Match the letter to definition

isolate, linear equation,like terms, properties of equality

A. terms consisting of the same variables raised to the
same powers


B. the rules that allow the balancing, manipulating, and
solving of equations (e.g., the addition property of equality
states "if x = y, then x + z = y + z")

C. to separate from other substances; to place apart so
as to be alone

D. an algebraic equation with constants and variable
terms of highest degree 1

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. 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:

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:

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:

C is the answer

Step-by-step explanation:

Its hard to explain, but i'm 100% sure.

Answer:

All of them

Step-by-step explanation:

if you look closely at the shame and decipher each option they all come into form for that shape.

Hope Hopes^^

Barry

Answer:

[tex]32b^{3} +56b^{2}[/tex]

Step-by-step explanation:

Answer:

32b^3+56b^2

Step-by-step explanation:

distribute 8b^2 through the ()

32b^3+56b^2

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:

y=mx+b

Step-by-step explanation:

Answer: $7,500

Step-by-step explanation:

Answer:

D, 122°F

Step-by-step explanation:

°F = 9/5°C + 32

°F = 9/5(50) +32

°F = 90 + 32

°F = 122

Answer:

2p + 1.25z ≤ 15

Step-by-step explanation:

p=pizza

z=pretzel

Answer:

C or D

Step-by-step explanation:

Answer:

21b + 9

Step-by-step explanation:

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

7b+7b+7b=21b

2+7=9

21b + 9

Answer:

50

Step-by-step explanation:

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:

use photmath or sum

Step-by-step explanation:

Answer:

a. given

b. addition property of equality

c. multiplication property of equality

Answer:

c

Step-by-step explanation:

im not for sure but i think its c

Answer:b

Step-by-step explanation:

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:I will give you an answer ,but I can't unless I can see the graph

Step-by-step explanation:

Answer:

G=12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Step 1:

g - 3 = 9     Equation

Step 2:

g = 9 + 3      Add 3 on both sides

Answer:

g = 12

Hope This Helps :)

Answer:

32 watermelons

Step-by-step explanation:

Answer:

b = c/a

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:

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

Answer: 1:600

Step-by-step explanation:

From the question, we are informed that 12 m object is represented in a picture as being 2 cm.

To find the scale used, we needed to convert 12m to cm. Since 100cm = 1m, then 12m = 12 × 100 = 1200cm.

Therefore, a 1200cm object is represented in a picture as being 2 cm. The scale will be:

= 2/1200

= 1/600

= 1:600

This means that 1 centimeter in the picture represent 600 centimeter or 6 meters.