Answers
Given :-
Line p has an equation of y = 5/3x - 4 .Line q includes point (-10,-3) and is perpendicular to the line p .To Find :-
The equation of line q .Solution :-
The equation of the line p is ,
[tex]\sf\blue{\longrightarrow}[/tex] y = 5/3x - 4
On comparing to slope intercept form of the line which is y = mx + c , we have ,
[tex]\sf\blue{\longrightarrow}[/tex] m = 5/3
Now as we know that the product of slopes of two perpendicular lines is -1 . So the slope of the perpendicular line will be ,
[tex]\sf\blue{\longrightarrow} m_{\perp} = -3/5[/tex]
Now here the line q passes through the point (-10,-3) . So on using the point slope form of the line we get ,
[tex]\sf\blue{\longrightarrow} y - y_1 = m(x-x_1)[/tex]
[tex]\sf\blue{\longrightarrow}[/tex] y - (-3) = -3/5[ x-(-10)]
[tex]\sf\blue{\longrightarrow}[/tex] y +3 = -3/5(x+10)
[tex]\sf\blue{\longrightarrow}[/tex] y+3 = -3/5x - 6
[tex]\sf\blue{\longrightarrow}[/tex] y +9 = -3/5x
[tex]\sf\blue{\longrightarrow}[/tex] y = - 3/5x - 9
Hence the required answer is y = -3/5x - 9 .
Answer:
For Perpendicular lines you have to know
Step-by-step explanation:
Slope of P ×slope of q=-1 (always since they are perpned..)
so as P has the slope 5/3 in order to optain - 1 the slope of q should be negative of the inverse of p
so q solpe =-3/5 then lets try (5/3)×(-3/5)? =-1 yes
And be aware that you have to know the formula of straight line : y-ypoint=slope(x-xpoint) or y=ax+b
so y+3=-3/5(x+10) ===> y=-3/5x - 30/5 - 3
uniting the denominater ==>y=-3/5x - 45/5
so that q equation is :y=-3/5x - 9
Related Questions
simplify 7^2 • 7^6 =
Answers
Explanation: just add the exponent if you are multiplying two things with the same base
A sheet of plastic is 0.12 cm thick. The sheet of plastic is folded so that the folded sheet is twice as thick after each fold.
2. How thick will it be after 3 folds?
1. What is the least number of folds you have to make before the folded plastic is thicker than 3.6 cm?
Answers
Answer:
1. the plastic will be 0.48 cm thick after 3 folds
Step-by-step explanation:
a) Given that sin x =cos x , find the value of tan x .
b) Find the values of x in the interval 0≤x<360 for which sin x =cos x .
Answers
[tex](a)\\\\\text{Given that, sin x = cos x }\\\\\text{So,} ~ \tan x = \dfrac{\sin x}{\cos x} = \dfrac{\sin x}{\sin x} = 1\\\\\\(b)\\\\\text{Given that,}\\\\\sin x = \cos x\\\\\implies \dfrac{\sin x}{\cos x} =1\\\\\implies \tan x =1\\\\\implies x = n\pi + \dfrac{\pi} 4 \\\\\text{For interval}~ [0, 2\pi),}\\\\x= \dfrac{\pi}4, \dfrac{5\pi}4~~;[\text{When n = 0,1}]\\\\\text{In degrees,} ~ x= 45^{\circ} , 225^{\circ}[/tex]
how do i do this?? any answers pls
Answers
Step-by-step explanation:
In the given problem, there are two plans that can be represented with a linear function.
Plan A:A = total monthly cost of Plan A for every x number of movies that Sadie watches per month
Slope: $3 = The additional cost for every x number of movies watched per month
Y-intercept: $21 = The monthly cost of Plan A
Combining these elements together, we can establish the following linear function: A(x) = 3x + 21
Plan B:B = total monthly cost of Plan B for every x number of movies that Sadie watches per month
Slope: $1.50 = The additional cost for every x number of movies watched per month
Y-intercept: $27 = The monthly cost of Plan B
Combining these elements together, we can establish the following linear function: B(x) = 1.5x + 27 or [tex]\displaystyle\mathsf{B(x)\:=\:\frac{3}{2}x\:+\:27}[/tex].
Graphing:Plan A:In order to graph Plan A, start with plotting the y-intercept, (0, 21). The y-intercept is the point on the graph where it crosses the y-axis. Then, use the slope, m = 3 (rise 3, run 1), to plot the other points on the graph.
Plan B:Similarly for Plan B, start with plotting the y-intercept, (0, 27).
Then, use the [tex]\displaystyle\mathsf{slope (m)\:=\:1.5\:or\:\frac{3}{2}}[/tex] (rise 3, run 2), to plot the other points on the graph.
Attached is the graphed linear functions, A(x) and B(x). The two lines intersect at point, (4, 33), which means that the total cost of Plans A and B will be the same at $33.
Interval of movies watched:The attached graph also shows that when 0 ≤ x < 4, Plan A is cheaper than Plan B. The interval notation is: [0, 4).
This implies that when Sadie watches 0 - 4 movies per month, she will pay lesser in Plan A than Plan B.
Is that correct? I don’t think it is, can someone tell me the answer
Answers
It is right but what's the full question
Pls help: Write 2^100 as a power with the following base. For example: 4^50
1)16 2)32 3)1024
Answers
[tex]2^{100} = 16^{25} =32^{20} =1024^{10}[/tex]
P/s: [tex]2^{100} = 2^{4.25} =16^{25}[/tex] ......
ok done. Thank to me :>
The area of a square depends on the length of its sides. This can be written in function notation as a(s). What is the best interpretation of a(4) = 16?
A. The area of a square is always one-fourth of the side length.
B. The area of a square is always four times the side length.
C. A square with sides 4 units long has an area of 16 square units.
D. A square with sides 16 units long has an area of 4 square units.
Answers
Answer:
option d is the right answer
how many solutions does the following system of equations have: 3x−2y=−7 4y=9−6x
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this equation is error because of -7and 4y two this is not have + or - that's why
Can i get some help ::
Answers
Answer:
last option
...................................
Describe the error in finding the measure of the angle.
Answers
please i need help ASAP!!!
Answers
hope it help u
Noah and his dad went out for lunch. Their meal cost $32. The sales tax rate is 8%. Noahś dad left a 15% tip on the $32. How much did they pay in total
Answers
Answer:
$39.36
Step-by-step explanation:
Can find how much the sales tax cost:
32 x 0.08 = $2.56
Can also find out how much he tipped:
32 x 0. 15 = $4.80
Total = $32 + sales tax + tip
Total = $32 + $2.56 + $4.80
Total = $39.36
Answer:
$39.36 in total
Step-by-step explanation:
32×0.08= 2.56
32×0.15= 4.8
4.8+2.56= 7.36
32+7.36=39.36
At a football stadium, 10% of the fans in attendance were teenagers. If there were 30 teenagers at the football stadium, what was the total number of people at the stadium?
Insert the values given in the problem then scale up or down to find the missing value.
Answers
Answer:
i believe the answer to this is a total of 300 people because you multiply the ten percent into the 30 people which factors out some numerical values, so then your answer as i just said is 300 people in total attended the game.
Step-by-step explanation:
whadt is the first and second quotient of 1178 divided by 31
Answers
Answer:
its 38
Step-by-step explanation:
use a calculator like i did :)
What angle are these?
Answers
Answer:
Corresponding Angles and Alternate Exterior
Step-by-step explanation:
The angles are corresponding if same side in a parallel.
This is because as the lines are parallel to one another that means that the next following angle measure is the same in approach.
For the other problems if they are opposite sides from one another.
They are called alternate exteriors.
What does pie mean?
I forgot ; )
Answers
Answer:
pie means 3.142
Step-by-step explanation:
Answer:
In decimal form, the value of pi is approximately 3.14. It looks like this π.
Hope that helps. x
I NEED HELP PLEASE will give crown
Answers
Answer:
hey. use cymath. its easier and youll me able to answer more questions like this. it also shows you the whole process. here look:
Step-by-step explanation:
Solve for x plsss I need the answer ASAP plsss
Answers
Answer:
106 degrees
Step-by-step explanation:
180 degrees in a triangle divided by three
60 minus 23 equals 37
37 times 2 is 74
180 minus 74 equals 106
Hope it's right :)
HELP, ILL GIVE BRAINLST
Imagine that you have been asked to do an infomercial for a new sous vide tool. You are instructed to not only explain how the tool works but what some of the benefits of this cooking method are. Write a brief script that you could use for this infomercial.
Answers
Answer:
Sous vide is the process of sealing some kind of protein in an airtight “vacuum” container and then submerging it in the water at a specific temperature. By sealing them up and dropping them in a large pot of water to cook, there is no fire, no heated metal, no steam, and no smoke. And oddly enough, the water never even comes to a full boil—it just rests at the exact temperature the protein needs to reach for “doneness.” It takes a little longer than some other methods, and it guarantees to never overcook the protein, which can be particularly wonderful if you like your steak with just that perfect amount of pinkness. Sous vide machines used to be specialized equipment for fancy restaurants, but not anymore. These days, a lot of home cooks use small, affordable pots with the exact same cooking power. If you’re having friends over for dinner, sous vide makes pre-party prep a whole lot easier, plus sealed proteins can be kept in the fridge for at least one week. It also guarantees you will never overcook that $30 filet mignon again or stand over a hot stove when you’d rather be doing something else. And because the slowness of sous vide method allows fibers within the protein to contract more slowly, the meat stays juicier.
Step-by-step explanation: Hope this helps
What is the value of x
Answers
Answer: your answer is 36.3 cause it's half of 72.6.
Step-by-step explanation:
a man who is 1.6 m tall observes the angle of elevation of the top of a tower is 45°.if the height of the tower is 21 m,find the distance between the man and the tower.
Answers
Step-by-step explanation:
hope it will help you.....
Gwen, Tristan, and Keith like to work out at the gym. They each have an app on their phone that estimates the calories they burn. By the time Tristan and Keith started exercising, Gwen had already burned 100 calories. Gwen burns 10 calories every minute, Tristan burns 125 every 10 minutes, and Keith burns 300 calories every 30 minutes. Let x represent the number of minutes since Tristan and Keith started exercising and y represent the number of app-estimated calories burned.
Answers
Answer:
Part A:
Gwen has already burned 100 calories when Tristan and Keith started, and he continues to burn 10 calories per minute. The equation for Gwen is
y = 100 + 10x
Part B:
Tristan is burning 125 calories every 10 minutes. His burning calories rate is 12.5 calories per minute. The equation for Tristan is
y = 12.5x
Part C:
Keith is burning 300 calories in 30 minutes. His rate per minute is 10 calories per minute. The equation for Keith is
y = 10x
Part D:
Just follow the instructions and do the thing for the app. You can then answer the questions it is very easy.
Part E:
Do the same for E after you do Part D.
Step-by-step explanation:
Hope it helps!
Answer: ?
Step-by-step explanation:
Your family took a road trip to Disneyland. For a part of the drive, your family drove 70 miles per hour for 4 hours. How far did your family drive for that portion of the trip?
Answers
Based on these calculations of driving 70 miles per hour for 4 hours, you must multiply 70 by 4.
70 x 4 = 280
For four hours of driving, the family drove 280 miles.
Explanation:
If they’re going 70 miles every 1 hour, then just multiply that by the number of hours they travel.
70 * 4 = 280 miles in 4 hours
What is the slope of the line in this graph?
Answers
The slope of the line 5/7.
How do i know this?
Well the slope of a line is considered as rise/run.
So we start at the beginning and then go up until the line intersects a corner again. Then we mark that down.
Go back to the beginning and count how many times it takes to reach the height of the intersected corner. So it is 5.
Then we go to the right until we reach the point. And it takes 7 squares to reach it, so the slope it 5/7.
Your welcome! :D
The US Constitution originally said that senators would be selected by state legislatures. Per the terms of the 17th Amendment, senators are now elected directly by the citizens of their respective states.
The party balance in the 115th Congress (2017–19) is 51 Republicans, 47 Democrats, and 2 independents, who caucus with the Democrats. As of January 2018, Republicans had control of the legislatures of 31 states; Democrats had control in 14; control was split in 4; and Nebraska was officially nonpartisan.
Develop an argument for or against repealing the 17th Amendment.
In your essay, you must:
articulate a defensible claim or thesis that responds to the prompt and establishes a line of reasoning.
use your knowledge of federalism, the constitutional position of the US Senate, partisan politics, checks and balances, voting rights, and the history of redistricting or gerr
Answers
Based on the provisions of the 17th Amendment, we can see that the provisions of the United States Constitution gave the people the right to vote for their senators who would represent their interests instead of the state legislature.
With this in mind, we can see that if the seat of a senator is unoccupied, then the governor of the state can make his appointment of a senator.
Based on the given data on the party balance of the US Senators, it is still not enough reason to repeal the 17th Amendment because giving the people the right to choose their representatives is still the core value of democracy which should never be tampered with.
Read more about the 17th Amendment here:
https://brainly.com/question/7926023
If the radius is 18 cm and the angle at centre of circle is 120° then the
area of sector is? Use pi as 3.142 *
Answers
The area of a sector is 339.336 cm²
The area of a sector is defined to be as the region of space bounded by a boundary from the center of the circle.
It can be determined by using the formula:
[tex]\mathbf{A = \dfrac{\theta }{360}\times \pi r^2 }[/tex]
Given that;
Radius r = 18 cmAngle θ = 120°Then. the area of the sector can be calculated as:
[tex]\mathbf{A = \dfrac{120}{360}\times \pi (18)^2 }[/tex]
[tex]\mathbf{A = \dfrac{1}{3}\times 3.142 \times 324 }[/tex]
A = 339.336 cm²
Learn more about the area of a sector here:
https://brainly.com/question/7512468?referrer=searchResults
John had one piece of rope that was 176 feet long. He cut the rope into as many 9-foot pieces as possible. The last piece of rope was less than 9 feet long.
Answers
Answer:
The ninth piece is 0.5 feet long
Step-by-step explanation:
176 divided by 9
Hope this helps!
ANSWerS AsaAP!!!!! ljDCSIHS
Answers
Answer: C. y=3x+4
Step-by-step explanation:
SInce the line crosses the y-axis at the point (0,4), and the line is positive since it is pointing upwards, and the slope of the line is 3 if you count up 3 over 1, the correct equation of the line is y=3x+4.
When X is equal to 1/2 what is the value of 8X -3 overX
Answers
x = 1/2
(8x-3) / x = 1 / (1/2) -> 1 x 2 = 2
So, when x = 1/2, (8x-3)/x = 2.
I have 2 apples. My sister takes away one. How many do i have left
Answers
Answer:
1 apple
Step-by-step explanation:
2-1=1
Have a great day or night wharever you are!
The number of apples you will have left if your sister takes away one is; 1 apple
SubtractionWe are told that you have 2 apples.
Now, if you have 2 it means that anyone taken away from you would be subtracted from the one that you have.
This means that;
Number of apples you have left if your sister takes one is; 2 - 1 = 1 apple.
Read more on subtraction at; https://brainly.com/question/17301989