Find the coordinates for B, C, and D. Note line 1 must be perpendicular to line 2.
Answers
Answer:
B = (-b, a)
C = (a, 0)
D = (-b, 0)
Step-by-step explanation:
Line 1(L₁) passes through the point O(0, 0) and A(a, b). Hence the equation of L₁ is:
[tex]y-y_1=\frac{y_2-y_}{x_2-x_1}(x-x_1) \\\\y-0=\frac{b-0}{a-0} (x-0)\\\\ay -bx=0[/tex]
Point C has the same x coordinate as point A. Since point C is on the origin line (y = 0 line), its y coordinate is 0.
The coordinate of C = (a, 0)
L₁ has a slope of b/a. Since L₂ is perpendicular to L₁, the product of their slope is -1. Hence slope of L₂ = -a/b
L₂ has a slope of -a/b and pass through the origin. The equation of L₂ is:
[tex]y-y_1=m(x-x_1)\\\\y-0=\frac{-a}{b}(x-0)\\\\y= \frac{-a}{b}x[/tex]
But OD = AC
AC = b
Hence OD = AC = b
The y coordinate of D is 0. Let its x coordinate be -x. Hence D = (-x, 0)
[tex]OD=\sqrt{(-x-0)^2+(0-0)^2} \\\\OD=x\\\\OD=x=b\\\\x=b;-x=-b[/tex]
The coordinate of D is (-b, 0)
B has the same x coordinate as D. The y coordinate of B is gotten by using L₂ equation and substituting x = -b
y = (-a/b)(-b)
y = a
Coordinate of B = (-b, a)
Related Questions
25 points True or False.
The expressions 4(y−3)
and 4y−12
are equivalent?
Answers
Answer: true
Step-by-step explanation:
Simplifying the expression you end up with 4y^2 + 4y - 15 which is 3 terms.
The answer would be True.
Tony works 22 hours per week. His take home pay is $15.80 per hour. If Tony is able to save all of his earnings, how
long will it take him to save at least $4,800?
a. 12 weeks
b. 13 weeks
C. 14 weeks
d. 15 weeks
Please select the best answer from the choices provided
Answers
Answer:
Step-by-step explanation:
The answer is c.
Answer: letter C. 14 weeks
How would I solve this ? And what’s the answer..... ;\
Answers
Explanation:
So for any problems like these
They are giving you the ‘x’
So you plug in what is given; which is f(5)
1/4 x 2^5
Solve like normal
Which gets you 8
Use the distributive property to simplify the following expression: 3 (2 + 5z)
Answers
Help for brainiest! and thanks!
please comment reasoning and how you got it
Answers
Answer:
A.
Step-by-step explanation:
Formula for volume is: Length x width x height.
5 x 8 x 1.5
Therefore, your answer is 60 ft^3.
answer:
60 ft
step-by-step explanation:
first we need to know the formula on how to volume for rectangular prism get our answer, which is
length × width × height
and for this problem, thoses number would have to be
1.5 * 5 * 8
and honestly it doesn't really matter on which number we multiply first but i usually do left to right
1.5 * 5
= 7.5 feet
then we just need to multiply the left over numbers
7.5 * 8
= 60 feet
which is on the the choices for answers and also our answer!
if you wanted to double check it ( or your teacher makes you ) just divide our answer by any one of the three numbers from the start
60/8
= 7.5
then we do that step once again but instead we just use the answer ( 7.5 ) we had just gotten
7.5/5
= 5
and again it doesnt really matter which of the three numbers you use but never use the same numbers twice ( unless it shows up twice in the problem )
i hope this helps you, if you needed anymore help on this you can always ask me! :)
A circle of sunflowers is planted in Stanford's central Park. The circle has a diameter of 12 feet. What is the circle's radius?
Answers
Answer:
Step-by-step explanation:
radius = ½×diameter = 6 ft
WILL MARK BRAINLIEST
Answers
Answer:
Step-by-step explanation:
∠T + ∠S = 180°
(43+3x) + (45x-7) = 180°
48x+36 = 180
x = 3
∠C = ∠T = 43+3x = 52°
What do I do from here?
Answers
49627/28000 or you can use the decimal 1.77
Step-by-step explanation:
28x=49.627
divide both sides by 28
You are given the difference of the numbers of boys and girls in a class and the ratio of boys to girls. How many boys and how many girls are in the class?
3 more boys; 5 for every 4
Answers
By using the given ratio, we will see that there are 15 boys and 12 girls.
How we can find the number of boys and girls in the class?
The given information is:
There are 3 more boys.There are 5 boys for every 4 girls.Now, notice that in the ratio we have a difference of 1 boy, so if we want to have a difference of 3 boys, we must multiplicate it by 3, then we get:
3*15 boys for every 3*4 girls (remember that you can multiply both quantities on the ratio and it does not change).
15 boys for every 12 girls.
Now the difference is 3.
15 - 12 = 3
So we can conclude that there are 15 boys and 12 girls.
If you want to learn more about ratios, you can read:
https://brainly.com/question/1781657
1489.45 Round this number to two decimal places
Answers
i dont know sd f g d g g
What is the value of c so that −15 and 15 are both solutions of x^2−c=157?
Answers
Answer: -c= 157+X^2
Step-by-step explanation:
who's has the most money in the world
Answers
Answer:
Jeff Bezos
Step-by-step explanation:
He is the amazon founder and CEO, He has a net worth of 193.4 billion and ranks the first richest person on earth today
What Is 1 x 2 x 3 x 4 x 5/2
Answers
Answer:
60
Step-by-step explanation:
Please refer to the attachment
Please help, thank you.
Simply:
Answers
Answer:
(-9 3/4)a + 10 2/5
Step-by-step explanation:
hey can you mark me brainliest if this is correct. Bc if its wrong, its very obvious why
A television is discounted 20% in a sale. A shopper has a coupon for an additional 15% off the sale price. Which of the following is the total percent discount from the original price of the television?
Answers
Step by step explanation:
If the television is discounted by 20% in a sale and the shopper also has a coupon for an additional 15% of the sale price than you just add up the percentages and that’s the total percent of the discount.
I hope this helped you understand! :)
The total percent discount arises from the real price of the television is 32%.
Given that,
The television should be discounted at 20% in the sale i.e. price after discount should be 0.80 of the real price There is an additional 15% off the sale price. So, 15% of 80% i.e. 12%.So, the total percent discount should be
= 20% + 12%
= 32%
Therefore we can conclude that The total percent discount arises from the real price of the television is 32%.
Learn more about the discount here: brainly.com/question/2736271
scribe two different methods to find the elapsed time from 2:30 p.m. to 2:58 p.m.
Answers
Answer:
28 minutes
Step-by-step explanation:
First Method
You can do normal subtract
[tex]2.58 \\ 2.30 \\ 0.28[/tex]
2:58 - 2:30 which is equivalent to 0.28 which means 28 minutes.
Second Method.
2:58
58minutes to hour = 58/60
2:30
30minutes to hour = 30/60
58/60 - 30/60
28/60 hour
0.4667 hour or 28 minutes.
Rackham Graduate School has 8,000 students (5,000 PhD students and 3,000 masters stu- dents). The Rackham Student Government Executive Board has 4 student members: a President, a VP of Operations, a VP of Finance, and a VP of Administration. Reminder: no need to simplify your answers in this homework (unless problem explicitly says to).
a) How many ways are there to choose the Exec Board from all Rackham students?
b) How many ways are there to choose the Exec Board so that there is at least one masters student and one PhD student? (for any of the 4 positions)
c) How many ways are there to choose the Exec Board if the VP positions have to be PhD students (the president can be either a PhD or Masters student)?
d) How many ways are there to choose the Exec Board so that there is at least one masters student VP?
Answers
Answer:
a) 8,000!/(8000 - 4)! ways
b) 15,000,000 + 7998!/(7998 - 2)! ways
c) 5,000 + 7,999!/(7,999- 3)! ways
d) 3,000 + 7,999!/(7,999- 3)! ways
Step-by-step explanation:
The number of students at Rackham Graduate School = 8,000 students
The number of PhD students = 5,000
The number of masters students = 3,000
The number of student members of the Rackham Student Government Executive Board = 4 students
a) The number of ways there are to choose the Exec Board from all Rackham students = The number of ways to choose 4 students from 8,000 = 8,000!/(8000 - 4)!
b) The number of ways of having one Master student in the board = 3,000 ways
The number of ways of having one PhD student in the board after selecting a masters student = 5,000 ways
The number of ways of selecting the remaining 2 members =
7998!/(7998 - 2)!
The total number of ways of selecting at least one masters and one PhD in the board is therefore equal to 5,000 × 3,000 + 7998!/(7998 - 2)! ways
c) The number of ways of choosing the VP position as PhD = 5,000 ways
The number of ways of choosing the other three members = 7,999!/(8000 - 3)!
Therefore, the total number of ways = 5,000 + 7,999!/(7,999- 3)! ways
d) The number of ways of choosing a masters student as the VP position = 3,000 ways
The number of ways of choosing the other three members = 7,999!/(8000 - 3)!
Therefore, the total number of ways = 3,000 + 7,999!/(7,999- 3)! ways
solve the equation. Round your awnser to the nearest hundreth. -40=4+1.86u
Answers
Answer:
I dont know if this is right but
U =-24
Which point is the incenter of the triangle?
Question 9 options:
A)
I
B)
G
C)
D
D)
F
Answers
Answer:
C): D
Because you can easily see D is center of Incircle.
Rico spent $44 on 8 toy cars. If each toy car cost the same amount of money, how much did each car cost?
Answers
Answer:
$5.5
Step-by-step explanation:
Divide 44 into 5 to get what each car costs!
Answer: $5.50
Step-by-step explanation: 44 / 8 = 5 R5 = $44.00/ 8 = $5.50
A rectangle and 2 congruent quarter circles were
used to make the figure shown.
Which measurement is closest to the area of the
figure in square centimeters?
7 cm
A 148.5 cm2
110 cm
(В
109.3 cm2
5 cm
C 89.6 cm2
5 cm
D 85.7 cm2
Answers
What is the determinant of H
asap
Answers
Answer:
H = 15
Step-by-step explanation:
If you need an explnation, I can provide it if needed! Cheers!
hunh put $3000 into savings account that earns at yearly interestvrate of 6%. after sux years hiw much money will hunh have.
please helppp me
Answers
Answer:
$4080Step-by-step explanation:
It is assumed this is a simple interest
P = $3000r = 6%t = 6 yearsA = P(1 + rt)A = 3000 (1 + 6*6/100) = $4080Answer:
$4080
Step-by-step explanation:
I = Prt
I = 3000 (0.06) (6)
I = $1080
-------------------------------
A.B = P + T
A.B = 3000 + 1080
A.B = $4080
The Account balance is $4080
13.) If ABCD is a parallelogram, find the measure of angle D?
B-C:
(9x - 1)
D-A:
(13x - 25)
Answers
Answer:
13x-25 = 9x-1
4x-25=-1
4x=24
x=6
9(6)-1 = 54-1 = 53
So, angle d is 180-53 or 127 degrees.
Let me know if this helps!
Answer:
d=127
Step-by-step explanation:
I took the test
Using what you know about angles and triangles, what is the measure of angle 6?
Answers
Please !!!!!
The diagonal of a
rectangle is 8 cm
long and the height
of the rectangle is 5
cm. Find the width of
the rectangle:
Answers
5^2 + x^2 = 8^2
25 + x^2 = 64
X^2 = 39
X = sqrt39
I need help please.
Answers
Jose Luis desea colocar una línea de azulejos alrededor de toda la piscina de su casa. La piscina tiene forma rectangular con un ancho de 10 m y una longitud de 25 m. , ¿cuántos metros lineales de azulejos necesitará comprar?
Answers
Answer:
70
Step-by-step explanation:
2 x (25 + 10) = 2 x 35 = 70
Find the zero of the function:
y= x^2 - 4x - 3
Answers
Answer:
2 or positive
Step-by-step explanation:
2 x-intercepts
Select the correct answer. Sarah owns a flower shop and can model the profits from selling springtime bouquets using this equation, where b is the number of springtime bouquets. P = -5b^2 + 450b - 1,000
Which statement is true if Sarah needs to make a profit of at least $9,000?
A. Sarah must sell more than 90 bouquets.
B. Sarah must sell between 40 and 50 springtime bouquets.
C. Sarah must sell between 0 and 40 springtime bouquets.
D. Sarah must sell more than 50 springtime bouquets.
Answers
Answer:
B
Step-by-step explanation:
If you plug in the answers for guess and repeat this one works.
The correct statement is Sarah must sell between 40 and 50 springtime bouquets true if Sarah needs to make a profit of at least $9,000.
Given that,
Sarah owns a flower shop and can model the profits from selling springtime bouquets using this equation,
Where b is the number of springtime bouquets, [tex]P = -5b^2 + 450b - 1,000[/tex].
We have to determine,
Which statement is true if Sarah needs to make a profit of at least $9,000.
According to the question,
Sarah owns a flower shop and can model the profits from selling springtime bouquets using this equation,
[tex]P = -5b^2 + 450b - 1,000[/tex]
Divide the equation by -5,
[tex]P = -5b^2 + 450b - 1,000\\\\P = -b^2 + 90b - 200[/tex]
Factorize the equation for the value of profit,
[tex]b^2 - 90b +200 = 0\\\\b^2 -50b -40b +200= 0\\\\b ( b-50) - 40(b-50) = 0 \\\\(b-50) (b-40) = 0 \\\\b- 50 = 0, \ b = 50\\\\b - 40 = 0, \ b = 40[/tex]
Hence, Sarah must sell between 40 and 50 springtime bouquets.
To know more about Quadratic equations click the link given below.
https://brainly.com/question/22364785