[tex]\bf u\implies \begin{cases} (14,-6)\\ (-4,7) \end{cases}\implies (-4-14)~,~(7-(-6)) \\\\\\ (-18) ~,~(7+6)\implies \stackrel{\textit{component form}}{\ \textless \ -18~,~13\ \textgreater \ } \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ||u||=\sqrt{a^2+b^2}\implies ||u||=\sqrt{(-18)^2+13^2}\implies ||u||=\sqrt{493}[/tex]
The component form of vector u is (-18, 13) and its magnitude is approximately 22.2.
Explanation:The subject of this question is vector algebra, specifically finding the component form and magnitude of a vector. The component form of a vector is found by subtracting the coordinates of the initial point from the terminal point. Thus, the component form of vector u with initial point at (14, -6) and terminal point at (-4, 7) is (-4-14 , 7-(-6)) = (-18, 13).
To find the magnitude of a vector, you use the formula which is the square root of the sum of the squares of the components. So for vector u, the magnitude is found by calculating √((-18)² + 13²) = √ (324 + 169) = √493, which is approximately 22.2.
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Hi this is for texaschic101 mainly but anyone else is fine too.
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I’ve just done this question based on what texaschic101 told me on the other question, can anyone check if I’ve done it right? Thanks
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Question is find the values of x and y in the diagram.
In the diagram, SR = and QR = . What is the perimeter of parallelogram PQRS?
A. √10 units
B. 8√2 + 2√10 units
C. 16√2 units
D. 8√2 + 8 units
Answer:
B. [tex]8\sqrt2+2\sqrt{10}[/tex] units
Step-by-step explanation:
We are given that a parallelogram PQRS in which point P(-2,5), Q(2,1),R(1,-2) and S(-3,2).
We have to find the perimeter of parallelogram PQRS.
Distance formula : [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Using the formula
[tex]SR=\sqrt{(1+3)^2+(-2-2)^2}=4\sqrt2[/tex]units
[tex]QR=\sqrt{(1-2)^2+(-2-1)^2}=\sqrt{10} units[/tex]
Now, the perimeter of parallelogram =2(SR+QR)
The perimeter of parallelogram =[tex]2(4\sqrt2+\sqrt{10})=8\sqrt2+2\sqrt{10} units[/tex]
Answer:B. [tex]8\sqrt2+2\sqrt{10}[/tex] units
k over 2 -10 = 25 solve for k
The length of a rectangle is 3 more than 4timesthe width . If the length of the rectangle is 27 feet what is the width
Is the following relation a function?
Circle centered at the origin with radius 1
Yes
No
No, if you do the vertical line test( draw a vertical line on each graph line that hits the circle) if the lline touches more than one point AT ANY TIME it is not a function. So in this case it is not a function
Answer:
Nooooooooooooo
A rectangular auditorium seats 1564 people. the number of seats in each row exceeds the number of rows by 1212. find the number of seats in each row.
Your Turn: Find the measure of angle P below. Show your work. *
When asked his age, the algebra teacher said, “if you square my age, then subtract 23 times my age, the result is 50.” how old is he?
What is the difference between associative and distributive property?
Which function is a quadratic function? c(x) = 6x + 3x3 d(x) = x – 8x4 p(x) = –5x – x2 k(x) = 2x2 + 9x4
Answer: –5x – x2
Step-by-step explanation:
edge.
How many subsets of three elements each exist in a set of six elements?
What is the annual bonus for a salesperson who sells 55 cars?
A.150
B.825
C.1,500
D.8,250
Por favor necesito
ayuda(please i need help)
Answer:
$825 dollars
Step-by-step explanation:
is the answer i belive hope this helps
Please help fast and answer all questions thank you.
What is the value of x? 3/ 4 x+5− 1 /2 x=3 please help
Which is the area of a circle with circumference of 15.7 units?( Use 3.14 for )
Help,, what is y??????????????????
(01.05) given the point (4, 5) and the slope of 6, find y when x = 24. (1 point) 118 144 125 149
What is the number that is one half of one quarter of one tenth of 400?
1/10 of 400 = 40
1/4 of 40 = 10
1/2 of 10 = 5
the number is 5
You earned 34,000 and your total tax due was 6,200 what was your average tax rate
Mary has five-eighths of the total of pencils her and her sister own. Together, they have 96 pencils. How many pencils does Mary have?
Please help! Giving Brainliest! 1.How many college students are majoring in elementary education?
A.30
B.70
C.300
D.There is not enough information to tell.
2.Which major has the fewest number of students? (1 point)
A.Business
B.Computer programming
C.Elementary education
D.Engineering
E.Medical
Can someone please clearly explain how to correctly work out Q6? Much appreciated
s =1/2(u+v)t
u = 16, v=16, t=90
s = 1/2(16+16)90
s = 1/2(36)90
s = 16*90
s = 1440
ram wants to work to preserve marine habitats. Which field of study would be most useful to him
A) Meteorology
B)Zoology
C)Oceanography
D)Botany
Darrel is currently 20 feet below sea level. which correctly describes the opposite of darrel's elevation?
Answer:
Darrel is 20 ft above sea level.
Step-by-step explanation:
We have been given that Darrel is currently 20 feet below sea level.
This means that Darrel's elevation would be [tex]-20[/tex] ft.
The opposite of Darrel's elevation would be negative of [tex]-20[/tex] ft.
[tex]-(-20)=20[/tex]
Since opposite of Darrel's current elevation is positive 20 ft, therefore, Darrel is 20 ft above sea level.
What is a counterexample for the conjecture?
Conjecture: The product of two positive numbers is greater than the sum of the two numbers.
solve the literal equation for y a=9y-3yx
Final answer:
To solve the literal equation for y in the given equation a=9y-3yx, we can rearrange the terms and isolate y on one side. The solution for y is (a - 9y) / (-3x).
Explanation:
To solve the literal equation for y, we need to isolate y on one side of the equation.
Given the equation a = 9y - 3yx, we can start by rearranging the terms.
Subtract 9y from both sides:
a - 9y = -3yx
Divide both sides by -3x:
(a - 9y) / (-3x) = y
So, the solution for y is (a - 9y) / (-3x).
Final answer:
To solve the given literal equation for y, factor out y and then divide by (9 - 3x) to obtain the equation y = a / (9 - 3x), which allows y to be expressed in terms of a and x.
Explanation:
To solve the literal equation for y given as a = 9y - 3yx, we want to isolate y on one side of the equation. To do this, we first factor out y from the terms on the right side of the equation:
a = y(9 - 3x)
Next, we divide both sides of the equation by (9 - 3x) to get y by itself:
y = a / (9 - 3x)
This equation represents the value of y in terms of a and x. In the context of a linear equation, such as y = 9 + 3x, the number 9 is the y-intercept (denoted as the b term), and the number 3 is the slope (denoted as the m term).
15% of 20 is _____.
3
30
300
Answer:
It would be 3
Step-by-step explanation:
How to find the angle of a non right triangle with its sides?
A supplement of a given angle is 4 times as large as the complement of the angle. what is the measure of the angle?
Write each statement in if-then form.
3. “Those who do not remember the past are condemned to repeat it” (George Santayana)
4. Adjacent angles share a common vertex and a common side