0 and 1. Since 3 is closer to 1 than 10, we can estimate its logarithm to be closer to 0.48 than 1.10 or 2.10.
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given a binary heap (minheap) as follows. if we insert value 2 into this heap and percolate up, what will be the value in the red square?
Answers
Option (c) is correct that is 19. Value 2 will be inserted in left sub tree of binary heap. Thus the right sub tree will remain unchanged.
Given that,
In the picture we have a tree.
Given the following binary heap (minheap).
We have to find what will the value in the red square be if we add value 2 to this heap and let it brew up.
We know that,
What is binary heap?There are many other kinds of heaps, however in this chapter we'll talk about binary heap. A data structure that resembles a full binary tree is called a binary heap. The ordering features of the heap data structure are covered below. An array is frequently used to represent a heap. In this chapter, H is used to represent a heap.
Therefore, Option (c) is correct that is 19. Value 2 will be inserted in left sub tree of binary heap. Thus the right sub tree will remain unchanged.
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O
X
y
X
y
X
y
X
y
0
2
0
0
-1
0
1
0
5
2
113
1
2
2
8
4
WIN
3
3
4
11
2.5 -2.5-7.5 -12.5
6
W/W
5
6
Select all table’s that represent proportional relationship between x and y
Answers
All tables that represent proportional relationship between x and y are:
B. table B.
E. table E.
What is a proportional relationship?In Mathematics and Geometry, a proportional relationship is a type of relationship that produces equivalent ratios and it can be modeled or represented by the following mathematical equation:
y = kx
Where:
y represents the x-variable.x represents the y-variable.k is the constant of proportionality.Next, we would determine the constant of proportionality (k) by using various data points as follows:
Constant of proportionality, k = y/x
Constant of proportionality, k = (20 - 15)/(10 - 5) = (5 - 4)/(1 - 0)
Constant of proportionality, k = 1.
Therefore, the required linear equation is given by;
y = kx
y = x
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
what is 4^2 - (3.1 + 6.4) + 4.5
Answers
Answer:
11
Step-by-step explanation:
Answer
11
Step-by-step explanation:
Nicole is playing a video game where each round lasts \dfrac{7}{12}
12
7
start fraction, 7, divided by, 12, end fraction of an hour. She has scheduled 3\dfrac343
4
3
3, start fraction, 3, divided by, 4, end fraction hours to play the game.
How many rounds can Nicole play?
Answers
9514 1404 393
Answer:
6 3/7 rounds
Step-by-step explanation:
(3 3/4 h)/(7/12 h/round) = (15/4)×(12/7) rounds = 45/7 rounds
= 6 3/7 rounds
Answer:
45/7 rounds
6 3/7 rounds
Step-by-step explanation:
Here is the full question
Nicole is playing a video game where each round lasts 7/12 fraction of an hour. She has scheduled 3 3/4 fraction hours to play the game. How many rounds can Nicole play? rounds
Number of rounds she can play = total time she has scheduled / length of each round
length of each round = 7/12
total time she has scheduled = 3 3/4
3 3/4 ÷ 7/12
3 3/4 x 12/7
convert to the total time scheduled to an improper fraction
to convert to improper fraction, take the following steps :
Multiply the whole number (3) by the denominator (4) = 3x 4 = 12
Add the numerator to the answer gotten in the previous step = 14 + 3 = 15
divide the number gotten in the previous step by the denominator = 15/4
× = rounds or rounds
Hope this helped:)
Tell me if it’s wrong :(