Are 8x²y and -5yx2 like terms? Explain.

Answers

Answer 1

Answer:

In algebra, like terms are terms that have the same variables and powers. ... Unlike terms are two or more terms that are not like terms, i.e. they do not have the same variables or powers. The order of the variables does not matter unless there is a power.

Answer 2

Answer:

These are not like terms.

Step-by-step explanation:

Although their variables are the same, the exponents are different.  LIke terms must have the same variables AND same exponents.  The first term's variables are: x raised to the second power times y, while the other term's variables are:  y times x times 2

2x ≠ x²


Related Questions

Which theorem can be used to show that AABC = ADEC?

Answers

ASA. It’s the angle side angle since you’ve got the vertical angles, a side in the middle, and the other set of congruent angles.

If f(x) = 9^x , them prove that : f(m+n+p) = f(m) × f(n) × f(p) .​

Answers

Answer:

f(m+n+p) = 9^(m+n+p)

while f(m) × f(n) × f(p) = 9^m+9^n+9^p = 9^(m+n+p)

so the second property explains why it's a + instead of ×

Multiply (x + 1)(x + 3)

Answers

Answer:

x² + 4x + 3

Step-by-step explanation:

(x + 1)(x + 3)

Each term in the second factor is multiplied by each term in the first factor, that is

x(x + 3) + 1 (x + 3) ← distribute parenthesis

= x² + 3x + x + 3 ← collect like terms

= x² + 4x + 3

Answer:

it's the answer ...

hope your day will be happy

and the last add 3x+x = 4x

Simplify each expression

Answers

I believe the answer is this, but I do not know.

A line contains L(-4, -4) and M(2,3). Line q is in the same coordinate plane but does not intersect LM. Line q contains point N.

Answers

A general line equation can be written as:

[tex]y = a*x + b[/tex]

Where a is the slope and b is the y-intercept.

Here we will find that for N(x₁, y₁), the line q is:

[tex]y = \frac{7}{6}*x + (y_1 - \frac{7}{6}*x_1)[/tex]

If we know that the line passes through the points (x₁, y₁) and (x₂, y₂), then we can write the slope as:

[tex]a = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

In this case, we know that the line passes through (-4, -4) and (2, 3), then the slope is:

[tex]a = \frac{3 - (-4)}{2 - (-4)} = \frac{7}{6}[/tex]

So the line is something like:

[tex]y = \frac{7}{6} *x + b[/tex]

To find the value of b, we can use one of the two points, for example (2, 3) means that when x = 2, y must be equal to 3, then we can replace these two in the line equation to get:

[tex]3 = \frac{7}{6}*2 + b\\\\3 = \frac{7}{3} + b\\\\3 - \frac{7}{3} = b = 2/3[/tex]

Then the line LM is;

[tex]y = \frac{7}{6}*x + \frac{2}{3}[/tex]

Now we know that line q is in the same coordinate plane, but does not intersect LM. This means that these lines are parallel, and remember that two parallel lines have the same slope, then the slope of line q is also 7/6.

Now we know that line q passes through point N, but we do not know the coordinates of point N, then let's use general coordinates as N(x₁, y₁)

Then line q will be:

[tex]y = \frac{7}{6}*x + c[/tex]

To find the value of c we use the point N.

[tex]y_1 = \frac{7}{6}*x_1 + c\\\\y_1 - \frac{7}{6}*x_1 = c[/tex]

Then the equation of line q is:

[tex]y = \frac{7}{6}*x + (y_1 - \frac{7}{6}*x_1)[/tex]

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Simplify 8(3 - 2x).

16x - 24
24x - 16
24 - 16x

Answers

24 - 16x

Step-by-step explanation:

8(3-2x)

=24 - 16x

Answer:

The last option (24 - 16x)

Step-by-step explanation:

You must FOIL the equation by multiplying every expression within the parentheses by 8, the number outside the parentheses.

[tex]8\times3=24\\8\times-2x=-16x\\24-16x[/tex]

Which statement is true about the diagram?

A line has points A, K, B, T. The distance from A to B is 10, the distance from K to B is 5, and the distance from B to T is 4.
K is the midpoint of AB.
B is the midpoint of KT.
AK = BT
AB = KT

Answers

K is the midpoint of AB, which is the correct answer that would be option (A).

What is Midpoint?

A midpoint is defined as in the middle of the line connecting two points a position known as a midpoint. A location in the middle of a line connecting the two points that are equally far from both points is the midpoint.

What is a Line Segment?

A line segment is defined as a measured path between two places. Line segments can make up any polygon's sides because they have a set length.

The figure given shows a line segment AT, where the length of line segment AT refers to the distance between its endpoints, A and T.

Here AB = 10, KB = 5, and BT = 4.

Since AB = AK + KB,

We have that 10 = AK+5,

And AK= 10 - 5 = 5.

This means that AK = KB = 5 and K is the midpoint of AB

Therefore, K is the midpoint of AB, which is the correct answer that would be an option (A).

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Answer:

a

Step-by-step explanation:

What number doubled and added to 12 gives 20?​

Answers

Answer:

8

Step-by-step explanation:

4 doubled and added to 12 gives 20.

What is algebraic expression?

A number, a variable, or a mix of numbers, variables, and operation symbols make up an expression. Two expressions joined by an equal sign form an equation. Word illustration: The product of 8 and 3. Word illustration: The product of 8 and 3 is 11

Given

Let number be x

2x + 12 = 20

2x = 20-12 = 8

2x = 8

x = 8/2 = 4

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Find the Mean Median, Mode, and Range of the following numbers. 7, 10, 10 14, 29 Mean _______ Mode________ Median______ Range_______

Answers

Mean is the average do 7+10+10+14+29 /5 = 14

median is the middle number so 10

mode is the most frequent number so 10

range is the largest number minus the smallest so 29-7 =22

Answer:

Mean ___14____ Mode__10______ Median___10___ Range__22_____

Step-by-step explanation:

7, 10, 10, 14, 29

The mean is the numbers added and then divided by the number of terms

mean: (  7+ 10+ 10+ 14+ 29)/5 =70/5 = 14

Median is the middle number when they are arranged from smallest to largest

10 is the middle number

Mode is the number that occurs most often

10 is the mode

Range is the largest number minus the smallest number

29 -7 =22

Terry has 14 coins. She has some quarters, 5 nickels and one dime more than she has nickels. How many of
each coin does she have? How much money does she have all together?

Answers

$1.60

5 nickels = 25¢
6 dimes = 60¢
3 quarters = 75¢

25+60+75=160

Answer:

1.60 ............................

PLease help its line segments

Answers

Answer:

48

Step-by-step explanation:

FG:24

then

GH:also 24

24+24=48

48

Because 24 is half way so you double that and that is 24+24 which is 48

express tan J as a fraction in simplest terms​

Answers

Answer:

tan j = 15/9

Step-by-step explanation:

tan(theta) is equal to perpendicular by base

My victory will be in your hands if you answer this ✌✌✌✌✌

Answers

Add dress and shoes together:

30 + 25 = 55

1/5 off means the total after discount would be 4/5 ( 1 - 1/5 = 4/5)

Multiply total price by 4/5:

55 x 4/5 = (55 x4)/5 = 220/5 = 44

Total after discount is 44

Now add shipping:

44 + 8 = 52

Total paid = £52

Answer:

She will pay $52

Step-by-step explanation:

So she buys them both, which equals 55 dollars. But the website has a deal that is if you buy both of them it's 1/5 of the price off. And 1/5 of 55 is $11, so 55-11=44. You might think you're done but your not. At the end it says they add $8 for the shipping/handling, which is 44+8. This equals 52 dollars.  By the way substitute this money sign $ for the one on your page

What is the equation of the line that passes through the point (4,-8)(4,−8) and has a slope of -1/2

Answers

9514 1404 393

Answer:

  y +8 = -1/2(x -4)

Step-by-step explanation:

The point-slope form of the equation of a line is ...

  y -k = m(x -h) . . . . . . . line with slope m through point (h, k)

Your line has a slope of -1/2 and goes through point (4, -8). Its equation is ...

  y +8 = -1/2(x -4)

_____

In slope-intercept form, this is ...

  y = -1/2x -6

In standard form, it is ...

  x +2y = -12

Prove that the bisector of the vertical angle of isosceles triangle is the perpendicular bisector of the base

Answers

Answer:

We will take two angles and name them 'x'

And their sum must equal 180

So,

x + x = 180

2x = 180

x = 180/90

x = 90

Hence, it is proved that the bisector of the vertical angle of isosceles triangle is the perpendicular bisector of the base.

Simplify: (14^6*15^5)/(35^6*6^5)​

Answers

Answer:

2/5

Step-by-step explanation:

=(2*7)^6 * (3*5)^5/ (7*5)^6 * (2*3)^5

=(2^6 * 7^6) * ( 3^5 * 5^5) / (7^6 * 5^6) * ( 2^5* 3^5)

=2^5 * 2^1 * 5^5/ 5^5 * 5^1 *2^5

=2/5

The simplified expression of (14^6*15^5)/(35^6*6^5)​ is 2/5

How to simplify the expression?

The expression is given as:

(14^6*15^5)/(35^6*6^5)​

Express 14 as 2 * 7, 15 as 3 * 5 and 35 as 5 * 7

[tex]\frac{(2 * 7)^6 * (3 * 5)^5}{(5 * 7)^6 * (2 * 3)^5}[/tex]

Expand the expression

[tex]\frac{2^6 * 7^6 * 3^5 * 5^5}{5^6 * 7^6 * 2^5 * 3^5}[/tex]

Divide the common factors

[tex]\frac{2}{5 }[/tex]

Rewrite as:

2/5

Hence, the simplified expression of (14^6*15^5)/(35^6*6^5)​ is 2/5

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What are the two conditionals that form the statement below? Two numbers are reciprocals if and only if the product is one

Answers

The two conditional are:
1. Two numbers are reciprocals, if their product is one.
2. Two numbers are reciprocals only if their product is one.

But that #2 is another way to say
2. If two numbers are reciprocals, then their product is one.

This is how “if and only if” statements work, that knowing one side of the statement is true guarantees you know the other side is too and it has to work both ways.

Need help with 6 and 7

Answers

Answer:

part 7 = 15cm

Step-by-step explanation:

[tex]x {}^{2} = (12) {}^{2} + (9) {}^{2} \\ x {}^{2} = 144 + 81 \\ x {}^{2} = 225 \\ x = \sqrt{225} = 15[/tex]

Plz help this is important

Answers

You divide the x coordinates of the a and b

Answer:

(0,-5)

Step-by-step explanation:

To find midpoint the formula is

([tex]\frac{x1+x2}{2}[/tex] , [tex]\frac{y1+y2}{2}[/tex])

So plug in the numbers

([tex]\frac{2+(-2)}{2}[/tex], [tex]\frac{-1+(-9)}{2}[/tex]) = ( [tex]\frac{0}{2}[/tex] , [tex]\frac{-10}{2}[/tex])

Simplify it and it equals (0,-5)

At 4:00 a.m., the temperature was -9°F. At noon, the temperature was 18°F. What
was the change in temperature??
help me pls :\

Answers

The temperature went up by 9 three times, I’m not 100% sure if I’m correct however I think it is this because it’s going up in that pattern

Which statement is true about the given information?

A line has points B, C, D, and E. All points are equal distances from each other.

BD = One-halfBC
BC = One-halfBE
BD ≅ CE
BC ≅ BD
Mark this and return

Answers

Answer:

I think the answer is BD ≅ CE

Will Mark Brainliest
A couple is getting married. The event venue for their reception costs $3000 plus $20 per guest for catering. Decorations will cost $750. If the couple wants to keep the total cost of their reception under $6,000, what is the maximum number of guests that they can invite? Define a variable, write an inequality and solve.

Answers

Answer:

112.5 guests

Step-by-step explanation:

3,000 + 750 = 3,750. 6,000 - 3,750 = 2,250. 2,250/20 = 112.5 hope this helps

A) 10/10

B) 5/5

C) 1/1

D) 2/2

E) 8/8

Answers

Answer:

B) 5/5

Step-by-step explanation:

5/10 ÷x = 1/2

Divide the top and bottom by 5/5

5/10 ÷ 5/5 = =1/2

Answer:

D 2/2

Step-by-step explanation:

The average volleyball player is 74 inches tall. What is the average height in meters?

Answers

Answer:

1.88 m

Step-by-step explanation:

74 ÷ 39.37 = 1.88m

1 meter = 39.37 inches

7. Dean has a checking account at City Center Bank. During the month of April, he made deposits
totaling $2,458.52 and wrote checks otaling $789.23. He paid a maintenance fee of $25 and
earned $3.24 in interest. His balance at the end of the month was $4,492.76. What was the
balance at the beginning of April

Answers

Answer:

2848.47

Step-by-step explanation:

Tom bought $81 worth of milk. The price of a bottle of Brand A milk was $1.50 and of Brand B milk was $2.10. He bought 40 bottles of Brand A milk. How many bottles of Brand B milk did he buy? ​

Answers

he spent $60 on brand a milk so that means he spent $21 on brand b milk so that means bought 10 bottles of brand be milk
He bought 10 brand b milk

Sami orders cowboy hats online for a party. They cost $11.95 each with a shipping fee of $7.95.
Sami recently paid $223.05 for some cowboy hats.
Write an equation that to find the number of cowboy hats Sami ordered. Then find the number of
cowboy hats she ordered,

Answers

Answer:

223.05/x(11.95+7.95) 11.21.

Step-by-step explanation:

If each hat costs 11.95 plus a shipping fee of 7.95, you must add those numbers together. This makes the variable that will help indicate the number of hats ordered. Then you divide 223.05 by 19.9 (the total cost per hat) and you'll get your answer of 11.21 rounded.

Solve the compound inequality graph the solution -2 is less than or equal to 2x - 4 is less than 4

Answers

1,4                                

pls give me brainliest thanks and 5 start have nice day I know this is correct.

Answer:

-2 ≤ 2x-4 < 4

pls answer my question ​

Answers

Answer:

a=1,2,4,5,6,7

b=1,7

c=2,5

d=4,6

HCF of 32,48,64 is 16

I need some help solving this.

6÷2(1+2)

Answers

Answer:

it is 1

Step-by-step explanation:

brainliest?

Answer:

9

Step-by-step explanation:

According to the BODMAS

Bracket first, division second, multiplication third

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