The lines below are perpendicular. If the slope of the green line is ą, what is
the slope of the red line?
Answers
Answer:
See below
Step-by-step explanation:
If i recall right when two slopes are perpendicular one slope is supposed to be the negative reciprical of the other slope, because of this I think your answer should be B. -\frac{2}{3}
Hope this helps
The lines are perpendicular and the slope of the red line is m₂ = -2/3
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m₁ = 3/2
So , the slope of the green line is m₁ = 3/2
Since the lines are perpendicular to each other , the product of their slopes will be equal to -1
And , m₁ x m₂ = -1
So , ( 3/2 ) x m₂ = -1
Multiply by ( 2/3 ) on both sides , we get
m₂ = ( -2/3 )
Therefore , the slope of the red line is ( -2/3 )
Hence , the slope of the red line m₂ = ( -2/3 )
To learn more about equation of line click :
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The complete question is attached below :
The lines below are perpendicular. If the slope of the green line is 3/2 what is the slope of the red line?
Related Questions
Create a number pattern involving two operations. Explain your pattern.
PLEASE HELP THE ASSIGNMENT IS DUE IN AN HOUR
Answers
Answer:
sorry if this is too late
1 x 2 + 1 = 3
3 x 2 + 1 = 7
7 x 2 + 1 = 15
15 x 2 + 1 = 31
31 x 2 + 1 = 63
Step-by-step explanation:
Joel built a model town. He constructed three buildings that each had a volume of 18 cm cubed. Each building looked different. What might Joe's buildings have looked like?
Answers
Answer:
The three buildings can look like following:
1. The building can look like a cube, with each side and height equal to 2.62 cm.
2. The building can look like a cuboid, with 3 cm length, 1 cm breadth and 6 cm height.
3. The building can look like a pyramid, with 3 cm length, 3 cm breadth and 6 cm height.
Step-by-step explanation:
The three possibilities of the appearance or shape of the building, with the volume equal to 18 cm³ are as follows:
1. CUBIC SHAPE:
The building can look like a cube with the length of each side and height given as:
Volume of Cube = 18 cm³ = L³
L = ∛18 cm³ = 2.62 cm
Thus, the building can look like a cube, with each side and height equal to 2.62 cm.
2. CUBOID SHAPE:
The building can also look like cuboid with the following dimensions.
Length = 3 cm
Breadth = 1 cm
Height = 6 cm
Thus, the volume becomes:
Volume of Cuboid = Length * Breadth * Height
Volume of Cuboid = 3 cm * 1 cm * 6 cm = 18 cm³
Thus, the building can look like a cuboid, with 3 cm length, 1 cm breadth and 6 cm height.
3. PYRAMID SHAPE:
The building can also look like pyramid with the following dimensions.
Length = 3 cm
Breadth = 3 cm
Height = 6 cm
Thus, the volume becomes:
Volume of Pyramid = (Length * Breadth * Height)/3
Volume of Cuboid = (3 cm * 3 cm * 6 cm)/3 = 18 cm³
Thus, the building can look like a pyramid, with 3 cm length, 3 cm breadth and 6 cm height.
La maestra del quinto grado, que tiene 27 estudiantes, desea hacerles un regalo por el "Día del niño". Si adquirió una caja de bombones que contiene 81 unidades y regala 3 bombones a cada niño o niña, ¿alcanzarán los bombones para todos sus estudiantes?
Answers
Answer: Yes, it will be enough.
Step-by-step explanation:
I will answer this in English:
We have 27 students and 81 units, we want to give 3 units to each student.
This is only possible if the quotient betwen 81 and 3 must be bigger than 27.
Lets do it:
81/3 = 27
So we have exactly enough for the 27 students.
What is the measure of angle c?
Answers
Answer:
50 degrees
Step-by-step explanation:
Okay! So first off, because this is NOT a right triangle, we can't use soh cah toa. That means we can either use the law of sines or the law of cosines.
Because we only have sides here and no angles, we are forced to use the law of cosines.
c^2 = a^2 + b^2 − 2ab cos(C)
c = 6
b = 7.5
a = 6.5
36 = 6.5^2 + 7.5^2 - 2(6.5)(7.5)cos(C)
36 = 98.5 - 97.5cos(C)
-62.5 = -97.5cos(C)
0.641 = cos(C)
angle C = cos^-1(0.641)
angle C = 50.13 which is around 50 degrees
Remember! A dumb thing i always used to do in geometry was use radians instead of degrees, be sure to use degrees here because you are looking for degrees. Radians are for things involving not degrees, but PI.
Jamal asks his friend Sam, "How many days are in December?" Is this a statistical question? Why or why not?
Answers
Answer:
in total there are seven months with 31 days which means there are 31 days in december. It starts on the same weekday as September and ends on the same weekday as april every year.
This would not be a statistical question because it does not have varying data. An example would be: What is the typical number of pets owned by students in my class.
The y intercept is represented by what variable in the equation y=my+b
Answers
Answer:
b
Step-by-step explanation:
Answer:
The y-intercept is represented by the variable b in this equation.
which expression can be used find the surface area the following triangular prism // 10, 8, 6, 20
Answers
Answer:
Step-by-step explanation:
45
Answer:
24+24+120+160+200
Step-by-step explanation:
I did it and i got it correct !!!!
What is the solution to the equation below?
3log X= log 32+ log 2
X=-8
X=-4
X= 8
Answers
With the options:
X=-8
X=-4
X=4
X=8
The correct answer is x=4
The required solution of the given expression is x = 4.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
3log X= log 32+ log 2
logx³ = log 2⁵ + log 2
logx³ = log 2 ⁶
x³ = 2⁶
x = ∛2⁶
x = 4
Thus, the required solution of the given expression is x = 4.
Learn more about simplification here:
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-
Rachel has some first class and some second class stamps.
The ratio of the number of first dass to the number of second class stamps is 3:4
Rachel has 18 first class stamps.
(a How many second class stamps do es Rachel have?
b) How many stamps do es Rachel have in total?
Answers
2.)Add 6 to 18 to get your answer :)
4) A salesperson is paid $60 per week plus $4.50 per sale. This week, the salesperson wants to earn at least $250. How many sales, n, must the salesperson make in order to meet that goal?
PLEASE HELP!!!!!!!!!!
Answers
｡☆✼★ ━━━━━━━━━━━━━━ ☾
Subtract the $60 out of the total first
250 - 60 = 190
Divide this value by pay per sale:
190 / 4.50 = 42.2222
Thus, they must make 43 sales in order to meet the goal
Have A Nice Day ❤
Stay Brainly! ヅ
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Why does the poet use a similar
phrase at the beginning of each
stanza?
Answers
Answer:
sang / music was all she thought about
Step-by-step explanation:
i did this already.....
Which quadratic function is represented by the graph?
Answers
Answer:
Answer choice C
Step-by-step explanation:
It is f(x)= -3(x+3)^2+3. For proof, enter equation into desmos graphing. Also I got it right on edge. Hope this helps.
Answer:
C. [tex]f\left(x\right)=-3\left(x+3\right)^2+3[/tex]
Step-by-step explanation:
I did it on edge
PLEASE HELP !
Solve the system of equations and round answer to the nearest tenth :
y = 2.3 • x + 160.7
y = 3.58 • x + 202.6
Answers
Answer:
work is shown and pictured
Can you help me and show work 2
Thank you
Answers
Answer:
sure it's 3 2/3
Step-by-step explanation:
the yards are 50 inches so it is going to be
Two boards, one four inches wide and the other six inches wide, are nailed together to form an X. The angle at which they cross is 60 degrees. If this structure is painted and the boards are separated what is the area of the unpainted region on the four-inch board? (The holes caused by the nails are negligible.) Express your answer in simplest radical form.
Answers
Answer:
The area of the unpainted region on the four inch board = 160·√3 in.²
Step-by-step explanation:
Here we have that the boards are crossing each other on their flat sides Therefore, when the boards are separated, the area of the unpainted region is the area of a parallelogram
The dimensions of the formed parallelogram are;
Interior angles = 60° and 120° (adjacent angles of a parallelogram)
Height, h of parallelogram formed = 4 inches
From the angle of crossing of the parallelogram, we have;
Angle between the width or perpendicular cross section of the 6 inches board and the angle of crossing of the two boards = 90° - 60° = 30°
Therefore, length of base, b of the parallelogram formed by the unpainted region is given as follows;
[tex]b = \frac{60}{cos(30)} = 40\cdot \sqrt{3} \ inches[/tex]
Therefore, the area of the parallelogram = b × h = 4 × 40·√3 = 160·√3 in.²
Hence, the area of the unpainted region on the four inch board = 160·√3 in.².
A cooler contains ten bottles of sports drink: four lemon-lime flavored, three orange-flavored, and three fruit-punch flavored. Three times, you randomly grab a bottle, return the bottle to the cooler, and then mix up the bottles. The first time, you get a lemon-lime drink. The second and third times, you get fruit-punch.
show work please thanks! 20 poinsssssss!!
Answers
Answer: The probability is 0.036
Step-by-step explanation:
We have a total of 10 sports drinks.
4 lemon-lime
3 orange
3 fruit-punch.
in the first draw, we pick a lemon-lime drink.
The probability of this is equal to the number of lemon-lime drinks divided by the total number of drinks: p1 = 4/10.
Then we return it and we mix the drinks.
In the second time, we draw a fruit-punch one, so now the probability is:
p2 = 3/10
We return the drink.
For the third time we again pick a fruit-punch.
Again, we have p3 = 3/10.
Now for the joint probability of the 3 events we must multiplcate the individual probabilities, this is:
P = p1*p2*p3 = (4/10)*(3/10)*(3/10) = 36/100 = 0.036
Answer:
(っ◔◡◔)っ ♥ Thanks for the 9 points! ♥
Step-by-step explanation:
Maddie buys stock that is worth $22 per share.On the first day,the value of the stock goes up 20%. On the second day,the value decreases by 10%. What is the value of each share at the end of the second day?
Answers
Answer:
At the end of the second day, the value of the share is $23.76
Step-by-step explanation:
Maddie bought $22 worth of share
20% increase of $22 share in the first day
= 20/100 × 22
= $4.40
The total value at the end of the $22 + $4.40
= $26.40
On the second day, 10% decrease of $26.40 is
= 10/100 × $26.4
= $2.64
At the end of the second date, the value of the share is $26.40 - $2.64
= $23.76
Find the difference. Express your answer in lowest terms.
22 1/3 - 6 3/4
Answers
Answer:
15 7/12
Step-by-step explanation:
Find the width of a cereal box that has a volume of 11,340 cm3 and is 35 cm long and 36 cm high.
Answers
Hope this was helpful :)
Suppose the hypotenuse of a right triangle is 8 cm and one of the legs is 5 cm. Use the Pythagorean Theorem to find the measure of the triangle's other leg. Round the measure to the nearest whole number.
Answers
Answer:
Base, B is 6cm.
Step-by-step explanation:
Pythagoras theorem states that, in a right-angled triangle (ABC) , the square of the hypotenuse (C) is equal to the sum of squares of the other two sides (AB).
Mathematically, it is given by the equation;
Adjacent² + Base² = Hypotenuse²
A² + B² = C²
Given from the question, C = 8cm, A = 5cm and B = x (unknown)
Substituting the parameters into the equation we have;
5² + x² = 8²
25 + x² = 64
x² = 64 - 25
x² = 39
Taking the square root of both sides, we have;
x = 6.25cm
To the nearest whole number x equals 6cm.
Hence, B = 6cm
Which graph shows the system of equations 4 x + y = 3 and 2 x minus 3 y = 3?
Answers
Answer:
A linear graph with points (6/7, -3/7)
Step-by-step explanation:
Look at the two equations.
We find the value of X and Y because the graph must satisfy these points. See attachment for explanations.
Answer:
A
Step-by-step explanation:
What is the standard form of this expression?
(4y − 9)(2y − 3)
Answers
Determine if the question posed is a statistical question (yes) or not (no). How many apps do my classmates have on their phones?
Answers
Answer:
Statistical
Step-by-step explanation:
You need to collect data to determine the answer of that.
Answer:
Yes
Step-by-step explanation:
"How many apps do my classmates have on their phones?" This is a statistical question because a statistical question has to be a question that can be used to collect data. If the question was something like "How many apps does Melissa have on her phone?" it would NOT be a statistical question because it is only asking about one specific person and you wouldn't be collecting data.
I wasn't really sure how to explain it but I hope it makes sense! :)
Find the perimeter use 3.14
Answers
Answer:
21.7 ft
Step-by-step explanation:
You first find the circumference of the entire circle (diameter of 5). The formula is pi times diameter. You should get 15.7 ft. Then you just add 6 because of the line on the top. Your answer should be 21.7 ft. Hope this helped!
A bucket contains 5 green tennis balls, 2 yellow tennis balls, and 6 red tennis balls. Tony removes 3 tennis balls, with replacement, from the bucket shown.
What is the probability that the first tennis ball is yellow, the second tennis ball is green, and the third tennis ball is red?
Answers
Answer:
[tex]\frac{5}{143}[/tex] chance
Step-by-step explanation:
Chance of getting yellow first time: [tex]\frac{2}{13}[/tex]
Chance of getting green without replacement from yellow: [tex]\frac{5}{12}[/tex]
Chance of getting red without any replacement: [tex]\frac{6}{11}[/tex]
[tex]\frac{2}{13} *\frac{5}{12} *\frac{6}{11} =\frac{60}{1716} =\frac{10}{286} =\frac{5}{143}[/tex]
This is an economic question so I didn't find a category for it.
what is most important skill when preparing for a certification exam?
A. Leadership
B.Communication
C.Time management
D. Reading
Answers
what is the slope on the line ?
please help me.
Answers
Answer:
4/7
Step-by-step explanation:
you go to the right 4 times then up 7
miles is painting his bedroom and the guestroom he uses 8 gallons in the bedroom and 1/4 of that amount in the guestroom whats the amount he uses in the bedroom
Answers
Answer:
Amount of paint used in the bedroom = 8 gallons
Amount of paint used in the guestroom = 2 gallons
Step-by-step explanation:
It is stated clearly in the question that miles uses 8 gallons in the bedroom
Therefore, the amount of paints used in the bedroom = 8 gallons
He uses 1/4 of the amount used in the bedroom in the guestroom
Therefore, the amount used in the guestroom = 1/4 * 8
The amount used in the guestroom = 2 gallons
Fill in the blank:
_?__(x+3)=7x+21
Answers
Answer:
The fill-in-the-blank is 7.
Step-by-step explanation:
By factoring out the greatest common factor, 7, you will get 7(x + 3).
7(x + 3) = 7x + 21
Answer:
7
Step-by-step explanation:
Which is more, 37 quarts or 10 gallons?
Answers
Answer:
10 gallons is more
Step-by-step explanation:
There are 4 quarts in a gallon, so divide your number of quarts by 4 to determine the number of gallons:
37/4 = 9.25 gallons
10 gallons = 10 gallons