Answers
===================================================
Explanation:
Problem 1
If we had the two vectors u = <a,b> and v = <c,d>, then adding them gives us
u+v = <a+c,b+d>
The corresponding coordinates pair up and add together.
In this case we have
u = <-3,4>
v = <6,8>
So,
u+v = <-3+6,4+8>
u+v = <3,12>
---------------------
Problem 2
We follow the same idea as the previous problem.
w = <8,-1>
g = <-1,1>
w+g = <8+(-1),-1+1>
w+g = <7,0>
---------------------
Problem 3
Similar to addition, subtracting vectors has us subtract the corresponding coordinates.
The general template is:
u = <a,b>
v = <c,d>
u-v = <a-c,b-d>
With this in mind, we can say the following:
g = <-1,1>
z = <-3,-3>
g-z = <-1-(-3),1-(-3)>
g-z = <-1+3,1+3>
g-z = <2,4>
---------------------
Problem 4
Follow the same idea as problem 3 above.
v = <6,8>
u = <-3,4>
v-u = <6-(-3),8-4>
v-u = <6+3,8-4>
v-u = <9,4>
---------------------
Problem 5
Refer to problem 1.
y = <1,1>
v = <6,8>
y+v = <1+6,1+8>
y+v = <7,9>
---------------------
Problem 6
u = <-3,4>
h = v+y = y+v = <7,9>
u+v+y = u + h
u+v+y = <-3,4> + <7,9>
u+v+y = <-3+7,4+9>
u+v+y = <4,13>
Notice how I built off the result of problem 5 when I used h = v+y. The vector v+y is the same as y+v because the order of addition doesn't matter. Also, the idea mentioned in problem 1 can be extended for more than two vectors.
Related Questions
Jan took her brother out to dinner. The cost of Jan’s dinner was $18.50. The cost of her brother’s dinner was $19.00. If they want to add a 15% tip for the waitress, what will be the total bill?
Answers
The total bill that would be paid by Jan is equal to $43.125.
Given the following data:
Cost of Jan’s dinner = $18.50.Cost of brother’s dinner = $19.00.Tip = 15%To determine the total bill that would be paid by Jan:
First of all, we would calculate the total cost of their dinner as follows:
[tex]Total\;cost = 18.50 + 19.00[/tex]
Total cost = $37.50
Next, we would calculate the tip cost for the total cost of their dinner:
[tex]Tip\;cost = \frac{15}{100} \times 37.5\\\\Tip\;cost =0.15\times 37.5[/tex]
Tip cost = $5.625
For the total bill:
[tex]Total\;bill = Total\;cost + Tip\;cost\\\\Total\;bill = 37.5 + 5.625[/tex]
Total bill = $43.125.
Read more: https://brainly.com/question/11285399
school X and school Y had a competition, school X had 8 more points than Y. school X has 3 times as many points as school Y. how many points does each school have?
Answers
Answer:
the answer is X=12 Y=4
Step-by-step explanation:
X is 3 times the amount of Y and also 8 more. 4x3=12 and 12 is 8 bigger than 4
Please help! I’m so confused.
Answers
Answer: M = 12.50
Step-by-step explanation:
Find the area.
2 cm
2 cm
4 cm
Answers
Answer:
6 cm^2
Step-by-step explanation:
The area of the trapezoid is given by the formula ...
A = 1/2(b1 +b2)h
A = 1/2(4 cm +2 cm)(2 cm) = 6 square centimeters
Answer:
6 cm^2
Step-by-step explanation:
The area of the trapezoid is given by the formula ...
A = 1/2(b1 +b2)h
A = 1/2(4 cm +2 cm)(2 cm) = 6 square centimeters
Which inequality represents this statement?
A number is no more than 5.
n<5
n≥5
n>5
n≤5
Answers
Answer: the last one!! [tex]n\leq 5[/tex]
Step-by-step explanation:
When there is a line under it means no more than!
Use synthetic substitution to find p(3) for p(x)=x^3-2x^2-x+2
Answers
p(3)= 9 - 18 - 1
Answer: p(3)= -10
Answer:
p(3)= -10
Step-by-step explanation:
What is the area of the following circle? Use 3.14 for pi and enter your
answer as a decimal.
p=7
units2
Answers
Plz, Help Me Quickly!!
I will mark Brainliest for the best answer.
Answers
Answer:
help you with what
Step-by-step explanation:
HELPPP PLZZ AND THANK YOU <3
Answers
Answer:
Step-by-step explanation:
=
WHOLE NUMBERS AND INTEGERS
Word problem on unit rates associated with ratios of w
Charlie types at a rate of 14 words per minute.
How many words does he type in 2 minutes?
i words
OB
S
?
Answers
hope this is helpful
determine if the two triangles are congruent.If they are state how you know
Answers
9. yes, 2 congruent sides
10. no
11. yes, 1 congruent side and angles
12. yes, 1 congruent side and angles
13. yes, 1 congruent side and angles
14. yes, 2 congruent sides
15. yes, congruent sides and angles
16. yes, congruent angles and sides
okay what is 14.45 rounded to the nearest whole number
Answers
Answer:
14
Step-by-step explanation:
When rounding, 5+ you round up. below that, you round down.
HELP HURRY PLS
What is the equation of this line?
A. y= 3/2x -2
B. y=2x+2/3
C. y=2/3x-2
D. y= -2x+3/2
Answers
Answer:
The answer is C, y = 2/3x -2
Step-by-step explanation:
Use the rise over run strategy on linear functions such as this one
P(x)=−.002x2+2.5x−700
Answers
Answer:
P = − 0.002x + 2.5 − 700 over x
Step-by-step explanation:
What do I need to know?
I need help on this question please
Answers
Answer:
i cant see the Q
Step-by-step explanation:
Can someone please take the time out of they’re day and help me with this
Answers
Answer:
30 in
Step-by-step explanation:
18^2 + 24^2 = x^2
324 + 576 = x^2
900 = x^2
30 = x
Answer:
30 in
Step-by-step explanation:
With maths problems, first thing to do is to identify clearly the information that you have (from the question) and what you want to find;
Here, we have a right-angle triangle and given 2 of the sides, we are asked to find the other;
Considering this, if you've learnt it well and done plenty of practice, then you should realise pythagoras theorem can be applied to get the unknown side;
The square of the two given sides added will give the square of the unknown side:
(24)² + (18)² = x²
576 + 324 = x²
x² = 900
x = sqrt(900)
x = 30
the size of the angles of a quadrilateral are in the ratio 1:2:3:3. calculate the size of each angle???
Answers
The size of the angles of a quadrilateral are in the ratio 1:2:3:3. Calculate the size of each angle. Explanation. Verified. Step 1. 1 of 2.
identify the transformation performed on the figure below
Answers
A) Translation
hope this helps!
Answer:
translation
Step-by-step explanation:
this is a translation because every point of the shape remain in the same position as it is moved.
what is 7 / 2/3 in simplest form
Answers
To do this we have to do 7 divided by 2/3
The first step to dividing fractions is to turn it into a mutipuacation sentence
7x2/3
Now we want to flip the second fraction over or make it a reciprocal
Our new equation is
7x 3/2 which is equal to 21/2
There are two ways. You may simplify it to 10 1/2 or just leave it as it is
hope this helped!! If you have questions, feel free to ask
HELP PLZZ!! ill give brainlist
Answers
Answer:
Step-by-step explanation:
The spinner should land on whatever color 25% of the time.
25% of 20 = 25/100 * 20 = 500/100 = 5
So the correct answer is the number of times the spinner lands on a color 5 times. Only white does that. All the other colors either go above 5 or below it.
Answer:
White
Step-by-step explanation:
to find the theoretical probability, you just divide the number of times you spin it, which is 20, by how many equal sides the spinner has which is 4.
So therefore you'll do:
20 ÷ 4 = 5
So since that is the same probability as white, the answer is white.
Help!!!!!!!!!!
PLEASE!
Answers
Answer:
B
Step-by-step explanation:
The Government Soldiers didn't knew that they were Americans
Answer:
B) the government soldiers did not know the climbers were Americans when they started shooting at them.
Step-by-step explanation:
the other answers don't make sense.
There was no mention of A) a message C) not knowing how to communicate
D) trying to warn about the rebels.
By context clues, we can infer that when it was revealed that they were Americans, they realized they were on the same side and began to help them and stopped shooting at them.
Find the value of y.
Answers
The value of the variable 'y' will be square root 21 that is √21.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.
The ratio of the matching sides will remain constant if two triangles are comparable to one another.
The ratio of the corresponding sides of a similar triangle remains constant. Then the equation is given as,
y / 3 = 7 / y
Simplify the equation, then we have
y / 3 = 7 / y
y² = 21
y = √21
The value of the variable 'y' will be square root 21 that is √21.
More about the triangle link is given below.
https://brainly.com/question/25813512
#SPJ1
Compare the values.
9 x 10^2 is
?
times as much as 3 x 10^-2.
Answers
Answer:
Hopefully this explains o_O, also Merry Christmas!
Step-by-step explanation:
9 x 10^2 = 9 x 100 = 900
3 x 10^-2 = 3 x 1/100 = 0.03
Ratio of 900:0.03
The first one is 30000 bigger than the second
3 x 10^-2 = 0.03
30000 times more
900 : 0.03 = 30000
A worker earns $30 every 4 hours. How much would the worker earn in 19 hours?
Answers
Step-by-step explanation:
30/4 = 7.5 per hour
now,
7.5 × 19 = 142.5
$142.5
Answer:
$142.50
Step-by-step explanation:
30 divide by 4 = 7.5
So each hour the worker would earn $7.50
7.5 x 19= The worker will earn 142.50 after working 19 hours.
PLZZ I NEED HELP ASAP!!! Due in 12 minutes!!!!
24 points!!!!
The map shows the location of the airport and a warehouse in a city. Though not displayed on the map, there is also a factory 72 miles due north of the warehouse.
Coordinate grid shown from negative 54 to positive 54 on x axis at intervals of 9 and negative 54 to positive 54 on y axis at intervals of 9. A straight line is shown between the points labeled Airport and Warehouse. Airport is the ordered pair negative 27, 36, and Warehouse is the ordered pair 27 and negative 36. A signage showing directions North, South, East, and West is shown in the empty quadrant on the graph.
A truck traveled from the warehouse to the airport and then to the factory. What is the total number of miles the truck traveled? (5 points)
54 miles
72 miles
144 miles
162 miles
Answers
Hilda adds 5 to a number, then multiplies the sun by -2. The result is 6. Write and solve an equation to find the number, x. What is the number?
Answers
Answer:
-8
Step-by-step explanation:
-2*(x+5)=6
Divide both sides by -2
x+5=-3
x=-3-5
x=-8
which expression is equal to 4 to the power of 5 times 4 to the power of -7 divided by 4 to the power of -2
Answers
can i get some help ?::
Answers
Answer:
7+3^2-2*5/4-1*2=
7+9-10/-2=
6/-2 or -3
3/4+1/8=
7/8 divided by 1/8=
7-2^2
3
-3<3
the second one is larger
Hope This Helps!!!
If a = 5i and b
-2 + i, then find the value of ab in fully simplified form
Answers
42. 51 $\♤ ●gd rgbdyfurudgdhsuxu
Help plsss I REALLY need help!
Answers
Answer:
6x^2√x
Step-by-step explanation:
6 times 6 is 36
So you can take 6 out and leave x^5
However x^5 also have a power to square by:
x^4 which can turn into x^2
So we can take x^2 out
So the answer is 6x^2√x
Hope this helps!
I think its
the bottom left i might be wrong