Here's a question ~
p1 and p2 are points on either of the two lines
[tex]y - \sqrt{3} |x| = 2[/tex]
at a distance of 5 units from their point of point of intersection. Find the coordinates of the foot of perpendiculars drawn from p1 , p2 on the bisector of the Angle between the given lines.
Answers
Answer:
(0, 5√3/2 + 2)Step-by-step explanation:
Given is the absolute value function.
Observations:
It has a slope of ±√3 and the y- intercept of 2.There is no horizontal shift, so the the y-axis is the line of symmetry.The y-axis is also an angle bisector of the two lines.The foot P₁P₂ is parallel to the x-axis since it's perpendicular to the y- axis.We need to find the coordinates of intersection of the line P₁P₂ with the y- axis (the point Y in the picture).
Consider the triangle AYP₂.
We know AP₂ = 5.
The angle YAP₂ is:
arctan (1/√3) = 30°The distance AY is:
AY = AP₂ cos 30° = 5*√3/2The distance from the x-axis to the point Y is:
5√3/2 + 2, added the y- intercept of the graphed linesThe coordinates of the point Y:
(0, 5√3/2 + 2)![Here's A Question ~p1 And P2 Are Points On Either Of The Two Lines [tex]y - \sqrt{3} |x| = 2[/tex]at](https://brainimage.s3.us-east-005.backblazeb2.com/answers/attachments/3sRJYj4psBXilE5F0f17XUakOdaa97fB.jpeg)
Related Questions
Juna travels 15 mph for 10 hours find the distance piles per hour
Answers
Answer:2 hours 15 mins = 2 1/4 hours
2 1/4 hours = 25 miles
1 hour = 25 ÷ 2 1/4 = 25 ÷ 9/4 = 25 x 4/9 = 11.1 miles
Answer: 11.1 mph
Step-by-step explanation:
1)the fish vendor sells 5/7 kilos of bangus for 75.50. if you will buy 2 1/7 kilos of bangus,how much will cost?
Answers
Answer: 好吧，您看到当您将其乘以 73 然后除以 时，您将获得免费的旁遮普语和免费的，乔·佩珀将在凌晨 3 点拜访您
Step-by-step explanation: 详见附件
(14.7+9.3) times (1/2)2
Answers
Answer:
24
Step-by-step explanation:
What is the answer to this equation below and is it a one step or two step equation?
6x+8 = 59
Answers
6x= 51
x=51/6
The answer is x=51/6
Take away 8 on both sides
6x=51
x=51/6
Personally leave it as a fraction
Please help me! It’s for geometry
Answers
The answer to this is 2 67.5
A college student takes out a $7 500 loan from a bank. Assuming the student has not started paying back the money, how much does the student owe . . .
1.1 . . . after 1 year, if the bank charges 3.8% interest each year?
Answers
So the time period in the compounding equation is YEARS.
The compounding equation is:
(Future Loan Amount) = (Current Loan Amount) * (1 + the interest rate of the time period in decimals) ^ (number of time periods)
(Use this for all future questions too - if compounding monthly then time period is total number of months and interest rate is annual rate divided by 12 etc)
So in this case the answer is:
(Future Loan Amount) = (Current Loan Amount) * (1 + the interest rate of the time period in decimals) ^ (number of time periods)
(Future Loan Amount) = $7,500 * (1 + 0.038) ^ (11) = $11,304
(note - when answering its hard to see the original question. I believe the answer asked for 11 years. If not, if 1 year, etc just plug in that number into the equation - so one year is simply: 7500*1.038 = $7,785
20 POINTS PLEASE HELP ASAP!
Answers
Answer: increasing . . . positive . . . 2
Step-by-step explanation:
As best as I can tell . . .:
increasing . . . positive . . . 2.
The equation describing this line is y = 2x + 2
It has a positive (increasing) slope of 2 (with a y-intercept of +2).
expand the brackets (x+5)(3x-2).
Answers
Answer: 3x^2 +13x - 10
Step-by-step explanation:
(x+5)(3x-2) = x(3x-2) + 5(3x-2)
x(3x-2) + 5(3x-2) = 3x^2 - 2x + 15x - 10
3x^2 - 2x + 15x - 10 = 3x^2 + 13x - 10
Answer:
3x²+13x-10
Step-by-step explanation:
(x+5)(3x-2)x(3x-2)+5(3x-2)3x²-2x+15x-103x²+13x-10Factor the Trinomial 6x^2 -23x +20
(And please show the work/steps.)
Answers
Step-by-step explanation:
6x²-23x+20
=>6x²-8x-15x+20
=>2x(3x-4)-5(3x-4)
=>(3x-4)(2x-5)
hope this helps you.
Step-by-step explanation:
the answer is in the image above
2. What is the value of the pass after 15 rides?
# of Rides Bus Pass Value Rule
0 $100.00
1 $98.25
2 $96.50
3 $96.75
15 ??? $73.75 ??? Is my answer 73.75 right? If not does anyone know the correct answer
!plz help!
Answers
Answer:
im really confused. but its 2,75$ per pass?/ride? sorry i cant help much
Step-by-step explanation:
solve for x 2/10=3/x-9
Answers
Answer:
24
Step-by-step explanation:
Answer:24
explanation
GHD989 guys please you this code for guathmath thank you .
Answers
I will do that soon okay I will
Please help with this math problem! :)
Answers
Answer:
look at the photo..................
Answer:
x = 4.8 , y = 4
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{KJ}{NP}[/tex] = [tex]\frac{KL}{NM}[/tex] , substitute values
[tex]\frac{x}{3}[/tex] = [tex]\frac{8}{5}[/tex] ( cross- multiply )
5x = 24 ( divide both sides by 5 )
x = 4.8
and
[tex]\frac{JL}{PM}[/tex] = [tex]\frac{KL}{NM}[/tex] , that is
[tex]\frac{6.4}{y}[/tex] = [tex]\frac{8}{5}[/tex] ( cross- multiply )
8y = 32 ( divide both sides by 8 )
y = 4
Write the expression c · d · c · c · d · b · c · d · d · b · d · d · d · d using exponents. Write the variables in alphabetical order.
Answers
Answer:
b^2 * c^4 * d^6
Step-by-step explanation:
i think this is right
Each cube in the prism is one cubic unit.
What is the volume of this rectangular prism
Answers
Answer:
I don't have answer but To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units
Answer:
The volume of this rectangular prism is 90.
Step-by-step explanation:
V = L * W * H
V = 6 * 3 * 5
If Sean reads 1 1/2 pages in 3 1/3 minutes, how many pages does he read in 1 minute?
Answers
Sixty tickets at $50 each cost
Answers
Answer:
$3000
Step-by-step explanation:
1 ticket = $50
Therefore, 6 ticket = 6x50
=$3000
The SAT is the most widely used college admission exam. (Most community colleges do not require students to take this exam.) The mean SAT math score varies by state and by year, so the value of µ depends on the state and the year. But let’s assume that the shape and spread of the distribution of individual SAT math scores in each state is the same each year. More specifically, assume that individual SAT math scores consistently have a normal distribution with a standard deviation of 100. An educational researcher wants to estimate the mean SAT math score (μ) for his state this year. The researcher chooses a random sample of 656 exams in his state. The sample mean for the test is 480.
Find the 95% confidence interval to estimate the mean SAT math score in this state for this year.
(Note: The critical
z
-value to use,
z
c
, is: 1.960.)
( , )
Answers
Using the z-distribution, it is found that the 95% confidence interval to estimate the mean SAT math score in this state for this year is (472, 488).
We have the standard deviation for the population, which is why the z-distribution is used to solve this question.
The sample mean is [tex]\overline{x} = 480[/tex].The population standard deviation is [tex]\sigma = 100[/tex].The sample size is [tex]n = 656[/tex].The interval is given by:
[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]
We have to find the critical value, which is z with a p-value of [tex]\frac{1 + \alpha}{2}[/tex], in which [tex]\alpha[/tex] is the confidence level.
In this problem, [tex]\alpha = 0.95[/tex], thus, z with a p-value of [tex]\frac{1 + 0.95}{2} = 0.975[/tex], which means that it is z = 1.96.
Then:
[tex]\overline{x} - z\frac{\sigma}{\sqrt{n}} = 480 - 1.96\frac{100}{\sqrt{656}} = 472[/tex]
[tex]\overline{x} + z\frac{\sigma}{\sqrt{n}} = 480 + 1.96\frac{100}{\sqrt{656}} = 488[/tex]
The 95% confidence interval to estimate the mean SAT math score in this state for this year is (472, 488).
A similar problem is given at https://brainly.com/question/22596713
helpppppppp plzzzzzzzzzzzzzzzzz (ANSWER ONLY IF YOU KNOW)
Answers
Answer:
1/7 ( a+1 )
Step-by-step explanation:
1/7a + 1/7
1/7 ( a+1 )
1 = m 3 = 20°, then m =
Answers
Answer:
1
Step-by-step explanation:
Answer: 140m
Step-by-step explanation:
Akeem bought a used video game for $38. Later, he sold it for 40% less than he paid. For how much did he sold the video game? please help, WITH EXPLANATION ASWELL !!
Answers
Answer:
£22.8
Step-by-step explanation:
Akeem bought a used video game for $38. Later, he sold it for 40% less than he paid.
First, find
40% of £38
=£15.2
Then, find the price of which he sold the video game for...
£38 – £15.2
= £22.8
Hope this helped you- have a good day bro cya)
Which graph represents the polynomial function f(x)=x3+4x2−1
Answers
Answer:
B OK HOI THE FIRST TIME I AM SO SORRY TO
A plane travels a distance of 6,000 km in a time of 6.2 hours.
What is its average speed rounded to the nearest whole number?
Answers
Answer:
distance =6,000km
time =6.8 hrs
speed =distance /time =6,000/6.8=60000/68=882 km/h
plz make brainiest
16. John's daily income is $120. His daily income is 20% more than Michael's daily income. What is Michael's
daily income?
Plz send step by step explanation
Will mark as a brainiest
Answers
Answer:
Michael's daily income is $96
Step-by-step explanation:
Given
john's income=$120
by question
John's income is 20%more than Micheal's
so,. Micheal's income= John's income - 20%of John's income
=$120 - 20%of $120
=$120 -20/100*$120
=$120 - $24
=$96
Answer:
100
Step-by-step explanation:
[tex]x + \frac{20x}{100} = 120 \\ x + \frac{x}{5} = 120 \\ 5x + x = 600 \\ 6x = 600 \\ x = 100[/tex]
What is the area of the rectangle?
Answers
Answer:
60
Step-by-step explanation:
multiply length times width l x w
length is 10
width is 6
10 x 6 is 60
The length of the rectangle is 9, while the width of the rectangle is 6. To find the area, you must multiply length • width.
9•6=54
QUICK HURRY I NEED THE ANSWER TOO 10(-11) HURRY!!!!!
Answers
Answer:
-110
Step-by-step explanation:
Answer:
-110
Step-by-step explanation:
if x = (7+4√3), then the value of x^2 + 1/x^2 is
Answers
Answer:
194.
Step-by-step explanation:
x = (7+4√3)
x^2 = x = (7+4√3)^2
= 49 + 48 + 56√3
= 97 + 56√3
x^2 + 1/x^2 = 97 + 56√3 + 1/(97 + 56√3)
= 194.
Solve the equation for the y-value and choose whether it is a direct variation or inverse variation
xy = 7
Answers
Answer: Choice B
y = 7/x
inverse variation
=========================================================
Explanation:
We divide both sides by x to isolate y. That's how we go from xy = 7 to y = 7/x
This is an inverse variation because it's in the form y = k/x. The constant is k = 7.
The table shows the shipping fee options for two online marketplaces.
Online Market Shipping Fees
Deals Flat fee of $12
Sell Ur Stuff 11% of selling price
If you sell a smart phone online for $115, how much will you pay if you use the online market with the lesser fee?
Answers
Since 11% of $115 is $12.65, it is convenient to pay the flat fee of $12.
If you sell a smart phone online for $115, to determine how much you will pay if you use the online market with the lesser fee, the following calculation must be performed:
115 x 0.11 = X 12.65 = X
Thus, since 11% of $115 is $12.65, it is convenient to pay the flat fee of $12.
Learn more in https://brainly.com/question/25206811
A customer buys
3
shirts that cost
$
10
each. The store is having a sale for
15
%
off, and the sales tax is
6
%
. The store applies discounts before applying the sales tax to a customer’s total.
What is the customer’s total after the discount and sales tax are applied, in dollars and cents?
Answers
Answer:
4.77
Step-by-step explanation:
3 x 10 = 30
30 % 15 = 4.5
4.5 % 6 = 0.27
0.27 + 4.5 = 4.77