The graph of the function q(x) = -9/2x^2 is a downward-facing parabola with vertex at the origin (0, 0).
How to Identify the graph of q(x)=−92x2The graph of the quadratic function q(x) = -9/2x^2 is a downward facing parabola because the coefficient of x^2 is negative. The vertex of the parabola can be found by using the formula x = -b/2a, where a is the coefficient of x^2 and b is the coefficient of x. In this case, a = -9/2 and b = 0, so the vertex is at x = 0.
To find the y-coordinate of the vertex, we substitute x = 0 into the equation q(x) = -9/2x^2. This gives us q(0) = 0, so the vertex is at the point (0, 0).
Since the coefficient of x^2 is negative, the graph of the function opens downwards. The value of the function decreases as we move away from the vertex in either direction.
Therefore, the graph of the function q(x) = -9/2x^2 is a downward-facing parabola with vertex at the origin (0, 0).
Learn more about graph at https://brainly.com/question/19040584
#SPJ1
Section 2-5 Three-Dimensional Figures • Classwork
Question 1 of 15
Question 1
Find the surface area and volume of the solid. Round each measure to the nearest tenth, if necessary.
4.0 cm
2.4 cm
2.0 cm
3.2 cm
The Surface area of the triangular prism is 26.88 cm².
The Volume of the triangular prism is 7.68 cm³.
What is the Surface Area and Volume of the Solid?The formulas we would used are:
Surface area of triangular prism = (S1 + S2 + S3)(L) + bh
Volume of triangular prism = 1/2 * base * height * length of prism
Perimeter of the triangular face = (S1 + S2 + S3) = 4.0 + 3.2 + 2.4 = 9.6 cm
Length of prism = 2.0 cm
base of triangular face (b) = 3.2 cm
height of triangular face (h) = 2.4 cm
Plug in the values:
Surface area of triangular prism = (9.6)(2.0) + (3.2)(2.4) = 26.88 cm²
Volume of triangular prism = 1/2 * 3.2 * 2.4 * 2.0 = 7.68 cm³
Learn more about Surface area on:
https://brainly.com/question/30337697
#SPJ1
A couple gets financing for 80% of the $150,000 purchase price of a house at the rate of 6% on the monthly unpaid balance. Use the table provided to find the total amount paid to the finance company if the loan is repaid in 40 years. A 5-column table with 4 rows titled Monthly Payments per 1000 dollars of mortgage. Column 1 is labeled Interest Rate (percent) with entries 5, 5.5, 6, 6.5. Column 2 is labeled 10 Years with entries 10.61, 10.86, 11.11, 11.36. Column 3 is labeled 20 years with entries 6.60, 6.88, 7.17, 7.46. Column 4 is labeled 30 years with entries 5.37, 5.68, 6.00, 6.33. Column 5 is labeled 40 years with entries 4.83, 5.16, 5.51, 5.86. a. $231,948.00 c. $317,376.00 b. $289,005.00 d. $141,509.00
The total amount paid to the finance company if the loan is repaid in 40 years is $317,376.00 (option c).
First, we need to find out how much money the couple borrowed. Since they got financing for 80% of the $150,000 purchase price, they borrowed $120,000 ($150,000 x 0.8 = $120,000).
Next, we need to find the monthly interest rate. Since the interest rate is 6% per year, the monthly interest rate is 0.06/12 = 0.005.
Now we can use the table to find the monthly payment per $1000 of mortgage for a 40-year loan with a 6% interest rate. Looking at the fifth column of the table, we find the entry that corresponds to a 6% interest rate and a 40-year loan, which is 5.86. This means that for each $1000 borrowed, the monthly payment is $5.86.
To find the monthly payment for the couple's $120,000 loan, we multiply the monthly payment per $1000 by 120 (since they borrowed $120,000). So the monthly payment is 5.86 x 120 = $703.20.
Finally, we need to calculate the total amount paid to the finance company over the 40-year period. Since the couple will make 12 payments per year for 40 years, the total number of payments will be 12 x 40 = 480. So the total amount paid will be the monthly payment ($703.20) multiplied by the total number of payments (480). This gives us a total of $317,376.
Therefore, the correct option is (c).
To know more about total here
https://brainly.com/question/14286201
#SPJ4
about how much money
The cost of the car with 60,000 miles would be = $13,000 approximately.
How to determine the cost of cars according to mileage?To calculate the cost of the car form the given graph above is to draw a straight line that connects most of the points of interception.
From the graph, the most appropriate point of interception would be on $13,000 since each line in y-axis represents a thousand dollars.
Therefore, the cost of the car with 60,000 miles would be = $13,000 approximately.
Learn more about graph here:
https://brainly.com/question/25184007
#SPJ1
What is the Hardy-Weinberg equation and what does each part mean?
The Hardy-Weinberg equation is a mathematical formula used to calculate the frequency of alleles (alternative forms of genes) in a population.
It states that the frequency of alleles and genotypes in a population will remain constant from generation to generation in the absence of other evolutionary influences.
The equation is expressed as: p² + 2pq + q² = 1
In this equation, p represents the frequency of the dominant allele in the population, and q represents the frequency of the recessive allele.
The superscripts 2 represent the proportion of individuals in the population that are homozygous for that allele (meaning they have two copies of the same allele), while the 2pq term represents the proportion of individuals that are heterozygous (meaning they have one copy of each allele).
The sum of these terms is always equal to 1, as it represents the entire population.
This equation assumes several conditions: that the population is large, randomly mating, with no mutations, migration, natural selection, or genetic drift.
In reality, these conditions are rarely met, and the Hardy-Weinberg equation serves as a useful model for understanding how allele frequencies can change over time due to various evolutionary influences.
For similar question on Hardy-Weinberg equation
https://brainly.com/question/29776155
#SPJ11
Given a quadratic equation in vertex form, find the vertex, axis of symmetry, whether the graph
opens up or down, the maximum or minimum, and the y-intercept. Graph it!
16. y = -2(x + 2)² +4
Vertex:
Axis of symmetry:
Opens: up
Maximum
down
Minimum
X=h A must write
x=
Max/Min Value:
The key features of the given quadratic equation include the following:
Vertex = (-2, 4)
Axis of symmetry: x = -2.
Direction of opening: downward.
There is a maximum (max) at 4.
y-intercept = (0, 0).
roots: x = -4 and x = 0.
What is the vertex form of a quadratic equation?In Mathematics and Geometry, the vertex form of a quadratic equation is modeled by this formula:
f(x) = a(x - h)² + k
Where:
h and k represents the vertex of the graph.a represents the leading coefficient.Based on the information provided about the graph of this quadratic equation, we can reasonably infer and logically deduce that its vertex can be determined as follows:
y = -2(x + 2)² +4
Vertex, (h, k) = (-2, 4)
Axis of symmetry, Xmax = -2.
Read more on vertex here: brainly.com/question/14946018
#SPJ1
You spend $124.54 at Walmart but have to pay the addition 8.5% sales tax. How much sales tax do you owe?
The sales tax owed on a $124.54 purchase at Walmart with an 8.5% sales tax rate is $10.59.
Suppose you spent $124.54 at Walmart and the sales tax rate is 8.5%. To calculate how much sales tax you owe, we first need to convert the sales tax rate from a percentage to a decimal. We do this by dividing the percentage by 100. So, the sales tax rate in decimal form is:
8.5% ÷ 100 = 0.085
Next, we multiply the purchase price by the sales tax rate in decimal form to calculate the amount of sales tax owed:
$124.54 × 0.085 = $10.59
To know more about sales tax here
https://brainly.com/question/29442509
#SPJ4
what can be the maximum number of digits in the repeating block of digits in the decimal expansion 5/7
Answer: To find the decimal expansion of 5/7, we can perform long division as follows:
0.7│5.0
4 2
────
8 │ 30
28
───
20 │ 200
196
────
4
Hence, 5/7 = 0.714285... where the digits 714285 repeat indefinitely. To find the maximum number of digits in the repeating block of digits, we can observe that the repeating block will be at most 6 digits long because 7 has a factor of 2 and 5, and therefore 7 divides 10^6 - 1 = 999999.
In fact, we can see that the repeating block in this case has 6 digits, since the digits 714285 repeat indefinitely, and there are 6 digits in this repeating block. Therefore, the maximum number of digits in the repeating block of digits in the decimal expansion of 5/7 is 6.
Step-by-step explanation:
Which equation shows how to find p, the price mrs. Mersin paid for the car
An equation which shows how to find p, the price Mrs. Merson paid for the car include the following: B) 5500/p = 55/100.
What is price?In Mathematics and Science, a price can be defined as an amount of money which is primarily set by the seller of a product, and it must be paid by a buyer to the seller, so as to enable the acquisition of this product.
Based on the information provided about the amount of money that Mersin paid for the car, an equation which shows how to find the price (p) is given by;
55% of p = 5500
55/100 × p = 5500
5500/p = 55/100
Read more on price here: https://brainly.com/question/14463202
#SPJ1
Complete Question:
Mrs. Merson is selling her car. Her research shows that the car has a current value of $5,500,
which is 55% of the amount Mrs. Merson paid for the car. A buyer wants to know the price
Mrs. Merson paid for the car.
• Which equation shows how to find p, the price Mrs. Merson paid for the car?
A) 55/p = 5500/100
B) 5500/p = 55/100
C) p/5500 = 55/100
D) p/5 = 5500/100
MAKE THE FOLLOWING STATEMENTS ABOUT EXPONENTS TRUE.
--- When multiplying polynomials with the same base,
[Select]
the coefficients.
---
When dividing polynomials with the same base, [Select]
[Select]
[Select]
✓the coefficients.
--- When raising a power to a power, distribute the exponent by [Select]
and applying the exponent to the coefficient.
--- When raising anything to the Zero power, the answer will be [Select]
-- When raising anything to the 1st power, the answer will be [Select]
exponents and
exponents and
exponents
--- When trying to leave a variable without a negative exponent, you should flip the position of the variable
to the reciprocal and [Select]
✓the negative exponent.
You rolled a number cube 20 times, you get three 14 times. What is the experimental probability that you will roll a three on your next roll?
The experimental probability that you will roll a three on your next roll is 70%.
To calculate the experimental probability of rolling a number three on the next roll, we need to use the data given in the problem. Out of the 20 rolls that were performed, the number three was rolled 14 times.
The experimental probability is calculated by dividing the number of times the event occurred (in this case, rolling a number three) by the total number of trials.
So, the experimental probability of rolling a number three on the next roll is:
14/20 or 7/10
This means that based on the data from the previous 20 rolls, there is a 70% chance of rolling a number three on the next roll.
To learn more about probability click on,
https://brainly.com/question/29181048
#SPJ4
Solve the differential equation.
dy/dx = 9x2y2
for y\neq0
The general solution to the differential equation is y = -1/(3x³ + C)
Where C is an arbitrary constant.
Solving the differential equation:
The concept used to solve this differential equation is the separation of variables. Separated the variables on either side of the equation and then integrated both sides to get the general solution with a constant of integration.
Note that, the solution is valid only for y ≠ 0 as the differential equation is undefined for y = 0.
Here we have
dy/dx = 9x²y²
Solve the differential equation using the separation of variables.
=> dy/dx = 9x² y²
Let's separate the variables by dividing both sides by y² and dx:
=> 1/(y²) dy = 9x² dx
Now we can integrate both sides:
=> ∫1/(y²) dy = ∫9x² dx
Using the power rule of integration, we get:
=> -1/y = 3x³ + C
Where C is the constant of integration.
To solve for y, we can multiply both sides by -1:
=> y = -1/(3x³ + C)
Therefore,
The general solution to the differential equation is y = -1/(3x³ + C)
Where C is an arbitrary constant.
Learn more about Differential equations at
https://brainly.com/question/31583235
#SPJ4
Solve the system using elimination -6X = 18 - Y 9 = -3X - 8Y
The solution to the system by elimination is (-2, 4).
Solving the system using eliminationTo solve the system using elimination, we need to eliminate one of the variables by multiplying one or both of the equations by a constant.
-6X = 18 - Y
9 = -3X - 8Y
Rewrite as
-6X = 18 - Y
3X = 9 - 8Y
So, we have
-6X = 18 - Y
6X = 18 - 8Y
Now we can add this equations to the second equation to eliminate x:
0 = 36 - 9Y
This gives
9Y = 36
So, we have
Y = 4
Recall that
-6X = 18 - Y
So, we have
-6X = 18 - 4
So, we have
-6X = 12
Divide by 2
X = -2
Therefore, the solution to the system is (-2, 4).
Read more about system of equations at
https://brainly.com/question/13729904
#SPJ1
True or False: A z-score measures how many standard deviations an individual value is from the mean.
A z-score is a statistical measurement that indicates how many standard deviations an individual value is from the mean - True.
The mean from the value of interest and dividing the result by the standard deviation.
This standardized score provides a way to compare values from different data sets or populations.
For example, if a student's score on a test is 80 and the mean score for the class is 70 with a standard deviation of 5, the student's z-score would be 2.
This means that the student's score is two standard deviations above the class mean. This information can be useful in understanding the student's performance relative to their peers.
Z-scores can also be used to identify outliers or extreme values in a data set. Values with a z-score greater than 3 or less than -3 are considered to be outliers and may warrant further investigation.
In summary, a z-score is a valuable tool in statistical analysis that measures how many standard deviations a value is from the mean. It provides a standardized way to compare values across different data sets and can help identify outliers or extreme values.
For similar question on Z-scores
https://brainly.com/question/13299273
#SPJ11
What is the solution to the equation 10^x=23? a) x = log 33 b) x = log 23 c) x = log 13 d) x = log 130
Therefore, the solution to the equation 10ˣ = 23 is: x = log(23) that is option B.
What is equation?An equation is a mathematical statement that shows that two expressions are equal. It typically includes variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. Equations can be solved to find the value(s) of the variable(s) that make the equation true.
Here,
Taking the logarithm of both sides of the equation 10ˣ = 23:
log(10ˣ) = log(23)
Using the power rule of logarithms, the left-hand side simplifies to:
x log(10) = x
Since log(10) = 1, we have:
x = log(23)
To know more about equation,
https://brainly.com/question/28243079
#SPJ1
in the number 425.871 which digit has the greatist value
In the number 425.871, the digit with the greatest value is 4 because it is in the hundreds place, representing a value of 400.
Explanation:In the number 425.871, each digit has a position and a value based on where it's located in the number. The position starting from the right of the decimal point we call the tenths, hundredths, and thousandths place, respectively. Similarly, the position to the left of the decimal point is called the ones, tens, hundreds place, etc., respectively. In this case, the digit with the greatest value is the one in the hundreds place, which is 4. This is because it represents 400, which is greater than any other individual digit's value in the number 425.871.
Learn more about Place Value here:
https://brainly.com/question/35447631
#SPJ11
Mark Twain once said, "The secret of getting started is breaking your complex overwhelming task into small manageable tasks, and then starting on the first one. " How does this quote connect to the process you can use as a writer?
A. Divide the task into pieces and then chose just one to complete in order to write a good story. B. Find the steps a famous writer takes and follow them exactly. C. A well-written story relies on only one step and that is all you need to do as a writer. D. Breaking the story into pieces and then tackling them one at a time can help you as a writer
Mark Twain's quote about breaking down overwhelming tasks into manageable pieces is a valuable lesson for high school students, particularly when it comes to writing. (option d)
In the context of writing, this quote can be particularly helpful. Writing a story or essay can seem like a daunting task, but if you break it down into smaller pieces, it becomes much more manageable. This is where the process of outlining comes in. An outline is essentially a roadmap of your writing, breaking it down into smaller components that you can tackle one at a time.
In mathematical terms, you can think of this process as a series of equations. Each equation represents a small, manageable piece of the overall problem.
By breaking down the problem into smaller equations, you can solve each one individually, which ultimately leads to solving the larger problem. This is similar to how breaking down a writing project into smaller pieces can help you write a well-structured and coherent piece.
Hence the correct option is (d).
To know more about quote here
https://brainly.com/question/15703655
#SPJ4
Need help with this question!
Answer:
[tex]r = \sqrt{ {3}^{2} + {( - 7)}^{2} } = \sqrt{9 + 49} = \sqrt{58} [/tex]
[tex] {x}^{2} + {y}^{2} = 58[/tex]
-x² + 2x + x - 3x = -9 + 2 + 6
The solution for the equation -x² + 2x + x - 3x = -9 + 2 + 6 is derived to be x = 1
How to solve for the value of x in the equationWe shall solve for x by simplifying the equation and making x the subject as follows:
-x² + 2x + x - 3x = -9 + 2 + 6
-x² + 3x - 3x = 8 - 9
-x² = -1
multiply both sides by -1 we have;
x² = 1
take square root of both sides
x = √1
x = 1
Therefore, the equation -x² + 2x + x - 3x = -9 + 2 + 6 will have a solution for the value of x = 1
Read more about equation here:https://brainly.com/question/1214333
#SPJ1
50 *1,967 also solve this 50* 1,000
Do not use a calculator.
Answer: 50 * 1,967 = 98,350
50 * 1,000 = 50,000
Step-by-step explanation: 50 * 1,967 = 50 * 1,000 + 50 * 967 = 50,000 + 48,350 = 98,350.
Please PLEASE HELP ME this is due in 7 minutes and it the last question PLEASE
Answer:
(3,0)
Step-by-step explanation:
the point (5,-5) a translation of 2 units left would be equivalent to x-2.
(5-2,-5)
5 units up is equivalent to y+5
therefore
(5-2,-5+5)
yields
(3,0)
What is the value for x.
The value of x is 3 unit.
The correct option is B.
We have,
P = 3√2/2
Angle= 45
Using Trigonometry
cos 45 = B /H
1/√2 = ( 3√2/2)/ x
x= 3√2/2 . √2
x = 6/2
x= 3 unit
Learn more about Trigonometry here:
https://brainly.com/question/29002217
#SPJ1
29°
82°
18m
18 m
Find the perimeter
The perimeter of the figure is 38.52.
We have,
The perimeter of the figure:
Side + 18 + 18
From the figure,
82 + 90 + x = 180
172 + x = 180
x = 180 - 172
x = 8
Now,
Using trigonometric identities Sin.
Sin 8 = Side/18
0.14 = side/18
side = 0.14 x 18
side = 2.52
Now,
The perimeter of the figure.
= Side + 18 + 18
= 2.52 + 18 + 18
= 38.52
Thus,
The perimeter of the figure is 38.52.
Learn more about trigonometric identities here:
https://brainly.com/question/14746686
#SPJ1
If events X and Y are independent, then find P(X and Y). P(X)= 2/3 and
P(Y) = 3/4
O 17/12
O 5/7
O 1/2
O 1/4
Answer:
1/2
Step-by-step explanation:
Since the events are independent, P(A and B) = P(A) * P(B)
P(X and Y) = P(X) * P(Y)
= 2/3 * 3/4
= 2/4
= 1/2
system of equations find the cost each treat please
The costs of each treat are
cookies = 6.48, ice cream 1 = 8.98 and ice cream 2 = 10.25cookies = 1.19, ice cream 1 = 2.99 and ice cream 2 = 4.99Finding the cost of each treat using system of equationsTo solve this, we use the followign representations
x = cookies
y = ice cream 1
z = ice cream 2
Treat 1
Using the columns to generate the system of equations, we have
x + y + z = 25.71
z + 2x = 23.21
3y = 26.94
So, we have
y = 8.98
The other equations become:
x + 8.98 + z = 25.71
z + 2x = 23.21
When solved, we have
x = 6.48
z = 10.25
Treat 2
Using the rows to generate the system of equations, we have
x + 2y = 7.17
y + 2x = 5.37
3z = 14.97
So, we have
z = 4.99
The other equations when solved, we have
x = 1.19
y = 2.99
Read more about system of equations at
https://brainly.com/question/13729904
#SPJ1
Select the correct answer.
A number is selected at random from the set (2, 3, 4.... 10). Which event, by definition, covers the entire sample space of this experiment?
O A. The number is not divisible by 5.
O B.
The number is greater than 2.
O C.
The number is neither prime nor composite.
O D.
The number is even or less than 12.
Reset
Next
G
The correct statement about the numbers is,
⇒ The number is even or less than 12.
We have to given that;
A number is selected at random from the set (2, 3, 4.... 10).
Hence, We can check all the options as;
⇒ 10 is divisible by 5
Hence, A is incorrect.
⇒ Since, 2 = 2
Hence, B is incorrect.
⇒ Since, Every numbers are less than 12 and some numbers are even.
Hence, The correct statement about the numbers is,
⇒ The number is even or less than 12.
Thus, The correct statement about the numbers is,
⇒ The number is even or less than 12.
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ1
A recent conference had 750 people in attendance. In one exhibit room of 70 people, there were 18 teachers and 52 principals. What prediction can you make about the number of principals in attendance at the conference?
There were about 193 principals in attendance.
There were about 260 principals in attendance.
There were about 557 principals in attendance.
There were about 680 principals in attendance.
There were about 557 principals in attendance based on the prediction
Predicting the number of principals in attendance at the conference?To make a prediction about the number of principals in attendance at the conference, we can assume that the proportion of principals in the exhibit room is similar to the proportion of principals in the whole conference.
In the exhibit room, out of 70 people, 52 were principals.
So, the proportion of principals in the exhibit room was 52/70
We can predict the number of principals in attendance at the conference as follows:
Number of principals = proportion of principals x total number of attendees
If we plug in the values, we get:
number of principals = 52/70 x 750 = 557
So, based on this prediction, we can say that there were 557 principals in attendance at the conference.
Read more about proportion at
https://brainly.com/question/1781657
#SPJ1
calculate the z-score for a data value of 80 in a data set with a mean of 52 and a standard deviation of 9. round your answer to the nearest tenth.
The z-score for a data value of 80 in a data set with a mean of 52 and a standard deviation of 9 is approximately 3.1.
The formula for calculating the z-score is:
z = (x - μ) / σ
where x is the data value, μ is the mean, and σ is the standard deviation.
Substituting the given values, we get:
z = (80 - 52) / 9 = 3.11 (rounded to two decimal places)
Therefore, the z-score for a data value of 80 in a data set with a mean of 52 and a standard deviation of 9 is approximately 3.1.
Learn more about z-score ,
https://brainly.com/question/15016913
#SPJ4
The z-score for a data value of 80 in this data set is approximately 3.1.
Calculate the z-score for a data value of 80 in a data set with a mean of 52 and a standard deviation of 9.
To find the z-score, follow these steps:
Identify the data value (x), mean (µ), and standard deviation (σ).
In this case, x = 80, µ = 52, and σ = 9.
Use the z-score formula:
z = (x - µ) / σ
Plug in the values:
z = (80 - 52) / 9
Perform the calculations:
z = 28 / 9
Round the answer to the nearest tenth: z ≈ 3.1
So, the z-score for a data value of 80 in this data set is approximately 3.1.
for such more question on z-score
https://brainly.com/question/28000192
#SPJ11
Jennifer is flying a kite. She is looking up at the kite at an angle of elevation of 39°. If the
hand that is holding the kite string is 5.5 feet above the ground, what is the kite’s vertical
distance from the ground?
It is 36 inches from the top of her head to the kite (its the triangle hypotenuse)
The kite's vertical distance from the ground, with an angel of elevation 39° from the line of sight of Jennifer is equal to 7.4 feet.
What is an angle of elevationThe angle of elevation is the angle between the horizontal line and the line of sight which is above the horizontal line.
The kite's vertical distance from the ground is the sum of its vertical height from Jennifer's hand and the distance from the ground to the hand
we shall represent the vertical height of the kite from Jennifer's hand with the letter x so that;
x = 36 inches × sin 39°
x = 3 feet × sin 39° {36 inches = 3 feet}
x = 1.8880 feet
kite's vertical distance from the ground = 1.9 ft + 5.5 ft = 7.4 feet
Therefore, the kite's vertical distance from the ground, with an angel of elevation 39° from the line of sight of Jennifer is equal to 7.4 feet.
Read more about angle of elevation here:https://brainly.com/question/2096694
#SPJ1
A salesman and 30% commission on all merchandise that he sells last month. He sold $700 worth of merchandise how much commission in dollars did he earn last month
Lines a and bare perpendicular. The equation of line a is y=x+3. What is the
equation of line b?
lines a and b are perlendicularr and the equation of line a is y=x+3.Therefore, after calculation, the equation of line b is y = -x + 3.
What is Perpendicular?Perpendicular refers to a line, ray, or segment that intersects another line or segment at a right angle, or 90-degree angle. The point of intersection is called the point of perpendicularity and is equidistant from the endpoints of the segment.
What is equation of line?An equation of a line is a mathematical representation of a straight line. It can be written in various forms, including slope-intercept form, point-slope form, and standard form, and relates the variables x and y.
According to the given information:
If line a has the equation y = x + 3 and line a is perpendicular to line b, then the slope of line b is the negative reciprocal of the slope of line a.
The slope of line a is 1, so the slope of line b is -1/1, which simplifies to -1.
To find the equation of line b, we need to find the y-intercept (b) using the point-slope form of a linear equation. We can choose any point on line b, but since we don't have any specific point given, we can use the y-intercept of line a, which is 3.
So, the equation of line b is y = -x + 3.
To know more about equation of line, perpendicular visit:
https://brainly.com/question/25790244
#SPJ1