Answer: [tex]-3\hat{i}-6\hat{j}+2\hat{k}[/tex]
Step-by-step explanation:
Given
[tex]\vec{a}=2\hat{i}+4\hat{j}-5\hat{k}\\\vec{b}=\hat{i}+\hat{j}+\hat{k}[/tex]
[tex]\vec{c}=\hat{j}+2\hat{k}[/tex]
The addition of the three is [tex]\vec{a}+\vec{b}+\vec{c}[/tex]
[tex]\vec{a}+\vec{b}+\vec{c}=(2\hat{i}+4\hat{j}-5\hat{k})+(\hat{i}+\hat{j}+\hat{k})+(\hat{j}+2\hat{k})[/tex]
[tex]\vec{a}+\vec{b}+\vec{c}=3\hat{i}+6\hat{j}-2\hat{k}[/tex]
vector opposite to the vector [tex]\vec{a}+\vec{b}+\vec{c}\ \ \text{is}\ -(\vec{a}+\vec{b}+\vec{c})[/tex]
[tex]\therefore -(\vec{a}+\vec{b}+\vec{c})=-3\hat{i}-6\hat{j}+2\hat{k}[/tex]
Solve the system of equations
2x+3y= 6
x+y=4
(6,-2)
(-2,6)
(-3, 4)
(0, 2)
Answer:
Step-by-step explanation:
2x+3y= 6 ========================>>> 2x + 3y = 6
x+y=4 ===== times both sides by 2 =====>>> 2x + 2y = 8
==== subtract these two equations ==>> (2x - 2x) + (3y - 2y) = 6 - 8
0x + y = -2
y = -2 so if x + y = 4 plug in -2 where y was
x + (-2) = 4 add 2 to both sides
x = 6
(6,-2)
(-2,6)
(-3, 4)
(0, 2)
The total cost of a sweater and a pair of pants was $89.47. If the price of the sweater was $8.53 less than the pair of pants, what was the price of the sweater? Express your answer as a simplified fraction or a decimal rounded to two places.
Answer:
Let S = price of sweater
Let P = price of pants
S + P = 89.47 because that was the total spent
S = P - 8.53 because the sweater is 8.53 less than pants
Substitute P-8.53 in place of S in the
1st equation and solve for P
P - 8.53 + P = 89.47
2P - 8.53 = 89.47 add 8.53 to both sides
2P = 89.47 + 8.53
2P = 98.00 divide both sides by 2
P = 98.00/2
P = $49.00
S = P - 8.53
S = 49.00-8.53
S = $40.47
A sweater costs $40.47 and the pants cost $49.00
4x - 7y = -40
3x - 2y = -4
Please help me! Anything is appreciated!
Answer:
it wont let me download the pdf :/
Dvide if the polynomial does not divide evenly. Include the remainder as a fraction (18u^2 - 142u - 11) ÷ (u - 8)
Answer:
18u + 2 + 5/(u - 8)Step-by-step explanation:
(18u^2 - 142u - 11) ÷ (u - 8) 18u^2 - 142u - 11 = 18u^2 - 8*18u + 2u - 11 = 18u(u - 8) + 2u - 16 + 5 =18u(u - 8) + 2(u - 8) + 5 =(18u + 2)(u - 8) + 5(18u^2 - 142u - 11) ÷ (u - 8) = 18u + 2 + 5/(u - 8)Answer:
18u + 2 + 5/u - 8.
Step-by-step explanation:
(18u^2 - 142u - 11) ÷ (u - 8)
= 18u + 2 + 5/u - 8.
Write the first 6 terms of the sequence.
an= -n2+6
Please show work
Answer:
Step-by-step explanation:
[tex]a_{n}=-n^2+6\\a_{1}=-1^2+6=5\\a_{2}=-2^2+6=2\\a_{3}=-3^2+6=-3\\a_{4}=-4^2+6=-10\\a_{5}=-5^2+6=-25+6=-19\\a_{6}=-6^2+6=-36+6=-30[/tex]
PLEASE HELP I HAVE 30 MINUTES UNTIL CLASS ENDS PLEASE HELP
Answer:
12 stamps
Step-by-step explanation:
6 divided by 0.50 = 12
Answer: it’s 12
Step-by-step explanation: all I did was multiplied 6 by .50
Hope this helps!
what number is 6% of 850?
Answer:
51 is 6% of 850
Step-by-step explanation:
0.06*850
Name the marked angle in 2 different ways.
Answer:
acute is one of the i hope this helps
A baker needs 40 fluid ounces of milk for a chocolate cake recipe and 64 fluid ounces of milk for a carrot cake recipe. How many cups of milk does the baker need for the carrot cake and the chocolate cake recipes combined?
Answer:
104 ounces
Step-by-step explanation:
40+64= 104
.......
Josiah had 128 toy cars. If he organizes them into groups of 7 , how many cars will be in the final group?
Answer:
2
Step-by-step explanation:
128divided by 7 = 126
hwlp me i need help PLZZZZZZZZZZZZZZZZ
My bad
the answer is 16
I'm going to refrain from answering area problems from now on. Deepest Apologies
6 is 4% of what
number?
Answer:
150
Step-by-step explanation:
since 4 percent would have to be multiplied by 25 to get 100 you have to multiply 6 by 25. This comes out to 150. You can even check this by doing 150 times 0.04 which is 6 so we are correct!
Seth is using a large shoe box to store his baseball cards. The length and the width of the box are each 12 inches, and the height is 6 inches. Which of the following equations could be used to find the volume of Seth's shoe box?
Answer:
Step-by-step explanation:
Hi
Answer: v = (6)(12)
Step-by-step explanation:
Please help quarter ends tomorrow and I don’t know what to do I’m failing all my classes
Answer:
I believe the answer is y=x+-13
Step-by-step explanation:
what is the mean, median, mode and range of 7, 2, 1, 4, 1
hey!!! please answer this asap it is an emergency!!!
whoever answers first and gets it right will be marked brainliest!!!
Answer:
my bad yall, I seen the comments!! it's 12
Step-by-step explanation:
I'm so sorry!!
Answer:
Okay, i'm not being jugy but it it is super easy... it is 12 only because 1x12=12, 2x12=24, 3x12=36, and 4x12=48!!
it is most definately 12 DON'T WORRY
In the following diagram, m AC=97º and m CD= 112°. Find the measure of angle
x.
Answer:
In the diagram, assume that segments are tangents if they appear to be. Find the ... Find the length of an arc with measure 62° in a circle with radius 2 m. 21. I hope this helps u
Step-by-step explanation:
Pls help me find the area in this pic!
Round 188,206 to the nearest thousand
Did Sammy eat more blueberries on Monday or on
Monday or on Tuesday? Explain
your reasoning.
Answer: Sammy says he was hungry on Monday so that's why he ate more blueberries than Tuesday
Step-by-step explanation:
A dog shelter has 22 poodles. The number of poodles is doubling every year. How long before the shelter has 22,528 poodles?
Please help
Answer:
I think 1024 days? Which is around 2 years...
Can someone help me find this
Answer:
it should be 90 degrees
Step-by-step explanation:
...........................
Solve for x
help pls
Answer:
this is the answer!
Step-by-step explanation:
Please help me!
----------------------------
Answer:
It should be D because you start off with the X coordinate then y
if the angle of elevation from the point on the ground to the top of the tree is 34° and the point is 25 feet from the base of the tree what is the height of the tree? The answer is 16.9 but I need help with part 2 “if the tree grows an additional 10 feet, what is the new angle of the elevation from the point 25 feet from a he base of the tree to the top of the tree? A) 42.3° B) 47.1° C) 49.8° D) 54.6°
Answer:
It’s c I did it on USA test prep
Step-by-step explanation:
Please help me on maths
Answer:
x = 25
Step-by-step explanation:
x + 25 + 2x - 10 + 90 = 180
3x + 105 = 180
3x = 75
x = 25
Which value is equivalent to (36)3?
A.
32
B.
33
C.O 39
318
Answer:
108
Step-by-step explanation:
36(3)=108
The correct answer is not on the answer choice.
Whichever answer is the closest to 108, choose it.
HELP!!! NEED HELP!!!!
Answer:
C
Step-by-step explanation:
Please help!! I'll give brainliest and the rest!!
Answer:
C. 4c < 60
Step-by-step explanation:
Isabell + 3 sisters
good luck, i hope it helps :)