Answers
Given: Figure of a plane named Q with a normal [tex]\overleftrightarrow{BF}[/tex] at point B, containing two lines [tex]\overleftrightarrow{AC}[/tex] and [tex]\overleftrightarrow{DE}[/tex] that intersect at point B
To find:
Another name for [tex]\overleftrightarrow{AB}[/tex] Two other names for plane QWhy EBD is not an acceptable name for plane QA line is named using any two points lying on it. A plane, on the other hand is named using any three non-collinear points lying on it.
The logic behind this is that there is an unique line passing through any two points. So, any two points lying on a line is sufficient to name the line.
Similarly, an unique plane can be found that passes through any two lines. That is, any two lines lying on a plane is sufficient to name the plane. Since a line can be defined uniquely by two points, two lines can be defined uniquely by two points each, that is, four points. However, if we take a common point, that is, if we take the point of intersection of the two lines as one of our points, then we need at most three points to define a plane.
Note that, we have to take care that the three points be non-collinear, because if they are collinear, they can only give a single unique line which is not sufficient to uniquely give a plane. Indeed, infinite number of planes passes through a single line.
So, we name a line using two points lying on it and a plane using three non-collinear points lying on it.
Now, the line [tex]\overleftrightarrow{AB}[/tex] clearly passes through points A and B. As can be seen from the figure, it also passes through the point C. We name a line using any two points lying on the line.
So, another name for [tex]\overleftrightarrow{AB}[/tex] can be [tex]\overleftrightarrow{AC}[/tex].
The plane Q contains the points A, B, C, D and E of which the points A, B and C, and the points E, B and D are collinear. So, choosing two sets of three points each such that they are non-collinear, we can have points A, E and C, and the points C, D and B.
Equivalently, two other names for the plane Q can be AEC and CDB.
EBD is not an acceptable name for plane Q because the points E, B and D are collinear points, that is they lie on the same line.
So, we have found that another name for [tex]\overleftrightarrow{AB}[/tex] can be [tex]\overleftrightarrow{AC}[/tex], two other names for the plane Q can be AEC and CDB, and EBD is not an acceptable name for plane Q because the points E, B and D are collinear points.
Learn more about naming of lines and planes here:
https://brainly.com/question/1592203
Related Questions
Find the X intercepts of the equation f(x) = x^2 - 6x + 6
Answers
Answer:
x-intercepts = (x ≈ -0.87), (x ≈ 6.87)
Step-by-step explanation:
let x = 0, in equation for x-intercepts
solve for x using the
quadratic formula
x = −6 ± √ 36 + 24
2x
= −6 ± √60
−2x
= −6 ± 2 √ 15
−2 = 3 ± √15
1000
800
600
400
200
1 2 3 4 5 6
-6-5-4-3-21
-200
-400
-600
-800
-1000
10
Determine if the graph represents a polynomial function. If it does, determine the number of turning points and the least degree possible.
Answers
Answer:
C
Step-by-step explanation:
As the x tends to infinity and - infinity, the function does the same, so it's an odd function. The function also have two extrema, that means it have 2 turning point
Answer:
it says Not a polynomial.
Step-by-step explanation:
1) Lisa took a trip to Kuwait. upon leaving she decided to convert all of her dinars back into dollars . how many dollars did she receive if she exchanged 13 dinars at a rate of 1 dinar for every $3?
2) Willie bought one bunch of asparagus for $2. how many bunches of asparagus can Daniel buy if he has $12?
round your answer to the nearest whole number!!!
Answers
Picture shown!
Complete the remainder of the table for the given function rule
y= -3x+4
x | -8 -4 0 4 8
y | 28 ? ? ? ?
Answers
Answer:
see below
Step-by-step explanation:
y= -3x+4
Let x = -4
y= -3(-4) +4 = 12 +4 = 16
Let x = -0
y= -3(0) +4 = 0 +4 = 4
Let x = 4
y= -3(4) +4 = -12 +4 = -8
Let x = 8
y= -3(8) +4 = -24 +4 = -20
Kent guessed that there were
2,473 candies in the jar.
What is the value of the 2?
Answers
Answer:
The value of the 2 is two-thousand
Step-by-step explanation:
Answer:
thousands
Step-by-step explanation:
thousands, hundreds tens ones
2 4 7 3
Compare the functions shown below:
Which function has the greatest maximum y-value?
Answers
Answer:Hey I'm sorry I didn't get to answer your question it's just that I need the points because I don't have enough to get help with my question. I hope you get the answer that you need for you question. Good Luck :)
Step-by-step explanation:
a clothing factory made 4537 shirts. if an equal number of shirts was placed in each 56 boxes, how many shirts were left over?
Answers
Answer:
57 shirts were left over
Step-by-step explanation:
57 multiplied by 80 gives you 4480
4537 subtracted by 4480 gives you 57 leaving you with 57 shirts left over :)
The function f(x) is graphed below. What is the value of f(-2)?
Answers
Answer:
f(-2) = 4
Step-by-step explanation:
Looking at the graph, at -2 the graph is at the point (-2,4). Therefore, the value of f(-2) is 4.
HELLLPPPPP!!!!!!!!!!!!!!!!!!
Answers
Answer:
1}6 times
Step-by-step explanation:
The highest number of president born in Virginia minus the highest number of president born in Texas2}Yes.New York and Mast has the same number of president which is four
3}Yes,this can be done using piechart.
4}I am still working on this question
a cake recipe calls for 2 1/2 cups of sugar. A caterer had 37 3/4 cups of sugar on hand. how many cakes can he make?
Answers
Answer:
Step-by-step explanation:
Set this up as a ratio of number of cakes to cups of sugar, C:S
Then the ratio given is 1:2.5 which says 1 cake takes 2.5 cups of sugar. We want to know how many cakes, x, will be made with 37.75 ups of flour:
[tex]\frac{1}{2.5}=\frac{x}{37.75}[/tex] and cross multiply to solve:
2.5x = 37.75 so
x = 15.1 cakes or just 15 cakes (cuz you can't make one-tenth of a cake!)
2. Damian is monitoring the temperature of
the swimming pool. It is currently 86.8° and
cooling 0.5° per minute. After how many
minutes will the swimming pool be 80.8°?
a. Equation:
Answers
I think 12 minutes will pass until the tempature reaches 80.8
The number of minutes when the temperature of the swimming pool is 80.8° will be 12 minutes.
What is a linear equation?A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
Damian is monitoring the temperature of the swimming pool. It is currently 86.8° and cooling 0.5° per minute. Then the equation will be
y = 86.8 - 0.5x
The number of minutes when the temperature of the swimming pool be 80.8° will be
80.8 = 86.8 - 0.5x
0.5x = 6
x = 12
The number of minutes when the temperature of the swimming pool is 80.8° will be 12 minutes.
More about the linear equation link is given below.
https://brainly.com/question/11897796
#SPJ2
What is the midpoint of segment AB?
Answers
Answer:
(-1, -3.5)
Step-by-step explanation:
Use the midpoint formula by finding the points of A and B.
A = (-5, -4)
B = (3, -3)
Add the x-values of both coordinates to get the following:
[tex]3_{1} + -5_{2} = -2\\-2/2 = -1[/tex]
Midpoint = (-1, y)
Now we find the y-value by doing the same as we did to the x-coordinates of A and B.
[tex]-3_{1} + -4_{2} = -7\\-7/2 = -3.5[/tex]
Midpoint = (-1, -3.5)
Help anyone can help me do this question,I will mark brainlest.
Answers
Answer:
Step-by-step explanation:
integers
[tex]18 \div ( - 9) = [/tex]
[tex] - 10 \div 2 = [/tex]
[tex] - 2 + ( - 6) = [/tex]
[tex] - 8 - 4 = [/tex]
[tex]( - 2 \times - 12) \div (18 \div - 9 = [/tex]
[tex](120 - 30) \div ( - 42 - 3) = [/tex]
[tex]1000 \div (125 \times - 2) = [/tex]
[tex](5 - 30) \div ( 8 - 3) = [/tex]
[tex]12 \div (4 - 8) = [/tex]
Answers
please mark this answer as brainlist
Jonathan took 5 minutes to walk to the bus-stop, then spent 63 minutes waiting for the bus. If the bus journey to his school took 10 minutes, how much time did he take to reach his school?
Answers
Answer:
78 minutes or 1 hour and 18 minutes
Step-by-step explanation:
Add 5 and 63 and 10
“Give the perimeter for each figure as a simplified expression”
Answers
If f(x) = x4 + 2x3 – 5x2-x + 6,
what would be the list of
q
possible rational roots?
Arrange your list from smallest to
largest
P =
= [?], [ ], [ ], [ ],[],[],[],[]
Qlo
Enter the number that belongs in the green box.
Enter
Answers
Answer:
Hello,
Step-by-step explanation:
possible rational roots are:
-6/1
-3/1
-2,/1
-1/1
1/1
2/1
3/1
6/1
50 apples cost 25$ how much would 75$ apples cost?
Answers
Answer:
100
Step-by-step explanation:
Hey there!
First, to find the cost of one apple, 50 ÷ 25, which equals 2.
At this point, i am not very sure if you meant to say 75 apples, or $75 apples, so I am just going to give both solutions.
If you meant 75 apples: 75 x 2 = $150
If you meant $75 apples: $75 ÷ 2 = 37.5
Since it isn't realistic to buy 37 apples and one half, round it to 37 apples.
Hope this helps!
Have a great day!
Write an equation that represents the line.
Use exact numbers
Answers
Answer:
y = 5/6x + 8/3
Step-by-step explanation:
y = mx + b (m is the slope, b is the y-intercept)
(-2, 1) (4, 6)
m = change in y / change in x
m = 5/6
y = 5/6x + b
Plugging in (4, 6):
6 = 5/6(4) + b
6 = 20/6 + b
36/6 = 20/6 + b
36/6 - 20/6 = b
b = 16/6
b = 8/3
y = 5/6x + 8/3
This cylinder has a radius of 4 feet and a volume of 2087 cubic feet.
What is the height of the cylinder?
Answers
Answer:
h = 41.52 feet
Step-by-step explanation:
The volume is π•radius²•height:
π•4²•h = 2087
16πh = 2087
h = 2087/16π
h ≈ 41.52 feet
Simplify the expression.
7(5 +t) - 4(t + 4)
7(5 + t) - 4(t + 4) = [
Answers
7(5 + t) - 4(t + 4) =
= 35 + 7t - 4t - 16 =
= 7t - 4t + 35 - 16 = 3t + 19
2+ (-3)^2 - (-1)
please explain! :3
Answers
Answer:
12
Step-by-step explanation:
Hello!
First of all you have to understand the order of operations.
PEMDAS
Parenthesis, Exponent, Multiplication/Divison, Addition, Subtraction.
From this you can see that we first have to deal with the exponent, then multiplication, then the addition.
So we get 2+9-(-1)
The 9 is from -3^2
2+9+1
11+1
12.
Hope this helps!
G
Antranig has a glass that holds 9.75 fluid ounces. He drinks 3.5 glasses of water in one day. To the nearest hundredth of a fluid ounce, how much water does Antranig drink?
He drinks about ounces of water
(Do not round antil the final answer. Then round to the nearest hundredth as needed.)
HELP MAN
Answers
Answer:
34.13 ounces
Step-by-step explanation:
Total amount of water drunk=3.5*9.75=34.13
find the extrema of the function y=cos2x
Answers
Answer:
Step-by-step explanation:
Find derivative of the function:
y' = -2·sin(2·x)
-2·sin(2·x) = 0
x1 = 0
x2 = 3.142
f(0) = 1
f(3.142) = 1
Answer
fmin = 1, fmax = 1
If 6x^3 - (k+6)x^2 + 2kx - 25 is divided by 2x-5 remainder is o find the value of k.
Answers
Answer:
25
Step-by-step explanation:
6x³-(k+6)x²+2kx-25
2x-5=0
2x=5
x=5÷2=2.5
6(2.5³)-(k+6)(2.5²)+2(2.5)k -25=0
(6×15.625)-(6.25k+37.5)+(5k)-25=0
93.75-6.25k-37.5+5k-25=0
93.75-37.5-25=6.25k-5k
31.25=1.25k
k=25
The length of a rectangle is three times its breadth if the breadth is decreased by 2 m and breadth increased by 4 m the area of the rectangle is decreased by 1/3
a) form a quadratic equation
Answers
Answer:
Let the breadth is x, then the length is 3x.
The area is:
A = lw = 3x*x = 3x²The breadth is decreased by 2 m:
w = x - 2The length is increased by 4m:
l = 3x + 4The area is now:
(x - 2)(3x + 4) = 3x² - 1/3(3x²)3x² + 4x - 6x - 8 = 2x²x² - 2x - 8 = 0x² - 2x + 1 = 9(x - 1)² = 3²x - 1 = 3x = 4The breadth was 4 m and the length 12 m
PLS HELP ME ON THIS QUESTION!!!
George has a storage unit already occupied by a large container that is the same height of the whole unit. How much space is left for storage?
Answers
Answer:
945 m³
Step-by-step explanation:
Space left for storage = Volume of storage unit - volume of the container
Storage unit:
length = l = 15.3 m
Height = h = 10 m
Width = w = 7 m
Volume of storage unit = l * w *h
= 15.3 *7* 10
= 1071 m³
Container:
length = l =4.2 m
Height = h = 10 m
Width = w = 3 m
Volume of container = l * w *h
= 4.2 *3* 10
= 126 m³
Space left = 1071 - 126 = 945 m³
Can someone please help meee
Answers
Answer:
b
basically 5/8 goes to 1/2 0.8 times which is 4/5
What is 3x^2-5x-13=0
Answers
Answer:
D. 58
Step-by-step explanation:
Given, 3x+8x+4x=6x+63
⇒15x=6x+63
⇒9x=63
⇒x=7
Then 5x+23=5(7)+23
=35+23
=58
600 becomes 720 in 2 years when the interest is simple if the rate of interest is increased by 2% then what will be the total amount.
Answers
Hi
So: 720 -600 = 120
120 for two years makes 120/2 = 60 in a year .
60 from 600 is 600/60 = 10
Interest is 10 %
If interest in 2% more, then it's 12%.
I'm sure you can count 12% simple interest for two years, so I let you try.
good luck.
