Mathematics High School

Two forces are given by j = (-2,1] and K = (-5,3), in
Newtons. What is the magnitude of j+k ?

Answers

Answer 1

Answer:

[tex]\sqrt{65}[/tex]

Step-by-step explanation:

The magnitude of a vector < x, y > is calculated as

| < x, y > | = [tex]\sqrt{x^2+y^2}[/tex]

Thus

j + k = < - 2, 1 > + < - 5, 3 > = < - 2 - 5, 1 + 3 > = < - 7, 4 >

Then

| < - 7, 4 > | = [tex]\sqrt{(-7)^2+4^2}[/tex] = [tex]\sqrt{49+16}[/tex] = [tex]\sqrt{65}[/tex]

Related Questions

Find the distance of the following points.
3. (0,2) (4, -1)

Answers

Hey there! I'm happy to help!

To find the distance between two points, you find the difference between the x values, square that, find the difference between the y values, square that, add the two numbers you got, and then find the square root.

We find the difference of the x values.

0-4=-4

Square it.

-4²=16

We find the difference between the y values.

2--1

2+1=3

And we square that.

3²=9

We add the two numbers we got.

16+9=25

And we find the square root.

√25=5

The distance between these points is 5. Now you can find the distance between any two points! Have a wonderful day! :D

determine which of the following relation is a function

Answers

I don’t see the math equation

Answer: IT is A and C

|wz| – |xy| when w = –4, x = 2, y = , and z = –6.

Answers

Answer:

Answer= 23

Step-by-step explanation:

The problem would look like this: |(-4)(-6)| - |(2)(1/2)|

if solved it should look like this: |24| - |1|

which is: 24 - 1 = 23

What is the solution to this equation?
2x + 2 = 10
O A. x= 4
O B. x = 16
O c. x = 24
O D. x = 6

Answers

Answer:

A. x= 4

Step-by-step explanation:

[tex]2x + 2 = 10[/tex]

Collect like terms and simplify

[tex]2x =10-2\\2x =8[/tex]

Divide both sides of the equation by 2

[tex]\frac{2x}{2} = \frac{8}{2} \\\\x = 4[/tex]

first, you need to subtract two from both sides

2x + 2 = 10
-2 -2

then take the remaining numbers and divide them by 2

2x = 8

and you get your answer

x = 4

3. (02.01)
Solve for x: 3(x + 1) = -2(x - 1) + 6. (1 point)

a. 1
b.4
c.5
d.25

Answers

Answer:

A. 1

Step-by-step explanation:

3(x+1)=-2(x-1)+6

3x+3=2x-2+6

x+3=4

x=1

Find the midpoint of the line segment joining the two points.
(1.8, -3.4) and (-0.4, 1.4)

Answers

Answer:

(0.7, -1)

Step-by-step explanation:

To find the coordinates for the midpoint you add each coordinate together and divide by 2.

M = ([tex]\frac{1.8 - 0.4}{2}, \frac{-3.4 + 1.4}{2}[/tex])

M = [tex](\frac{1.4}{2}, \frac{-2}{2})[/tex]

M = (0.7, -1)

One bus averages 58 mi/h, and the other bus averages 54 mi/h. When will they be 365 miles apart?

Answers

Answer:

T=3.3 HOURS AFTER THEY LEAVE THEY WILL BE 363 MILES APART

Step-by-step explanation:

internet

how to do this question plz ​

Answers

Answer:

The answer is yes.

Step-by-step explanation:

All you have to do is substitute the y, which is 5, and the x, which is 2, into the equation. When you solve it the answer in the end will be 5=5, which means that point (2,5) does line on that line.

8 is added to the square of a number.

Answers

Answer:

x^2+8

Step-by-step explanation:

A rock climber averages 8 feet per minute. How many feet does the climber climb in 1 hour and 15 minutes?

Answers

600 feet
1 hour and 15 minutes is 75 minutes
75*8 is 600 ft

Answer:

600 feet.

Step-by-step explanation:

1 hour and 15 minutes is equal to 75 minutes.

Therefore,

8 times 75 equals 600 feet.

What is 25 times 0.3?

Answers

Answer:

8.3

Step-by-step explanation:

25÷3=8.3333333

I rounded it to this.

Answer: 7.5

25 * 0.3 is also 25 of 0.3, 0.3 of 25 so by multiplying you get 7.5

1. What value of x will make the equation
below true?
x - 20)- 16 = 10x + 51

Answers

the answer is:   [tex]x= -\frac{29}{3}[/tex]

Subtract 3x^2 + 8x from -9x^2 +3x -8

Answers

Answer:

[tex] \boxed{ \bold{ \huge {\boxed{ \sf{ - 12 {x}^{2} - 5x - 8}}}}}[/tex]

Step by step explanation

[tex] \sf{ - 9 {x}^{2} + 3x - 8 - (3 {x}^{2} + 8x)}[/tex]

When there is a ( - ) in front of an expression in parentheses, change the sign of each term in the expression

[tex] \dashrightarrow{ \sf{ - 9 {x}^{2} + 3x - 8 - 3 {x}^{2} - 8x}}[/tex]

Collect like terms

[tex] \dashrightarrow{ \sf{ - 9 {x}^{2} - 3 {x}^{2} + 3x - 8x - 8}}[/tex]

[tex] \dashrightarrow{ \sf{ - 12 {x}^{2} - 5x - 8}}[/tex]

Hope I helped!

Best regards!

A T-shirt shop charges $15 for an adult shirt and $12 for a youth shirt. The total charge for a shirt order was $489.
Which equation can be used to represent x, the number of adult shirts sold and y, the number of youth shirts sold?
12x + 15y = 489
27x + 15y = 489
15x + 12y = 489
15x + 3y = 489

Answers

Answer: C. 15x + 12y = 489

Step-by-step explanation: Got it right on edge test

Answer:

C

Step-by-step explanation:

15x+12y=489

this is equivalent? TRUE OR FALSE.​

Answers

Step-by-step explanation:

yes of course...

just like

saying 2=x is equivalent to x=2

similarly x<3 is equivalent to 3>x

Evaluate the expression for a = 3, b = 2, and c = 4. Write in simplest form.

Answers

Hello There!

Write out your equation:

Substitute the values in:

Simplify:

Solve:

It is 6.25.

Therefore, your answer is 6 1/4.

Hope This Helps You!

Good Luck :)

Which equation has a solution of k = 6.5?

A. -3k = 19.5

B. -1 + k = 7.5

C. -7k = -45.5

D. -2 + k = -8.5

Answers

Answer: 7.5

Step-by-step explanation:

Duval scored 10 more than 2 times the number of points scored by a
player, x. Which equation shows the number of points, y, Duval scored?

Answers

Answer:

2x + 10 = y

Step-by-step explanation:

The term 10 more is plus 10, and 2 times the "number" which we know we can label as "x". 2x + 10 is the equation and we are told that y is the number of points so 2x + 10 = y is the answer.

Hope that helps, and have a great day!

Solve the formula C = rd for d.
O A. de C
O
T
OB. d= C-1
O C. d=1
O D. d= TC

Answers

Answer:

C/R = D

Step-by-step explanation:

When you divide rd by r, then r is eliminated and divided into the C

match eith the appropiate property:​

Answers

Answer:

Commutative property of multiplication.

Step-by-step explanation:

This property says that changing the order of factors doesn't change the product.

Here 5×3 will be 15..... If we interchange the places of 3 & 5 , still then the product will remain same i.e. 3×5 = 15

Ms. G, Mr. Adams, and Ms. Leahman are going for a bike ride together on Saturday. They want to meet each other in the city but they all live in Bedstuy. Ms. G and Ms. Leahman have to bike 4 miles there, Mr. Adams is 5 miles away. They meet each other in the city and bike 2 miles together. Then they all return home the same way. How many miles did they all bike in total on Saturday?

Answers

Answer: 22 miles

Step-by-step explanation: Ms. G and Ms. Leahman both bike the same amount on Saturday:

4 miles to go to the city;

2 miles with Mr. Adams;

4 miles back to Bedstuy;

Then, both biked:

4 + 2 + 4 = 10 miles

Now, Mr. Adams bikes:

5 miles to go to the city;

2 miles together with the other two;

5 miles back to Bedstuy;

Then, he biked, in total:

5 + 2 + 5 = 12miles

So, the three of them biked, in total:

10 + 12 = 22

On Saturday, Ms. G, Mr. Adams and Ms. Leahman biked, in total, 22 miles.

k/7 = 10 solve for k

Answers

Answer:

k=70

Step-by-step explanation:

to get k by itself you need to multiply k/7 by 7, and you multiply on both sides. 10 times 7 =70

Answer:

Step-by-step explanation:

k/7 = 10

or, k = 7*10

Therefore, k=70.

Write an equation in slope-intercept form for the line parallel to y= 9x+2 that passes through the point (-2,8). Show your work. Thank you :)

Answers

Answer: y=9x + 26

Step-by-step explanation:

Notice that for two lines to be parallel they must have the same slopes but different y intercept.

So the equation y =9x + 2 has a slope of 9 and y-intercept of 2  so using the points  we can determine  the y intercept of the line parallel to it to find the.

Using the slope intercept form formula which is y = mx + b  we can plot in the slope and the given coordinates to solve for b.

The coordinate is (-2,8)  which the y value is 8 and the x value is -2

so  8 = 9(-2) +b    solve for b

  8 = -18  + b

 +18   +18

b = 26  

The y intercept is 26  so the equation will be y=9x + 26

Simplify 3(x + 9) - (x - 6)

Answers

3x+27-x+6

2x+35

That’s your answer
Multiply
3x+27 (- x+6)
-3x^2+18x -27x+162
-3x^2-9x+168

En el colegio de Pedro 8/25 de los cursos corresponden a la enseñanza media y el resto a basica. ¿Que numero representan los cursos de enseñanza básica?

Answers

Answer:

17

Step-by-step explanation:

Hay dos cursos que se ofrecen en la escuela y se representan como fracciones.

Cursos corresponden a la enseñanza media = 8/25

Cursos de enseñanza básica =?

Sea el número total de cursos = 1

Cursos de enseñanza básica = 1 - 8/25

= 17/25

Dado que ambos cursos están en forma de fracciones, podemos convertirlos en razones

Relación de cursos corresponden a la enseñanza media a cursos de enseñanza básica

= 8:17

Donde el número total de cursos ofrecidos = 8 + 17 = 25

Por lo tanto, el número que representa los cursos de enseñanza básica = 17.

How is y=x related to y=x-4

Please help I really need it

Answers

Step-by-step explanation:

They both have the same gradient of 1. (Their slope is 1)

Find the coordinates of the midpoint of a segment with the given
endpoints.

Answers

Answer:

Step-by-step explanation:

(7+4)/2 = 11/2 = 5.5

(1-1)/2 = 0/2 = 0

(5.5, 0)

answer is C

Answer:

C-(5.5,0)

Step-by-step explanation:

(x1+x2/2, y1-y2/2)

7+4/2, 1-1/2

11/2, 0/2

(5.5, 0)

Really hope this helps ;)

One of the two equal factors of a number is

Answers

Answer:

If the two factors are equal (the same), like 4*4=16, then each of them is called a "square root." Note: a cube root is one of three equal factors of a number, for example, 2 is the cube root of 8 (that is, 2*2*2=8).

Step-by-step explanation:

what is the irrational number between 2.8888... and 2.9999...?

Answers

Answer:

[tex]\sqrt{8.5}[/tex]

Step-by-step explanation:

[tex]\sqrt{8.5}=2.9154759474226502354370764387727915382606991674429859772250...[/tex]

that's clearly between 2.888888.... and 2.999999....

. Find the distance between (−4,−1) and (−2,−3).

Answers

Answer:

2.83 units

(results are in decimal form, rounded to the nearest 100th)

Other Questions
Read the third stanza from the poem "Sympathy."I know why the caged bird sings, ah me,When his wing is bruised and his bosom sore,When he beats his bars and he would be free;It is not a carol of joy or glee,But a prayer that he sends from his hearts deep core,But a plea, that upward to Heaven he flingsI know why the caged bird sings!Part AIn the third stanza of the poem "Sympathy," what can be inferred about why the bird beats its wings against the bar?to try to signal its owner to release itto keep time to the music in its heartto attempt to fly despite being cagedto send a prayer to be released from its cageQuestion 2Part BWhich line from the third stanza in the poem best supports the answer in Part A?"When his wing is bruised and his bosom sore,""But a plea, that upward to Heaven he flings""It is not a carol of joy or glee,""When he beats his bars and he would be free;" What is the Apache Housing like Which of the following is true? a. A hypothesis is a measure, such as price or quantity, that can take on different values at different times. b. To test a hypothesis is the last step under the scientific method of studying economic problems. c. To identify a question and define the relevant variables is the last step under the scientific method. d. Assumption refers to a theory about how key variables relate to one another. The Dorilane Company produces a set of wood patio furniture consisting of a table and four chairs. The company has enough customer demand to justify producing its full capacity of 3,800 sets per year. Annual cost data at full capacity follow:Direct labor $89,000Advertising $101,000Factory supervision $66,000Property taxes, factory building $20,000Sales commissions $63,000Insurance, factory $7,000Depreciation, administrative office equipment $3,000Lease cost, factory equipment $15,000Indirect materials, factory $20,000Depreciation, factory building $108,000Administrative office supplies (billing) $5,000Administrative office salaries $111,000Direct materials used (wood, bolts, etc.)$425,000Utilities, factory $40,0001. Enter the dollar amount of each cost item under the appropriate headings. Note that each cost item is classified in two ways: first, as variable or fixed with respect to the number of units produced and sold; and second, as a selling and administrative cost or a product cost. (If the item is a product cost, it should also be classified as either direct or indirect.)2. Compute the average product cost of one patio set.3. Assume that production drops to only 1,000 sets annually. Would you expect the average product cost per set to increase, decrease, or remain unchanged? Which Chinese leader did mao overthow when he became the chairman of the peoples republic of China Find the missing number to make the average correct. The average of 11, 17, 18, and ? is 17. Refined grain products are often fortified with _____ to decrease rates of _____.a. iodine; early deliveryb. vitamin A; fetal heart abnormalitiesc. folic acid; early deliveryd. iron; neural tube defectse. folic acid; neural tube defects At the end of the current period, Maltese, Inc. reports the following amounts: Assets = $54,200; Liabilities = $26,300; Dividends = $2,700; Revenues = $18,500; Expenses = $13,400.Calculate net income and stockholders' equity at the end of the period. Can someone help my son with this its homework and he dont understand it The Persian empire was the largest of its day its borders stretched between which two rivers? Should underperforming restaurants be closed or sold? complete the kahani story Solve 20x + 5y = 15 for y Whats the number between -6 and -7 on a number line 48) The solution set of theequation x2/3 + x1/3 - 2 = 0 is ... How did the Reconstruction Act of 1867 assist minority groups? Physical properties cannot separate a into the elements it contains What are non-examples of a nucleus Beaks in African black-bellied seedcracker finches are small or large, but not intermediate in size. This is an example of When the Australian colonies decided to form the Commonwealth of Australia in 1901, the new country was a Question 20 options: A. monarchy. B. republic. C.dictatorship. D. dominion.