why do terms have to be like terms?

Answers

Answer 1

Answer:

Like terms are terms that contain the same variables raised to the same power. Only the numerical coefficients are different. In an expression, only like terms can be combined. We combine like terms to shorten and simplify algebraic expressions, so we can work with them more easily.


Related Questions

A truck driver has traveled for hours (4, h) south down a highway 50 kilometers per hour (50 km/h) How far as the delivery driver traveled?

Answers

Answer:

200 kilometers

Step-by-step explanation:

since the driver goes 50 kilometers at a constant rate for 4 hours, you multiply it by 4, and you get 200.

An easy way to multiply these numbers is to multiply the 4 and 5, which equals 20, then add the extra zero from the 50.

paint cost 29.95 dollars per gallon, Eumya needs 12.25 gallons to complete a painting project. how much will Eumya spend on paint?

Answers

Answer

Step-by-step explanation:

please help me!!
will mark brainliest!!
Use the drawing tool(s) to form the correct answer on the provided graph.
The graph of f(x) = x is shown on the coordinate plane. Function g is a transformation off as shown below.
g(x) =3/4 f(x)
Graph function g on the same coordinate plane.


Answers

Answer: g(x)=(3/4)x, points at (-4,-3), (0,0), and (4,3)
Step by step:
We know what the equation is, so we just have to multiply it by 3/4.
So, we get g(x)=(3/4)x. Plug in some random x values to get y values. I listed some convenient ones at the top.

The graph of the function g(x) = 3/4 f(x) on the same coordinate plane as f(x) = x is attached below.

What is a graph?

A graph can be defined as a pictorial representation or a diagram that represents data or values.

To graph the function g(x) = 3/4 f(x) on the same coordinate plane as f(x) = x, we need to perform the transformation of stretching the graph of f(x) by a factor of 3/4.

Determine the scale factor for the transformation. In this case, the scale factor is 3/4.

Starting at the x-intercepts and y-intercepts (if there are any), plot the points on the coordinate plane using the scale factor to stretch or shrink the graph as needed.

For example, the point (0,0) on the graph of f(x) becomes the point (0,0) on the graph of g(x). The point (1,1) on the graph of f(x) becomes the point (1, 3/4) on the graph of g(x).

Connect the plotted points with a smooth curve to obtain the graph of g(x).

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which is the best estimate for (8.9 x 10^8)(3.3 x 10^4 written in scientific notation?

Answers

Answer:

3 x10^4

Step-by-step explanation:

10x² - x - 2 = 0
whats thr solutions in fractions

Answers

Answer:

X=1/2, -2/5

Step-by-step explanation:

Solve the equation for X by finding a, b, and c of the quadratic then applying the quadratic formula.

Answer:

:) :) :) :) :) :) :0

Step-by-step explanation:

2/5 and 1/2

"The model can be used to solve 6×3.27. Select the partial products from the drop-down lists" i have no clue what to do, can someone explain to me?

Answers

Answer:

The partial products are:

18 + 1.2 + 0.42

The sum: 19.62

Step-by-step explanation:

This has to do with understanding what place value is.

3 ones = 3 * 1 = 3

6 * 3 ones = 18

2 tenths = [tex] 2 * \frac{1}{10} = 2*0.1 = 0.2 [/tex]

6 * 2 tenths = 1.2

7 hundredths = [tex] 7 * \frac{1}{100} = 7*0.01 = 0.07 [/tex]

6 * 7 hundredths = 0.42

The partial products are:

18 + 1.2 + 0.42

The sum = 19.62

Answer:

Answer:

The partial products are:

18 + 1.2 + 0.42

The sum: 19.62

Step-by-step explanation:

This has to do with understanding what place value is.

3 ones = 3 * 1 = 3

6 * 3 ones = 18

Step-by-step explanation:

Zachary purchased a computer for 1100 on a payment plan. 4 months after he purchased the computer, his balance was $755. Five months after he purchased the computer, his balance was $640. What is an equation that models the balance b after m months. What does the slope signify is zacharys equation?

Answers

Answer:

Model is

b = 115m + 65

The slope represents the amount of balance offset per month

Step-by-step explanation:

Here, we want to model an equation.

The equation to model will be in the form;

y = mx + c

we have the following points to consider

The points are in the form;

(number of months, balance)

(m , b)

So the points we have are;

(4,755) and (5,640)

So the slope will be ;

(y2 -y1)/(x2-x1) = (755-640)/(5-4) = 115

So the equation will be;

b = am + c

where a is the slope and c is the y intercept

we already have the slope

so equation becomes;

b = 115m + c

let’s get the y-intercept

we can get the y-intercept by any of the points;

That would be; let’s use (5,640)

640 = 5(115) + c

640 = 575 + c

c = 640 -575

c = 65

So the equation of the model is;

b = 115m + 65

The slope represents the balance per month

If m 4 = 48° and m28 = 3x + 9​

Answers

Answer:

x = 109

Step-by-step explanation:

m4 =48

m =48/4

m = 12

now

m28 = 3x+9

12*28 = 3x + 9

336-9 = 3x

327/3 = x

109 = x

what is the slope of a line that is perpendicular to the line y= -1\2x+ 5

Answers

Answer:

-1/2

Step-by-step explanation:

Answer:

-1/2

Step-by-step explanation:

-k/5 = 7/5 can someone help with this?​

Answers

Answer:

k = -7

Step-by-step explanation:

Step 1: Write equation

-k/5 = 7/5

Step 2: Solve for k

Cross multiply: -5k = 35Divide both sides by -5: k = -7

Step 3: Check

Plug in k to verify it's a solution.

-(-7)/5 = 7/5

7/5 = 7/5

Name an angle adjacent to ZHGJ.
D
H
G
F
ZFGD
ZEGH
O ZEGD
O ZIGF
HELP

Answers

EGH
adjacent means next to so EGH is next to the angle HGJ

If Kelly's heart beats an average of 1*10^2 times per minute , about how many times does Kelly's heart beat in a year?(1 year is 525,600 minutes)

Answers

Find out how many times her heart beats in a min then multiply it by 525,600

Graph Y equals -5/6x -4

Answers

Step-by-step explanation:

y = -5/6x - 4

(0,-4) is the y intercept

the slope is -5/6, it descends 5 and goes 6 horizontally.

What is the difference of 12-5i and -3 + 4i

Answers

imma follow up the answer above i don’t think it’s carrot but the color orange does have a good feel to it

need help asap at this question so what's the area of the shaded shape ​

Answers

Answer:

Step-by-step explanation:

area of shaded region=area of whole region-area of white space

=9×13-5×[13-(3+2)]

=117-5×8

=117-40

=77 m²

89 times what is 6285

Answers

just do 6285:89
i got 70.61797752808989

Answer:

71

Step-by-step explanation:

6285 ÷ 89 = 71

Please help with this question

Answers

Answer:

2:5

Step-by-step explanation:

beacuse ratio is 8/20 which is equal to AP/PB= 2/5

Answer:

2.5

Step-by-step explanation:

AP is 8

PB is 20 thus

AP

PB is equal to8/20 which is 2.5

5×+6×12-3= -3×6×-15

xf es para hoy ​

Answers

X=-20 2/5,x=-20.4 so it’s x=102/5

Here are three different rules:



number of tiles = position x 1 + 1



number of tiles = position x 3 + 1



number of tiles = position x 5 + 1



How are these pattern rules the same?



How are these pattern rules different?

Answers

Answer:

they all add one

and...

the position is multiplied by different numbers

what factor makes the number sentence

7x4= 4x7

Answers

Answer:

Its a very complex solution but it x

=

0

,

3

14

2

Step-by-step explanation:

Which two expressions are
equivalent to 18p-36?
(Pick two choices)
3(9p-12)
9(2p-4p)
2(9p-18)
18(p-2)

Answers

Answer:

9(2p-18) and 2(9p-18)

Step-by-step explanation:

The equivalent expression to the expression  18p - 36 are,

9(2p - 4p) and 2(9p - 18).

What is a numerical expression?

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, An expression 18p - 36.

We know the distributive property states a(b + c) = ab + ac.

Now, The factors of 18 are, 1, 2, 3, 6, 9, 18.

Therefore,

18p - 36 can be written as,

9(2p - 4p) and 2(9p - 18).

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(50 PTS/MORE INFO INSIDE) How many outcomes do NOT show an even number on the first spinner and show a 6 on the second spinner?

Answers

Answer:

i think u forgot to add the picture bro?

Step-by-step explanation:

need help ...............................

Answers

The answer is region 1.

Please answer correctly !!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!

Answers

Answer: 13x-1

Step-by-step explanation:

Help please! (Please do not answer with links)
Three step linear equations

8x - 10 = 4x - 30

Answers

Answer:

x = -5

Step-by-step explanation:

8x - 10 = 4x - 30

Subtract 4x from each side

8x-4x - 10 = 4x-4x - 30

4x -10 = -30

Add 10 to each side

4x-10+10 = -30+10

4x= -20

Divide by 4

4x/4 = -20/4

x = -5

– 3х + 10 = 2
— 3х + Зу = 9

Answers

Answer: A! x=-1 2/5, y= 1 3/5

Step-by-step explanation:

First put -3x+3y=9 into slope-intercept form(y=mx+b)

3y=-3x+9

then solve for y

y=-1x+3

enter your y-intercept into the equation below..

2x-7(-1x+3)=-14

2x+7x-21=-14

2x+7x=-14+21(when changing sides it changes signs that's why 21 is now a positive)

2x-7x=7

-5x=7 divide -5 into 7

7/5

x=-1 and 2/5

then input x back into the first equation

-3(7/-5)+3y=9

21/5+3y=9

3y=9-21/5

3y=24/5

divide 3 into 24/5

=24/15=1 and 9/15 reduce it anddd

y=1 and 3/5

I need help again..... and FAST

Answers

Answer:

b

Step-by-step explanation:

Answer: B
Why: Reason being is that if you look at the graph the most likely answer will be B.

Pls help me fast! Thank you!

Answers

Answer:

-2.5

Step-by-step explanation:

Slope is y over x, so in this case -15/6. Do -15/6 to get -2.6

Answer:

Step-by-step explanation:

Can someone plz help me asap!

Answers

Answer:

The angle across the given measurements are the same. So there will be a 27 degrees across from the other 27 degrees. The straight line is 180 degrees, so do 180-27=153. The means the other 2 angles are 153 degrees. The other one is the same, but with different measurements. 180-35=145

Step-by-step explanation:

Let the angle adjacent to ∠27° be x .

[tex]∠x + 27 = 180° \: ( \: linear \: pair \: )[/tex]

[tex]x = 180 - 27 \\ ∠x = 153°[/tex]

Let the angle opposite to ∠27° be y .

[tex]∠y = ∠27° \: ( \: vertically \: opposite \: angles \: )[/tex]

Let the angle adjacent to ∠y ( 27°) be w .

[tex]w + ∠27° = 180° \: ( \: linear \: pair \: ) \\ w = 180 - 27 \\ ∠w = 153°[/tex]

Let the angle opposite to ∠35° be p .

[tex]∠p = ∠35° \: ( \: vertically \: opposite \: angles \: )[/tex]

Let the angle adjacent to ∠35° be a .

[tex]∠a + 35° =180 ° \: ( linear \: pair ) \\ a = 180 - 35 \\ ∠a = 145°[/tex]

Let the angle opposite to ∠35° be t .

[tex]∠t = 35° \: ( \: vertically \: opposite \: angles \: )[/tex]

Let the angle opposite to ∠145° be o .

[tex]∠o \: = 145° \: ( \: vertically \: opposite \: angles \: )[/tex]

he microsphere nanoscope is a powerful tool that allows humans to see structures 9 × 10–9 meter in diameter.


How is this number expressed in standard form?

Answers

Nan x 10^0 should be your answer
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