Answers
Answer:
7. 2b and b are like terms, [tex]b^{6}[/tex] and 3[tex]b^{6}[/tex] are like terms
8. 6 and 7 are like terms, 2n and [tex]\frac{n}{4}[/tex] are like terms
9. m and 2m are like terms, 3³ and 2 are like terms
10. 6³ and 6² are like terms, y³ and 5y³ are like terms
Step-by-step explanation:
The like terms are the terms that have the same variable with the same powerAll numerical rational terms are like termsThe numerical terms with the same radical are like termsLet us solve from No. 7 to No. 10
#7
∵ The terms are 2b, [tex]b^{6}[/tex], b, [tex]x^{4}[/tex], 3[tex]b^{6}[/tex], 2x²
∵ 2b and b have the same variable and the same power
∴ 2b and b are like terms
∵ [tex]b^{6}[/tex] and 3[tex]b^{6}[/tex] have same variable b and same power 6
∴ [tex]b^{6}[/tex] and 3[tex]b^{6}[/tex] are like terms
#8
∵ The terms are 6, 2n, 3n², 6m², [tex]\frac{n}{4}[/tex], 7
∵ 6 and 7 are numerical rational terms
∴ 6 and 7 are like terms
∵ 2n and [tex]\frac{n}{4}[/tex] have the same variable and the same power
∴ 2n and [tex]\frac{n}{4}[/tex] are like terms
#9
∵ The terms are 10k², m, 3³, [tex]\frac{p}{6}[/tex], 2m, 2
∵ m and 3m have the same variable and the same power
∴ m and 2m are like terms
∵ 3³ and 2 are numerical rational terms
∴ 3³ and 2 are like terms
#10
∵ The terms are 6³, y³, 3y², 6², y, 5y³
∵ 6³ and 6² are numerical rational terms
∴ 6³ and 6² are like terms
∵ y³ and 5y³ have the same variable and the same power
∴ y³ and 5y³ are like terms
Related Questions
The blueprints show the deep end of the pool as 8 feet below ground, which
is a depth of -8. The city wants the pool to be 5 feet deeper so a diving
board can be installed.
Answers
There were 27 meeting rooms reserved for a workshop. Each room contained 134 chairs. How many total chairs were reserved for the workshop?
Answers
Answer: 3,618
Step-by-step explanation: You multiply 27 and 134 which equals 3,618.
Answer:
There were 3,618 chairs reserved for the workshop.
Step-by-step explanation:
134 chairs per 27 rooms
134*27 = 3,618
I need 4 answers , The cost per pound of the apples on sale is $
.The cost per pound of the apples on sale is $___
.
You can buy
pounds of apples for $18.00 ___
Since 1 pound = 16 ounces, so there are about ___
apples in each pound.
You can buy approximately ____
apples for $18.00.
Answers
Mr. Ramirez purchased 20 concert tickets for a total of $225. The concert tickets cost $15 for adults and $10 for children
under the age of 12.
Write and solve a system of equations to represent the given scenario. Use the variables “a” for adults and “c” for children
plzz help
Answers
Answer:
Mr. Ramirez purchased 20 concert tickets for a total of $225. The concert tickets cost $15 for adults and $10 for children under the age of 12. Part A: Write a system of equations to represent the given scenario. Use the variable "a" for adults and "c" for children. 1.
Step-by-step explanation:
Hope this helps
What is the range of the function graphed below ?
Answers
Answer:
C
Step-by-step explanation:
I counted by recording all the numbers nd steps
Answer:
C
Step-by-step explanation:
Solve: -2+x=4 Please please answer quickly
Answers
Answer:
x = 6
Step-by-step explanation:
-2 + x = 4
x = 4 + 2
x = 6
Thank you :-)
"Write the equation of the line that is perpendicular to the line x - 4y = 20 and passes through the point (2, -5)." Thank you in advance!
Answers
Answer:
y= -4x +3
Step-by-step explanation:
① Rewrite the equation in the form of y=mx+c, to find the gradient of the given line, m.
x -4y= 20
4y= x -20
y= ¼x -5 (÷4 on both sides)
∴ Gradient of line= ¼
② Find the gradient of the new line.
The product of the gradients of perpendicular lines is -1.
¼(gradient of line)= -1
gradient of line
= -1 ÷¼
= -1 ×4
= -4
③ Substitute the value of the gradient into the equation.
y= -4x +c
④ Find the value of c by substituting a pair of coordinates.
When x= 2, y= -5,
-5= -4(2) +c
-5= -8 +c
c= -5 +8 (+8 on both sides)
c= 3
Thus, the equation of the line is y= -4x +3.
Which of the following phrases translates to the expression yn
seven more than a number
the product of a number and seven
a number decreased by seven
a number divided by seven
Answers
Answer Hope this helps ^_^ Diamond is the name
Seven more than a number
Step-by-step explanation:
More than means + that number after the term. Because +7 comes after y, +7 is more than.
Graph f(x)=-2|x+4| khan academy
Answers
Answer:
Step-by-step explanation:
Answer:
Vertex: (-4,0); points down; y-intercept: -8
Step-by-step explanation:
Jackson spent 75% of his money to buy a new MP3 player. The MP3 player costs $90. How much money did Jackson have?
WILL RECIEVE ANYTHING
Answers
Answer:
wfek
Step-by-step explanation:
Answer:
120
Step-by-step explanation:
120 times 0.75 =90
The centroid cuts each median into two segments. The shorter segment is _ _ _ _ the length of the entire segment.
Answers
Answer:
Step-by-step explanation:
One third
The centroid of a triangle divides each median.
The shorter segment is 1/3 and the length of the entire segment is 1
The centroid of a triangle divides the median in the following ratio
[tex]\mathbf{Ratio = 2 : 1}[/tex]
The fraction of the shorter segment is:
[tex]\mathbf{Short = \frac{1}{1 + 2}}[/tex]
[tex]\mathbf{Short = \frac{1}{3}}[/tex]
Hence, the shorter segment is 1/3, while the entire segment is 1.
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Answers
In ΔXYZ the sides YZ = x, XZ = y, and YZ = z, and x>y>z. Which angle of the triangle can have measure of 60º?
Answers
Answer:
Following are the solution to this question:
Step-by-step explanation:
In the query, there is an error. This will find Angle YXZ and the angle YZX.
The student said YXZ angle and YXZ angle but he said it was incorrect. I've been doing my hardest to fix it.
[tex]\to \sin x = \frac{\text{opposite side of x}}{hypotenuse}\\\\\to \frac{x}{2x} = \frac{1}{2}\\\\\to \sin x = \frac{1}{2}\\\\\to \sin x = \sin 30^{\circ}\\\\\to x = 30^{\circ} \\\\\to \angle YXZ = 30^{\circ}\\\\[/tex]
[tex]\to \cos Z = \frac{\text{Adjacent side of z}}{hypotenuse}\\\\\to \frac{x}{2x} = \frac{1}{2}\\\\ \to \cos Z = \frac{1}{2}\\\\ \to \cos Z= \cos 60^{\circ}\\\\\to Z = 60^{\circ} \\\\ \to \angle YZX = 60^{\circ}[/tex]
Every female bear has 3 baby cubs. What is the constant of proportionality for the ratio of cubs to female bears? (4 points)
one-half
one-third
3
2
Answers
***3***
The constant of proportionality for the ratio of cubs to female bears is 3.
The constant of proportionality is typically used when we are comparing something with another thing.
In this case, since every female bear has 3 baby cubs, the constant of proportionality for the ratio of cubs to female bears will be:
= 3/1
= 3
In conclusion, the correct option is 3.
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The directrix of a parabola is y = 4. Its focus is (2,6).
What is the standard form of the parabola?
Answers
Answer:
Step-by-step explanation:
The standard form of parabola having vertex ( 2 , 5) is given by y = [tex]\frac{1}{4}[/tex] ( x - 2 )² + 5.
What is a parabola ?
A parabola is a plane curve that is produced when a point moves so that its distance from a given point equals its distance from a fixed line.
We know that , the standard form or general equation of a parabola is given by :
y = a ( x - h )² + k
where : vertex is (h, k) and focus ( h , k + p)
We know that here directrix is y = k - p and a is a = [tex]\frac{1}{4p}[/tex]
It is given that focus is (2 , 6).
From focus :
h = 2 and k + p = 6
whereas from directrix :
k - p = 4
Adding both
k + p = 4
k - p = 6
We get :
2k = 10
or
k = 5
So ,
p = 1
And vertex will be :
(h , k) = (2 , 5).
The vertical distance from vertex to directrix p = 1 :
y = a ( x - 2 )² + 5
here , a = [tex]\frac{1}{4p}[/tex] or a = 1/4
So , the standard form of given parabola will be :
y = [tex]\frac{1}{4}[/tex] ( x - 2 )² + 5
Therefore , the standard form of parabola having vertex ( 2 , 5) is given by y = [tex]\frac{1}{4}[/tex] ( x - 2 )² + 5.
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Una antena de televisión será sujeta con un cable de 6 m de longitud de la parte superior de la misma, a una argolla que se encuentra en el piso de la azotea, con un ángulo de inclinación de 60° con respecto al piso, ¿qué longitud tiene la antena?
Answers
Answer:
5.196 m
Step-by-step explanation:
p = La perpendicular del triángulo es la longitud de la antena.
h = La hipotenusa del triángulo es la longitud del cable conectado a la parte superior del poste = 6 m
[tex]\theta[/tex] = Incline el cable con el suelo = [tex]60^{\circ}[/tex]
De las funciones trigonométricas sabemos que
[tex]\sin\theta=\dfrac{p}{h}\\\Rightarrow p=h\sin\theta\\\Rightarrow p=6\times \sin60^{\circ}\\\Rightarrow p=6\times\dfrac{\sqrt{3}}{2}\\\Rightarrow p=3\sqrt{3}\\\Rightarrow p=3\times 1.732=5.196\ \text{m}[/tex]
La longitud de la antena es 5.196 m.
if you had two = five what would five + seven be
Answers
Answer:
14
Step-by-step explanation:
2 plus 5 plus 7
The image of the point (9,0) under a translation is (7,4). Find the coordinates of
the image of the point (0,8) under the same translation.
Answers
Answer:
(-2, 12)
Step-by-step explanation:
PLEASE HELP ME WITH THESE QUESTIONS ASAP
Answers
Answer:
D.
Step-by-step explanation:
Answer:
the answer is d 64 because a rational number is a whole number not decimals.
Step-by-step explanation:
brainliest pls
What is the remainder when 4x3+8x−32 is divided by x+10?
Answers
Please help me.......
Answers
Answer:
x=206
Step-by-step explanation:
Solve for z.
11z + 2z = -13
Answers
Answer:
z = -1
Step-by-step explanation:
add like terms: 13z = -13
divide both sides by 13: z = -1
Answer:
z=-1
Step-by-step explanation:
Combine like terms: 11+2 ( 13z )
Divide: -13/13 ( -1 )
Solve the following equation
5x + 2 = 4x - 1
Answers
Answer:
x=-3
Step-by-step explanation:
Solve for x:
5x+2=4x−1
Move all terms containing x to the left side of the equation.
x+2=−1
Move all terms not containing x to the right side of the equation.
x=−3
What is the value of x?
Answers
Answer:
x = 18
These two angles are formed by a transversal that cuts through 2 parallel lines. This means that (5x + 2) on line m corresponds to the angle on the right of (5x-2) on line n.
Now that we can see (5x + 2) and (5x - 2) are on a straight line, we can say that (5x + 2) + (5x - 2) = 180
10x + 0 = 180
10x = 180
x = 180/10
x = 18
Which angles are vertical angles?
Answers
Answer:
T and Q
Step-by-step explanation:
It is right
Answer:
<STQ and <UTV
Step-by-step explanation:
A picture frame has a perimeter of 62 inches. The difference between the
length and twice the width is 1 inch. What are the length and width of the
frame?
Answers
Explanation: from the question we know that L=2w + 1 and we also know that a rectangle has the perimeter of 62 when we plug it in the equation we will get 62= 2(2w+1+w) we will multiply the 2 now and we will get 62=4w+2+2w we will combine like terms and we will minus two from both sides ending up with 60=6w we will divide six from both sides and we will get w=10 then we will use l=2w+1 to find the length and it will be 21
What is the weight of a 10 kg dog
100 kg
5
O
1N
90N
O
100N
Answers
Find the length of a rectangular lot with a perimeter of 144 m if the length is 6 m more than the width. A. 72m B. 39 m
C. 33 m
D. 78 m
Answers
He did on D. 78 m
Jsjskksjmsmsms
Answer:
Correct Answer is B
39 m
Step-by-step explanation:
Perimeter is the sum of all sides, and if the length is 6m more than the width, then is 39
39 + 39 = 78
144 - 78 = 66
66/2 = 33
39m is 6m more than 33m.
The sum of all sides 39 + 39 + 33 + 33 = 144
Two groups are going on a trip to the theater. The first group has 30 students in for adult chaperones. The second group has 25 students in for adult chaperones. The cost, in dollars, for each student ticket, S, and each adult ticket, A, can be determined using the system of equations below
Answers
Answer:
$20
Step-by-step explanation:
Two groups are going on a trip to a theater. The first group has 30 students and 4 adult chaperones. The second group has 25 students and 4 adult chaperones. The cost, in dollars, for each student ticket, s, and each adult ticket, a, can be determined using the system of equations below.
30s+4a=720
25s+4a=620
What is the cost for each student ticket?
Solution:
30s+4a=720
(1)
25s+4a=620 (2)
Subtract (2) from (1)
30s - 25s = 720 - 620
5s = 100
Divide both sides by 5
s = 100/5
= 20
s = $20
Substitute the value of s into (1)
30s + 4a = 720
30(20) + 4a = 720
600 + 4a = 720
4a = 720 - 600
4a = 120
a = 120 / 4
= 30
a = $30
Each student tickets cost $20
6. Consider the inequality 12<-3 (x + 4). Which value of xis part of the solution set of this inequality?
Answers
Answer:
x < -8
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define inequality
12 < -3(x + 4)
Step 2: Solve for x
Distribute -3: 12 < -3x - 12Add 12 to both sides: 24 < -3xDivide -3 on both sides: -8 > xRewrite: x < -8Here we see that any value x that is smaller than -8 would work.