Is RS perpendicular to DF? Select Yes or No for each statement. R (6, −2), S (−1, 8), D (−1, 11), and F (11 ,4) R (1, 3), S (4,7), D (3, 9), and F (15, 0) R (−5, −5), S (0, 2), D (8, 3), and F (1, 8)
Answers
I'll do the first one to get you started.
Find the slope of the line between R (6,-2) and S (-1,8) to get
m = (y2-y1)/(x2-x1)
m = (8-(-2))/(-1-6)
m = (8+2)/(-1-6)
m = 10/(-7)
m = -10/7
The slope of line RS is -10/7
Next, we find the slope of line DF
m = (y2 - y1)/(x2 - x1)
m = (4-11)/(11-(-1))
m = (4-11)/(11+1)
m = -7/12
From here, we multiply the two slope values
(slope of RS)*(slope of DF) = (-10/7)*(-7/12)
(slope of RS)*(slope of DF) = (-10*(-7))/(7*12)
(slope of RS)*(slope of DF) = 10/12
(slope of RS)*(slope of DF) = 5/6
Because the result is not -1, this means we do not have perpendicular lines here. Any pair of perpendicular lines always has their slopes multiply to -1. This is assuming neither line is vertical.
I'll let you do the two other ones. Let me know what you get so I can check your work.
Related Questions
A forest ranger has data on the heights of a large growth of young pine trees. The mean height is 3.2 feet and the standard deviation 0.6 feet. A histogram shows that the distribution of heights is approximately normal. Approxi mately what fraction of the trees should we expect to be between 4.0 and 4.4 feet tall? A) 2% B) 7 % C ) 9\% D 91% E) 98%
Answers
Answer:
The mean height is 3.2 feet and thestandard deviation 0.6 feet. A… ... A forest ranger has data on the heights of a large growth ... mately what fraction of the trees should we expect to be.
The fraction of the trees that is between 4.0 and 4.4 feet is 7%
The z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given by:
[tex]z=\frac{x-\mu}{\sigma}[/tex]
x is the raw score, μ is mean and σ is standard deviation
Given that μ = 3.2, σ = 0.6, hence:
[tex]For\ x = 4:\\\\z=\frac{4-3.2}{0.6} =1.33\\\\\\For\ x = 4.4:\\\\z=\frac{4.4-3.2}{0.6} =2[/tex]
From the normal distribution table, P(4 < x < 4.4) = P(1.33 < z < 2) = P(z < 2) - P(z < 1.33) = 0.9772 - 0.9082 = 7%
The fraction of the trees that is between 4.0 and 4.4 feet is 7%
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help bounds to a degree
Answers
17 more than x in algebratic expression
Answers
Help me please if you can!!
Answers
Answer:
455.4, So D
Step-by-step explanation:
You need to multiply 37.95 times 12 which gives you 455.4
target sells sweaters and sneakers in the ratio 1:3.The store sold 9 sweaters yesterday.How many sneakers were sold?
Answers
Answer: 27
Step-by-step explanation: since the ratio is 1:3 u mutiply
1 by 9 which equals nine and then u multiply 3 by 9 and u get 27. This should be right I am sorry if it isn't.
help plzz:))))))))))
Answers
Answer:
45
Step-by-step explanation:
PQ = 45 units
how do i answer this please?
Answers
Answer:
part a: root2
part b: 4root11
Answer:
a) [tex]\sqrt{2}[/tex]
b) [tex]4\sqrt{11}[/tex]
Step-by-step explanation:
a) [tex]6\sqrt{2} - 5\sqrt{2}[/tex]
Taking √2 common ,
[tex]=> \sqrt{2} (6-5)[/tex]
[tex]=> \sqrt{2}[/tex]
b) [tex]\sqrt{11} +3\sqrt{11}[/tex]
Taking √11 common ,
[tex]=> \sqrt{11} (1 +3)[/tex]
[tex]=> 4\sqrt{11}[/tex]
Please help answer correctly !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!
Answers
The correct answer is 22
Prove that: (12^13–12^12+12^11)(11^9–11^8+11^7) is divisible by 3, 7, 19, and 37. The answer should be like: x^b*3*7*19*37. Also this is my first time asking a question on brainly :)
Answers
Answer:
Step-by-step explanation:
Given (12^13–12^12+12^11)(11^9–11^8+11^7),
(12^13–12^12+12^11)(11^9–11^8+11^7) =
[(12^12)12 – 12^12 + 12^11][(11^8)11 – 11^8 + 11^7)
[(12^12)(12 – 1) + 12^11][(11^8)(11 – 1) + 11^7] =
(12^12(11) + 12^11)(11^8(10) + 11^7) =
(12^11(12x11) + 12^11)(11^7(11x10) + 11^7) =
[(12^11)(12x11 + 1)][(11^7)(11x10 + 1)] =
[(12^11)x(11^7)](12x11 + 1)(11x10 + 1) =
[(12^11)x(11^7)](133 x 111) =
[(12^11)x(11^7)](133 x 111) =
[(12^11)x(11^7)](14763) =
[(12^11)x(11^7)](3x7x19x37)
From here, it is clear that the given number is divisible by 3, 7, 19 and 37.
U
Question 21
1 pts
What is the name of the property of equality or congruence that justifies going from the
first statement to the second statement?
ARTY
TY AR
Transitive Property of Equality
Symmetric Property of Equality
Subtraction Property of Equality
Reflexive Property of Equality
Answers
Answer:
The property used is Symmetric property of Equality.
Option B is correct option.
Step-by-step explanation:
We are given :
[tex]AR \cong TY\\[/tex]
Which property will give the step:
[tex]TY \cong AR\\[/tex]
Looking at the options:
We see that Symmetric property states that if a = b then b= a
Same is the case with the question.
We have :
[tex]AR \cong TY\\\\TY \cong AR\\[/tex]
If a = AR and b = TY
then the property is: a = b, b=a
So, the property used is Symmetric property of Equality.
Option B is correct option.
Please help me with this homework
Answers
A positive slope is a line that has an increasing slope, the easiest way to determine if a line has a positive slope is if the line is going in an upwards direction, looking from left to right.
There were 12 boys and 20 girls in chorus. What is the ratio of boys to girls? A:3:8
B:5:3
C:3:5
D:5:8
Answers
Answer:
C 3.5.......
Step-by-step explanation:
Your welcome
because 4x3=12 and 4x5= 20
Bill climbs a 2-mile hill at
an uphill speed of 2 Mph,
spends no time at the top,
and immediately walks down
at 6 Mph. What is his average
speed for the up and down
trip?
Answers
Answer:
3
Step-by-step explanation:
What is a y-axis in the coordinate planes?
Answers
Answer:
y axis is the top and bottom line like the straight line abd Example on the coordinate plane ut had two lines one jn the middle and one going across well the one going across is the x axis abs the one going straight is y axis so final answer Y axis us that
Write the equation of the line that passes through the points (5,-10) and (12,-17) in slope intercept form
Answers
Answer:
m = -1Step-by-step explanation:
[tex]\bold{slope\, (m)=\dfrac{change\ in\ Y}{change\ in\ X}=\dfrac{y_2-y_1}{x_2-x_1}}[/tex]
(5, -10) ⇒ x₁ = 5, y₁ = -10
(12, -17) ⇒ x₂ = 12, y₂ = -17
So the slope:
[tex]\bold{m=\dfrac{-17-(-10)}{12-5}=\dfrac{-7}7=-1}[/tex]
Emily and Chelsea each improved their yards by planting hostas and shrubs. They bought their supplies from the same store. Emily spent $132 on 6 hostas and 12 shrubs. Chelsea spent $213 on 14 hostas and 9 shrubs. Find the cost of one hosta and the cost of one shrub.
Answers
Answer:
One hosta = $ 12 , One shrub = $ 5
Step-by-step explanation:
Let;
x = hostas
y = shrubs
Emily spent $132 on 6 hostas and 12 shrubs.
6x + 12y = 132 ........................................ (i)
Chelsea spent $213 on 14 hostas and 9 shrubs
14x + 9y = 213 ........................................ (ii)
From (i)
12y = 132 - 6x
y = 11 - 0.5x ........................................ (iii)
substitute (iii) into (ii)
14x + 9 (11 - 0.5x) = 213
14x + 99 - 4.5x = 213
9.5x = 114
x = $ 12
Substitute value of x in (iii)
y = 11 - 0.5(12)
y = 11 - 6 = $ 5
3 1
5– + 1–
4 3
it’s fractions btw
Answers
Answer:
that should be the answer if you don’t have to simplify
Step-by-step explanation:
Answer:
88/15
Step-by-step explanation:
Did I get this right or no I didn’t
Answers
Answer:
its correct bro ;) click next
Alina has 32 hours to complete her homework. She plans to split apart the time equally between 3 assignments. Which expression represents the time Alina will spend on each assignment? CLEAR CHECK 3÷32 32÷3 32−3 3÷12
Answers
Answer:
32/3 (B)
Step-by-step explanation:
To split everything equally in other words is basically division. so you would do 32/3 and get around 10.6 hours to do each assignment
Answer:
32÷3
Step-by-step explanation:
if you see the word EACH your gonna divide :) .
The price of gas in 2020 is $1.90/gallon. What is the percent change of the price of gas if it cost $1.51/gallon in 2000?
Answers
Answer:
25.83%
Step-by-step explanation:
2) A gym's customers must pay $50 for a membership,
plus $3 for each time they use the gym.
Linear
Exponential
Equation:
Answers
Answer:
total cost = 3x+50. x represents how many times they use the gym
Step-by-step explanation:
In March, you have $220 in your savings account. By the end of April, your savings have increased by 30%. How much money do you have in your savings account at the end of April?
Answers
Answer:
$286
Step-by-step explanation:
220:100=2.2
2.2 x 30 = 66
220+66=286
Solve for x. Round to the nearest tenth if necessary (will give brainliest PLEASE help!!!)
Answers
Answer:
I think it's 30.1
Step-by-step explanation:
Since the hypothesis is always the longest side of the triangle
Answer:
41.06 ≈ 41.1
Step-by-step explanation:
cos 47° = 28 / x
x = 28 / cos 47° = 28/0.682 = 41.06
Which properties must you use to add or subtract complex numbers?
O associative and identity properties
O associative and distributive properties
O commutative and inverse properties
O commutative and zero product properties
Answers
Answer:
commutative and zero product properties
How many different 4-digit PIN codes are there that only include the digits 3, 4, 6, 7, 9 and 2
if each of those digits is only allowed to be used once?
Answers
Answer:
840
Step-by-step explanation:
I got the answer from Hegarty
There are different 4-digit PIN codes are there that only include the digits 3, 4, 6, 7, 9 and 2.
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
Numbers to make 4 - digit PIN codes are,
⇒ 3, 4, 6, 7, 9 and 2.
Now,
Since, There are 6 number to choose to make 4 - digit PIN codes.
Hence, Number of different choices to make 4 - digit PIN codes is,
⇒ [tex]^6P_{4} }[/tex]
⇒ 6! / (6-4)!
⇒ 6! / 2!
⇒ 6 × 5 × 4 × 3 × 2! / 2
⇒ 360
Thus, There are 360 choices to make 4 - digit PIN codes.
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Suppose M is the midpoint of FG. Find the missing measure.
MG = 13x + 1, FG = 15
Answers
Answer:
14 - 13x
Step-by-step explanation:
take 13x + 1 away from 15
15 - (13x + 1) = 15 - 13x - 1 = 14 - 13x
The value of x is 1/2 and the measure of MG is 7.5 cm.
Given that, M is the midpoint of FG.
We need to find the measure of MG and FM.
What is the midpoint of a line segment?In geometry, the midpoint is the middle point of a line segment. It is equidistant from both endpoints, and it is the centroid both of the segment and of the endpoints. It bisects the segment.
Now, FG=MG+FM
⇒FG=MG+MG (MG=FM)
⇒FG=2MG
⇒15=2(13x+1)
⇒15=26x+2
⇒x=1/2
Now, MG=FM=13(1/2)+1=7.5 cm
Therefore, the value of x is 1/2 and the measure of MG is 7.5 cm.
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PLEASE HELP,, MARKING BRAINLIEST!!!
What is the value of y, show your work.
Answers
Answer:
7
Step-by-step explanation:
the answer is 7 all sides are equal to 7
Question 1
Alicia is programming computerized robotic arms to cut burlap for the 4th of July placemats.
The placemats are to be rectangular in shape with an area represented by
45x2 - 71% - 150. The width of each placemat is represented by 5x + 6. The expression to
represent the length of each placemat can be determined by the formula,
length = area = width. Which expression can Alicia use in the programming to represent the
length of each placemat?
А
9x - 25
B
9x + 25
C 45x2 - 66x - 144
D 9x2 - 14.2x - 30
Answers
Answer:
A
Step-by-step explanation:
The expression for the width of rectangular placemats is (9x - 25) units.
Given that, the area of rectangular placemats=45x²-70x-150.
What is the area of a rectangle?The area of a rectangle (A) is the product of its length 'a' and width or breadth 'b'. So, the area of the rectangle = (a × b) square units.
Now, 45x²-70x-150=(5x + 6)×b
⇒b=45x²-75x-150/(5x + 6)
⇒b=(5x + 6)(9x - 25)/(5x + 6)
⇒b=(9x - 25)
Therefore, the expression for the width of rectangular placemats is (9x - 25) units.
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Someone pleaseee help me on this...
Answers
Answer:
Looks like 1 to me the first line
Step-by-step explanation:
Pls help and show workings
Answers
Step-by-step explanation:
AB = 72 so, then FB would be half of that
so 72 divided by 2 would be 36
5x+1=36 then do substitution
-1 from both sides (from +1 you gotta do the inverse)
5x = 35
divide 5 from both sides because in between 5 and x is a times so the inverse of that is divide
x = 7