helppp!!

Identify the slope of the following equation:
-4x + 3y = 3

Answer:

D. Rotation 270 degrees clockwise.

Step-by-step explanation:

The transformation used in the coordinates below was a rotation 270 degrees clockwise, whose definition is:

[tex](x', y') = (r\cdot \cos (\theta - 270^{\circ}), r\cdot \sin (\theta -270^{\circ}))[/tex]

Please note that clockwise rotation is represented by the minus sign.

Where [tex]r[/tex] is the norm of original point, defined as:

[tex]r =\sqrt{x^{2}+y^{2}}[/tex], [tex]\forall \,x,y\in \mathbb{R}[/tex]

And [tex]\theta[/tex] is the direction of the point centered at origin and with respect to +x semiaxis, measured in sexagesimal degrees:

[tex]\theta = \tan^{-1} \frac{y}{x}[/tex]

Now we proceed to prove the statement:

[tex]L (x, y) = (-1, 9) \longrightarrow L'(x,y)[/tex]

Norm

[tex]r = \sqrt{(-1)^{2}+9^{2}}[/tex]

[tex]r = \sqrt{82}[/tex]

Direction

The point is located on 2nd quadrant, which means that [tex]90^{\circ} \leq \theta \leq 180^{\circ}[/tex]. Then:

[tex]\theta = \tan^{-1}\left(\frac{9}{-1} \right)[/tex]

[tex]\theta = 96.340^{\circ}[/tex]

Rotation

[tex]L'(x,y) = (\sqrt{82}\cdot \cos (96.340^{\circ}-270^{\circ}),\sqrt{82}\cdot \sin (96.340^{\circ}-270^{\circ}))[/tex]

[tex]L'(x,y) = (-9, -1)[/tex]

[tex]M(x,y) = (-8,8) \longrightarrow M'(x,y)[/tex]

Norm

[tex]r = \sqrt{(-8)^{2}+8^{2}}[/tex]

[tex]r = \sqrt{128}[/tex]

Direction

The point is located on 2nd quadrant, which means that [tex]90^{\circ} \leq \theta \leq 180^{\circ}[/tex]. Then:

[tex]\theta = \tan^{-1}\left(\frac{8}{-8} \right)[/tex]

[tex]\theta = 135^{\circ}[/tex]

Rotation

[tex]M'(x,y) = (\sqrt{128}\cdot \cos (135^{\circ}-270^{\circ}),\sqrt{128}\cdot \sin (135^{\circ}-270^{\circ}))[/tex]

[tex]M'(x,y) = (-8, -8)[/tex]

[tex]N(x,y) = (-3,5)\longrightarrow N'(x,y)[/tex]

Norm

[tex]r = \sqrt{(-3)^{2}+5^{2}}[/tex]

[tex]r =\sqrt{34}[/tex]

Direction

The point is located on 2nd quadrant, which means that [tex]90^{\circ} \leq \theta \leq 180^{\circ}[/tex]. Then:

[tex]\theta = \tan^{-1}\left(\frac{5}{-3} \right)[/tex]

[tex]\theta = 120.964^{\circ}[/tex]

Rotation

[tex]N'(x,y) = (\sqrt{34}\cdot \cos (120.964^{\circ}-270^{\circ}), \sqrt{34}\cdot \cos (120.964^{\circ}-270^{\circ}))[/tex]

[tex]N'(x,y) = (-5, -3)[/tex]

Hence, the correct answer is D.

The equation would be:

y = 3x + 15

1) Table: It is pretty easy to do so, just plug in 0, 1, 2, 3, etc. for x and solve for y

2) graph (find slope): slope would be 3 shells/day that has a y-intercept of 15

3) you already defined the variables

4) 3(5)+15 = 15+15 = 30 seashells

I hope this helps!

Answer:

50

Step-by-step explanation:

Answer: $7,500

Step-by-step explanation:

Answer:k=−a3−a2b−36a−36b+217/a2+ab

Step-by-step explanation:Step 1: Flip the equation.

a3+a2b+a2k+abk+36a+36b=217

Step 2: Add -a^3 to both sides.

a3+a2b+a2k+abk+36a+36b+−a3=217+−a3

a2b+a2k+abk+36a+36b=−a3+217

Step 3: Add -a^2b to both sides.

a2b+a2k+abk+36a+36b+−a2b=−a3+217+−a2b

a2k+abk+36a+36b=−a3−a2b+217

Step 4: Add -36a to both sides.

a2k+abk+36a+36b+−36a=−a3−a2b+217+−36a

a2k+abk+36b=−a3−a2b−36a+217

Step 5: Add -36b to both sides.

a2k+abk+36b+−36b=−a3−a2b−36a+217+−36b

a2k+abk=−a3−a2b−36a−36b+217

Step 6: Factor out variable k.

k(a2+ab)=−a3−a2b−36a−36b+217

Step 7: Divide both sides by a^2+ab.

k(a2+ab)

a2+ab

=

−a3−a2b−36a−36b+217

a2+ab

k=

−a3−a2b−36a−36b+217

a2+ab

Answer:

y=-1/2x-2

Step-by-step explanation:

simplify the expression to get the equation in slope intercept form, and find the graph that fits it

Answer:

b = c/a

Step-by-step explanation:

Answer:

The line is  y = 1/2x - 2

Step-by-step explanation:

The required  line will have a slope of -1/-2 = 1/2.

Using the point slope form of a line:

y - (-3) = 1/2(x -  (-2))

y + 3 = 1/2x + 1

y = 1/2x - 2.

Answer:

21b + 9

Step-by-step explanation:

7b(2 + 7b) + (7b + 7)

7b+7b+7b=21b

2+7=9

21b + 9

Answer:

It will take 30 minutes

Step-by-step explanation:

Here, we want to calculate the time it will take for the three friends to be at the starting point again

What we do here is to note the time it will take for each of the three friends to run a lap

That will be 6 , 3 and 5

What we now need to know the time is to find the lowest common multiple of the three amount of time

The lowest common multiple of 6,3 and 5 is 30

So the amount of time it will take the friends to be at the starting point again is 30 minutes

Answer:

32 watermelons

Step-by-step explanation:

Answer:

18 liters

Step-by-step explanation:

We can use ratios to solve

12 liters      x liters

----------- = -----------

2 days       3 days

Using cross products

12 *3 = 2x

36 =2x

Divide by 2

36/2 = 2x/2

18 =x

18 liters

Answer:

C or D

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

im not for sure but i think its c

Answer:b

Step-by-step explanation:

Answer:

x = 7

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:

51

Step-by-step explanation:

11+(-7)^2-9 would be

11+49-9    (49 because 7^-2 = 49)

60-9 = 11

Answer:

51

Step-by-step explanation:

According to PEMDAS, the first step would be to take care of the exponents. -7 times -7 is positive 49, so the equation would look like this:

11+49-9    From there, just add and subtract as normal!

60-9

51

Hope this helps!

Answer:

D, 122°F

Step-by-step explanation:

°F = 9/5°C + 32

°F = 9/5(50) +32

°F = 90 + 32

°F = 122

Answer:

45

Step-by-step explanation:

Answer:

69 3/4

Step-by-step explanation:

The stock market goes down to 50 3/4 at the beginning of the day

At the end of the day it goes up to 120 1/2

Therefore total change in the stock market from the beginning to the end of the day can be calculated as follows

= 120 1/2 - 50 3/4

= 241/2 - 203/4

= 279/4

= 69 3/4

Hence the total change in the stock market from the beginning to the end of the day is

69 3/4

Answer:

$ 6.52

Step-by-step explanation:

marked price =16.85

discount 20%=3.37

net payable .=.13.48

Amount paid==$ 20

payable .=====13.48

balance to receive=$ 6.52  

Answer:

la respuesta seria,487,975

Step-by-step explanation:

Si resta 655,000 - 25.5% entonces la respuesta es 487,975 dólares con el plazo se le carga.

Espero que esto haya ayudado :)

The price when selling on installments be $822025.

Given is that the value of a house is $655,000 in cash, but when selling it on installments, you are charged 25.5% of its price.

Assume the price when selling on installments be $x. Then, we can write new price as -

[x] = 655000 + {25.5% of 655000}

[x] = 655000 + {25.5/100 x 655000}

[x] = 655000 + {25.5 x 6550}
[x] = 655000 + 167025

[x] = $822025

Therefore, the price when selling on installments be $822025.

To solve more questions on functions, expressions and polynomials, visit the link below -

brainly.com/question/17421223

#SPJ2

{Question in english would be

The value of a house is $655,000 in cash, but when selling it on installments, you are charged 25.5% of its price. What is the final cost of the house if it is sold in installments?}

Answer:

C. f(x)=x-1/x+1

Step-by-step explanation:

edge2020

Functions can be represented by tables and equations

The function represented by the table is f(x) = x + 1

From the table, we have the following ordered pairs

(x,y) = (-1,0) (0,1) (1,2) and (2,3)

Notice that the difference between the x and y values is 1.

So, we have:

y - x = 1

Add 1 to both sides

y = x + 1

Express as a function

f(x) = x + 1

Hence, the function represented by the table is f(x) = x + 1

Read more about linear functions at:

https://brainly.com/question/15602982

Answer:

use photmath or sum

Step-by-step explanation:

Answer:

a. given

b. addition property of equality

c. multiplication property of equality

As per the reflexive property two angles , lines or line segments are said to be congruent with themselves . Hence we say that QR = QR .

Answer:

C. -7.4

Step-by-step explanation:

-(5(-2) + 2) + (3(3) + 2(-4.2))

(-10+2) + (9 + -8.4)

-8 + 0.6

-7.4