what equation represents the road that passes through the point shown and is perpendicular to the road represented by the red line
Answers
Answer: The equation that represents the road is y= - 1/3x +1/3
Step-by-step explanation:
The perpendicular equation that represents the road that passes through the point is [tex]\mathbf{y = -\frac 13x + \frac 13 }[/tex]
The points of the red line (see attachment) are given as:
[tex]\mathbf{(x,y) = (0,2), (2,8)}[/tex]
Start by calculating the slope (m) of the line using:
[tex]\mathbf{m = \frac{y_2 - y_1}{x_2 -x_1}}[/tex]
So, we have:
[tex]\mathbf{m = \frac{8 - 2}{2 -0}}[/tex]
[tex]\mathbf{m = \frac{6}{2}}[/tex]
[tex]\mathbf{m = 3}[/tex]
Next, calculate the slope (m2) of the perpendicular line using:
[tex]\mathbf{m_2 = -\frac 1m}[/tex]
So, we have:
[tex]\mathbf{m_2 = -\frac 13}[/tex]
The perpendicular line passes through point (1,0).
So, the line equation is calculated using:
[tex]\mathbf{y = m_2(x - x_1) + y_1}[/tex]
This gives
[tex]\mathbf{y = -\frac 13(x - 1) + 0}[/tex]
[tex]\mathbf{y = -\frac 13(x - 1) }[/tex]
Open bracket
[tex]\mathbf{y = -\frac 13x + \frac 13 }[/tex]
Hence, the line equation is [tex]\mathbf{y = -\frac 13x + \frac 13 }[/tex]
Read more about perpendicular equations at:
https://brainly.com/question/21740769
Related Questions
A squirrel is 1.1 feet tall. The squirrel shrinks to 1/10 of its height. How tall is the squirrel now? (This is an easy question for 10 points)
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Answer:
the answer to the question is 0.11
8+x>3x the sum of x plus 8 is greater than 3 times x
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Answer:
x<4 (assuming you're supposed to find x)
Step-by-step explanation:
8+x>3x
8>2x
4>x
Please help me i have only 2 min to solve this
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Answer30,082:
Step-by-step explanation:
Danielle sells lemonade and orange juice. Each glass of lemonade $3. Each glass or orange juice $2. She writes the number patterns to represent the costs. Which describes the costs of the drinks?
Lemonade: 0, 3, 6, 9, 12, 15..
Orange juice:0, 2, 4, 6, 8, 10..
A. Each glass or lemonade costs $1.50 more than glass or orange juice.
B. Each glass of lemonade costs 1 1/2 times the cost of each glass of orange juice.
C. Each glass of orange juice costs 1 1/2 times the cost of each class glass or lemonade
D. Each glass of orange juice costs $2.00 less than each glass of lemonade
Answers
Answer:
B
Step-by-step explanation:
3 / 2 = 1.5
In 12 years Pete will be three times as old as he was 16 years ago. How many years old is
Pete today
Answers
Answer:
Pete would be 36 years old.
Step-by-step explanation:
The equation is 16 x 3 = 48 then you should just do 48 - 12 which gives you 36.
Jesus Christ had dreads so shake em', I ain't got none but I'm planning on growing some
Answers
Answer:
ok................
Step-by-step explanation:
Answer:
Go for it?
Step-by-step explanation:
Also thanks for the points! Have a great day :D
Help! Quick
25 + (–17) + 16 + ______ = 0
Answers
Explanation: 25+(-17)= 25-17
25-17=8
8+16=24
0-24=-24
____=-24
49 x 17 + 49 x3 distributive law
Answers
Answer:
49(17+3) =980
Step-by-step explanation:
49*17+49*3
49(17+3)
49*20
980
Which of the following is perfect square trinomial. Ive asked 4 times. Please Help. Will give brainlilest
Answers
Answer:
D
Step-by-step explanation:
a perfect square trinomial is
[tex]a^2x^2\pm2(ab)xy+b^2y^2[/tex]
factorized is
[tex](ax\pm by)^2[/tex]
so as you can see option A and B can't be, because they have -49y^2 and it has to be plus
so the other options are C and D
in the trinomial a=4 and b=\pm 7
the roots of a^2 and b^2
[tex]\pm2abxy=\pm2(4)(7)xy\\\\=\pm56xy[/tex]
so it's option d with b=-7
[tex]16x^2-56xy+49y^2[/tex]
the ratio of fish to snails in an aquarium is 3 to 2. There are 18 fish in the aquarium. How many snails are in the aquarium?
Answers
12 snails, give me brainliest pls
Answer:
12 is the correct answer
Step-by-step explanation:
The first ones to sovle this wins a brainliest! Explain your answer!
Answers
Answer: 36 times
Step-by-step explanation: 54 divided by 12 is 4.5 so he makes 4.5 every time so if he went for 8$ he would get 36 because 4.5 times 8 equals 36 so he will drive around the track 36 times and make 8$
What is a sensory detail?
1 a detail that doesn't have much of an effect on the reader
2 a detail that helps a reader imagine how something looks, sounds, smells, tastes, or feels
3 a detail that makes sense where it is placed in a story
4 a detail that makes you wonder what something actually looks like
Answers
Bowl B1 contains two white chips, bowl B2 con-tains two red chips, bowl B3 contains two white and two red chips, and bowl B4 contains three white chips and one red chip. The probabilities of selecting bowl B1, B2, B3, or B4 are 1/2, 1/4, 1/8, and 1/8, respectively. A bowl is selected using these probabilities and a chip is then drawn at random. Find (a) P(W), the probability of drawing a white chip. P(B1 I W), the conditional probability that bowl B1 had been selected, given that a white chip was drawn.
Answers
Answer:
By using law of total probability:
P(W) = ∑i P(Bi ) P(W/Bi)
=1/2 .1 + 1/4 .0 + 1/8 .1/2 + 1/8 .3/4
=1/2 + 0 + 1/16 + 3/32
= 21/32
= 0.656
Step-by-step explanation:
B1 contains = two white chips
B2 contain = 2 red chips
B3 contain = 2 white and 2 red chips
B4 contains = 3 white chips and 1 red chips
P(B1) = 1/2
P(B2) = 1/4
P(B3) = 1/8
P(B4) = 1/8
Probability of drawing white chips:
P(W / B1) = 2. 1/2 = 1
P(W/B2) = 0/2 = 0
P(W/B3) = 2/4 = 2
P(W/B4) =3/4
By using law of total probability:
P(W) = ∑i P(Bi ) P(W/Bi)
=1/2 .1 + 1/4 .0 + 1/8 .1/2 + 1/8 .3/4
=1/2 + 0 + 1/16 + 3/32
= 21/32
= 0.656
what’s the answer smh
Answers
Step-by-step explanation:
no.C I think?............
Evaluate this expression (6 x 10³) ÷ (3 x 10²) Express your answer in scientific notation.
HELPPPP
Answers
9514 1404 393
Answer:
2×10¹
Step-by-step explanation:
For division, mantissas divide, and exponents subtract.
[tex]\dfrac{6\times10^3}{3\times10^2}=\dfrac{6}{3}\times10^{3-2}=\boxed{2\times10^1}[/tex]
Simplify and divide the following radical expression: 7/ 8√7
Answers
Answer:
Answer:
3
√
5
5
Step-by-step explanation:
the length of a rectangle is 6 inches longer than its width. If the perimeter of the rectangle is 48 inches, find its area
Answers
Explanation: The width of the rectangle is x+6 units.
The length of the rectangle is x units.
The perimeter is P = 2l + 2w
This implies:
36 = 2(x+6) + 2x
Expand;
36= 2x + 12 +2x
Group like terms;
2x + 2x = 36 - 12
4x = 24
x = 6
58+20 equals please help me
Answers
Answer:
78
Step-by-step explanation:
Answer:
78
Step-by-step explanation:
50+20=70+8=78
or 58+20=78
A store sells a set for $25.00 and offers a 10% discount. How much is the set?
Answers
if a person has 35 marbles and 27 of them are red then how manny other marbles r not red?
Answers
Answer:
So, the equation would be 35-27 which = 8
Step-by-step explanation:
Write about a real-life situation that could be described with the expression 1286 +953.
Answers
Julie wants to go to a theme park, so she starts a lemonade stand to make extra money. On Saturday, it's really hot, and several people buy lemonade, so she makes a total of $1,286. On Sunday, it's raining, so she only makes $953. How much money did Julie make from selling lemonade?
8+2x=2x+8 which property is it
Answers
Answer:
Answer is 0
Step-by-step explanation:
Answer:
Commutative property
Step-by-step explanation:
This is because, when two numbers / variables are being added (Or even multiplied) they are commutative which means that the order of the numbers can be changed.
If my answer helped, kindly mark me as the brianliest!!
Thank You!!
2 consecutive even integers have a quotient of 1.2 Write an equation to find the numbers.
Answers
Answer:
Step-by-step explanation:
Solve it your self dummy
Graph the line passing through (2,-5)whose slope is m=1/2
Answers
9514 1404 393
Answer:
see attached
Step-by-step explanation:
If you're graphing by hand, plot the point (2, -5), then draw a line through it with a slope of +1/2. Such a line will have a rise of 1 unit for each run of 2 units to the right. That is, (2, -5) +(1, 2) = (3, -4) will be another point on the line. You can draw the line through these two points.
__
When you are given a point and a slope, it is convenient to know the point-slope form of the equation of a line:
y -k = m(x -h) . . . . . line with slope m through point (h, k)
Here, the equation can be ...
y -(-5) = (1/2)(x -2)
y +5 = (1/2)(x -2)
A graphing calculator can draw the graph of this very nicely.
Hey guys! I need help please
A football coach needed to divide 48 players into two groups.He want the ratio of group 1 to group 2 to be 1:3. How many players are in group 2 ? Can you please explain how you solved it? Thank you
Answers
Explanation: I took the ratio 1:3 and simply kept multiplying both side by a number until the numbers when combined equaled 48, I ended up with multiplying the sides each by 12, getting 12:36, 12+36=48. Hope this helps
What is the 9th term of 45,40,35,30,25
Answers
Answer:
5
Step-by-step explanation:
25 -5 - 5 -5 -5 -5 hope this helps
What value of n makes the equation 0.3(12 n-16)=0.4(12-3n) true
Answers
Answer:
n=2
Step-by-step explanation:
I believe that n= 2. please correct me if I am wrong.
Jillian’s school is selling tickets for a play. The tickets cost $10.50 for adults and $3.75 for students. The ticket sales for opening night totaled $2071.50. The equation 10.50 a plus 3.75 b equals 2071.50, where a is the number of adult tickets sold and b is the number of student tickets sold, can be used to find the number of adult and student tickets. If 82 students attended, how may adult tickets were sold? adult tickets
Answers
Answer:
168 adult tickets
Step-by-step explanation:
3.75(82) (82 students)
307.5
2071.5 - 307.5 ( you subtract since you only need to know the number of adults)
1764
1764/10.5 (you divide since each adult is 10.5$)
168
The number of adult tickets sold was 168.
Given that, the tickets cost $10.50 for adults and $3.75 for students. The ticket sales for opening night totaled $2071.50.
Total number of students =82
What is the system of equations?In algebra, a system of equations comprises two or more equations and seeks common solutions to the equations. "A system of linear equations is a set of equations which are satisfied by the same set of variables."
a is the number of adult tickets sold and b is the number of student tickets sold.
Now, 10.50a+3.75b=2071.50
Put b=82 in the equation 10.50a+3.75b=2071.50 and simplify.
10.50a+3.75×82 =2071.50
⇒10.50a+3.75×82 =2071.50
⇒10.50a+307.5 =2071.50
⇒10.50a=1,764
⇒a=168
Therefore, the number of adult tickets sold was 168.
To learn more about an equation visit:
brainly.com/question/15707224.
#SPJ2
I don't understand these 2 problems, can someone help me please
Answers
Answer:
32 servings of cake
Step-by-step explanation:
so you are trying to figure out how much cake you can make if each box makes 12 servings
you have 8 eggs
2 cups of oil
4 boxes of cake mix
unlimited water
so each box needs 1/3 cup of oil, 3 eggs, and 1 cup of water.
you only have enough eggs to make 2 and 2/3 boxes of cake.
this means that you can make 32 servings of cake.
If an object fell to the ground from the top of a 1,600-foot-tall building at an average speed of 160 feet per second, how long did it take to fall?
10 seconds
16 seconds
100 seconds
160 seconds
Answers
Answer:16 I think
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
i took the test