Two planes are parallel and each plane contains a line. Are the two lines skew? Explain your reasoning.

Answers

Answer 1

If Two planes are parallel and each plane contains a line, the two lines are  not skew because In the event that any two lines fall on a single plane, they will either intersect or be parallel to one another. Both instances violate the concept of a skew line because the skew lines are neither parallel nor intersect.

Do two parallel lines on a plane have a skew?

Infinitely many lines cross through, yet only one of them is parallel to. Lines that never intersect and are in distinct planes are known as skew lines. Parallel lines and skew lines are distinguished by the fact that they both reside in the same plane, whereas skew lines do not.

The two lines would overlap at some point if the two planes on which they are located weren't parallel, which again defies the definition of skew lines.

Therefore, The skew lines are thus present if and only if both lines fall on a pair of parallel planes.

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Related Questions

A hiking guide recommends that a person wear snowshoes when the accumulated snow has a depth of at least 6 inches. At 8:00 a.m., the depth of snow in a certain area is 4 inches. The predicted average rates of change of the depth of snow for different time intervals are shown in the table. For which of the following time periods between 8:00 a.m. and 8:00 p.m. would the guide recommend wearing snowshoes?


A. 8:00 a.m.-10:00 a.m. and 1:00 p.m.-3:00 p.m.

B. 8:00 a.m.-11:00 a.m. and 3:00 p.m.-4:00 p.m.

C. 10:00 a.m.-12:00 p.m. and 5:00 p.m.-8:00 p.m.

D. 9:00 a.m.-11:00 a.m. and 2:00 p.m.-4:00 p.m.

Answers

Considering the average rate of change, the time periods in which snowshoes are recommended are given as follows:

C. 10:00 a.m.-12:00 p.m. and 5:00 p.m.-8:00 p.m.

What is the average rate of change of a function?

The average rate of change of a function is given by the change in the output of the function (change in the numeric value) divided by the change in the input of the function. Hence, over an interval [a,b], the rate is given by the fraction presented as follows:

[tex]r = \frac{f(b) - f(a)}{b - a}[/tex]

The initial amount is of 4 inches, hence, considering the rates, the amounts of snow on the ground are given as follows:

11 am: 4 + 3 x 0.75 = 6.25 inches. (>6 at 10 am).3 pm: 6.25 - 4 x 0.25 = 5.25 inches.8 pm: 5.25 + 5 x 0.50 = 7.75 inches. (>6 at 5 pm).

Hence the intervals are given by option c.

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In quadrilateral BADC, AB=AD and BC=DC. Which of the following contains only true statements?

Answers

Answer:

abad

Step-by-step explanation:

16. Points X, Y, and Z are collinear, and Y is
the midpoint of XZ. Find the value of b.

Answers

Answer:

b=11

Step-by-step explanation:

lets set up the equation. we know that both sides equal each other so the equation is

2b+7=3b-4 let's move the 2b to the other side so we get

7=b-4 now add the 4 to the other side

11=b

Answer:

B is 11

Step-by-step explanation:

If 8^y =16^y+2what is the value of y?

O-8.
O-4.
O-2.
O-1.

Answers

Answer:

-8

Step-by-step explanation:

Graph each side of the equation. The solution is the x-value of the point of intersection.

11. √1156
12. √1024
13. √1225
14. √1764
15. √1936
please ahh little help please ​

Answers

The evaluation of the square roots of the numbers using prime factorization gives;

11. √1156 = 32

12. √1024 = 32

13. √1225 = 35

14. √1764 = 42

15. √1936 = 44

What are prime factors?

Prime factors are the factors of a number that are also prime numbers.

The square roots of the numbers found using prime factorization are as follows;

11. √1156

1156 ÷ 2 = 578

578 ÷ 2 = 289

289 ÷  17 = 17

17 ÷ 17 = 1

√1156 = √(2 × 2 × 17 × 17) = √(2² × 17²)

√1156 = √(2² × 17²) = 2 × 17 = 34

√1156 = 34

12. √1024

1024 ÷ 2 = 512

512 ÷ 2 = 256

256 ÷ 2 = 128

128 ÷ 2 = 64

64 ÷ 2 = 32

32 ÷ 2 = 16

16 ÷ 2 = 8

8 ÷ 2 = 4

4 ÷ 2 = 2

Therefore; √(1024) = √(2×2×2×2 ×2×2×2×2×2×2) = √(2¹⁰) = 2⁵ = 32

√1024 = 32

13. √1225

1225 ÷ 5 = 245

245 ÷ 5 = 49

49 ÷ 7 = 7

7 ÷ 7 = 1

Therefore;

√(1225) = √(5 × 5 × 7 × 7) = √(5² + 7²) = 5 × 7 = 35

14. √1764

1764 ÷ 2 = 882

882 ÷ 2 = 441

441 ÷ 3 = 147

147 ÷ 3 = 49

49 ÷ 7 = 7

7 ÷ 7 =  1

√1764 = √(2 × 2 × 3 × 3 × 7 × 7)  = √(2² × 3² × 7² = 2 × 3 × 7 = 42

15. √1936

1936 ÷ 2 = 968

968 ÷ 2 = 484

484 ÷ 2 = 242

242 ÷ 2 = 121

121 ÷ 11 = 11

11 ÷ 11 =  1

Therefore;  √(1936) = √(2 × 2 × 2 × 2 × 11 × 11) = √(2⁴ × 11²) = 2² × 11

√(1936) = 2² × 11 = 44

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angela is following this recipe to make biscuits. angela uses 3.3 litres of syrup. how much sugar is needed in kg

Answers

The quantity of sugar that is needed in kg would be = 1.8kg

What is recipe?

Recipe is defined as the list of components of ingredients that makes up a food product.

From the recipe given by Angela, the quantity of syrup that is used to make up to 14 biscuits= 275 ml.

The quantity of sugar that is used to make up to 14 biscuits= 150g

Therefore the quantity of sugar that would be used for syrup of 3.3 liters would be= X

That is;

275ml = 150g

3.3L = X

Convert 3.3L to ml = 3,300ml , then make x the subject of formula;

X = 3300×150/275

X = 495000/275

X= 1,800g

Then convert 1,800g to kg by dividing through with 1000;

1800/1000 = 1.8 kg

Therefore, the quantity of sugar that would be used for 3.3L of syrup would be 1.8kg.

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Complete question:

Angela is following this recipe to make biscuits.Angela uses 3.3 litres of syrup.

How much margarine is needed in kg?

Recipe: Makes 14 biscuits

120 g margarine

150 g sugar

275 ml syrup

200 g oats

60 g sultanas

How much sugar is needed in kg?

when 1515 is appended to a list of integers, the mean is increased by 22. when 11 is appended to the enlarged list, the mean of the enlarged list is decreased by 11. how many integers were in the original list?

Answers

In the initial list, there were 4 integers.

We have the following system if the mean is m, x is the list's initial sum, and n is the number of integers in the list:

m = x/n , m + 2 = (x + 15) / (n + 1) and m + 1 = (x + 16) / (n + 2).

The initial equation is x = mn.

Therefore, changing x in the other two equations:

m + 2 = (mn + 15) / (n + 1) ..............(1)

m + 1 = (mn + 16) / (n + 2)...............(2)

Based on equation (1):

(m + 2)(n + 1) =  mn + 15

mn + m + 2n + 2 = mn + 15

m + 2n + 2  = 15

m + 2n = 13

m = 13 - 2n.

Now change m in equation (2) to:

13 - 2n + 1 = ( n(13 - 2n) + 16) / (n + 2)

14 - 2n = (13n - 2n^2 + 16) / (n + 2)   Through-multiplication by n + 2:

(14 - 2n)(n + 2) =  13n - 2n^2 + 16

14n + 28 - 2n^2 - 4n =  13n - 2n^2 + 16

10n + 28 = 13n + 16

12 = 3n

n = 4.

Hence, there were 4 integers in the original list.

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how many positive integers less than 1000 a) are divisible by 7? b) are divisible by 7 but not by 11? c) are divisible by both 7 and 11? d) are divisible by either 7 or 11? e) are divisible by exactly one of 7 and 11? f ) are divisible by neither 7 nor 11? g) have distinct digits? h) have distinct digits and are even?

Answers

The set of positive integers less than 1000 that are:

a)Divisible by 7 are 142

b)Divisible by 7 but not by 11 are 130

c)Divisible by both 7 and 11 are 12

d)Divisible by either 7 or 11 are 220

e)Divisible by exactly one of 7 and 11 are 220

f)Divisible by neither 7 nor 11 are 780

g)Having distinct digits are 576

f)Having distinct digits and even are 337

What is a positive integer?

A whole number that is greater than zero is known as positive integer

a)The positive numbers below 1000 that are divisible by 7 are 7, 14, 21, 28,..., 994.

Total terms: 994, divided by 7, plus (n-1)

There are 142 total terms below 1000 that are divisible by 7.

b) The numbers 77, 154, 231, 308, 385, 462, 539, 616, 693, 770, 847, and 924 are all divisible by both 7 and 11.

The total number of integers below 1000 that are divisible by 7 but not 11 therefore equals 142 - (total number of integers divisible by 7 and 11), which means that the total number of integers that fall into this category is 130.

c) The total amount of integers that can be divided by both 7 and 11 equals the total amount of integers that can be divided by 77.

There are 12 total integers below 1000 that can be divided by 77.

d) The total number of integers that can be divided by either 7 or 11 is equal to the sum of the numbers that can be divided by each of those numbers and the number that can be divided by 77.

The total number of integers below 1000 that are divisible by 11 is (11,22,33,...,990). 990 = 11 + (n-1) 11, which equals 90 integers.

Total integers that may be divided by both 7 and 11 are equal to 142 + 90 - 12 = 220.

e) The total number of integers that may be divided by either 7 or 11 perfectly is equal to 142 + 90 - 12 = 220 numbers.

f) The total number of integers that cannot be divided by either 7 or 11 is 1000 - (The total number of integers that can be divided by either 7 or 11), which is 1000 - 220 = 780 numbers.

Distinct digits from 1 to 100 = 100 - Total number of integers below 1000 with distinct digits = 1000 - (non-distinct digits) ( 11,22,33,44,55,66,77,88,99,100),

=> Unique digits from 1 to 100 equal 90.

=> The distinct numerals 101 to 200 equal 100. (101,110,111,112,113,114,115,116,117,118,119,121,122,131,133,141,144,151,155,161,166,171,177,181,188,191,199,200),

=> Unique digits from 101 to 200 are: 100 to 28, 72.

=> Unique numbers between 201 and 1000 = 72 x 8 = 576.

h)Different digits and even values equal to 337

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A plumber has a 36-inch pipe that he has to cut into two
pieces so that one piece is 8 in. longer than the other. Find
the length of each piece.

Answers

A plumber has a 36-inch pipe that he needs to cut into two pieces, one 8 inches longer than the other. Each piece's length is x = 14, while the other piece's length is 22.

What is meant by length?The measurement or extent of something from end to end is defined as length. In other words, it is the larger of the two or the highest of three geometrical shapes or objects' dimensions. A rectangle, for example, has length and breadth dimensions.Centimeters, meters, kilometers, inches, feet, yards, and other standard units of length measurement are some examples.A segment's length or the dimensions of a room are examples of length measurements. Distance is the distance between two objects, such as two cities or two points. There will never be a negative value for length or distance.

Therefore,

let x = the first piece and x+14 is the second.

2x + 8 = 36

2x = 28

x = 14, the other piece is 22

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When $720 is divided in the ratio 3:5, the larger share is

Answers

Answer:

The larger share is $450.

Step-by-step explanation:

[tex]\frac{3}{5} =\frac{3x}{5x} \\\\3x-the smaller share\\5x-the larger share\\3x+5x=8x\\8x-money to split\\8x=720 /:8\\x=90\\5x=5*90=450[/tex]

3. One batch of pancakes needs 1½ cups of pancake mix. One box has 9 cups of pancake mix.
How many batches of pancakes can be made with one box of pancake mix?

Answers

In linear equation, 27/2 pancakes are in the box .

What in mathematics is a linear equation?

A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept. Sometimes, the aforementioned is referred to as a " of two variables," where x and y are the variables.

Number of b pancake mix  to be need  =  1½ cups

Number of box has pancake mix   = 9 cups

Therefore, in order to get the total number of  batches of pancakes  needed for the batches will be calculated thus

             =  1½  * 9

             = 3/2 * 9

             = 27/2

therefore 27/2 pancakes are in the box .

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I GIVE you 20 points if you answer ASP PLS
The function graphed shows the total cost of a gym membership for x months.

Select from the drop-down menus to correctly identify the gym membership information provided by the graph.

The Slope is
The Slope Represents

Answers

Answer: Y=mx+b

Step-by-step explanation:

If you use the formula you can figure it out.

Answer:

the slope is 10

The slope represents the cost of gym membership per month.

3. Martin finishes a swim race in 78.934 seconds. His teammate, Abby finishes the race in 83.978 seconds and their last teammate finishes the race in 84.765 seconds.

If the teammates were to have a combined time of less than 250 seconds to qualify to the next round, did they qualify or not? How do you know?


help me please i really need help!

Answers

You would add up the times each person got when the finished the race. Which equals out to 247.677 seconds, which Is lower than 250 making your answer yes they did qualify. We know this because we added up the times and it came out to lower than 250

for sample size n, the margin of error is 3. how many more samples do we need to make the margin of error 0.3?

Answers

We will need 100 more samples to make the margin error of 0.3 .

What are sample errors?When the statistical characteristics of a population are estimated from a subset, or sample, of that population, sampling errors are made in statistics. Statistics of the sample (commonly referred to as estimators), such as means and quartiles, usually diverge from those of the total population because the sample does not include all individuals of the population (known as parameters). The sampling error is defined as the discrepancy between the sample statistic and the population parameter. For example, if one measures the height of a thousand individuals from a population of one million, the average height of the thousand is typically not the same as the average height of all one million persons in the country.

acc to our question-

Margin error is 3Margin error tobe 0.3 SAMPLE size ?0.3 =3/10Ratio =3/3/10=10n^2=10×10=100Samples in size of 100

Hence, We will need 100 more samples to make the margin error of 0.3 .

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Calculate the length of the unknown side of this right-angled triangle.
9 cm
8 cm

Answers

the length of the unknown side of the right angle triangle is 1 cm

The top of a 15-foot ladder is 3 feet farther up a wall than the foot of the ladder is from the bottom of the wall. How far up is the foot of the ladder from the bottom of the wall?


The answer is 9 but I don’t know how to get there.

Answers

Check the picture below.

[tex]\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2 \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases}\implies 15^2=x^2+(x+3)^2 \\\\\\ 225=x^2+(x^2+6x+9)\implies \implies 225=2x^2+6x+9 \\\\\\ 0=2x^2+6x-216\implies 0=2(x^2+3x-108) \\\\\\ 0= x^2+3x-108\implies 0=(x-9)(x+12)\implies x= \begin{cases} 9 ~~ \checkmark\\\\ -12 \end{cases}[/tex]

let's notice that "x" does have two valid values, however for this scenario 'x" cannot be negative, so we don't use that one.

charlie has 2 fair coins. he repeatedly tosses the pair of coins simultaneously (i.e., two tosses at a time), until he has seen both sides of both coins. in expectation, how many total tosses does this take?

Answers

By using the trial method we get a total number of trials taken by Charlie to see both sides of both the coins is 4.

What is probability?

Probability is the name of the area of mathematics that deals with the examination of random events. The ratio of favorable occurrences to the total number of events is used to calculate an event's probability.

P(E) = F(E)/T (E)P(E)

It stands for the probability that an event will occur.

F(E) = Amount of favorable occurrences

Total number of trials (T(E))

Given that Charlie has 2 fair coins.

If he tosses the pair of coins simultaneously, then the number of samples can be HH, HT, TH, TT.

So to see both sides of both the coins he should toss the coin four times.

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Match the vocabulary word with the correct definition.


Base

Exponent

Scientific Notation

a.
The number that is going to be raised to a power.

b.
The number that tells you how many times you will multiply the base number.

c.
A way of writing VERY large or VERY small numbers so the numbers are easier to compare or calculate.

Answers

Answer:

Exponent: B

Base: A

Scientific Notation: C

Step-by-step explanation:

vocabulary

Answer:

Exponent and A

Base and B

Scientific Notation and C

Step-by-step explanation:

Because the Exponent is the number that is going to raise the Base and that Base is the number that you are going to multiply by.

Please Help

Takayla looked at a scale drawing of a piece of land she was interested in buying. The drawing used a scale of 1 in ft. = 200 ft. She was told that the actual length of the land was 588 ft. How long should the land be on the map?


A. 3.33 in

B. 2.98 in

C. 2.90 in

D. 2.94 in

Answers

The answer is D: 2.94 in

Explanation:
Since 1 inch is equivalent to 200. We can divide 588 by 200 since there is already a 1. When you divide it, the answer is 2.94 inches.

Or you can use the equation:
200x=588
Which is pretty much the same thing as
588 ÷ 200

Britney is buying a shirt and a hat at the mall. The shirt costs $30.70, and the hat costs $20.79. If Britney gives the sales clerk $100.00, how much change should she receive? (Ignore sales tax.)

Answers

Answer:

$48.51

Step-by-step explanation:

30.70+20.79 = 51.49

100-51.94 = $48.51

your welcome :)

Answer: $48.51

Step-by-step explanation:

If you add both $30.70 and $20.79, you would get $51.49. Then you subtract it from the $100 & you get a total of $48.51. So Britney is going to receive $48.51.

Determine the value of y for the inequality 2 times the quantity y plus one third end quantity is greater than two thirds. Y is greater than negative 1 over 36 y is less than negative 1 over 36 y > 0 y < 0

Answers

The solution to the inequality is y < -12 ( y less than negative 12).

Given inequality is;

y + 15 less-than 3

y+15<3

For solving the inequality, we will subtract 15 from both sides in order to find y.

Subtracting 15 from both sides of inequality

The solution to the inequality is y < -12 ( y less than negative 12).

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Evaluate Each expression show your work


1. Evaluate 3 + 4x if x = 5

Answers

Answer:

23

Step-by-step explanation:

3+4x

3+4(5)

3+20

23

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Consider a circle whose equation is x2 + y2 – 2x – 8 = 0. Which statements are true? Select three options. The radius of the circle is 3 units. The center of the circle lies on the x-axis. The center of the circle lies on the y-axis. The standard form of the equation is (x – 1)² + y² = 3. The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.

Answers

Considering a circle whose equation is x² + y² – 2x – 8 = 0. The statements that are true about it is as follows

The radius of the circle is 3 unitsThe center of the circle lies on the y-axisThe standard form of the equation is (x – 1)² + y² = 3

How to determine the equation the circle

Information given in the question

a circle whose equation is x² + y² – 2x – 8 = 0

Equation of a circle is given as

(x - h)² (y - k)² = r²

The equation of the circle is written in standard form by completing the square of each of the quadratic equation involved

x² + y² – 2x – 8 = 0

x² - 2x + 1 + y² + 0 = 8 + 1

(x – 1)² + (y - 0)² = 3²

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EASY POINTS WILL GIVE BRAINLIST TO BEST ASWER!!
write the point slope form of the equation of the line through the given point with the given slope
(-2, -3) slope = 2

Answers

Answer:

y+3=2x+4

Step-by-step explanation:

K(15) = ?
Please find what k(15) is of the following graph below

Answers

It’s 7 Bc if you add 8+7 it’s 15 Bc math

Consider the circle represented by this equation.
x² + 4x + y2² - 2y - 4 = 0
Which features are features of the circle?
000
radius of 1
center at (-2, 1)
center at (-4, 2)
radius of 3
radius of 9
center at (2,-1)
Reset
Next

Answers

The given circle equation  [tex]x^2+4x+y^2-2y-4[/tex]=0 has center(-2,1) and radius r=3.

What is circle equation?

 For all values of g, f, and c, the general equation of any type of circle is written as x2 + y2 + 2gx + 2fy + c = 0. The collection of all points in a plane that maintain a fixed, finite distance r from a fixed point is known as a circle. O = (a,b). The definition of a circle on the coordinate plane can be expressed using the equation of a circle. The equation is where r is the radius and if the centre of the circle is at the origin of the coordinate plane.

Here the given circle equation is,

=> [tex]x^2+4x+y^2-2y-4[/tex]=0

=>[tex]x^2+4x+y^2-2y =4[/tex]

[tex]= > x^2+4x+4+y^2-2y+1=4+4+1\\= > (x+2)^2+(y-1)^2=9[/tex]

we know that equation of circle is [tex](x-a)^2+(y-b)^2=r^2[/tex]

Here (a,b)= center and r is radius.

=> [tex](x+2)^2+(y-1)^2=3^2[/tex]

Then the Center (a,b)=(-2,1) and radius r=3.

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Write a system of equations to describe the situation below, solve using elimination, and fill in the blanks.

A boy scout troop is selling Christmas trees at a local tree lot. In the morning, they sold 6 Douglas Fir trees and 16 Noble Fir trees, earning a total of $986. In the afternoon, they sold 6 Douglas Fir trees and 24 Noble Fir trees, earning a total of $1,386. How much does each type of tree cost?

A Douglas Fir costs $_____
and a Noble Fir costs $_______

Answers

Solving the system of equations we can see that:

A Douglas Fir costs $33.50_and a Noble Fir costs $47.75__

How to write and solve the system of equations?

We can define the variables:

x = price of a Douglas Fir trees

y = price of a Noble Fir trees.

By using the given information we can write:

6x + 16y = 986

6x + 24y = 1368

That is our system of equations

If we take the second equation and we subtract the first one we get.

(6x + 24y) - (6x + 16y) = 1368 - 986

8y = 382

y = 382/8 = 47.75

now that we know the value of y, we can find the value of x using the first equation.

6x + 16y = 986

6x = 965 - 16y

x = (965 - 16y)/6

x = (965 - 16*47.75)/6 = 33.5

So:

A Douglas Fir costs $33.50_and a Noble Fir costs $47.75__

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Given the equation 6x + 18 = 72:

Part A: Write a short word problem about a purchase made to illustrate the equation. (6 points)

Part B: Solve the equation showing all work. (4 points)

Part C: Explain what the value of the variable represents. (2 points)

Answers

The short word problem that illustrates the given equation is seen below. The value of the variable is 9.

Expression of the algebraic equation into word problems:

Linear algebra equations are equations that can be expressed in word problems and these equations can be used to solve real-life scenarios. These algebraic equations are designed by the application of the desired set of variables with its arithmetic operations.

A.

In a food factory, Eighteen fried chickens are added to the six times the number of food plates is seventy-two. How much-fried chicken goes into each food plate?

B.

6x + 18 = 72

Subtract 18 from both sides;

6x + 18 - 18 = 72 - 18

6x = 54

Divide both sides by 6.

6x/6 = 54/6

x = 9

C.

The value of the variable is 9, and according to the example we used, it represents the number of chickens that goes into each plate of food.

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Could someone help quick

Answers

The constant of proportionality is 1/7

What is constant of proportionality?The ratio between two proportional quantities' constant values is known as the constant of proportionality. When either their ratio or their product gives a constant, two changing values are said to be in a proportionate relationship. The Direct Variation and Inverse Variation types of proportions between the two provided quantities determine the proportionality constant's value.Direct Variation: The direct proportionality equation is y = kx, which demonstrates that as x rises, y rises at the same pace. Example: y x represents the cost per item(y), which is directly proportional to the number of items(x) purchased.Inverse Variation: The indirect proportionality equation, y = k/x, demonstrates that when y rises, x falls, and vice versa. As shown by the formula y 1/x, the speed of a moving object (y) inversely varies with the amount of time (x) needed to travel a distance.K is constant in both circumstances. The coefficient of proportionality is the name given to this constant's value. The unit rate is another name for the proportionality constant.

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What is the domain of the function?
A XER
B x≤5
C y≤ 5
D y≥5

Answers

Answer:

A

Step-by-step explanation:

Domain is the set of x values, so we can cross off C and D as answer choices as those would be possible answer choices for range. Looking at the graph, you can see the graph continues infinitely. The domain of the function is all real numbers, or A.

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