The line y+2x=b is perpendicular to a line that passes through the origin. If the two lines intersect at one point (k+2,2k), what is the value of k?
Answer:
The line y+2x=b is perpendicular to a line that passes through the origin. If the two lines intersect at the point (k+2,2k)
Step-by-step explanation:
that should be right
The value of k is 2/3.
We have,
To determine the value of k, we need to find the equation of the line passing through the origin that is perpendicular to the line y + 2x = b.
The given line, y + 2x = b, can be rewritten in slope-intercept form
(y = mx + c) by solving for y:
y = -2x + b
Since the line passing through the origin is perpendicular to this line, its slope will be the negative reciprocal of the slope of the given line.
The given line has a slope of -2, so the perpendicular line will have a slope of 1/2.
Using the point-slope form (y - y1 = m(x - x1)) with the point (k + 2, 2k), we can write the equation of the perpendicular line passing through the origin as:
y - 0 = (1/2)(x - 0)
y = (1/2)x
To find the value of k, we equate the y-values of the two lines at the point of intersection:
(1/2)x = 2k
x = 4k
Since the x-coordinate of the point of intersection is k + 2, we can set it equal to 4k and solve for k:
k + 2 = 4k
2 = 3k
k = 2/3
Therefore,
The value of k is 2/3.
Learn more about equation of a line here:
https://brainly.com/question/23087740
#SPJ2
In the equation y=kx, which variable is the constant of proportionality?
Answer:the variable k is the constant of proportionality
Step-by-step explanation:
This can be proven when the equation is used to find different values of y. To find these different values, the x variable is substituted for different values while the k value stays the same. hope this helps!!
Please help me due today by 3:00pm please help me
Answer
n= 0
Explanation
- 3 (n - 3) = 3n + 9−3(−3)=3+9
−3+9=3+9
−3=3
-3n=3n−3n=3n
−3−3=3−3
−6=0
Which of the phrases translated the numerical expression 4 x (9-5)? Need answer to both
Answer:
a
Step-by-step explanation:
The four highest scores on the floor exercise at a gymnastics meet were 9.675, 9.25, 9.325, and 9.5. List the scores from least to greatest.
Answer:
9.25, 9.325, 9.5, 9.675
Step-by-step explanation:
Answer:
9.25, 9.325, 9.5, 9.675
(IM GIVING BRAINLIEST AND EXTRA POINTS TO WHO EVER HELPS ME!)
Watch the video of the can moving across the surface. What can the child do to create a greater force of friction?
*two hands moving a can back and forth on a table*
A) Make the table wet.
B) Place a cloth on the table.
C) Use less force when pushing the can.
D) Use more force when pushing the can.:(Inncorect)
(Here is an image) :
Answer:
i think its B
Step-by-step explanation:
D, C, and A are def wrong so i think its B
i hope i helped you!
Answer: that would be d
Step-by-step explanation:
it rained 40% of the days during casey vacation .what fraction of the days it rain
What fraction of the diagram above
is not shaded? (All the squares are
equal in area).
can 18 in, 6 in, 13 in form a triangle
Answer:
can bcz triangle has 3 sides here 3 cm are there
Amelia rented a dvd and it was due to be returned on 26 november
she actually returned it to the shop on 26 december
the rental shop applies a fine for 9p for every day the dvd is overdue
work out the total fine paid by amelia
give your answer in £?
Anyone help please!!!!!
Answer:
Step-by-step explanation:
I'm not familiar with the conversions from American dollars. I can help you solve it though.
Count how many days from Nov 26 to Dec 26 and multiply that by 9p.
It's 30 days by 9p. Take that total and convert it.
Hopefully this helps you.
Please describe a situation where you would use Excel and please describe the growth mindset needed to learn and understand.
A growth mindset is an idea that people are born with certain characteristics and can't change. A growth mindset allows a person to believe they can change themselves, and that abilities and intelligence can be developed over time. A growth mindset helps you learn that mistakes are stepping stones and that you aren't defined as some characteristic (like "dumb").
A store pays $49.14 for an easel. The Store markes up the price by %50. What is the amount the make-up
Answer:
$56.51
Step-by-step explanation:
Given parameters:
Cost price by the store = $49.14
Amount of mark up = 50%
Unknown:
Make- up price = ?
Solution:
Since the price was increased by 50% more, to find the mark up price, we can find 50% of the cost price and add the value to the cost price.
Also;
Make-up price =( 1 + [tex]\frac{50}{100}[/tex] ) x $49.14
= 1.15 x $49.14
= $56.51
Statistics can help decide the authorship of literary works. Sonnets by a certain Elizabethan poet are known to contain an average of new words (words not used in the poet's other works). The standard deviation of the number of new words is . Now a manuscript with 6 new sonnets has come to light, and scholars are debating whether it is the poet's work. The new sonnets contain an average of words not used in the poet's known works. We expect poems by another author to contain more new words, so to see if we have evidence that the new sonnets are not by our poet we test the following hypotheses.
H0 : µ = 8.88 vs Ha : µ > 8.88
Give the z test statistic and its P-value. What do you conclude about the authorship of the new poems? (Let a = .05.)
Use 2 decimal places for the z-score and 4 for the p-value.
a. What is z ?
b. The p-value is greater than ?
c. What is the conclusion?
a)The sonnets were written by another poet
b) There is not enough evidence to reject the null.
Complete question is;
Statistics can help decide the authorship of literary works. Sonnets by a certain Elizabethan poet are known to contain an average of 8.88 new words (words not used in the poet's other works). The standard deviation of the number of new words is 3. Now a manuscript with 6 new sonnets has come to light, and scholars are debating whether it is the poet's work. The new sonnets contain an average of 12.4 words not used in the poet's known works. We expect poems by another author to contain more new words, so to see if we have evidence that the new sonnets are not by our poet we test the following hypotheses.
H0 : µ = 8.88 vs Ha : µ > 8.88
Give the z test statistic and its P-value. What do you conclude about the authorship of the new poems? (Let a = .05.)
Use 2 decimal places for the z-score and 4 for the p-value.
a.What is z ?
b.The p-value is greater than ?
c. What is the conclusion? A)The sonnets were written by another poet or b) There is not enough evidence to reject the null.
Answer:
a) z = 2.87
b) P-value ≈ 0.0021
c) The sonnets were written by another poet
Step-by-step explanation:
We are given the hypothesis as;
Null hypothesis; H0 : µ = 8.88
Alternative hypothesis; Ha : µ > 8.88
We are also given;
Sample size; n = 6
Population Standard deviation; σ = 3
Sample mean; x¯ = 12.4
a) formula for z - value is;
z = (x¯ - µ)/(σ/√n)
z = (12.4 - 8.88)/(3/√6)
z = 2.87
b) we are given the significance value as α = 0.05.
From online p-value from z-score calculator attached and using z = 2.87; one tail distribution; α = 0.05, we have;
P-value = 0.002052
Approximating to 4 decimal places;
P-value ≈ 0.0021
c) The p-value is less than the significance level, thus we react the null hypothesis and conclude that the sonnets were written by another poet
The highest location in a certain country is 14,864 feet above sea level. The lowest point in the same country is 141 feet below sea level.
Find the difference of the two elevations.
A city is 7,642 feet above sea level. Is this elevation closer to the highest point or the lowest point?
Answer:
15,003 and Highest Point
Step-by-step explanation:
The highest point is at a positive 14,864 feet so we will use the number 14, 864.
The lowest is at a negative (below sea level) 141, so we will use the number -141.
The difference between them means that you subtract.
14,862-(-141)= x
Note that there is a double negative so it is positive.
14862+141=15,003 feet difference between them.
A city at 7642 above sea level is:
7642-14862=7222 feet away. The city is 7222 feet away from the highest point.
7642--141=7783 feet away. The city is 7783 feet away from the lowest point.
7222 is less than 7783, so the city is closest to the highest point.
Answer:
The difference is 15,005 and for the second part its closer to the highest point
Hope this helps!
Sine and Cosine of any angle will always give a number less than 1. Why? (*HINT* Think about fractions and how Sine is oppositehypotenuse and Cosine is adjacenthypotenus )
Answer:
Hope this helped!
Step-by-step explanation:
The most easiest way to understand this is by considering a simple right angled triangle:-
For any right angled triangle
sin(theta)=perpendicular/hypotenuse
cos(theta)=base/hypotenuse
Since hypotenuse is the largest side so neither sin nor cos could be larger than 1.
At the carnival, the ratio of people who won the ring toss game to lost it was 8 : 5. If 56
people won, how many people would have lost?
Answer:
The answer is 35
Step-by-step explanation:
First of all, note that 56 is the same as 56/1 since 56 divided by 1 is 56. Therefore, start by setting up the problem like this:
Step 1: 56/1 x 8/5 =
Step 2: Multiply the numerators together (56 x 8 = 448) and multiply the denominators together (1 x 5 = 5) and make it into one fraction like so 448/5 Step 3: Convert the improper fraction above to a mixed number to get the answer: 89 3/5
That's it! Now you know how to calculate 56 times 8:5.
Answer:
35
Step-by-step explanation:
I need help I am in 3grade and I need help with it so if you can please help
Answer:
what do you need help with exactly?
Step-by-step explanation:
Answer:
your supposed to ask a question
Step-by-step explanation:
A merchant instructs his agent to buy 1,000 micro tip pens and sell them at 15% above the purchase price. the agent charges 1% commission on the purchase and 3% commission on sales and earns Rs.534/- as commission.find the price and which the agent buys the pen
Answer:
Thank you and please rate me as brainliest as it will help me to level up
The price of the pen is "12", and the cost price of 1000 pens is "12000".
Calculating the price of the pen:Assume the number of Pens[tex]= x[/tex]
commission price of 1000 Pens[tex]=1000 x[/tex]
The selling price of Pens:
[tex]=\frac{1000\times 115x}{100}\\\\ ={10\times 115 x}{}\\\\= 1150x[/tex]
Commission price on Purchase:
[tex]= \frac{1000\times 1 x}{100}\\\\= \frac{10\times 1 x}{1}\\\\= 10x[/tex]
commission price on sales:
[tex]=\frac{1150x \times 3}{100}\\\\=\frac{115 x \times 3}{10}\\\\=\frac{345 x }{10}\\\\=34.5\ x[/tex]
Calculating the total commission:
[tex]\to 10x+34.5x=44.5x=534\\\\\to 44.5x=534\\\\\to x = \frac{534}{ 44.5}=12[/tex]
Therefore, the agent buys a pen at 12 rupees and the cost price of 1,000 pens is 12000.
Learn more about the commission price here:
brainly.com/question/2321387
what’s the value of x?
Answer:
x = -11
Step-by-step explanation:
The sum of the angles of a triangle add to 180
x+50 + 72+ x+80 = 180
Combine like terms
2x + 202 = 180
Subtract 202 from each side
2x+202-202 = 180-202
2x =-22
Divide each side by 2
2x/2 = -22/2
x = -11
a recipe for cooking turkey says to allow 15 minute cooking for each pound of turkey and to add 5 minutes additional cooking time per pound if the turkey is stuffed. this turkey weighs 15 pounds and will be stuffed. after cooking, the turkey will need 1/2 hour wait time for cooling and carving. what is the independent and dependent
The doctor had the opinion about the boy that it world
hare been better is he had velict
PLEASE HELP!
What is the result when the number 78 is increased by 55%?
Answer:
hope this helps
Step-by-step explanation:
.55×78=42.9
78+42.9
=120.9 round off 121
Answer: 120.9 I believe.
Step-by-step explanation:
55% of 78 is 42.9.
(55 x 78 over 100 = 42.9)
Therefore take 78 + 42.9.
120.9
Please help with this I need to get my math done!
can somebody help
me
Answer: answer 2
Step-by-step explanation:
Ms Gibson made an initial deposit of 500$ when opening a bank account. After the initial deposit, she deposited the same amount of money of each month-
A) a=250t
B) a=500t
C)a =250t+500
D)a=500+250
What is the inverse operations of the equation shown n+4=
Answer:
i aint never seen two pretty bestfriends
Step-by-step explanation:
There were 3 squirrels and 18 acorns on Josh's back porch. What was the ratio of acorns to squirrels? Enter your answer in reduced form.
Answer: 1:6
Step-by-step explanation:
Reduce each side of the ratio
Answer:
For every 1 squirrel there are 6 acorns
Step-by-step explanation:
u just divide 18 by 3
Identifying Slope and Y-intercept (Word
Problems)
Alimousine service charges a $35 flat rate fee plus $2.50 per mile
if traveled. Identify the slope and y-intercept.
Identifying slope and y- intercept
Answer:
i dunno
Step-by-step explanation:
(I'LL GIVE BRAINLIEST AND EXTRA POINTS IF YOU HELP!!!)
Answer:
24/6048 = 252
Step-by-step explanation:
brainlest plz
and why does she have so many beads
Answer:
she said 24 only goes into 60 once, when in reality it can go in twice
what is 3/4 and 5/12 simplified in fraction form plz idk
Answer:
Well 3/4 & 5/12 are already simplified and in fraction form, if youre
looking for decimal form its gonna be .75 &.41
Step-by-step explanation:
un automovil tiene ruedas de 80 cm de diametro el automovil avanca 10 metros en 5 segundos a velocidad constante
Answer:
1000 centímetros = 10 metros por 5 segundos a velocidad constante
Step-by-step explanation:
1 centímetro = 0.01 metros
80 centímetro = 0.08 metros
Lo siento si esto no tiene sentido o no está traducido correctamente. Solo hablo inglés con fluidez, así que me disculpo si cometí un error. Espero que ayude.