Position vectors u and v have terminal points of (-6, 3) and (4, -2), respectively. Find the resulting terminal point of 2v - u.
(14, -7)
(2, 1)
(14, 1)
(2, -7)
Answer:
(14 , -7)
Step-by-step explanation:
terminal points: A (-6,3) B (4,-2)
u = x₁ + i y₁ u = -6 + i3
v =x₂ + iy₂ = 4 - i2 2v = 8 - i4
2v - u = (8 - i4) - (-6 + i3) = 14 -i7
Resulting terminal point: (14 , -7)
Position vectors u and v have terminal points of (-6, 3) and (4, -2), respectively. Find the resulting terminal point of 2v - u.
(14, -7)(2, 1)
(14, 1)
(2, -7)
Identify the interval(s) on which the function y = 2x^2 - 8x - 10 is positive.
A. -1
B. x < -1 and x > 5
C. -5
D. X<-5 and x > 1
Given:
[tex]y=2x^2-8x-10[/tex]
To find:
The interval(s) on which the given function is positive.
Solution:
We have,
[tex]y=2x^2-8x-10[/tex]
[tex]y=2(x^2-4x-5)[/tex]
[tex]y=2(x^2-5x+x-5)[/tex]
[tex]y=2(x(x-5)+1(x-5))[/tex]
[tex]y=2(x+1)(x-5)[/tex]
For zeroes, [tex]y=0[/tex]
[tex]2(x+1)(x-5)=0[/tex]
[tex]x=-1,x=5[/tex]
-1 and 5 divide the number line in three parts [tex](-\infty , -1),(-1,5),(5,\infty )[/tex].
Interval Selected Value [tex]y=2(x+1)(x-5)[/tex] Sign
[tex](-\infty,-1)[/tex] -2 [tex]y=2(-2+1)(-2-5)=14[/tex] +
[tex](-1,5)[/tex] 0 [tex]y=2(0+1)(0-5)=-10[/tex] -
[tex](5,\infty)[/tex] 6 [tex]y=2(6+1)(6-5)=14[/tex] +
So, the function is positive for interval [tex](-\infty,-1)[/tex] and [tex](5,\infty)[/tex].
We can say that the function is positive for interval x < -1 and x > 5.
Therefore, the correct option is B.
PLSSSSSSSSSSSSSSS HELP ME I WILL GIVE BRAINIEST
Answer:
The answer is A
Step-by-step explanation:
The body of a dump truck is raised to empty a load of dirt. How high is the 10 inch body from the frame when it is tipped upward at 45 degrees
Answer:
7.071inches
Step-by-step explanation:
The set up is a right angled triangle
Given 'angle of elevation = 45 degrees
The length of the frame = 10in (hypotenuse)
Required
Height of the truck h (opposite)
Using the SOH trig identity
sin theta = opposite/hyp
sin 45 = h/10
h = 10sin45
h = 10(0.7071)
h = 7.071 in
Hence the height of the truck is 7.071inches
Function or not? {(2,4)(2,-6)(3,-1)}
Answer:
Not
Step-by-step explanation:
There cannot be the same two inputs and have different outputs
HELP ME PLLLEEASSEE!!
Answer:
C
Step-by-step explanation:
bc i’m right
93 = 3(j − 64) help plz
Answer:
95
Step-by-step explanation:
I WiLL GiVe BrAnYeSt
Molly has 7,406 stickers in her collection. She wants to put them into a book. She can fit 14 stickers on each page. How many pages will she need? (1 point)
A.520
B.529
C.538
D.547
Answer:
the answer is 529
Step-by-step explanation:
divide 7,406 and 14 and the answer is 529
whats 937478485873737+98477573838837÷83747478483838??jjdjf?
Answer:
9.3747849e+14
Step-by-step explanation:
Djdjeieiwnqn
Step-by-step explanation:
Find the slope of the line
Answer:
1/2 is the slope
Step-by-step explanation:
By using the graph provided, you can count the lines and go up 1 and over 2. Hope this helped!
L. Han ran 10 meters in 3 seconds, Priya ran 10 meters in 4 seconds, a. Who ran faster? Explain how you know,
Answer:
L. Han
Step-by-step explanation:
L. Han only took 3 seconds and Priya took 4 seconds so L. Han won by one second.
Hope this helps!
Brainiest?
Totally blanking on how medians work
===============================================
The three medians of this triangle are:
PFREQDThese segments go from one vertex to the midpoint of the opposite side.
The median we'll focus on is PF.
The point C is the centroid of the triangle. It's where the three medians intersect. It turns out that C divides PF such that CF is twice as long as PC
In other words,
CF = 2*PC
This means,
PF = PC+CF .... segment addition postulate
PF = PC+2*PC ... replace CF with 2*PC
PF = 3*PC .... combine like terms
So the median PF is three times the length of its portion PC
We're told that PF = 24
We can then find the following:
PF = 3*PC
24 = 3*PC
3*PC = 24
PC = 24/3
PC = 8
Then we double this to get the length of CF
CF = 2*PC
CF = 2*8
CF = 16
This is the same as FC because the order of the endpoints don't matter when it comes to naming a segment.
The final answer is 16.
A room is 8 meters
long. How many
centimeters is the
room?
Answer:
800 centimeters:))
There is 800 cm in the room.
To convert a meter measurement to a centimeter measurement, multiply the length by the conversion ratio. The length in centimeters is equal to the meters multiplied by 100.
How many centimeters is the room?
A room is 8 meters long.
A room is 1 meter long = 100cm
A room is 8 metres long = 8*100cm = 800 cm.
Learn more about units on : https://brainly.com/question/20788801
#SPJ2
can anyone help please...........????
Answer:
112 Degrees
Step-by-step explanation:
The other angle is inverse making X also 112 Degrees
HELP PLEASE!!
The question: Are these two quantities in a proportional relationship? Explain why or why not. Use number or words to explain your answer.
Answer:
Yes it is correct.
Step-by-step explanation:
It is correct because .75 time 3 is 2.25 and .75 times 4 is 3.00 and .75 times 6 equals 4.50 and .75 times 8 equals 6.00.
Bo, Ryan and Zachary went for a walk. They walked 1/4 miles from school to Bocas House. Then they walked 4/6 miles From Paul’s house to the park. What is the total distance with the boys walked?
Answer:
Total distance walked by boys = [tex]\frac{11}{12}[/tex] miles
Step-by-step explanation:
Given that:
Distance walked from school to Bocas house = 1/4 miles
Distance walked from Paul's house to the park = 4/6 miles
Total distance walked = [tex]\frac{1}{4}+\frac{4}{6}[/tex]
Total distance walked = [tex]\frac{3+8}{12}[/tex]
Total distance walked = [tex]\frac{11}{12}[/tex] miles
Hence,
Total distance walked by boys = [tex]\frac{11}{12}[/tex] miles
find the slope it is due today
Answer: ▽▽
Step-by-step explanation: m = slope
m = y2 - y1 / x2 - x1
3.) (-2, 0) (0, -4)
-4 - 0 / 0 - (-2)
-4 - 0 / 0 + 2
-4 / 2
-2
m = -2
4.) (0, 4) (2, 0)
0 - 4 / 2 - 0
-4 / 2
-2
m = -2
I feel I did smth wrong so I hope this is correct!
Substitute x=-2y into the expression 6x-7 and simplify
Answer:-12y -7
Step-by-step explanation: I think
Answer:
-12y - 7
Step-by-step explanation:
x = -2y
6x - 7 or 6(-2y) - 7
-12y - 7
Find the length of the third side to the nearest tenth.
Answer:
2.2
Step-by-step explanation:
9-4=5
[tex]\sqrt{5} =2.2361[/tex]
2.2
below this text is the question
There are 230 students in the six grade and 1/5 of them have green eyes how many six graders have green eyes
Answer:
46 of the sixth graders have green eyes.
Step-by-step explanation:
This question is asking what number of the 230 sixth graders have green eyes.
We know that one out of every five of them, or 20%, have green eyes.
1/5 = 0.2
If we multiply 0.2 by the total number of sixth graders, that leaves us with 46, meaning that 46/230 sixth graders have green eyes.
I hope this helps!
Assuming the lines are evenly spaced between the integers, what number, in decimal notation, is represented by the plotted point?
Answer:
-1.4
Step-by-step explanation:
There are five increments between -2 and -1, so we find the difference between -2 and -1, which is 1. Divide 1 by five (increments)=.2
This means that every increment is worth 0.2.
If we see it from the left to right, from -2, there are 3 increments to the right, so multiply three by 0.2 which is 0.6, add 0.6 to -2, which is -1.4.
Hope this helps!
What is the quotient of 154,504 divided by 28
Answer:
5518
Step-by-step explanation:
This shows the trapezoid cut into two triangles what are the areas of the two triangles?
Which math expression means "the product of an unknown number and 110"? O A. x+110 B. X. 110 C. X-110 D. x+ 110 please help me i give you 20 points and follow you
Answer:
x*110
Step-by-step explanation:
Answer:
It is B: x * 110
Step-by-step explanation:
Y=5+2x fill in the table using this function rule
Step-by-step explanation:
hope it helps you..........
How many solutions exist for the given equation?
x+12) = 4x-1
EEEE
O zero
O one
two
O infinitely many
Answer:
One answer exists for this equation.
PLEASE ANSWER ASAP FOR BRANLEST!!!!!!!!!!!!!!!
Solve the equation
1/4t - 6 = -4
what is t?
Answer:
t = 8
Step-by-step explanation:
can you help me with something
Answer:
D. 1
Step-by-step explanation:
7,491 times 19 yields 142, 329
Answer:
Step-by-step explanation:
Dans une operation de promotion, un magasin accorde une remise de 5% sur les prix affiché.
Le montant de la remise est-il proportionnel au prix affiché? Quel est le coefficient de proportionnalité? Le montant du prix a payer après remise est-il proportionnel au prix affiché?
Determiner la fonction f qui, au prix affiché x, fait correspondre le prix a payer après remise.
Representer graphiquement la fonction f pour 0<x<1000
[ 6 × ( 4 + 2 ) − 6 ] ÷ 3 can you plz give me the anwers plz and the right anwers
Answer: 10
Step-by-step explanation: I think
Answer:
Step-by-step explanation:
Solution:
=6×6-6÷3
=36-6÷3
=30÷3
=10