Answers
Hello!
This problem is about relating parallel and perpendicular lines with a given point.
What we need to know here is that parallel lines will have equal slopes, while perpendicular lines will have opposite and reciprocal slopes.
Using this information, let's look at the first part.
We are asked to find a parallel line to the line [tex]y=6x-6[/tex] that passes through the point [tex](4,-3)[/tex].
Since we know that parallel lines have the same slope and we are given a point, we can solve for the y-intercept after setting up and equation.
[tex]y=6x+b[/tex]
[tex]-3=6(4)+b[/tex]
[tex]b=-27[/tex]
So the line would be [tex]y=6x-27[/tex].
Let's look at the second part, where we are asked to find a perpendicular line that passes through the same point.
We know that perpendicular lines have an opposite reciprocal of a slope, and using that information, we can go through the same process and solve for the equation.
[tex]y=-\frac{1}{6}x+b[/tex]
[tex]-3=-\frac{1}{6}(4)+b[/tex]
[tex]b=-\frac{7}{3}[/tex]
So the line would be [tex]y=-\frac{1}{6}x-\frac{7}{3}[/tex].
Hope this helps!
Related Questions
Rammy has saved some money for a new bicycle helmet that costs $47, but needs to save more. He writes an addition equation with a variable to represent the amount of money that he still needs to save. Which must be true about Rammy's equation
Answers
Ryan just got hired for a new job and will make $48,000 in his first year. Ryan was
told that he can expect to get raises of $3,500 every year going forward. How much
money in salary would Ryan make in his 24th year working at this job?
Answers
Answer:
$128,500
Step-by-step explanation:
Find out how much he will earn from his 1st year to 24th.
1st year = 48000
2nd year = 48000 + 3500 = 51500
3rd year = 51500 + 3500 = 55000
4th year = 55000 + 3500 = 58500
5th year = 58500 + 3500 = 62000
6th year = 62000 + 3500 = 65500
7th year = 65500 + 3500 = 69000
8th year = 69000 + 3500 = 72500
9th year = 72500 + 3500 = 76000
10th year = 76000 + 3500 = 79500
11th year = 79500 + 3500 = 83000
12th year = 83000 + 3500 = 86500
13th year = 86500 + 3500 = 90000
14th year = 90000 + 3500 = 93500
15th year = 93500 + 3500 = 97000
16th year = 97000 + 3500 = 100500
17th year = 100500 + 3500 = 104000
18th year = 104000 + 3500 = 107500
19th year = 107500 + 3500 = 111000
20th year = 111000 + 3500 = 114500
21st year = 114500 + 3500 = 118000
22nd year = 118000 + 3500 = 121500
23rd year = 121500 + 3500 = 125000
24th year = 125000 + 3500 = 128500
Question below in photo!! Please answer! Will mark BRAINLIEST! ⬇⬇⬇⬇⬇⬇⬇
Answer (chose the right one):
-40°
-30°
-50°
-100°
Answers
Answer:
30°
Step-by-step explanation:
∠EGD = ∠BGA
∠BGA= 30°
To graduate this semester, you must pass Statistics 314; and you estimate that you have an 85% chance of passing. You need to pass Math 272 or Math 444, each of which you have an 80% chance of passing: so you will take both in hopes that you will pass at least one. Further, you must pass German 320, which you believe you have a 90% chance of passing. Assuming your chances of passing each class you take are independent, what is your probability of graduating this semester
Answers
Answer:
Probability of graduating this semester is 0.7344
Step-by-step explanation:
Given the data in the question;
let A represent passing STAT-314
B represent passing at least in MATH-272 or MATH-444
M1 represent passing in MATH-272
M2 represent passing in MATH-444
C represent passing GERMAN-32
now
P( A ) = 0.85, P( C ) = 90, P( M1 ) = P( M2 ) = 0.8
P( B ) = P( pass at least one of either MATH-272 or MATH-444 ) = P( pass in MATH-272 but not MATH-444 ) + ( pass in MATH-444 but not in MATH 272) + P( pass both )
P( B ) = P( M1 ) × ( 1 - P( M2 ) ) + ( 1 - P( M1 ) ) × P( M2 ) + P( M1 ) × P( M2 )
we substitute
⇒ 0.8×0.2 + 0.2×0.8 + 0.8×0.8 = 0.16 + 0.16 + 0.64 = 0.96
∴ the probability of graduating this semester will be;
⇒ P( A ) × P( B ) × P( C )
we substitute
⇒ 0.85 × 0.96 × 90
⇒ 0.7344
Probability of graduating this semester is 0.7344
A scale drawn on a map represents 1 inch to be equal to 28 miles. If two cities are 2 3/4 in. apart on the map, what is the distance between them in real life? A. 49 mi. B. 77 mi. C. 56 mi. D. 63 mi.
Answers
28x2 then the remaining 3/4 equals to 21 miles so add first to inches then the remaining. 28+28+21=77
Answer: i got it right the answer is 77
Step-by-step explanation:
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answers
Answer:
<KLN and <MLI
Step-by-step explanation:
vertical angles are made by opposite angles that are made by two intersecting lines
hope this helps :), brainliest??
Sally's savings account has $238 and she is withdrawing (taking money out) $17 each week to put gas in her car. How much money will Sally have after 5 weeks?
Answers
Answer:
$153
Step-by-step explanation:
The Athens-Clarke Country Wildlife Resource Center wanted to encourage wildlife preservation efforts among students in its summer camp. In the past, it would run a particular curriculum, then gauge students' interest in wildlife preservation in a test at the end of the camp. Historically, the average on this final test to gauge preservation interest was 35.3 (out of 100).
Last summer, the resource Center created a new curriculum focusing on campers interacting directly with wildlife to promote preservation efforts. This included efforts in species dentrication handling of wild animals, and directoration of animals in habitat The Resource Center considers the collection of 40 to be a random samping from the population of campers they will encounter They need your help to determine whether this new curriculum Improves impressions about witte preservation. For their 40 scores at the end of lut summer, they found a sample mean of 26.58 and a standard deviation of 3.18.
Required:
What are the null and alternative trypotheses?
Answers
Answer:
H0 : u ≤ 0.353
Ha: u > 0.353
Step-by-step explanation:
The null and alternate hypotheses are formulated by the given claim. The claim is mostly set as the alternate hypothesis and the opposite of the alternate hypothesis is the null hypothesis.
In this question the given statement is the average on this final test to gauge preservation interest was 35.3 (out of 100). This can be used as the null hypothesis.
H0 : u ≤ 0.353
The claim is also given which is To test whether the new curriculum Improves impressions about witte preservation.
against the claim Ha: u > 0.353
Therefore it will be a one tailed test.
A professor compares the number of students at his school majoring in statistics, engineering, both, or neither.
How many items are in the sample space for a student at his school?
A. 1
B. 2
C. 3
D. 4
Answers
Answer:
Step-by-step explanation:
3
Identify two correct names for the angle below.
Answers
x+3.6= −4.75
Solve for x
Tell what you did to find x
Answers
Answer:
x=3.85
brainliest plssssssss
Step-by-step explanation:
Question:
x+3.6= −4.75
Step 1:
Subtract 3.6 from both sides of the equation
x+3.6-3.6=-4.75-3.6
Step 2:
Subtract the Numbers and simplify
x=3.85
Determinar la magnitud de la intensidad del campo eléc-
trico en un punto donde se coloca una carga de prueba de
7 mC, la cual recibe una fuerza eléctrica vertical hacia arriba
cuya magnitud es de 5 x 10-N.
Answers
Answer:
Tenemos que la magnitud de la intensidad del campo magnético tiene un valor de 0.714 N/C.
Step-by-step explanation:
HELP Asap :-/!!!! AHHHHHHHHHHH
Answers
Answer:
x = 9
Step-by-step explanation:
If ΔMNO ≅ ΔPST, their corresponding sides must also be ≅(congruent).
NO is corresponds to TS, thus sides NO and side TS are ≅.
=> 20 = 3x - 7
=> 3x = 27
=> x = 9
What is 468,839 rounded to the nearest hundred thousand?
Answers
Step-by-step explanation:
468,839 rounded to the nearest hundred thousand ( 100,000 ) would be 500,00 since its above 50 and its 68.
Hopes this helps :)
Which expression has the least value when x = 100?
A.
1
x
B.
10
x
C.
1
−
x
D.
10
−
x
Answers
Answer:
Hi! The answer to your question is B. [tex]10x[/tex]
Step-by-step explanation:
☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆
☆Brainliest is greatly appreciated!☆
Hope this helps!!
- Brooklynn Deka
GIVING BRAINLIEST!!!
Which summation formula is equivalent to the one below?
Answers
Answer:
The second summation, counting from the top.
Step-by-step explanation:
Remember the relation:
[tex]a^{-n} = \frac{1}{a^n}[/tex]
The first summation is:
4*( (-1/2)^0 + (-1/2)^1 + (-1/2)^2 + (-1/2)^3)
4*( 1 - 1/2 + 1/4 - 1/8) = 2.5
Now let's analyze the options.
Let's look at option A, here we only have 2 to different powers, so we never can have a summation equal to 2.5, then we can discard that option.
Let's look at the next one (B), it will be equal to:
= (1/4)*( (-2)^4 + (-2)^3 + (-2)^2 + (-2)^1) =
= (1/4)*( 16 - 8 + 4 - 2) = 2.5
Then this summation is the one equivalent to the first one.
Answer:
B
Step-by-step explanation:
edg 2021
A baker mixes 42.68 grams of flour and 19.125 grams of sugar in a bowl. The baker then uses 52.76 grams of the mixture in a cake. How many grams of the mixture does the baker still have? Enter your answer in the box.
Answers
Answer:
9.045 grams
Step-by-step explanation:
You add the 42.68+19.125=61.805
Then take 61.805- 52.76=9.045
The number of grams of mixture that the baker still has is 9.045 grams.
What is Addition?Addition is one of the basic mathematical operations where two or more numbers is added to get a bigger number.
The process of doing addition is also called as finding the sum.
Given that,
A baker mixes 42.68 grams of flour and 19.125 grams of sugar in a bowl.
Total grams of flour and sugar = 42.68 + 19.125 = 61.805 grams
So,
Total weight of the mixture = 61.805 grams
The baker then uses 52.76 grams of the mixture in a cake.
Remaining grams of the mixture = 61.805 grams - 52.76 grams
= 9.045 grams
Hence the remaining mixture is 9.045 grams.
Learn more about Addition here :
https://brainly.com/question/15379898
#SPJ2
Write the mix number as a fraction. 1 2/3 ||
Answers
Answer:
8/3
Step-by-step explanation:
Evaluate the polynomial for x = -2.
x² - 9x+7
Answers
(-2)^2 - 9(-2) + 7
(-2)(-2) - (-18) + 7
4 + 18 + 7
= 22 + 7
= 29
Answer:
Hi! The answer to your question is [tex]29[/tex]
Step-by-step explanation:
☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆
☆Brainliest is greatly appreciated!☆
Hope this helps!!
- Brooklynn Deka
A study9 compared personality characteristics between adult children of alcoholics and a control group matched on age and gender. For the 29 pairs of women, the authors reported a mean of 24.8 on the well-being measure for the children of alcoholics, and a mean of 29.0 for the control group. They reported t = 2.67 for the test comparing the means. Assuming that this is the result of a dependent-samples analysis, identify the df for the t test statistic, report the P-value, and interpret.
Answers
Answer:
df.= 28
P - value = 0.0124 < 0.05
There is a difference between the mean of the well-being measure for the children of alcoholics, and a mean of the control group.
Step-by-step explanation:
As the given test is dependent or paired test the degrees of freedom is n-1 = 20-1 = 28
The reported t = 2.67
The P value for ∝= 0.05 at calculated t= 2.67 and 28 d.f is 0.0124 which is less than 0.05 .
The null hypothesis is rejected.
The null hypothesis is that there is no difference between the means of the two samples.
H0: u1 = u2
The alternate hypotheis is accepted that there is difference between the means of the two samples.
Ha: u1≠ u2
There is a difference between the mean of the well-being measure for the children of alcoholics, and a mean of the control group.
the sum of 1+3+5+7+...+101=?
Answers
Answer:
.......117. hope it helps
Pls help with this question. Its due today!
Answers
Answer:
This is answer ........ ........... ........ ........... ........ ........... ........ ...........
........ ...........
Which values are solutions to the inequality below? Check all that apply.
x² < 64
Answers
Answer:
C, D, and E work,
Step-by-step explanation:
Help plssss I can’t
Answers
Answer:
336 square units
Step-by-step explanation:
The formula for a triangle is 1/2 * height *base
What is the value of a?
Answers
66
explanation:
90+24=114
180-114=66
what is 2.7 kg in g. i need a simple answer
Answers
f(x) = x2. What is g(x)?
A. g(x) = 4x²
B. g(x) = (1/4x)²
C. g(x) = (1/2x)²
D. g(x) = 1/4x²
Answers
Answer:
B. g(x) = (1/4x)²
Step-by-step explanation:
g(x) experiences a horizontal stretch where 0<|a|<1
This means we can eliminate A because that would be a horizontal compression since |a|>1
B seems to work because (1/4(4))^2=1
C does not work because you'll get 2 as your y-value
D does not work because you'd be taking 1/4 of x^2 which would give you 4.
An expression is shown below:
2x3y + 8xy − 4x2y − 16y
Part A: Rewrite the expression by factoring out the greatest common factor. (4 points)
Part B: Factor the entire expression completely. Show the steps of your work. (6 points)
Plz help, give good answer and get brainlest!!
Answers
Answer:
Part A: Rewrite the expression by factoring out the greatest common factor. (4 points)
answer:
2y(x³+4x-2x²-8)
Part B: Factor the entire expression completely. Show the steps of your work. (6 points)
answer:
2y(x³+4x-2x²-8)
2y(x³-2x²+4x-8)
2y(x²(x-2)+4(x-2))
2y(x²+4)(x-2)
Evaluate: show your work
Find the value of the variable.
102-8m=86
HELP. PLEASE HELP ME. I could really use your help if you evaluated it. Please and thank you :))
Answers
Answer:
this is easy. all you have to do is subtract 102 from 86 (which makes -16) and then divide by -8 (making m equal to 2).
Step-by-step explanation:
102 - 8m = 86
86 - 102 = -16
-16/-8 = 2
Answer:
Its 2 bby :)
Step-by-step explanation:
When a number (in this case it's a variable) is put next to another number we are multiplying. So 8×2=16 Lets test it out. 102-16=86
i need help with this math question
Answers
Answer:
it is S
Step-by-step explanation:
because it is being reflected on the X-axis
Answer:
point R
Step-by-step explanation:
If you move point R across the x-axis, and then up the y-axis, you meet point Q