Answer:
They are not.
Step-by-step explanation:
Let's first calculate the vectors joining the first point to the second and the first to the third, they will be useful later.
[tex]\vec v_1_2 = \vec P_2 -\vec P_1 = <3; -7; -7>\\\vec v_1_3= \vec P_2 -\vec P_1 = <6; -14; -13>[/tex]
At this point we have at least three options:
Write down the line between P1 and P2 in vector form, and then see if we can fit the third point in there.
Calculate the cross product between the two, if it's non-zero the three point are not in a line.
Try to determine the plane passing for the 3 points: if we find one they are not in a line.
Option 1:
The vector form of the lne between the firs two points is [tex]<6+3t;9-7t;7-7t>[/tex]. Let's check the coordinates of the third point:
[tex]x_3:\ 6+3t= 12 \rightarrow t=2\\y_3:\ 9-7t = -5 \rightarrow t =2\\7z_3:\ 7-7t=-6 \rightarrow t = 13/7\ne 2[/tex]
So the three points are not in a line.
Option 2:
Let's calculate the cross product of the two vectors we found at the beginning.
[tex]\vec v_1_2 \times \vec v_1_3 = det \left[\begin{array}{ccc}\hat i&\hat j&\hat k\\3&-7&-7\\6&-14&-13\end{array}\right] = \hat i [-7(-13)-(-14)(-7)] - \hat j[3(-13)-6(-7)]+\hat k [3(-14)-6(-7)] = 7\hat i -3 \hat j + 0 \hat k \ne 0[/tex]
Since the result is not the null vector, the three points are not in a line.
Option 3:
Let's write the plane (in the [tex]z= ax+by+c[/tex] form that contain the three points. If the thre points are in a line, means that we can find only two of these parameters.
[tex]P1: 7= 6a+9b+c\\P2: 0= 9a+6b+c\\P3: -6= 12a-5b +c[/tex]
Since you can determine a, b and c ( I ended up with [tex]a=-\frac {10}3; b=-\frac18; c= \frac{123}8[/tex] but I probably messed something in there) the thre points are not in a line
The speed of an object is the ratio of its distance traveled to time. If the speed of a bicycle is 4.5 meters per second, what is the distance traveled in 9 seconds?
Answer:
Step-by-step explanation:
9(4.5) = 40.5 m
if b=p+5 and a=p^2+10p+1 find an expression that equals 2b+3a in standard form
Answer:
3p² + 32p + 13
Step-by-step explanation:
Okay, so lets first solve for 2b. 2b = 2(p + 5), which is equal to 2p + 10. Now, let's solve for 3a. 3a = 3(p² + 10p +1), simplifying to 3p² + 30p +3. After adding 2b and 3a, we are able to get 2p + 10 + 3p² + 30p + 3 = 3p² + 32p + 13
Answer:
3p² + 32p + 13
Step-by-step explanation:
3p² + 32p + 13
Fast indeed help on this !! ( ty )
Answer:
32
Step-by-step explanation:
First, draw some line for about 4 lines in the double number line.
Now in the bottom, it counts by 15 according to the word problem.
And in the top, count by 8.
Now finally, if you reach 60, write your final number. 32.
woohoo you did it lol
Is it possible for a fifth degree polynomial function with
integer coefficients to have no real zeroes?
Help pls ASAP plssss is sims ska and d
What is 15.56 rounded to the nearest tenth?
Answer: 15.6
Step-by-step explanation:
In 15.56, the digit in the tenths place is the second 5. 15.56. So look at the hundredths place (6). If the digit in the hundredths place is smaller than 5, round down. If it's 5 or more, round up. 6 > 5, so we round the tenths place up by one number to get 15.6.
Find the value of x in each case.
Answer:
Step-by-step explanation:
To find x
Â= 180⁰-8x (angle on a straight line)
B= 180- 9x (angle on a straight line)
:. G + Â + B = 180⁰ ( sum of angles in a triangle)
5x + 180⁰ - 8x + 180⁰ - 9x = 180⁰
5x -8x - 9x + 180⁰ +180⁰ = 180⁰
-12x + 360⁰ = 180⁰
360⁰ - 180⁰ = 12x
180⁰ = 12x ( divide both sides by 12)
x = 15⁰
Please help! I'm confused
The solution to the equation f(x) = g(x) is any x-value that makes the equation true. In terms of using graphs, the solutions are the x-coordinates of any point of intersection.
So if the graphs intersect at (1,5), then the solution is x=1.
This checks, because f(1) = 5 and g(1) = 5, so f(1) = g(1).
Let 2m - 1 be a prime number. Prove that m is also a prime number
Answer:
False.
Step-by-step explanation:
This is false.
A Counterexample:
7 is prime.
2(4)-1 is 7.
4 is not prime.
Another Counterexample:
11 is prime.
2(6)-1 is 11.
6 is not prime.
Answer:
If m=2 (which is a prime number), then 4-1=3, 3 is a prime number.
Step-by-step explanation:
8/27 simplified as an exponent
Answer:
what is an exponent bro ;-;
Kaylee needed to fold 586 paper notices for a fundraiser. The notices would be mailed in 22 days. Which expression gives the best estimate of the number of notices she must fold each day to meet her goal?
A.
500
÷
20
B.
500
÷
30
C.
600
÷
20
D.
600
÷
30
Answer: C
Step-by-step explanation: Round to the nearest 100
is a function f(x)= 1/x odd or even?
Answer:
the function is odd.
Step-by-step explanation:
f(x) is even if f(−x)=f(x) . f(x) is odd if f(−x)=−f(x) . Since −1x=−f(x).
Answer:
Odd
Step-by-step explanation:
There are two ways a function can be determined even or odd.
1. Graph
If the line of symmetry is the y=axis, the function is even.
If it can be rotated 180˚ about the origin and lines up with the original equation, it is odd.
If none of the cases above are satisfied, the function is neither.
2. f(-x)
If you substitute -x for x and you get the equation to be the same as before, the function is even.
If you substitute -x for x and you get the previous equation * -1, the function is odd.
If none of the cases above are satisfied, the function is neither.
I need help... pls.
Answer:
Administer 14 ml, 350mg/125mg=2.8×5ml=14ml
For each of the 4 walls of the house, John will need 9 large
planks of wood. If each plank of wood needs 8 pieces of nails
to be secured, how many nails does John need for each wall
of the house?
Chris rented a truck for one day. There was a base fee of $14.99, and there was an additional charge of 75 cents for each mile driven. Chris had to pay
$167.24 when he returned the truck. For how many miles did he drive the truck?
M miles
Answer:
Chris drove the truck 203 miles.
Step-by-step explanation
So, first I subtracted the base free cost of the amount he paid and got $152.25. Then, I divided $152.25/0.75 and got 203. S0, that's how I got the answer. I subtracted the base free because we know he had to pay that initially and then I just divided the rest of the money he had to pay by 0.75 because he was charge 0.75 per mile driven.
What would you do if you found out that you wrote a cheque of $78 but it was recorded as $98 in check register?
Step-by-step explanation:
I'll go to the cashier and says it's wrong cheque
Write 12 as a product of primes. Use index notation when giving your answer
or
[tex]12 = {2}^{2} \times 3[/tex]- BRAINLIEST answerer
A rectangle has length 72 cm and width 56 cm. The other rectangle has the same area as this one, but its width is 21 cm. What is the length of the second rectangle?
Answer:
Step-by-step explanation:
As given, the other rectangle has the same area as this one, but its width is 21 cm. Hence, length is 192 cm.
For which function is the ordered pair (2, 12) not a solution?
A) y= 6 x
B) y= x - 10
C) y= 14 - x
D)y= x + 10
Answer:
option b
Step-by-step explanation:
y=12 x=2
12 is not equal to 2-10.
lemme know if you didn't understand
Help help me help help
A construction company can remove 3/8 tons of dirt from a construction site each hour. How long will it take them to remove 24 tons of dirt from the site
Answer:
64 hours
Step-by-step explanation:
(3\8) times 64 (hours) equals 24 (tons of dirt)
Suppose that the radius of a sphere is divided by 9. What happens with the surface area?
Answer:
Rad/9
Step-by-step explanation:
About how tall would you expect one of these trees to be after 22 years? 22.31ft. 35.2ft. 44.25ft. 46.2ft.
Answer:
The correct answer is C, 44.25. I just took the test....
Step-by-step explanation:
help me with math and ill mark brainliest
Answer:
I and II
Step-by-step explanation:
All trapezoids have a midsegment. The base angles of isosceles trapezoids are always congruent. Because the top and bottom side are parallel, the same side interior angles are supplementary not complementary.
you will receive cookie and 100 points if you help me
Answer:
-8.45
Step-by-step explanation:
Look at -10 and 0 on the number line. I used a ruler to help me, and found that A and B were about 1 - 1.3 cm apart. I looked at the options and found that -8.45 was the closest.
However, another way you could of worked this out would be to look at your options and eliminate the ones you know don’t work. Then look at your options available and work it out from there.
y = 4x – 1 with inputs x = -3, x = -2, and x = -1
Part 1. If x = -3 the equation would be. Y = -12-1 which would be Y= -13
Part 2. If x = -2 the equation Y = -8-1 which would be Y = -9
Part 3. If x = -1 the equation would be. Y =-4-1 which would be Y = -5
[tex]\lim_{n \to \infty} (xe^{x} )/x+e^{x}[/tex]
[tex] \: \: \: \: [/tex]
[tex] lim_{n→ \infty }( \frac{xe ^{x} }{x + ex} ) [/tex]
the limit of a constant is equal to the constant[tex] \frac{x {e}^{x} }{x + ex} [/tex]
simplify the expression[tex] = \frac{ {e}^{x} }{1 + e} [/tex]
hope it helps[tex] \: \: \: [/tex]
A large box contains 12 medium boxes and 18 small boxes. Each small box contains 25 chocolate bars while there are 20 vanilla bars in each medium box. How many chocolate bars are in a large box?
Answer:
Step-by-step explanation:
The answer is there are 450 chocolate bars in the large box because the small box has 25 chocolate bars and it is 18 small boxes in a large box so you will have the problem of 18 x 25= 450
Surface integrals of vector fields Find the flux of the following vector fields across the given surface with the specified orientation . You may use either an explicit or parametric description of the surface across the slanted face of the tetrahedron x in the first octant ; normal vectors point upward . F= langle0,0,-1 rangle; z = 4-x - y
Step-by-step explanation:
Surface integrals of vector fields Find the flux of the following vector fields across the given surface with the specified orientation. You may use either an explicit or a parametric description of the surface. F =( 0,0,-1) across the slanted face of the tetrahedron Z=4-x-y in the first octant; normal vectors point upward
720 is what percent of $800?
the answer is 90 hope this help.