Write the equation of a line passing through (-6,8) and is perpendicular to the line y=x+9 in point slope form and slope intercept form.
Answers
The equation of the line in point slope form and slope intercept form are y - 8 = -(x + 6) and y = -x + 2. respectively.
How to represent equation in slope intercept form and point slope form?The equation of a line in slope intercept form is as follows:
y = mx + b
where
m = slopeb = y-interceptTherefore, equation of a line passing through (-6,8) and is perpendicular to the line y = x + 9.
Perpendicular lines have slopes that are the opposite of the reciprocal of each other.
Therefore, the slope is - 1.
Hence,
y = -x + b
Using (-6, 8)
8 = -(-6) + b
b = 8 - 6
b = 2
Therefore, the slope intercept form is y = -x + 2.
The equation of the line in point slope form is represented as follows:
y - y₁ = m(x - x₁)
where
m = slope
Using (-6, 8)
Therefore, the equation in point slope form is y - 8 = -(x + 6)
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Related Questions
what determines the type of feedback?
answer asap for brainlist
Answers
Answer:
A
Step-by-step explanation:
if you feel cold your body will tell your brain or give feedback to make you think or say its cold
Anyone know how to do the chart
Answers
Answer:
Step-by-step explanation:
divide 12 or 15
How do you write three hundred and sixty seven thousand, seven hundred and fifty two?
Answers
Answer:
367,752 would be the answer
Answer:
367 750
Step-by-step explanation:
u start and end up with the last number after the another
What is the scale factor? please explain
Answers
Answer:
The scale factor is just the ratio like 3/15
little traingle/big triangle
Step-by-step explanation:
How many 5-letter code words can be formed from the letters T, Q, G, E, B if no letter is repeated? If letters can be repeated? If adjacent letters must be different?
Answers
The number of codes that can be made using the 5 letters given is 120 as calculated using permutation and combination.
Now when no letters are repeated:
5 letter codes to be made.
Possible options for each space = 5
so first digit has 5 options, second digit has 4 options , third digit has 3 options , fourth digit has 2 options and the final digit will have only 1 option left.
So total number of codes = 5 × 4 × 3 × 2 × 1 = 120 codes
if letters can be repeated
5 letter codes to be made.
Possible options for each space = 5
so first digit has 5 options, second digit has 5 options , third digit has 5options , fourth digit has 5 options and the final digit will have only 5 options also.
So total number of codes = 5 × 5 × 5× 5× 5= 3125 codes
if adjacent letters cannot be repeated
5 letter codes to be made.
Possible options for each space = 5
so first digit has 5 options, second digit has 4 options , third digit has 4 options , fourth digit has 4 options and the final digit will have only 4 options also.
So total number of codes = 5 × 4 × 4× 4× 4 = 1280 codes
Hence the total number of codes as calculated by permutation and combination is 1280.
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Find the value of x.
x = 2
x = 3
x = 33
x = 52
Answers
x=3
The mean height of three boys is 150 centimeters. The mean height of two girls is 145.Find the mean height of five students
Answers
A mean is an arithmetic average of a set of observations. The mean height of the five students is 148.
What is Mean?A mean is an arithmetic average of a set of observations. it is given by the formula,
Mean = (Sum of observations)/Number of observations
Given that the mean height of three boys is 150 centimeters. Therefore, the sum of height of the three boys is,
Mean Height of boys = Sum of height of boys / Number of boys
150 = Sum of height of boys/ 3
Sum of height of boys = 150 x 3 = 450
Also, given that the mean height of two girls is 145 centimeters. Therefore, the sum of height of the two girls is,
Mean Height of girl = Sum of height of girls/ Number of girls
145 = Sum of height of girls/ 2
Sum of height of girls = 145 x 2 = 290
Further, the mean height of five students is,
Mean height of five students = Sum of height of students / Number of students
Mean height of five students = (450 + 290)/ 5
Mean height of five students = 740 / 5
= 148
Hence, the mean height of the five students is 148.
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(b) Do you think it would be a good idea to rotate the candidate choices in
the question? Why?
A. Yes, to avoid response bias
B. Yes, to confuse the respondents
O C. Yes, to make the resulting counts all closer to each other
D. There is no need to rotate the choices.
Answers
From the information, it would be a good idea to rotate the candidate choices A. Yes, to avoid response bias.
Response bias
From the complete question, it should be noted that a good idea to rotate the candidate choices in order to avoid response bias.
When conducting any survey that has multiple choices, the respondents have a tendency to quickly finish up the survey by answering the survey questions quickly.
In this process, this can lead to bias towards the first and last choice. Since the sample of 20 registered voters was surveyed, it is wise to rotate the candidate choices.
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how many solutions are shown by the system of equations in the graph below ?
Answers
Question:
Solution:
The number of solutions of a system of linear equations will be represented on the graph of each linear equation. If the two lines of each linear equation intersect at a point, we can conclude that the system of linear equations has a solution, namely that point. In the given problem, note that this point is (-6,-4).
So that, we can conclude that the correct answer is:
THE SYSTEM HAS ONLY ONE SOLUTION AT (-6,-4)
Mariana receives a $20 gift card for downloading music and wants to determine how many songs she can purchase. Each downloaded song costs $1.29. If m represents the number of songs downloaded, which inequality represents the given situation? 20 m greater-than-or-equal-to 1.29 20 m less-than-or-equal-to 1.29 1.29 m less-than-or-equal-to 20 1.29 m greater-than-or-equal-to 20
Answers
Answer:
The relationship between m number of songs downloaded and the total cost of $20 Mariana receives will be represented by inequality .
Given,
The value of gift card which Mariana have .
The costs of each downloaded song is .
Since m represents the number of songs downloaded and she has in total , so the inequality represents the given situation is,
.
Hence the required inequality is .
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Step-by-step explanation:
Answer:
The answer should be C
The product of two positive integers is 20. Find the two numbers
Answers
Answer:
1 and 20 or 2 and 10 or 4 and 5
Step-by-step explanation:
the divisors of 20 are 1 , 2 , 4 , 5 , 10 , 20
Then
20 = 1 × 20
= 2 × 10
= 4 × 5
David works six more hours per week than Xavier. If Xavier works 32 hours a week, what is the total hours the two work in a
week?
Please show steps if you can:)
Answers
Answer:
70 Hours.
Step-by-step explanation:
Xavier works 32 hours per week.
David works 6 more hours than Xavier.
32 + 6 = 38
David works 38 Hours per week.
The total of there hours is David + Xavier...
38 + 32 = 70 Hours.
We are required to find the total hours David and Xavier works in a week
The total hours David and Xavier works in a week is 70 hours
let
number of hours Xavier works = 32 hours
number of hours David works = (6 + 32) hours
= 38 hours
Total number of hours David and Xavier works in a week = number of hours Xavier works + number of hours David works
= 32 hours + 38 hours
= 70 hours
Therefore, the total hours David and Xavier works in a week is 70 hours
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use rational exponents to rewrite and simplify the expression
Answers
the answer is in the photo
Choose the 3 correct answers please! ( Branliest )
Answers
Answer:
Option A,B,E are equivalent.
Step-by-step explanation:
What we are given: Expression
To find : Which expressions are equivalent to given expression ?
Solution :
We solve the expression and check,
A) Yes it is equivalent.
B) Yes it is equivalent.
C) No it is not equivalent.
D) No it is not equivalent.
E) Yes it is equivalent.
Therefore, Option A,B,E are equivalent.
Step-by-step explanation:
Hope this Helps =)
Answer:
A , C , EStep-by-step explanation:
Answer A :\( - 30(3 + 2w) \\ - 30(3) - 30(2w)\\ - 90 - 60w\)
It's equivalent. ✔️
Answer B :\(( - 9 - 6w) - 10 \\ - 9 - 6w - 10 \\ - 19 - 6w\)
It's not equivalent. ✖️
Answer C :\( - 3(30 - 20w) \\ - 3(30) -3(20w) \\ - 90 - 60w \\ \)
It's equivalent. ✔️
Answer D :\((6 + 4w) \times 15 \\ 15(6)+ 15(4w) \\ 90 + 60w \\ \)
It's not equivalent. ✖️
Answer E :\( - 20(4.5 + 3w) \\ -20(4.5) -20(3w) \\ - 90 - 60w \\ \)
It's equivalent. ✔️
• I am a fraction less than 1.
My denominator is a multiple of 5.
My denominator is less than 20.
• My numerator is a multiple of 4.
My numerator is 3 less than my
denominator.
Answers
Answer:
12/15
Step-by-step explanation:
3x5=15
4x3=12
15-12=3
Therefore the answer is 12 over 15
Help
Identify the equation that represents a quadratic relationship
y =4x^2
y =4x^4
y =4x^3
y =4
Answers
The equation that represents a quadratic relationship is y = 4x^2. Option A.
A quadratic relationship is a mathematical relationship where the variable y is a function of the variable x raised to the power of 2. In other words, it is an equation in which the highest power of the variable is 2.
Let's analyze the given equations:
1. y = 4x^2: This equation represents a quadratic relationship because the variable x is raised to the power of 2. The term 4x^2 indicates that the relationship between x and y is quadratic.
2. y = 4x^4: This equation represents a quartic relationship, not a quadratic relationship. The variable x is raised to the power of 4, which indicates a higher degree relationship than quadratic.
3. y = 4x^3: This equation represents a cubic relationship, not a quadratic relationship. The variable x is raised to the power of 3, indicating a higher degree relationship.
4. y = 4: This equation represents a linear relationship, not a quadratic relationship. It is a constant equation where y is always equal to 4, regardless of the value of x. In a quadratic relationship, the variable x should have a power of 2. Option A.
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During the exponential phase, e.coli bacteria in a culture increase in number at a rate proportional to the current population. If growth rate is 1.9% per minute and the current population is 172.0 million, what will the population be 7.2 minutes from now?
Answers
During the exponential phase, e.coli bacteria in a culture increase in number at a rate proportional to the current population. If growth rate is 1.9% per minute and the current population is 172.0 million, the population 7.2 minutes from now can be calculated using the following formula:
P(t) = P ₀e^(rt)where ,P₀ = initial population r = growth rate (as a decimal) andt = time (in minutes)Substituting the given values, P₀ = 172.0 million r = 1.9% per minute = 0.019 per minute (as a decimal)t = 7.2 minutes
The population after 7.2 minutes will be:P(7.2) = 172.0 million * e^(0.019*7.2)≈ 234.0 million (rounded to the nearest tenth)Therefore, the population of e.coli bacteria 7.2 minutes from now will be approximately 234.0 million.
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Find the unit rate.
64 ounces in 4 cans
Answers
Answer:
16 ounces per can
Step-by-step explanation:
64/4 oz = 4/4 cans
16 oz = 1 can
The unit rate is 0.16 ounces per can.
The July bank statement sent by the bank to ABC company shows a balance of cash on deposit at July 31 of Br.4,964.47 Assume that on July 31, assume the on July 31, ABCs ledger shows a bank balance of Br. 4 173. 83. 1. A deposit of Br 410. 90 made after banking hours and doesnt appear in the bank statement2. A check drawn for Br. 79 had been erroneously charged by the bank Br.973. For checks issued in July have not yet been paid by the bank (outstanding checks). : Theses checks are;- Check No date amount 801 June 15 ---Br.100,00 888 July 24 ----Br. 10.25 890 July 27--- Br. 294.50 891 July 30 ---Br. 205.004. A check written for birr 210 had been incorrectly charged by the bank as birr 120 5. Proceeds from collection of a interest bearing note receivable from David. ABC Company had left this note with the banks collection department. The face amount of the note was birr 500 6. Br. 24.75 interest earned on average account balance during July7. A check for Br. 10 returned with the statement had been recorded in the check register as Br. 100. The check was for the payment of an obligation to Davis Equipment Company for the purchase of office supplies on account 8. Br. 5,00 fee charged by bank for handling collection of note receivable 9. Br. 50.25 check from customer John deposited by ABC company charged bank as Non sufficient fund (NSF) 10. Br. 12.70 service charged by bank for the month of July. 11. Check number 875 was issued July 20 in the amount of Br 85 but was erroneously recorded in the cash payment Journal as Br 58 for payment of telephone expense prepare bank reconcilation and journal entry
Answers
The bank reconciliation shows an adjusted bank balance of Br.5,301.42 and an adjusted ledger balance of Br.4,173.83.
To prepare the bank reconciliation and journal entry for ABC Company based on the given information, we need to compare the transactions recorded in ABC's ledger with the transactions shown in the bank statement. Here's the bank reconciliation:
1. Bank Statement Balance:
Cash on deposit at July 31: Br.4,964.47
2. Adjusted Bank Balance:
Bank Statement Balance: Br.4,964.47
3. Deposit not on the statement: + Br.410.90
(Adjusted Bank Balance: Br.5,375.37)
Erroneously charged check: + Br.79
(Adjusted Bank Balance: Br.5,454.37)
Outstanding checks:
Check 801: - Br.100.00
Check 888: - Br.10.25
Check 890: - Br.294.50
Check 891: - Br.205.00
(Adjusted Bank Balance: Br.4,844.62)
4. Incorrectly charged check: + Br.90
(Adjusted Bank Balance: Br.4,934.62)
5. Collection of interest-bearing note: + Br.500
(Adjusted Bank Balance: Br.5,434.62)
6. Interest earned: + Br.24.75
(Adjusted Bank Balance: Br.5,459.37)
7. Incorrectly recorded check: - Br.90
(Adjusted Bank Balance: Br.5,369.37)
8. Collection fee: - Br.5.00
(Adjusted Bank Balance: Br.5,364.37)
9. NSF check: - Br.50.25
(Adjusted Bank Balance: Br.5,314.12)
10. Service charge: - Br.12.70
(Adjusted Bank Balance: Br.5,301.42)
Adjusted Ledger Balance:
Bank Balance in ABC's Ledger: Br.4,173.83
Reconciled Bank Balance: Br.5,301.42
Reconciled Ledger Balance: Br.4,173.83
Journal Entry:
To record the bank reconciliation, we make the following journal entry:
Debit: Cash (Ledger Balance adjustment) - Br.5,301.42
Credit: Cash (Bank Statement Balance adjustment) - Br.4,964.47
Credit: Miscellaneous Income/Expense - Br.336.95 (the difference between the two balances)
This journal entry ensures that the ledger balance matches the reconciled bank balance by adjusting for the discrepancies identified during the reconciliation process.
The journal entry reflects the necessary adjustments to reconcile the two balances, with a debit to Cash (Ledger Balance adjustment), a credit to Cash (Bank Statement Balance adjustment), and a credit to Miscellaneous Income/Expense to account for the difference.
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Frank works at Best Buy. After 2 hours he’ll earn $15.50. If he works 4 hours he’ll earn $31.00. Find the rate of change and write your answer as a decimal.
Answers
Answer:
Each hour he earns $7.75
Step-by-step explanation:
You can find this out by dividing the money that he earns in 2 hours by 2 to get $7.75 an hour because $15.50 divided by 2 equals $7.75
Philip tiene 8 bolas rojas, 3 bolas verdes, 6 bolas amarillas, 13 bolas negras y 15 bolas azules en su bolsa. ¿cuál es la media, la mediana, la moda y el rango? AYUDAR
Answers
Answer:
Media: 9
Mediana: 8
Moda: 8, 3, 6, 13, 15
Rango: 12
Step-by-step explanation:
Ojala que te ayude ^^
Answer:
In the ______________ stage, the plant produces spores.
The Venn diagram shows the number of customers who have purchased different types of pets from a pet store, where C represents customers who have purchased cats, D represents customers who have purchased dogs, and F represents customers who have purchased fish.
Circles C, D, and F overlap. Circle C contains 15, circle D contains 21, and circle F contains 12. The overlap of C and F contains 2, the overlap of F and D contains 0, and the overlap of D and C contains 3. The overlap of all 3 circles contains 1. Number 14 is outside of the circles.
How many people are in the set C ∩ D?
4
6
36
38
Answers
The number of people in the set C ∩ D (customers who purchased both cats and dogs) is obtained by adding the overlap of D and C (3) with the overlap of all 3 circles (1), resulting in a total of 4 individuals.
The correct answer is 4.
To determine the number of people in the set C ∩ D (customers who have purchased both cats and dogs), we need to analyze the overlapping regions in the Venn diagram.
Given information:
- Circle C (cats): 15
- Circle D (dogs): 21
- Circle F (fish): 12
- Overlap of C and F: 2
- Overlap of F and D: 0
- Overlap of D and C: 3
- Overlap of all 3 circles: 1
- Number outside of circles: 14
To determine the number of people in the set C ∩ D (customers who have purchased both cats and dogs), we need to consider the overlapping region between circles C and D.
From the information given, we know that the overlap of D and C is 3. Additionally, we have the overlap of all 3 circles, which is 1. The overlap of all 3 circles includes the region where customers have purchased cats, dogs, and fish.
To calculate the number of people in the set C ∩ D, we add the overlap of D and C (3) to the overlap of all 3 circles (1). This gives us 3 + 1 = 4.
Therefore, from the options given correct one is 4.
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Answer: 4
Step-by-step explanation:
trust me bro
Which of the following is a radical equation?
+√√√5 = 12
X+N
O x² = 16
O 3+x√√√7=13
07√√x=14
Answers
The radical equation among the following equations will be 7√ x = 14 as it is the only equation that has a radical variable that is √ x.
A radical equation is an equation which has at least one variable to be put on in a radical form.
In this question, we have only one kind of variable which is x. So, we will only analyze that variable only.
Now, we need to find the equation where x is in the radical form.
The radical form can be expressed with square root symbol.
The option with √ x would be only 7√ x = 14.
Therefore, the radical equation among the following equations will be 7√ x = 14 as it is the only equation that has a radical variable that is √ x.
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Your question was incomplete. Please refer the content below.
Which of the following is a radical equation? x+√5=12
x^2=16
3+x√7=13
7√x=14
{1, √2, √√3, 2, √5, ...}
need help knowing the sequence and the 3 next terms
Answers
Answer:
3, 2√2, √7
Step-by-step explanation:
compute the square roots of the next three prime numbers:
√7
√11
√13
Therefore, the next three terms of the sequence are:
{1, √2, √3, 2, √5, √7, √11, √13}
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Recently many airlines have had cancel flight in a single day republic airlines had to cancel 416 flights representing 15.1% of the airlines scheduled flights. How many flights were originally scheduled?
Answers
The number 2755 flights were scheduled.
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.
Given:
Recently many airlines have had to cancel flights in a single day.
Republic airlines had to cancel 416 flights representing 15.1% of the airlines' scheduled flights.
The number of flights scheduled,
= 416 x 100/ 15.1
= 41600/15.1
= 2754.96
≈ 2755
Therefore, 2755 flights were scheduled.
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Cuantas Escuelas de administración hay ?
Answers
Use the histogram to answer the following questions.
Frequency
The frequency of the class 90-93 is
The frequency of the class 94-97 is
This means that a total of
5.5
5
4.5
Your answers should be exact numerical values.
The frequency of the class 86-89 is
86
94
90
Duration of Dormancy (minutes)
dormancy periods were recorded.
Answers
The parameters that are needed to calculate a probability are listed as follows:
Number of desired outcomes in the context of a problem or experiment.Number of total outcomes in the context of a problem or experiment.Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes, hence it is the same as a relative frequency.
The total number of periods is given as follows:
5 + 6 + 4 = 15.
The frequency of each class is given as follows:
86 - 89: 5/15 = 1/3.90 - 93: 6/15 = 2/5.94 - 97: 4/15.Learn more about the concept of probability at https://brainly.com/question/24756209
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Find the area of the triangle having the indicated angle and sides. (Round your answer to one decimal place.)
B 128°, a 86, c = 37
Answers
The area of the triangle with angle B = 128°, side a = 86, and side c = 37 is approximately 2302.7 square units.
To find the area of a triangle when one angle and two sides are given, we can use the formula for the area of a triangle:
Area = (1/2) * a * b * sin(C),
where a and b are the lengths of the two sides adjacent to the given angle C.
In this case, we have angle B = 128°, side a = 86, and side c = 37. To find side b, we can use the law of cosines:
c² = a² + b² - 2ab * cos(C),
where C is the angle opposite side c. Rearranging the formula, we have:
b² = a² + c² - 2ac * cos(C),
b² = 86² + 37² - 2 * 86 * 37 * cos(128°).
By substituting the given values and calculating, we find b ≈ 63.8.
Now, we can calculate the area using the formula:
Area = (1/2) * a * b * sin(C),
Area = (1/2) * 86 * 63.8 * sin(128°).
By substituting the values and calculating, we find the area of the triangle to be approximately 2302.7 square units.
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The difference between 3.6 and a number is 2.95
Answers
Answer: x = 0.65
Step-by-step explanation: 3.6 - 0.65 = 2.95
Iceberg lettuce is grown and shipped to stores for about 50 cents a head, and consumers purchase it for about 110 cents a head. Find the percent increase.
Answers
Iceberg lettuce cost = 50 cents
consumer purchase = 110 cents
\(\begin{gathered} \text{percentage increase = }\frac{110-50}{50}\times100 \\ \text{percentage increase}=\frac{60}{50}\times100 \\ \text{percentage increase}=\frac{6000}{50} \\ \text{percentage increase}=\text{ 120\%} \end{gathered}\)