Let u = ⟨–2, 6⟩, v = ⟨3, 2⟩, and w = ⟨–1, 4⟩. What is the magnitude and direction angle of 2(u + v) – 3w?

2.8; θ = 45.0°
6.4; θ = 38.7°
28.0; θ = 92.0°
41.0; θ = 51.3°

Given:

The function in the form of set of points is

[tex]s:\{(4,3),(5,3),(8,6),(9,6),(12,9),(13,9)\}[/tex]

To find:

(a) The inverse of function s.

(b) whether the inverse of function s is a function?

Solution:

(a)

If a function is [tex]f:\{(a,b),a,b\in R\}[/tex], then its inverse function is

[tex]f^{-1}:\{(b,a),a,b\in R\}[/tex]

We have,

[tex]s:\{(4,3),(5,3),(8,6),(9,6),(12,9),(13,9)\}[/tex]

So, inverse of this function is

[tex]s^{-1}:\{(3,4),(3,5),(6,8),(6,9),(9,12),(9,13)\}[/tex]

Therefore, the inverse of function s is [tex]s^{-1}:\{(3,4),(3,5),(6,8),(6,9),(9,12),(9,13)\}[/tex].

(b)

A set of point is a function if there exist unique output for each input.

In inverse of s, we have two output values y=4 and y=5 for single input x=3.

Therefore, the inverse of function s is not a function.

Answer:

10t + 400 would be the answer.

Step-by-step explanation:

every hour, there would be 10 gallons added to the pool, so time should be the letter "t" in the equation.

Also, there's already 400 gallons of water existing in the pool, so we need to add 400 gallons.

Therefore, 10t + 400 would be the answer.

Answer:

first of all who deleted my answer considering the fact that is was correct and i answer it first The answer is B

Step-by-step explanation:

hope this helps -_-

Answer:

NO, I AINT SHOWIN NO WORK-

DO YOUR OWN WORK!!!!! GOSH!!!!

Step-by-step explanation:

Answer:

I am sorry i don't know it or i would give it to you

Step-by-step explanation:

Answer:

Step-by-step explanation:

Properties of a kite;

1). A kite has one pair of equal angles.

2). A kite has two pairs of adjacent sides.

3). Diagonals of a kite intersect at 90°.

4). Kite has at least one diagonal that bisects the opposite angles.

It's given in the question,

m∠ABC = 70° and m∠ADC = 46°

By the property number -4,

m∠2 = m∠3 = [tex]\frac{70}{2}[/tex] = 35°

m∠8 = m∠9 = [tex]\frac{46}{2}[/tex] = 23°

By the property number - 3,

m∠4 = 90°

By the property of interior angles in a triangle,

m∠3 + m∠4 + m∠5 = 180°

35° + 90° + m∠5 = 180°

125° + m∠5 = 180°

m∠5 = 55°

Similarly, m∠1 + m∠2 + 90° = 180°

m∠1 + 35° + 90° = 180°

m∠1 = 55°

Now m∠6 + 90° + m∠8 = 180°

m∠6 + 90° + 23° = 180°

m∠6 = 180 - 113 = 67°

Therefore, m∠6 = m∠7 = 67°

The values of all 9 angles shown were found using the property of a kite they are:

∠1=55°

∠2=35°

∠3=35°

∠4=90°

∠5=55°

∠6=67°

∠7=67°

∠8=23°

∠9=23°

One pair of equal angles, two pairs of equal adjacent sides, diagonals intersect at a right angle.

∠1=∠6 because AB=AC

∠6=∠7 because AD=DC

∠2=∠3 because triangle ABC is a combination of two congruent triangles.

∠8=∠9 because triangle DAC is a combination of two congruent triangles.

∠4=90°diagonals intersecting at the right angle.

It is given that

∠2+∠3 = 70°

Since they are equal so ∠2=∠3=35

∠8+∠9 = 46°

Since they are equal so ∠8=∠9=23°

∠5 = 180-∠3-∠4 = 180-35-90=55°

Similarly, ∠1 = 55°

∠6+∠7 = 180-∠8-∠9 = 180-46 = 134°

Since they are equal

∠6=∠7 = 67°

Therefore, all 9 angles were calculated using property of a kite.

∠1=55°

∠2=35°

∠3=35°

∠4=90°

∠5=55°

∠6=67°

∠7=67°

∠8=23°

∠9=23°

To get more about kites refer to:

https://brainly.com/question/16424656

Answer:

5p

Step-by-step explanation:

p+4p can be written as 1p+4p. And 1p+4p=5p because 1+4=5.

9514 1404 393

Answer:

  x = 10

Step-by-step explanation:

The exterior angle is equal to the sum of the remote interior angles.

  (12x +12)° = 79° +(5x+3)°

  7x = 70 . . . . . . . . divide by °; subtract 12+5x; collect terms

  x = 10 . . . . . . . . divide by 7

Answer:

10 answer is 46

Step-by-step explanation:

and 9 answer is108

Answer:

9) X = 108

10) X = 180 - 134 =46

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

Answer:

In the pic

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask me in the comments below ÷)

Answer:

H=Hyperbola

L=line

C=circle

P=Parabola

First letter is top one:

HL=0, 1, 2

LP=0, 1, 2

LC=0, 1, 2

LH=0, 1, 2

PP=0, 1, 2, INFINTELY MANY

PC=0, 1, 2,

PH=0, 1, 2, 3

CP=0, 1, 2

CC= 0, 1, 2, INFINITELY MANY

CH=0, 1, 2, 3, 4

HP=0, 1, 2, 3

HC=0, 1, 2, 3, 4

HH=0, 1, 2, 3, 4, infinitely many

Answer:

-3(x+7)

Step-by-step explanation:

Answer:

y = 2x – 8

Hope this helps!

Answer:

so

Step-by-step explanation:

i would try C bc it has both 73 degrees and 83 degrees and i dont really know  what SAS is besides it means side angle side??? if its right can i have brainlest

Answer:

I dont know but example

Step-by-step explanation:

A cubic foot is a cube with a side length of one foot.

We know that, 1 foot = 12 inches.

So, 1 cubic foot is a cube with side length 12 inches.

You can use the formula for the volume of a prism, V=bwh , to convert cubic units.

Since 1 foot = 12 inches, replace b , w , and h with 12 .

V=(12)(12)(12)     =1,728

So, 1 cubic foot is equal to 1,728 cubic inches.

Answer: 450^3

Step-by-step explanation: To find the volume of something multiply the base and height. So just do 45x10. And don't forget to put ^3 at the end of your answer because you're finding volume.

Answer:

ok this was a good one so here

Step-by-step explanation:

time (seconds)

distance (meters)

speed (meters per second)

4 120 30

25 750 30

9 270 30

Answer:

c)sas

Step-by-step explanation:

Answer:

4L + 8H = 512 (First answer)

You can take 92 low resolution pictures (second answer)

Step-by-step explanation:

Let L represent the number of low resolution pictures you take and H the number of high resolution pictures you can take.

You only have 512 megabytes.

Therefore, the number of megabytes the low resolution pictures you take plus the amount of megabytes the high rsolution you take in total should be 512

Therefore your equation is:

4L + 8H = 512 (First answer)

You took 18 high resolution pictures, so substitute 18 for H

4L+8(18) = 512

4L+144=512

subtract 144 on both sides

4L=368

divide by 4

L= 92

You can take 92 low resolution pictures

Hope this helps!

Answer:

[tex]Area = 3\dfrac{15}{16}\ sq\ ft[/tex]

Area is greater than [tex]3\frac{1}{2}[/tex] sq ft.

Step-by-step explanation:

Length of rectangular sign board = [tex]3\frac{1}{2}[/tex] ft

Width of rectangular sign board = [tex]1\frac{1}{8}[/tex] ft

Area of a rectangle is given by the formula:

[tex]A = Length \times Width[/tex]

To find the area, we are going to multiply [tex]3\frac{1}{2}[/tex] with [tex]1\frac{1}{8}[/tex].

[tex]1\frac{1}{8}[/tex] is greater than 1.

Therefore the multiplication will be greater than [tex]3\frac{1}{2}[/tex].

Hence, we can say that area will be greater than [tex]3\frac{1}{2}[/tex] sq ft.

Area of the sign:

[tex]A = 3\dfrac{1}{2}\times 1\dfrac{1}8\\\Rightarrow A = \dfrac{7}{2}\times \frac{9}8\\\Rightarrow A = \dfrac{63}{16}\\\Rightarrow A = 3\dfrac{15}{16}\ sq\ ft[/tex]

Answer:

Maximum: (-1,9)

Step-by-step explanation:

Vertex form of the quadratic function

If the graph of the quadratic function has a vertex at the point (h,k), then the function can be written as:

[tex]y=a(x-h)^2+k[/tex]

Where a is the leading coefficient.

We are given the following function:

[tex]y =-2x^2-4x+7[/tex]

To find the vertex, we need to complete squares. First, factor -2 on the first two terms:

[tex]y =-2(x^2+2x)+7[/tex]

The expression in parentheses must be completed to represent the square of a binomial. Adding 1 and subtracting 1:

[tex]y =-2(x^2+2x+1- 1)+7[/tex]

Taking out the -1:

[tex]y =-2(x^2+2x+1)+2+7[/tex]

Factoring the trinomial and operating:

[tex]y =-2(x+1)^2+9[/tex]

Comparing with the vertex form we have

Vertex (-1,9)

Leading coefficient: -2

Since the leading coefficient is negative, the function has a maximum value at its vertex, i.e.

Maximum: (-1,9)

Answer:

400 = 200 + 0.20x

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

the amount she gets paid is 200 and that will never change. the 20% commision will always change depending on her sales so we can mark that as x. so far we have 200+20x. We want 400 dollars and that will be the total. That being said, it is 400=200+20x

Answer:13.6 units

Step-by-step explanation: its on edge

Answer:

13.6 or b

Step-by-step explanation:

Question 1:

What is the value of x when y = 4?

x=0.8

Question 2:

What is the value of y when x = 3?

y = 13.5

Question 3:

Which equation represents a proportional relationship?

y=12x

Question 4:

What is the corresponding equation?

y=1.5x

Question 5:

What is the corresponding equation?

y=1/2x

The answers to each part is mentioned below.

Given are the questions as mentioned.

        {K} = y/x = constant

{ 1 } -

        {x} = (4 x 3)/15 = 4/5

        {x} = 4/5

{ 2 } -

        {y} = (9 x 3)/2 = 27/2 = 13.5

        {y} = 13.5

{ 3 } -

An equation representing a proportional relationship is of the form -

y = mx + c

So all the equations given represent proportional relationship.

Therefore, the answers to each part is mentioned above.

To solve more questions on scale factor, visit the link below -

brainly.com/question/30215119

#SPJ3

Answer: Answer for question 7: 9x -7 is less than or equal to 38, X=5

Step-by-step explanation: Since a number next to a variable means multiplying, we can guess that 9 x 5=45, and 45-7 is less than or equal to 38. There is EZ math for ya

Answer:

7.  x ≤ 5

8. x > 4

9. x < 5

10. x < -7

11.  x < 45

12. x ≥ -10

13. k ≤ 3

14. x < 21

15. x ≥ -50

16. w ≥ 16

17. x  ≥ -15

18. q > 4

Step-by-step explanation:

Answer:

x = -2

Step-by-step explanation

| x - 5 | = 3

x + 5  = 3

x + 5  = 3

    -5     -5

__________

x = 2

Answer:

19 days

Step-by-step explanation:

I can't believe she's getting a discount! A Nintendo Switch usually costs $299.99 MSRP! She's getting basically $50 off!

Answer:

-10i

10i

Step-by-step explanation:

Answer:

Step-by-step explanation:

sqrt(-100) = sqrt(100) * sqrt(-1)

sqrt(-1) = i

Sqrt(100) = 10

sqrt(-100) = 10i

Answer:

I need points

Step-by-step explanation:

hhhccchhxjcjc