Vectors are elements of the vector space, and they can be illustrated by diagrams.
How to draw the vector 2u - 1/3vThe vector expression is given as:
2u - 1/3 v
Split the vector expressions, as follows:
[tex]y_1 = 2u[/tex]
[tex]y_2 = -\frac13v[/tex]
See attachment for the graphs of y1 and y2.
Next, we have:
[tex]y = 2u - \frac13v[/tex]
So, we have:
[tex]y = y_1 + y_2[/tex]
The above expression means that, we add the vectors y1 and y2 to get vector y
See attachment for the graph of 2u - 1/3 v
Read more about vectors at:
brainly.com/question/14480278
I'm confused on this
Find the volume of the triangular prism?
Answer:
i not understand this question plase ask full question
Felica is trying to simplify the expression 9 + (8 x 9) - (18\3
Answer:
The answer is 75.
Step-by-step explanation:
First, we apply the rule of PEMDAS (or whatever order of operations rule you have learned). In this equation, we first solve inside the parentheses.
8 x 9 = 72
18/3 = 6
Now, our equation has become 9 + 72 - 6. We can solve this left to right:
9 + 72 = 81
81 - 6 = 75
How can you find the least common multiple?
Which choice is the equation of the line that passes through the point (5, 19) and has a slope of m =12 and is written in slope-intercept form?
Answer: y = 12x - 41
Step-by-step explanation:
The choices are not given, but you can figure this out.
Slope intercept form is y = mx + b
Substitute the y and x-values into the equation to calculate b, the y-intercept.
19 = 12(5) + b
19 = 60 + b
-60 + 19 =b
-41 = b
Write the equation with y and x, include the given slope and the calculated y-intercept:
y = 12x + 41
How do you graph y=-1x+4
Step-by-step explanation:
You will put the y-intercept at (0,4) and the slope will be -1
Here are some points on the line you can graph: (0,4) (1,3) (2,2) etc.
What is the y-intercept of the function f(x) = - 2/9x + 1/3
Answer: 1/3
Step-by-step explanation:
If the equation of a line is given in the form y=mx+b, then the y-intercept is the value of b.
Please helppp ASAP Content attribution
QUESTION 12 · 1 POINT
5
3m
Find the LCD for 5/m2+9m+20, 3m/m2+11m+28
Answer:
The LCD of the two given fraction is (x + 4)(x + 5)(x + 7)
Step-by-step explanation:
In the algebraic fractions, the LCD is the least common denominator to find it do that:
Factorize each denominatorTake all the factors without repeating factorsLet us do that with our question
∵ The denominator of the first fraction is m² + 9m + 20
→ Factorize it into two factors
∵ 20 = 4 × 5 ⇒ the last term
∵ 4 + 5 = 9 ⇒ the coefficient of the middle term
∴ m² + 9m + 20 = (x + 4)(x = 5)
∴ The factors of m² + 9m + 20 are (x + 4) and (x + 5)
Do the same with the 2nd denominator
∵ The denominator of the second fraction is m² + 11m + 28
→ Factorize it into two factors
∵ 28 = 4 × 7 ⇒ the last term
∵ 4 + 7 = 11 ⇒ the coefficient of the middle term
∴ m² + 11m + 28 = (x + 4)(x + 7)
∴ The factors of m² + 11m + 28 are (x + 4) and (x + 7)
∵ The factors of the two denominators are (x + 4), (x + 5), (x + 4), (x + 7)
→ LCD will be all factors without repeating which means we will
take the factor (x + 4) just one time, we will not repeat it.
∴ LCD = (x + 4)(x + 5)(x + 7)
∴ The LCD of the two given fraction is (x + 4)(x + 5)(x + 7)
If x = 5 and y = 7, evaluate the following expression:
100 – 3(3y - 4x)
100 - 3(3 x 7 - 4 x 5)
Simplify
97(21 - 20)
Simplify
97(1)
Now, multiply.
97 x 1 = 97
So the answer to the equation above, is 97.
Simplify.
240−−−√
6/40−−√
10/24−−√
2/30−−√
4/15−−√
Answer:
4/15
Step-by-step explanation:
A pair of dice will be rolled once. What is the probability that the number of spots on two dice is different
jackson wants to divide a 3/4 - pound box of trail mix into small bags will hold 1/12 pound of trail mix. how many bags of trail mix can jackson fill?
Answer:
9 bags of trail mix
Step-by-step explanation:
Frederick, Josiah, and Shawnda each had 2 rolls of raffle tickets with 12 tickets in each roll.
Josiah hands out half of his tickets and Shawnda hands out one fourth of her tickets.
How many tickets do they have left altogether?
Answer:
they all have 52 left altogether
Step-by-step explanation:
they all have 2 rolls with 12 so that means they all have 24 if josiah hands out half of his tickets he would have 12 tickets left
If shawnda hands out 1 fourth of her tickets she will have 18 tickets
24 + 12 + 18 =54
June and Sushil win some money and share it in the ratio 3:1. June gets £20 more than Sushil. How much did Sushil get?Caroline, Colin & Sarah share some money.
Answer:
£10
Step-by-step explanation:
3:1
difference in the ratio is 2 so 2 is £20
so 1 is 20/2 =10
Sushil is 1 in the ratio an 1 x 10 is 10.
this is a brief explanation.
Hope this helps x
Rewrite as a square or a cube:
3 3/8
Answer:
The Answer is 3/2 in cube number.Step-by-step explanation:
3 3/8= 8 × 3 + 3 / 8= 24 + 3 / 8= 27 / 8= (3/2)^3So , the answer is 3/2 in cube number.
Thank you ☺️☺️
Use the function f(x) to answer the questions: f(x) = 2x^2 − x − 10
Part A: What are the x-intercepts of the graph of f(x)? Show your work. (2 points)
Part B: Is the vertex of the graph of f(x) going to be a maximum or a minimum? What are the coordinates of the vertex? Justify your answers and show your work. (3 points)
Part C: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part A and Part B to draw the graph. (5 points)
The first of three numbers is one-third the value of second number. The second number is 5 less than the third number. If twice the third number is 5 less than the second number, which of the following equations could be used to find the value of the first number, if the first number is represented by x?
Answer: [tex]2(3x+5)=3x-2[/tex] , required equation.
Step-by-step explanation:
As per given we have,
First number = [tex]\dfrac13[/tex] of second number. (i)
Second number = Third number - 5 (ii)
2 (third number)= Second number - 5 (iii)
Put x= first number in (i).
so, [tex]x=\dfrac13[/tex] of second number.
⇒ second number =[tex]3\times x=3x[/tex]
From (ii)
[tex]3x=[/tex] Third number - 5
⇒ Third number =[tex]3x+5[/tex]
From (iii)
[tex]2(3x+5)=3x-2[/tex] , required equation.
pls answer this right now i need it so much i'll give you brainleist and follow you thank you so much.
6. Which of the following statements is correct? A. An algebraic equation is a mathematical sentence with an equal sign.
B. An algebraic equation is a series of mathematical operation.
C. An algebraic expression consist of one operation.
D.
An algebraic expression variable is always
letter
7. Mang Cadio when asked about his age, replies,"1 am six years older than thrice the age of my youngest child." Express his age in algebraic expression if his age now is 66.
A. 3n + 6 = 66
B. 3n - 6 = 66
C. 3n + 6n = 66
D. 3n - 6n = 66
8-Mayah is 2 years younger than her sister who is 4 years younger than their brother. Their total age together is 26 years. How old is Mayah's sister?
A. 3n+2=26
C. n=26-2
B. 3n-2=26
D. n=26+2
9.The phrase "Five less than twice a number" is equal to
A. 5-2n
B. (5-2n)
C. 2n-5
D. 2(n-5)
10. Which algebraic equation on the phrase " Twice a number decreased by six is equal to sixteen.
A. 2b-6=16 B. 16-2b-16
C. 2b-16-6
D.
2b-16= 8
11 A number increased by 5 is 12. What is the number?
A. 6
C. 8
B. 7
D. 9
12. What is c in the equation, c +18=29.
A. 9
C. 13
B. 11
D. 15
13. Solve for h, in the equation h=8.
5
A. 10
B. 25
C. 40
D.
41
14. Mang Andoy is an egg dealer. He needs to sell 1000 dozens of eggs every 2 weeks for him to meet the quota requirement. On the first week, he sold 453 dozens of eggs. On the third day of the second week, he delivered again and sold 364 dozens. How many more dozens of eggs does Mang Ambo needs to sell to meet the quota?
A. 183
C. 98
B. 120
D. 79
15. If thrice a number is increased by 11, the result is 35.
What is the number?
A. 24
C. 12
B. 18
D. 8
Answer:
6. A
7. A
8. A
9. C.
10. A.
11. B.
12. B.
13. C.
14. A.
15. D.
Step-by-step explanation:
6. An algebraic equation is a mathematical sentence with an equal sign.
7. 3n + 6 = 66
8. Let n = Mayah's sister's age
let m = Mayah's age
let b = Mayah's brother's age
m = n - 2
b = n + 4
m + b + n = 26
⇒ n - 2 + n + 4 + n = 26
⇒ 3n + 2 = 26
9. 2n - 5
10. 2b - 6 = 16
11. n + 5 = 12
⇒ n = 7
12. c + 18 = 29
⇒ c = 29 - 18 = 11
13. h = 8 · 5 = 8 × 5 = 40
14. 453 + 364 + n = 1000
⇒ n = 1000 - 453 - 364
⇒ n = 183
15. 3n + 11 = 35
⇒ 3n = 35 - 11
⇒ n = 24 ÷ 3
⇒ n = 8
The school that Brenda goes to is selling tickets to a fall musical. On the first day of the ticket
sales the school sold 4 senior citizen tickets and 6 child tickets for a total of $76. The school
took in $23 on the second day by selling 1 senior citizen ticket and 2 child tickets. What is the
price of one senior citizen ticket and one child ticket?
We can form two equations, let the price of a senior ticket be s and the price of a child ticket be c.
We have from day 1:
A: 3s + 9c = 75
And from day 2:
B: 8s + 5c = 67
Now we can rewrite A as:
A: 24s + 72c = 600
And can rewrite B as:
B: 24s + 15c = 201
Now A-B can be written as:
A-B: 57c = 399
So c = 7
Now substituting this back into A we get:
A: 3s + 63 = 75
A: 3s = 12
So s = 4
We have the price of a senior ticket is $4 and the price of a child ticket is $7 (idk if this is right hope it is!!!)
Please I need help with this
Answer:
I can help, but what is the equation?
100 POINTS AND BRAINLIEST HELP PLEASE I NEED THIS ANSWERED
Answer:
The second one should be the answer.
I WILL GIVE BRAINLIEST
Answer: 15
Step-by-step explanation:
Step 1: Subtract 3 from both sides.
Step 2: Multiply both sides by 5/2.
Determine whether the given number is a solution of the given equation.
Is 9 a solution of x-11 = - 2?
Answer:
Substituting x with 9
9-11
= -2
Yes, it is a solution.
find the solution set s^2=16
Answer:
4
Step-by-step explanation:
4 x 4 is 16 * dabs*
Step-by-step explanation:
S²=16
S=√16
S=4. Because 4x4=16
hope this helps you
have a good day.
Randall had $75 in his bank account. He made 3 withdrawals of $18 each.
Answer:
Randall now has a negative balance
Step-by-step explanation:
Answer:
All are false I believe :)
Step-by-step explanation:
3 x 18 = 54
$75 - 3(-$18)= 129
Translate verbal phrases into mathematical expressions
1. The difference of gross sales and total sales
2. The sum of two numbers of less 11
3. Three fourths of 500
Thankyouuuuu !
Answer:
see i do not know 1st so i am not answer for it
Step-by-step explanation:
2nd) let 1st number be x
and second number be y
so x+y>11 or x+y<11 or x+y=11
this three can be i am not sure about this so just verify from any other source too
3rd) the ans is 500 upon(divided) by 4=125
so 125 multiply by 3 is 375
the correct ans is 375
Jack has 24 game cards. He divides them between his brother, his sister, and himself in the ratio 2:1:5.
How many cards does each get?
Answer:
brother gets 6 cards
sister gets 3 cards
he gets 15 cards
Step-by-step explanation:
this can be rewritten as
2x + x + 5x = 24
combine like terms
8x = 24
divide both sides by 8
x = 24/8
x = 3
now, multiply x by each part of the ratio.
his brother = 2 * 3 = 6
his sister = 1 * 3 = 3
himself = 5 * 3 = 15
Suppose a dilation of ΔUVW by scale factor of 1 4 , centered at the origin. Which new vertices are correct? A) U′(−2, −1) B) U′(−1, −2) C) V′(1, −1) D) V′(−1, 1) E) W′(−2, 2)
Answer:
you probably already have it. the answer is : A,C,E
Step-by-step explanation:
Trust me-
Which shows how to calculate the number of liters he used if he used 5 cups of water?
divide 5 by 4.22
multiply 5 by 4.22
divide 5 by 1.05
multiply 5 by 1.05
Answer:
The first one is d) fluid ounces
The second one I think is c) meters
the third one I think is d) 2kg
Step-by-step explanation:
Please I need help please
Answer:
rotation then reflection, because it reflects from 2-3 and from 1-2 it is rotated.