Answers
9514 1404 393
Answer:
1.3363
Step-by-step explanation:
The basic idea here is to find an expression for the direction vector between a point on L1 and a point on L2. Then, solve for the points on L1 and L2 that make that vector perpendicular to both lines L1 and L2. (The dot product of direction vectors is zero.) The distance between the points found is the shortest distance between the lines.
__
Let P be a point on L1. Then the parametric equation for P is ...
P = (6t, 0, -t) . . . . . . origin + t × direction vector
Let Q be a point on L2. The direction vector for L2 is given by the difference between the given points. It is (4-1, 1-(-1), 6-1) = (3, 2, 5). Then the parametric equation for Q is ...
Q = (3s+1, 2s-1, 5s+1) . . . . (1, -1, 1) + s × direction vector
The direction vector for PQ is ...
Q -P = (3s+1-6t, 2s-1, 5s+1+t)
The dot product of this and the two lines' direction vectors will be zero:
(3s+1-6t, 2s-1, 5s+1+t)·(6, 0, -1) = 0 = 13s -37t +5 . . . perpendicular to L1
(3s+1-6t, 2s-1, 5s+1+t)·(3, 2, 5) = 0 = 38s -13t +6 . . . perpendicular to L2
The solution to these equations is ...
s = -157/1237
t = 112/1237
Then (Q-P) becomes (94, -1551, 564)/1237, and its length is ...
|PQ| = √(94² +1551² +564²)/1237 ≈ 1.3363
The distance between the two lines is about 1.3363 units.
Related Questions
Simplify the expression.
2+2 4+3
O 6
o 7
o 21
067
Yall help this is worth 30 points
Answers
is it weird to be listening to Christmas songs right now
Answers
Answer:
Yes and No
Step-by-step explanation:
Yes, it is weird because Halloween comes first.
No, it's not weird because it is your choice.
bye.
Subtracting Unlike denominators 1/3 - 1/6
Answers
Answer:
1/6
Step-by-step explanation:
1/3 - 1/6
1×2/3×2 - 1×1 / 6×1 ( LCM of 3 and 6 )
2/6 - 1/6
2-1/6
1/6 answer
Question 7. Every day, Omar put the extra change from his pockets into a glass jar. After 30 weeks, he
3
had saved up $16.00. Omar decided to use of the money from the jar to buy canned food for a
homeless shelter. How much money did Omar spend on canned food?
Answers
Answer:
$16
Step-by-step explanation:
He had $16 so he had spent all of it due to the question asked.
5. Aisha is older than Favour Zainab is older than Aisha Favour is older than Jessica Aisha is younger than Michael Who is the youngest?
Answers
Answer:
Denote by A, F, Z, J, and M
A > F A is out
Z > A so Z is out
M > A so M is out
F > J so F is out
That leaves only J, Jessica
Also from above one can write:
(M, Z) > A > F
that only leaves J
Can someone explain to me on how you do this because the answer that I got was 15/17 but then I re read it again and it says to find the VALUE of the PRODUCT so I don’t really understand it. Please show work too
Answers
Answer:
[tex] \frac{3}{15 } [/tex]
please please help me
Answers
Answer:
a) Angle(A+B+C) = 180°
3x - 2° + x - 2° + 2x + 4° = 180°
6x = 180°
x = 30°
<A = 3(30°) - 2° = 88°
<B = 30° - 2° = 28°
<C = 2(30°) + 4° = 64°
b) at point Q
3y + 6y = 180°
y = 20°
<Q = 3(20°) = 60°
<S = 20°
x = 180° - (<S + <Q)
x = 180° - (80°)
x = 100°
<R = 100°
Three different sizes of sports-drinks mix are shown with their prices. Can the relationship between price and volume (in grams) be described by a constant rate? Explain
Answers
Answer:
No; the unit rate of price ($) per volume (g) is not equal for all the sizes.
Step-by-step explanation:
MATH WEEK 5 HOMEWORK
Answers
Answer:
y=3/5x-1 or y=0.6x-1
Step-by-step explanation:
Answer:
y=3/5x-1 or y=0.6x-1
Step-by-step explanation:
Dorian buys 2 pounds of almonds for $21.98 and 3 pounds of dried apricots for $26.25. Which less expensive per pound? How much less expensive?
Answers
Answer:
apricots is less expensive by $2.24
Step-by-step explanation:
21.98÷2=10.99
26.25÷3=8.75
10.99-8.75=2.24
Find the sum of 31 + 32 +33 + ... + 230.
Answers
Answer:
134
Step-by-step explanation:
The ratio of red poms to yellow poms on a float is 5 to 7. If there are 392 yellow poms, on the float, how many red poms are there?
A. 549
B. 390
C. 280
D. 56
Answers
Answer:
C. 280 Red Poems
Step-by-step explanation:
5 : 7= x : 392
5/7 = x/392
x = 5*392/7
x = 5 * 56
x = 280 red poems
Analyze the diagram below and complete the instructions that follow. find sin angle C
Answers
the answer is A ;
sin = opposite/ hypotenuse
= 24/ 26 ( we need to simplify it)
= 12/13
Answer:
A or 12/13
Step-by-step explanation:
help please, what is the ANSWER?
Answers
Answer:
y
0
-1/2
-1
-3/2
-2
Step-by-step explanation:
y=(-1/2) *(-2)- 1 =(-) (-) (1*2)/2-1= 2/2-1 = 1-1 =0
Which number line shows the solution to −4 − (−1)?
A number line is shown from negative 5 to 0 to positive 5. There are increments of 1 on either side of the number line. All the numbers are labeled on either side of the number line. An arrow pointing from 0 to 4 is shown. Above this, another arrow pointing from 4 to 5 is shown. A vertical bar is shown at the tip of the arrowhead of the top arrow.
A number line is shown from negative 5 to 0 to positive 5. There are increments of 1 on either side of the number line. All the numbers are labeled on either side of the number line. An arrow pointing from 0 to 4 is shown. Above this, another arrow pointing from 4 to 3 is shown. A vertical bar is shown at the tip of the arrowhead of the top arrow.
A number line is shown from negative 5 to 0 to positive 5. There are increments of 1 on either side of the number line. All the numbers are labeled on either side of the number line. An arrow pointing from
Answers
Answer:
B a number line is shown from negative 5 to 0 to positive 5.
1. In the adjoining figure, p||q .Find the unknown angles.
Answers
Answer:
Step-by-step explanation:
d = 125 {corresponding angles are equal}
e + 125 = 180 {linear pair}
e = 180 - 125
e = 55
f = e {Vertically opposite angles}
f = 55
c = f {corresponding angles are equal}
c = 55
a = c {Vertically opposite angles}
a = 55
b =d {Vertically opposite angles}
b = 125
Answer:
a = 55°
b = 125°
c = 55°
d = 125°
e = 55°
f = 55°
Step-by-step explanation:
125 + e = 180
e = 180 - 125
e= 55°
e = f = 55°
f = a (being alternate angles)
a = c( being vertically opposite angles)
d = 125°(being corresponding angles)
d = b (being vertically opposite angles)
. for fraction having same numerator, the fraction with the __________ denominator is the greater number
Answers
Answer:
883773737383838837373737
At the calendar shop, wall calendars cost $7 and desk calendars cost $8. Dylan spent $183 to
buy 24 calendars. How many of each type of calendar did Dylan buy?
Answers
Answer:
12 wall and 12 desk calendars
Step-by-step explanation:
24 divide by 2
The first side of a triangle measures 4 in. less than the second side, the third side is 3 in. more than the first side, and the perimeter is 15 in. How long is the third side?
If s represents the length of the second side, which of the following represents the length of the third side?
s - 4
s + 3
s - 1
Answers
3 + s - 4.
3-4 + s = -1 + s or s - 1
So the answer is the third option, s - 1.
how do you check 2(3x - 3) + 2 = 26
Answers
What is the area of my lawn if it measures 6m x 5.2m?
Answers
Answer:
31.2 m²Step-by-step explanation:
Area of Rectangle = (a × b) square units.
so
6 * 5.2 =
31.2 m²
589,203 in expanded notation
Answers
Standard Form: 589,203
Expanded forms can be written like a sentence or stacked for readability as they are here.
Expanded Notation Form: 589,203
= 500,000 + 80,000 + 9,000 + 200 + 0 + 3
Expanded Factors Form: 589,203
= 5 × 100,000 + 8 × 10,000 + 9 × 1,000 + 2 × 100 + 0 × 10 + 3 × 1
Expanded Exponential Form: 589,203
5 × 105 + 8 × 104 + 9 × 103 + 2 × 102 + 0 × 101 + 3 × 100
Sorry if i was not helpful hope this helps !
find the values of p and q such that 4x^2+12=4(x-p)^2+q
!!!!!
Answers
Answer:i dont know please answer this
Step-by-step explanation:
What is the solution to (x – 5)(2x + 1)(x – 7) > 0?
BRAINLIESTTT!!!!
Answers
If any of the terms is 0 it makes the whole equation 0. Because we know anything multiplied by 0 is 0.
0 (B) (C) = 0
(A) 0 (C) = 0
(A) (B) (0) = 0
So we can just set up each of the terms in separate equals in regards to being greater than 0.
x - 5 > 0
5
2x + 1 > 0
-1/2
x - 7 > 0
7
freè pôints
for you you you etc.
Answers
Answer:
askfjheifljblgjsljclakjksfjkljvkldskmjfmvalkgjbjdfkblrgjlskgskjd
Step-by-step explanation:
levjnlakqdhlwjfidfkjblksmnewkfdilbkmcjjeoibjkdl
Steven measures the weight of a random sample of 49 basset hounds the mean wait was 45.8 lb with a standard deviation of 3 lb using the alternative hypothesis that Miu is less than 45.8 Steven found a ztest statistic of -1.5 what is the p value of the test statistic
Answers
Answer: 0.067
Step-by-step explanation:
Look at chart, go to the row for the z-column for -1.5 and then the column 0, this value is 0.0668 or 0.067.
The p-value of the test statistic is approximately 0.0668.
Given that,
Steven measured the weight of a random sample of 49 basset hounds.
The mean weight of the sample was 45.8 lbs.
The standard deviation of the sample was 3 lbs.
Steven used an alternative hypothesis that the true mean weight is less than 45.8 lbs.
Steven found the z-test statistic of -1.5.
Based on the information provided,
We can see that Steven has conducted a hypothesis test to determine whether the true mean weight of basset hounds is less than 45.8 pounds.
To calculate the p-value for this test statistic,
Use a standard normal distribution table to determine the area under the curve to the left of the z-score of -1.5.
Using a standard normal distribution table,
Find that the area to the left of -1.5 is approximately 0.0668.
This means that there is a 6.68% chance of getting a sample mean of 45.8 or less assuming that the true population mean is actually 45.8.
Alternatively, we can use a calculator to find the p-value.
Using a calculator, we would input the z-score of -1.5 and the degrees of freedom (which is n-1, or 48 in this case) into the calculator.
This would give us a p-value of approximately 0.0668 as well.
Thus,
The p-value of the test statistic is approximately 0.0668.
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What is 240.50 x 19.54? Give your answer to 2 significant
Show your work
Answers
Answer:
4700
Step-by-step explanation:
240.50 x 19.54
= 4699.37
2 significant = 4700
Answer:
4,699.37
Step-by-step explanation:
240.50 x 19.54 = 4,699.37
The sum of three numbers is 28,542.two of the numbers are 10,350, and 9,750. Find the third number.
Answers
◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦
[tex]HELLO! :)[/tex]
28,542-10,350-9,750=8,442So the third number is 8,442Hope this helps! :)[tex]GraceRosalia[/tex]help ASAP each runner in a 4 4/5 mile race runs 4/5 of a mile find the number o runners on a relay team
Answers
Answer:
The Answer to your question would be 6 total runners on your relay team
Baking a loaf of banana bread takes 2 cups of flour and 1 cup of sugar. A loaf of
pumpkin bread takes 3 cups of flour and 2 cups of sugar. A baker has 30 cups of flour
and 16 cups of sugar to use. She makes $2.50 profit per loaf of banana bread and
$4.00 profit per loaf of pumpkin bread. How many loaves of each type of bread should
the baker make to maximize her profit?
Answers
Answer:
I assume it would be 15 loves of banana bread.
Step-by-step explanation:
if you do 8 loves of pumpkin bread, you get $24 profit.
If you do 15 loves of banana bread, you get $37.50 in profit.
To maximize the profit of $38 , baker should make 12 loaves of banana bread and 2 loaves of pumpkin bread.
What is linear inequality?" Linear inequalities are defined as algebraic expression which are related with the sign of inequality."
According to the question,
'x' represents the number of loaves of banana bread
'y' represents the number of loaves of pumpkin bread
As per the given condition,
Total profit on making bread [tex]'P' = 2.50x + 4.00y[/tex] ____(1)
Linear inequalities are
[tex]2x + 3y\leq 30\\\\x+ 2y \leq 16[/tex]
By solving linear inequalities we get,
[tex]x= 12\\ \\y =2[/tex]
As shown in the diagram drawn , point of intersection is (12,2) for the given inequality.
Substitute the value of 'x' and 'y' in (1) to get the maximize profit ,
Maximize profit ' P' [tex]= 2.50(12) + 4 (2)[/tex]
[tex]= 30 + 8\\= \$38[/tex]
Hence, to maximize the profit of $38 , baker should make 12 loaves of banana bread and 2 loaves of pumpkin bread.
Learn more about profit here
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