Given the points P(2, –6) and R(8, 3), what is the component form of Vector P R?
⟨6, -3⟩
⟨10, -3⟩
⟨6, 9⟩
⟨10, 9⟩
Answers
Answer:
C
Step-by-step explanation:
The component form of vector PR is ⟨6, 9⟩.
How to determine the component form of vector PRTo find the component form of vector PR, we need to subtract the coordinates of point P from the coordinates of point R.
The x-component of the vector is obtained by subtracting the x-coordinate of point P from the x-coordinate of point R:
x-component = 8 - 2 = 6
The y-component of the vector is obtained by subtracting the y-coordinate of point P from the y-coordinate of point R:
y-component = 3 - (-6) = 3 + 6 = 9
Therefore, the component form of vector PR is ⟨6, 9⟩.
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Related Questions
Select the equation that shows a proportional relationship between x and y. Oy - 2x + 4 oys 5x O y = 3x - 5 OY-5.8
Answers
Given:
There exist a proportional relationship between x and y.
To find:
The equation which represents a proportional relationship between x and y.
Solution:
If there exist a proportional relationship between x and y, then
where, k is constant of proportionality.
We know that, proportional relationship passes through the origin because (0,0) satisfy .
For x=0, check which equation has y=0.
In option A, .
In option B, .
In option C, .
In option D,
Only in option C, we have a equation of the form with 4 as constant of proportionality and it passes through (0,0).
Therefore, the correct option is C.
Answer:
You can give China brainiest.
Step-by-step explanation:
According to the boxplot shown below, what is the third quartile (Q3) value?
4
11
27
49
Answers
Answer:
Step-by-step explanation:
the answer is 49.0 so it’s d I just took the test
Joe has to get 80% overall in his 3 tests. He gets 60% in one of them. How much percentage does he need for both of the exams to get 80% overall?
Answers
Answer:
80%
90%
Step-by-step explanation:
BRAINLIEST PLEASE
Determine the equations you would use to represent the situation.
You sold 27 tickets total. Some of the tickets were student tickets and the rest were adult tickers.
You collected $170 selling the tickets. If the student tickets cost $5 and the adult tickets cost $10.
how many student tickets did you sell?
Answers
Answer:
You sold 20 student tickets.
Step-by-step explanation:
Given that:
Total tickets sold = 27
Total amount collected = $170
Cost of student ticket = $5
Cost of adult ticket = $10
Let,
x be the number of students tickets sold
y be the number of adult tickets sold
x+y = 27 Eqn 1
5x+10y=170 Eqn 2
Multiplying Eqn 1 by 10
10(x+y=27)
10x+10y=270 Eqn 3
Subtracting Eqn 2 from Eqn 3
(10x+10y)-(5x+10y)=270-170
10x+10y-5x-10y=100
5x=100
Dividing both sides by 5
[tex]\frac{5x}{5}=\frac{100}{5}\\x=20[/tex]
Hence,
You sold 20 student tickets.
A bag contains 1 blue, 2 green, 3 yellow, and 3 red marbles, as shown.Which best describes the complement of choosing a red marble?
choosing a green or blue marble
choosing any marble
choosing a blue, green, or yellow marble
choosing a yellow marble
Answers
Answer:
C) choosing a blue, green or yellow marble.
Step-by-step explanation:
The Complement of choosing a red marble means choosing any other marble that isn't red.
From the question , it was said that there were a blue , green, yellow and red marble.
So the Complement of choosing a red marble will be choosing any other marble apart from the red so ,that will be choosing a blue yellow or green marble.
Answer:
c
Step-by-step explanation:
-10x + 10x + 5x + 5 = 5
solve for x
Answers
Answer:
x = 0
Step-by-step explanation:
-10x + 10x + 5x + 5 = 5
5x + 5= 5
5x = 0
x = 0
Which one is it pls help
Answers
Answer:
c
Step-by-step explanation:
Answer:
C. yes because BC/ST = AC/RT
Hope This Helps!
CAN SOMEONE HELP ME ON THIS QUESTION ASAP IT IS DUE IN 10 MORE MINUTES
Answers
Answer:
90° degrees
Step-by-step explanation:
cause if you look closely inside the semi circle is a right angle and a right angle is 90°
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the maximum height reached by the rocket, to the nearest tenth of a foot. y=-16x^2+227x+109
Answers
Answer: y=914.1 feet max height
Step-by-step explanation:
write the slope intercept form of the equation of each line
Answers
Find the square root of the fraction 4/49.
A 2/7
B 7/2
C Cannot be done
Answers
Answer:
A
Step-by-step explanation:
2 times 2 = 4
7 times 7 = 49
2/7 = 4/49
Hope this helps!!!
An object launched straight puwar from the ground level wiht an initional velocity of 32 feet per second.The formula H=32T-16T^2 gives it heigtht,h,in feet after t second. At what time does the object hit the ground?
Answers
Answer:
2 secs after
Step-by-step explanation:
Given the height of the object modeled by the eqaution;
H(t) = 32T - 16T² where;
T is the time in seconds
The object hits the ground when h(t)= 0
Substitute H = 0 into the equation and get t as shown;
0 = 32T - 16T²
0-32T = -16T²
-32T = -16T²
32T = 16T²
32 = 16T
T = 32/16
T = 2secs
Hence the object hits the ground after 2 secs
The sides of a square field are 28 meters. A sprinkler in the center of the field sprays a circular area with a diameter that corresponds to a side of the field. How much of the field is not reached by the sprinkler? Round your answer to the nearest hundredth. Use 3.14 for π.
Answers
Answer:
168.24784 m²
Step-by-step explanation:
Area of the square:
28 x 28=784 sq. m.
Area of the circle:
π(r²)=π(14)²=196π
=615.75216
Area not covered by the sprinkler:
784-615.75216=168.24784 m²
Answer:
The sprinkler does not reach 168.56 m² of the field.
Step-by-step explanation:
Find the circular area sprayed by the sprinkler.
A = πr² Use the formula.
A = π(14)² Substitute. Use 14 for r.
A ≈ 3.14 × 14² Substitute. Use 3.14 for π.
A ≈ 3.14 × 196 Evaluate the power.
A ≈ 615.44 Multiply.
The area of the circular area is about 615.44 ft².
Find the area of the square field.
A = s² Use the formula.
A = 28² Substitute. Use 28 for s.
A = 784 Evaluate the power.
The area of the square field is 784 m².
Find how much of the field is not reached by the sprinkler. Subtract the circular area sprayed by the sprinkler from the area of the square field.
784 − 615.44 = 168.56
Describe why a negative times a negative equals a positive in your own words
Answers
Answer:
When you multiply a negative by a negative you get a positive, because the negative signs cancel each other.
Daniel's store sold 75% fewer pairs of shorts this month than last month. If the store sold 5 pairs of shorts this month, then _________ pairs of shorts were sold last month.
Answers
Answer:
EXACT ANSWER: 6.666666666667
ANSWER ROUNDED: 7
Step-by-step explanation:
lol, I can't explain well, but it's correct.
NEED HELP ASAP!
The sum of two numbers is 105. The larger number is 6 less than twice the smaller
number. What are the numbers?
Answers
Answer: x=68, y=37
Step-by-step explanation:
The equation for the sum of two numbers is 105 would be x+y=105. You can say the larger number would be x and the smaller would be y. So, x=2y-6. then you plug that into the x in the first equation.
2y-6+y=105
3y-6=105
3y=111
y=37
Then you would plug in the y to one of the equations. I will do the second one but you can do either one.
x=2y-6
x=2*37-6
x=74-6
x=68
Write the linear equation that gives the rule for this table. x f(x) 1 22 2 23 3 24 4 25 Write your answer as an equation with f(x) first, followed by an equals sign.
Answers
Answer:
umm that doesn't make a whole lot of sense if its multiple choice can you give us the options please sorry I couldn't answer
Step-by-step explanation:
16 pearls/20opals = 8pearls/ blank opals complete each equivalent ratio
Answers
Answer:
10
Step-by-step explanation:
16/20=8/10
16/2=8
20/2=10
16 pearls/20opals=8perals/10opals
a shirt that cost $5 is marked up 20% what is the markup
Answers
Answer:
1 dollar
Step-by-step explanation:
20% = .20(percentage to decimal conversion)
.20 * 5 = 1 or 5 * .20 = 1 either way works
To find the quotient 4 divided1/5 multiply 4 by
Answers
Answer:
5
Step-by-step explanation:
When dividing numbers by fractions, we can simply multiply the umber by the reciprocal of the decimal. So,
4 ÷ 1/5 = 4 × (reciprocal of 1/5)
A reciprocal of a number is the same number written under 1. aka, 1 divided by that number, which simply is flipping the numerator and denominator of a number.
So the reciprocal of 1/5 is 5/1 = 5.
So 4 ÷ 1/5 = 4 × 5.
So your answer is 5.
hope it was useful!
Given f(x) = 17(3+x) what is the value of f(-2)
Answers
Answer:
Step-by-step explanation:
f ( x ) = 17 ( 3 + x )
f ( -2 ) = 17 ( 3 + -2 )
f ( -2 ) = 51 + -34
f ( -2 ) = 17
= 17
When solving an equation, Gabrielle’s first step is shown below. Which property justifies Gabrielle’s first step?
Original Equation:
-2-2x+4=5
First Step:
-2x-2+4=5
Answers
A lender charges 3.25% of the loan amount for closing costs on a $165000 home loan. Determine the closing costs.
Answers
Answer:
$5,362.50
Step-by-step explanation:
3.25% = 0.0325
165000 x 0.0325 = 5,362.50 dollars
Answer:
$5,362.50
Step-by-step explanation:
What is the equation in standard form of the line that passes through the point (4, -3) and has a
slope of -1
Answers
Answer:
y=-1x+1
Step-by-step explanation:
Um- help-.. please don’t comment if you don’t know
Answers
Answer:
Each point does NOT ALWAYS give the same amount of tickets.
11 point would most likely give 90 tickets.
Step-by-step explanation:
2 points give 18 tickets = 9 tickets per point
3 points give 27 tickets = 9 tickets per point
9 points give 72 tickets = 8 tickets per point
You can add the 2 point value with the 9 point values to find out many point it takes to get to 90 tickets.
18(2 tickets) + 72(9 tickets) = 90(11 tickets)
Answer:
Im, not as sure, but I think it's 10 points!
Step-by-step explanation:
If you divide the tickets by the points, they always come up as a whole number ( 9, 9 , then 8.) To be honest, I was a little stuck, but after messing around,, if you divide 90 by 10, you get a whole number, 9. so I was just thinking this would be right? Maybe? The Points keep increasing, so that follows that pattern...
Honestly, I hope this helps, but I'm super sorry if that is wrong!!
I’m doing a percent equation and I need help here is the question 90% of blank =72
Answers
Answer:
80
Step-by-step explanation:
90/100*x=72
9/10*x=72
x=72*10/9
x=80
Number 17 please help?
Pls
Answers
Answer:
B
Step-by-step explanation:
i need help! i lost my notes
Answers
Answer:
sin A= 3/5
sin C= 4/5
cos A= 4/5
cos C= 3/5
A _____ is a statement that has been proved
Answers
Answer:
Fact
Step-by-step explanation:
A Fact is a statement that has been proved :)
Select all that apply.