Answers
Coordinate of X is \(-18\) .
Section formulas are used to find the coordinates of the point that bisects a line segment (external or internal) at a specified ratio. When a point on a line segment divides it into two line segments, the formula used to determine the coordinates of that point is called the section formula. Suppose we have a point P(x,y) that divides a line segment in the ration m : n at points marked as A\((x_1,y_1)\) and B \((x_2,y_2)\) the , section formula is given by \(P(x,y)=(\frac{mx_2+nx_1}{m+n} ,\frac{my_2+ny_1}{m+n} )\)It is given that coordinate of W ( -22, 0) and Y(-2,0) and X is the point which divides the line segement WY in ratio 1 : 4.
By using section's formula , we get
\((x,y)=(\frac{1(-2)+4(-22)}{1+4} , \frac{1(0)+4(0)}{1+4} )\\\\(x,y)=(\frac{-2-88}{5} ,\frac{0}{5} )\\\\(x,y)=(\frac{-90}{5} ,0)\\\\(x,y)=(-18,0)\)
On comparing we get the location of X
-18
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Related Questions
true or false? a proportion is a type of ratio in which the numerator is part of the denominator and can be expressed as a percentage.
Answers
True, a proportion is a type of ratio in which the numerator is part of the denominator and can be expressed as a percentage.
A proportion is a mathematical relationship between two numbers, showing that one number is a part of the other or that they share a certain ratio. It compares two ratios and checks if they are equal. For example, if we have two ratios 1:2 and 2:4, these ratios are in proportion because they have the same relationship (1 is half of 2, and 2 is half of 4).
To express a proportion as a percentage, follow these steps:
Convert the ratio to a fraction: In our example, the ratio 1:2 can be converted to the fraction 1/2.
Divide the numerator by the denominator: In this case, we will divide 1 by 2, which equals 0.5.
Multiply the result by 100: Finally, multiply 0.5 by 100 to get the percentage, which is 50%.
So, the statement is true that a proportion is a type of ratio in which the numerator is part of the denominator and can be expressed as a percentage. This concept is essential in various mathematical and real-life applications, such as calculating discounts, tax rates, and percentages of various quantities.
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Giving relation R(A) with records {(1),(3)} and 2 transactions both executed under Serializable level :
T1 : UPDATE R SET A = 3*A
T2 : UPDATE R SET A=A+10
Which of the following conditions are not possible?
a){(3),(13)}
b){(33),(39)}
c){(3),(9)}
d){(13),(19)}
e){(33),(19)}
f){11},{13})
g){(11),(19)}
Answers
The conditions that are not possible are e) {(33), (19)} and g) {(11), (19)}.
To determine the conditions that are not possible, we need to analyze the interleaving of the two transactions and consider the serializability of their execution. Let's go through each option:
a) {(3), (13)}: This is possible. Transaction T1 updates the value from 1 to 3, and then T2 updates it from 3 to 13.
b) {(33), (39)}: This is possible. Transaction T1 updates the value from 3 to 9, and then T2 updates it from 9 to 39.
c) {(3), (9)}: This is possible. Transaction T1 updates the value from 1 to 3, and then T2 updates it from 3 to 9.
d) {(13), (19)}: This is possible. Transaction T1 updates the value from 1 to 3, and then T2 updates it from 3 to 13, and finally, T1 updates it again from 13 to 19.
e) {(33), (19)}: This is not possible. Transaction T1 updates the value from 1 to 3, and then T2 updates it from 3 to 13. Therefore, T1 cannot update it from 13 to 19 since the value is already 13.
f) {(11), (13)}: This is possible. Transaction T2 updates the value from 1 to 11, and then T1 updates it from 11 to 13.
g) {(11), (19)}: This is not possible. Transaction T2 updates the value from 1 to 11, and then T1 cannot update it from 11 to 19 since the value is already 11.
Therefore, the conditions that are not possible are e) {(33), (19)} and g) {(11), (19)}.
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help meeeeeeeeeeeee pleaseeee rnnn!!!
Answers
The chocolate bar has a length of 10.5ft and width of 5.7ft.
Area of rectangleTo find the area of a rectangle, we multiply the length of the rectangle by the width of the rectangle.
In the question, we were given the l is equal to 0.9 less than 2 times the width of the rectangle.
let;
A = areaL = lengthW = widthA = l * w
l = 2w - 0.9
A = l * w
59.85 = w * (2w - 0.9)
59.85 = 2w² - 0.9w
2w² - 0.9w - 59.85 = 0
Solving for w
w = 5.7ft
The width of the bar is 5.7ft
The length will be (2 * 5.7) - 0.9
L = 10.5ft
The length and width of the bar is 10.5ft and 5.7ft respectively
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Kevin orders 3 pairs of socks and his friend Jerry orders 5 pairs of socks.
What is the total cost, including shipping, for both orders?
Answers
Answer: 100
Step-by-step explanation:
(3*12)+2 = 38
(5*12)+2 = 62
38+62 = $100
1. Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 5x, y = 5x, x20; about the x-axis. 2. Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. x = 2 V 3y, x = 0, y = 5; about the y-axis 3. Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = x-1, y = 0, x = 4; about the x-axis. 4. Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = x + 1, y = 0, x=0, x= 5; about the x-axis
Answers
The volume V of the solid obtained by rotating the region bounded by the given curves about the specified line.
1. y = 5x, y = 5x, x20; about the x-axis is (8π/75) cubic units.
2. x = 2 V 3y, x = 0, y = 5; about the y-axis is (125π/48) units³
3. y = x-1, y = 0, x = 4; about the x-axis is (47π/3) cubic units.
4. y = x + 1, y = 0, x=0, x= 5; about the x-axis (200π/3) cubic units.
1. The given curves are y = 5x, y = 5x, x≥0. To rotate the region bounded by these curves about the x-axis, we need to integrate the area of the cross-sections perpendicular to the x-axis. The cross-sections are disks with radius y/5 and thickness dx. Thus, the volume of the solid is:
V = ∫(0 to 2) π(y/5)² dx
= π/25 ∫(0 to 2) x² dx
= π/25 [x³/3] from 0 to 2
= (8π/75) units³
Therefore, the volume of the solid is (8π/75) cubic units.
2. The given curves are x = 2V3y, x = 0, y = 5. To rotate the region bounded by these curves about the y-axis, we need to integrate the area of the cross-sections perpendicular to the y-axis. The cross-sections are disks with radius x/2V3 and thickness dy. Thus, the volume of the solid is:
V = ∫(0 to 5) π(x/2V3)² dy
= π/12 ∫(0 to 5) y³ dy
= π/12 [y⁴/4] from 0 to 5
= (125π/48) units³
Therefore, the volume of the solid is (125π/48) cubic units.
3. The given curves are y = x-1, y = 0, x = 4. To rotate the region bounded by these curves about the x-axis, we need to integrate the area of the cross-sections perpendicular to the x-axis. The cross-sections are disks with radius y and thickness dx. Thus, the volume of the solid is:
V = ∫(0 to 4) πy² dx
= π ∫(0 to 4) (x-1)² dx
= π ∫(0 to 4) (x²-2x+1) dx
= π [(x³/3)-x²+x] from 0 to 4
= (47π/3) units³
Therefore, the volume of the solid is (47π/3) cubic units.
4. The given curves are y = x + 1, y = 0, x=0, x= 5. To rotate the region bounded by these curves about the x-axis, we need to integrate the area of the cross-sections perpendicular to the x-axis. The cross-sections are disks with radius y and thickness dx. Thus, the volume of the solid is:
V = ∫(0 to 5) πy² dx
= π ∫(0 to 5) (x+1)² dx
= π [(x³/3)+x²+2x] from 0 to 5
= (200π/3) units³
Therefore, the volume of the solid is (200π/3) cubic units.
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Identify the type of sampling used: random, systematic, convenience, stratified, or cluster. To estimate the percentage of defects in a recent manufacturing batch, a quality control manager at selects every th that comes off the assembly line starting with the until she obtains a sample of .
Answers
Complete question is;
Identify the type of sampling used: random, systematic, convenience, stratified, or cluster.
To estimate the percentage of defects in a recent manufacturing batch, a quality control manager at General Foods selects every 18th soup can that comes off the assembly line starting with the fifth until she obtains a sample of 40 soup cans
Answer:
Systematic Sample
Step-by-step explanation:
We are told that the quality control manager selects every 18th soup can that comes off the assembly line starting with the fifth until she obtains a sample of 40 soup cans.
Thus, the selection is from a large sample of produce.
This is synonymous with systematic sample because systematic sample can be defined as a type of probability sampling in which sample members from a larger population are selected according to a random starting point but with a set periodic interval.
This resonates with the statement in the question about selecting every 18th soup from the production assembly line.
give an example of a linear transformation whose kernel is the line spanned by ⎡ ⎣ −1 1 2 ⎤ ⎦ in r3.
Answers
v^T proj_v(x) = 0, so v^T T(x) = v^T x - v^T proj_v(x) = v^T x, which is not zero unless x is on the line spanned by v.
Therefore, the kernel of T is precisely the line spanned by v, as desired.
Let's start with understanding what the kernel of a linear transformation is. The kernel, also known as the null space, is the set of all vectors that get mapped to the zero vector by the transformation.
In this case, the kernel is the line spanned by the vector ⎡ ⎣ −1 1 2 ⎤ ⎦. This means that any vector on this line will get mapped to the zero vector by the linear transformation we're looking for.
One example of a linear transformation that has this kernel is the projection onto the plane orthogonal to ⎡ ⎣ −1 1 2 ⎤ ⎦. This transformation takes any vector in R^3 and projects it onto the plane that is perpendicular to the given vector.
To see why this works, let's call our given vector v = ⎡ ⎣ −1 1 2 ⎤ ⎦. We can find a basis for the plane orthogonal to v by finding the orthogonal complement of v. This is the set of all vectors w in R^3 that satisfy the equation v^T w = 0.
If we solve this equation, we get the set of all vectors of the form ⎡ ⎣ a -a/2 b ⎤ ⎦, where a and b are any real numbers. This is a basis for the plane orthogonal to v.
Now, we can define our linear transformation T as follows: T(x) = x - proj_v(x), where proj_v(x) is the projection of x onto the plane orthogonal to v.
Since proj_v(x) is in the plane orthogonal to v, it is also orthogonal to v. This means that v^T proj_v(x) = 0, so v^T T(x) = v^T x - v^T proj_v(x) = v^T x, which is not zero unless x is on the line spanned by v.
Therefore, the kernel of T is precisely the line spanned by v, as desired.
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Which equation has the solution x = 5? Select each correct answer. Responses 32−4x=12 32 minus 4 x equals 12 25x+4=9 25 over x end fraction plus 4 equals 9 x5+5=6 x over 5 end fraction plus 5 equals 6 18−2x=9 18 minus 2 x equals 9 11 + 6x = 22
Answers
Answer:
32−4x=12,
25 over x end fraction plus 4 equals 9 ((25)/(x)+ 4 equals 9), and
x over 5 end fraction plus 5 equals 6 ((x)/(5) plus 5 equals 6)
Step-by-step explanation:
hope this help
Need the X And the Y
Answers
In triangles ABC and AWXY, ZA= Wand ZB= ZX.
Which of the following must to be true to prove AABC= AWXY by the AAS
theorem?
A. ZCZY
B. BC XY
O
C. AB BC
D. ABW
Answers
Answer:
c
Step-by-step explanation:
The solution is, C. AB = WX, must to be true to prove AABC= AWXY by the AAS theorem.
What is Triangle?A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes. Triangle ABC is the designation for a triangle with vertices A, B, and C. In Euclidean geometry, any three points that are not collinear produce a distinct triangle and a distinct plane.
here, we have,
We are given,
Triangles ABC and WXY having ∠A=∠W and ∠B=∠X
Now, it is give that the triangles hold AAS theorem.
Since, we already have two corresponding angles equal i.e. ∠A=∠W and ∠B=∠X.
So, by AAS Theorem, the corresponding sides between these angles must be equal.
Thus, we have, AB = WX.
Hence, option C is correct. C. AB = WX, must to be true to prove AABC= AWXY by the AAS theorem.
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A grinding process has an upper specification of 1.649 inches and a lower specification of 1.507 inches. A sample of parts had a mean of 1.57 inches with a standard deviaiton of 0.026 inches.
Round your answer to four decimal places.
What is the process capability index for this system?
Answers
Answer:
The process capability index for this system is 0.9103
Step-by-step explanation:
Upper specification = 1.649 inches
Lowe Specification = 1.507 inches
Mean = 1.57 inches
Standard Deviation = 0.026 inches
Process Capability Index = PCI
PCI = (Upper specification - lower specification)/6(standard deviation)
So, we get,
PCI = (1.649 - 1.507)/((6)(0.026))
PCI = 0.142/0.156
PCI = 0.9102564
To four decimal places, we get,
PCI = 0.9103
The following function represents the production cost f(x), in dollars, for x number of units produced by company 1:
f(x) = 0.25x2 − 8x + 600
The following table represents the production cost g(x), in dollars, for x number of units produced by company 2:
x g(x)
6 862.2
8 856.8
10 855
12 856.8
14 862.2
Based on the given information, determine which company has a lower minimum and find the minimum value.
A- g(x) at (10, 855)
B- f(x) at (16, 536)
C- g(x) at (16, 536)
D- f(x) at (10, 855)
Answers
The company that has a lower minimum and find the minimum value will be B- f(x) at (16, 536)
How to explain the informationThe following function represents the production cost f(x), in dollars, for x number of units produced by company 1:
f(16) = 0.25(16)^2 - 8(16) + 600 = 536
So, the minimum value of f(x) is 536, and it occurs at x = 16.
In conclusion, the correct option is B.
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Miguel builds a model airplane with the scale 1 in. = 6 ft. If the actual airplane wing is 36 feet long how many feet is the model air planes wing?
Answers
Answer:
6 in or 0.5 ft
Step-by-step explanation:
6 ft = 1 in so
36 ft = 6 in
because 36 / 6 = 6 and 1 * 6 = 6
Alex surveyed twenty boys from his class. He asked their height in centimeters and their
shoe size. Alex wanted to know if these two variables were related. He graphed the
results on the coordinate plane. Each graph below shows Alex’s data.
Which of the graphs shows the BEST linear fit for the data?
Answers
The graph that shows the best linear fit for the data is graph B.
What is graph?Graph is a data structure composed of nodes connected by edges, which represent a relationship between the two notes of are used to represent networks of communication that organized and even extract concept like thought or riders the nodes in the graph are often represent by Circle and it's by line but the other safe of the symbol are also use copper power Bluetooth for a organizing and understanding data and can be used to solve complex problem.
Graph B shows a line that passes through the majority of the data points, indicating a strong positive correlation between the two variables. This means that as the height in centimeters increases, the shoe size also tends to increase. Graph A shows a less distinct line that doesn't pass through as many points as graph B, indicating a weaker correlation. Graph C does not show a linear fit, as the data points are scattered throughout the graph.
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katya is making rectangular table that is 3/4m wide. The table has an area of 1 1/5 m^2. how long is the table
Answers
The length of the rectangular table that Katya is making is 1.6m.
The area of a rectangle is given by multiplying its length by its width (breadth).
Here we are being given that the width is 3/4m.
And the area is given as 1 1/5 sq.m.
∵Area=Length×breadth
∴Length=Area÷breadth
∴Length of the table = 1 1/5sq.m ÷ 3/4m= 8/5m = 1.6m
Hence we are given the required length of the table.
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i need help with 1 and 2!!
1. select the graph(s) and/or table(s) thag represent functions. choose all that apply.
2. Which set of ordered pairs does NOT represent a function?
Answers
1. The graphs and table that represent functions include the following: B, C, and E.
2. The set of ordered pairs that does not represent a function are:
A. {(-4, 9), (-4, 7), (1, -5), (7, -7)}.
C. {(-2, 0), (0, -2), (1, 1), (2, 0)}.
D. {(-5, 4), (-3, 4), (-1, 4), (2, 4)}.
What is a function?In Mathematics and Geometry, a function is used for defining and representing the relationship that exists between two or more variables in a relation, table, ordered pairs, or graph.
Part 1.
Based on the given graphs and tables, we can logically deduce that the graph of a circle represent a relation because it does not have an inverse function. Also, tables D and F does not represent a function because the input values (domain) are not uniquely mapped to the output values (range).
Part 2.
Based on the given set of ordered pairs, we can logically deduce that only set A represent a function because the input values (domain) its uniquely mapped to the output values (range).
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Solve the following system and verify the solution
Answers
The solution set to the system of linear equations is equal to (m, n) = (8, 12).
How to solve a system of linear equations
In this problem we find the representation of a system of two linear equations with two variables, whose solution set must be found by algebra properties. Now we proceed to solve the system:
(1 / 2) · m + (3 / 4) · n = 13
m + (3 / 2) · n = 26
m = 26 - (3 / 2) · n
(5 / 6) · m - (2 / 9) · n = 4
m - (4 / 15) · n = 24 / 5
m = 24 / 5 + (4 / 15) · n
26 - (3 / 2) · n = 24 / 5 + (4 / 15) · n
(53 / 30) · n = 106 / 5
n = 12
m = 24 / 5 + (4 / 15) · (12)
m = 8
Now we check if solution set is correct:
(1 / 2) · 8 + (3 / 4) · 12 = 13
13 = 13
(5 / 6) · 8 - (2 / 9) · 12 = 4
4 = 4
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there is a 91% chance of seeing a shooting star in the next hour, what is the probability of seeing a shooting star in the next half hour?
Answers
136.5 percent chance.
91 percent in one hour
how much percent in 1.5 hour?
we need to find how much percentage is in 0.5 hour
91 divided by 2 = 45.5
91 + 45.5 = 136.5
Am i bad? pls tell
HELP PLSSSSSSSSSS:( DUE SOON
Answers
Answer:
3) x = 21.33
4) x = 33
5) x = 11
Step-by-step explanation:
3: (3x + 17) + (x + 40) + (2x - 5) = 180
6x + 52 = 180
6x = 128
x = 21.333...
4: 180 / 3 = 60
3x - 39 = 60
3x = 99
x = 33
5: 90 + (6x + 7) + (2x - 5) = 180
8x + 2 = 90
8x = 88
x = 11
Liz flips a coin 60 times. The coin lands heads up 42 times and tails up 18 times. Complete eachstatement.The theoretical probability of the coin landing heads up is [%.
Answers
Given:
The number of times coin flipped is N = 60.
The number of heads is n(H) = 42.
The number of tails is n(T) = 18.
The objective is to find the theoretical probability of coin landing heads up.
Explanation:
The general probability of coin landing heads is,
\(P(H)=\frac{n(H)}{N}\text{ . . . . . .(1)}\)On plugging the given values in equation (1),
\(P(H)=\frac{42}{60}=0.7\)To obtain the percentage of probability,
\(\begin{gathered} P(H)=0.7\times100 \\ =70\text{ \%} \end{gathered}\)Hence, the probability of the coin landing heads up is 70%.
Gabriel is signing up for a gym membership with a one-time fee to join and then a monthly fee to remain a member. The monthly fee is $40 and the one-time joining fee is $100. Write an equation for C,C, in terms of t,t, representing the total cost of the gym membership over tt months.
Answers
Answer:
Step-by-step explanation:
#1 y= $40tt
#2 y = $100
where y represents the amount of money spent.
where tt represents the amount of months being charged for the monthly membership.
A girl has 5 more than twice as many pennies as she has dimes. Altogether she has
$3.05. How many coins does she have?
Answers
Answer:
80 total coins
Answer:
80
Step-by-step explanation:
Determine whether the following equence i an arithmetic or geometric progreion. Give a reaon for your anwer. 100p,50p,25p,
Answers
Answer:
Geometric.
Step-by-step explanation:
It is Geometric because there is a common ratio between the terms.
50p/100p = 1/2
25p/50p = 1/2
The common ratio is 1/2.
Each term is obtained by multiplying by 1/2, so the next term in this progression is 25p * 1/2 = 12.5p.
If x=11, then 15x-4x=?
Answers
Answer:
121
Step-by-step explanation:
If x=11 then the equation is:
15(11)-4(11)
First, multiply:
15×11-4×11=164-44
Now, subtract:
164-44= 121
Hope this helps!! <3
Answer:
121
Step-by-step explanation:
15x-4x
15(11) - 4(11)
165 - 44
= 121
There are 3 red, 2 yellow.
1 blue, and 5 green
deflated balloons in a
sack. What is the
probability of drawing out
a yellow balloon?
Answers
Answer:
The probability is like 0.18 or 18%
Step-by-step explanation:
Does anyone the the answer for this ?:)
Answers
Answer:
69.08
Step-by-step explanation:
C=2πr
Brainly plss
helpppppppppppppppppppppp plsssss..
Answers
Answer:
The function crosses the Y axis (the up down axis) at -1
Step-by-step explanation:
When playing roulette at a casino, a gambler is trying to decide whether to bet $15 on the number 10 or to bet $15 that the outcome is any one of the three possibilities 00,0 , or 1 . The gambler knows that the expected value of the $15 bet for a single number is −79 e. For the $15 bet that the outcome is 00,0 , or 1 , there is a probability of
38
3
of making a net profit of $60 and a
38
35
probability of losing $15. a. Find the expected value for the $15 bet that the outcome is 00,0 , or 1 . b. Which bet is better: a $15 bet on the number 10 or a $15 bet that the outcome is any one of the numbers 00,0 , or 1 ? Why? a. The expected value is $ (Round to the nearest cent as needed.)
Answers
The expected value for the $15 bet that the outcome is 00, 0, or 1 can be calculated to determine its value.
To find the expected value for the $15 bet on the outcome of 00, 0, or 1, we need to consider the probabilities and outcomes associated with the bet.
Given the information provided, there is a probability of 38/3 of making a net profit of $60 and a probability of 38/35 of losing $15.
To calculate the expected value, we multiply each outcome by its corresponding probability and sum them up:
Expected Value = (Probability of Net Profit) * (Net Profit) + (Probability of Loss) * (Loss)
Expected Value = (38/3) * $60 + (38/35) * (-$15)
Calculating the above expression will give us the expected value for the $15 bet on the outcome of 00, 0, or 1.
Expected value is a concept used in probability theory to quantify the average outcome of a random variable. It represents the average value we can expect to win or lose over a large number of repetitions of an experiment.
In this case, we are comparing two different bets: a $15 bet on the number 10 and a $15 bet on the outcome of 00, 0, or 1.
To determine which bet is better, we compare their expected values. The bet with the higher expected value is generally considered more favorable.
To make this comparison, we need to find the expected value for the $15 bet on the number 10. However, the expected value for this bet is not provided in the question.
Once we have the expected values for both bets, we can compare them. If the expected value for the $15 bet on the outcome of 00, 0, or 1 is higher than the expected value for the $15 bet on the number 10, then the former bet is considered better.
In summary, without the specific expected value for the $15 bet on the number 10, we cannot determine which bet is better. It depends on the calculated expected values for both bets, with the higher value indicating the more favorable option.
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The value of 4 less than the product of 0.25 and x is greater than 6.
What are all the possible values of x?
Answers
Answer: x = {41,42,43...}
Step-by-step explanation:
0.25x - 4 > 6
0.25x > 6 + 4
0.25x > 10
x > 10/0.25
x > 40
The possible values of x are {41,42,43...}
draw a graph for x= - 4
Answers
Answer:
basically it's a vertical line on -4