Answer:
The LCM is:
[tex](a^2+b^2)(a+b)(a-b)[/tex]
Step-by-step explanation:
Given polynomials are:
[tex]a^2+b^2\\a^4 - b^4[/tex]
We can use factorization to find the LCM of the given polynomials.
Taking the second polynomial, using the identity
[tex]a^2 - b^2 = (a+b)(a-b)[/tex]
Applying on 2nd polynomial
[tex](a^2)^2-(b^2)^2\\=(a^2+b^2)(a^2-b^2)\\=(a^2+b^2)(a+b)(a-b)[/tex]
We can see that [tex]a^2+b^2[/tex] is common in both polynomials, it will be counted only one time. The LCM of given polynomials is:
[tex](a^2+b^2)(a+b)(a-b)[/tex]
A city sets up 14 rows of chairs for an outdoor concert. Each row has 2 more chairs than the previous row. If the first row has 10 chairs, how many chairs are in the 8th row?
Answer:
24 chairs in the 8th row
Step-by-step explanation:
row 1 = 10 chairs
row 2 = 12 chairs
row 3 = 14 chairs
row 4 = 16 chairs
row 5 = 18 chairs
row 6 = 20 chairs
row 7 = 22 chairs
row 8 = 24 chairs
If A city sets up 14 rows of chairs for an outdoor concert. Each row has 2 more chairs than the previous row. If the first row has 10 chairs then 8th row has 24 chairs.
What is Sequence?A sequence is an enumerated collection of objects in which repetitions are allowed and order matters.
The first row has 10 seats,
Each row has 2 more chairs than the previous row.
10,12,14.....
a=10,d=2,n=8
The nth term of Arithmetic sequence is aₙ=a+(n-1)d
an equal to a plus n minus one times of d
a₈=10+(8-1)2
=10+7(2)
=10+14
=24
Hence If the first row has 10 chairs, then the 8th row has 24 chairs.
To learn more on Sequence click:
https://brainly.com/question/21961097
#SPJ2
a car travels at a rate of 120 kilometer per hour if 1 mile equals 1.6 kilometer which equation could be used to find the number of miles the car travels per hour ?
Answer:
75
Step-by-step explanation:
120 ÷ 1.6 = 75 since 1.6 kilometer per hour is 1 mile, the car travels 75 miles per hours
Answer:
The car travels 75 miles per hour
Step-by-step explanation:
Units of Length
The most common units of distance are millimeters, centimeters, meters, miles, and kilometers.
The equivalence from miles to kilometers is:
1 mile = 1.6 Kilometers
If we wanted to convert a given distance from kilometers to miles, we'd need to divide by 1.6, that is:
d(miles) = d(km)/1.6
The above equation can be used to find the number of miles given the number of kilometers.
If a car travels at 120 kilometers per hour, then in one hour it travels
d(km)=120
Thus, the distance in miles is:
d(miles) = 120/1.6 = 75
The car travels 75 miles per hour
Select the correct answer.
What is 22% of 50?
Α.44
B.28
C.22
D. 11
Correct Answer is :
D.) 11 is correct
explain why a + b = b + a
Answer:
it's switching around the numbers
Step-by-step explanation:
i think its switching the numbers around to confuse you a little bit but yeah.
2. What is the slope of this line?
Answer:
m=3
Step-by-step explanation:
[tex]From\ the\ graph\ we\ observe\ that,\ \\Co-ordinate pair of Point 1 = (x_1,y_1) = (2,1)\\Hence,\\x_1=2, y_1=1\\Co-ordinate pair of Point 2 = (x_2,y_2) = (3,4)\\Hence,\\x_2=3, y_2=4\\Hence,\\We\ know\ that,\\\frac{Rise(y)}{Run(x)} =m\\m=\frac{y_2-y_1}{x_2-x_1 } \\m=\frac{4-1}{3-2}\\m=3[/tex]
As a waiter, DaShawn earns $60 per week plus an average of $5 tip per table. This week, DaShawn wants his pay to be at least 250. Write an inequality to find the number of
tables DaShawn needs to serve to meet his goal, write, solve, and interpret an inequality for your final answer.
A. He should wait on no more than 30 tables to earn at least $250.
O
B. He should wait on at least 62 tables or fewer to cam at least $250.
O C. He should wait on at least 38 or more tables
earn at least $250
D. He should wait on less than 38 tables to earn less than $250.
Answer:
c
Step-by-step explanation:
A baby gains 11 pounds in its first year of life. The baby gained 4 1/4 pounds during the first four months and 3 1/2 pounds in its second four months. How much did the baby gain in the last four months.
The baby gains 3.25lbs in the last 4 months.
This problem can be solved by simple subtraction. Take the total amount and subtract the 4 month increments in order to find the find 4 months.
Total = 1st 4 months + 2nd 4 months + 3rd 4 months
11 = 4.25 + 3.5 + 3rd 4 months
11 = 7.75 + 3rd 4 months
3.25 = 3rd 4 months
Find the x−and y−intercepts.
−14x − 4y = 28
The x−intercept is
(Blank)
The y−intercept is
(Blank)
need x and y intercepts plz
do cute stuff o(〃＾▽＾〃)o
Answer:
(◕‿◕✿) (◠﹏◠✿) ôヮô ┌( ಠ‿ಠ)┘ v(⌒o⌒)v♪
(●´ω｀●)
brainliest for whoever gets it right :D
Please help asap i’m so over this lesson
Emelia earns $8.74 per hour plus a gas allowance of $3.50 per day at her job. How much does Emelia’s job pay in a day when she works 5 1 /2 hours? Write an expression and evaluate for 5 1 /2 hours.
Answer:
$51.63
Step-by-step explanation:
8.75x + 3.50y
x=5.5 y=1
(8.75x5.5) + (3.50x1)
=51.625
=$51.63
I hope this helped you! If it did, please consider rating, pressing thanks, and giving my answer 'Brainliest.' Have a great day! :)
Which point(s) are solutions to the inequality -x - 2y > 3? Select all that apply.
A. (-1, -2)
B. (1, -2)
C. (-2, -1)
D. (2.-4)
(-1, -2), (-2, -1) and (2, -4) are solutions to the inequality
The given inequality is:
-x - 2y > 3
To know which of the points given as options are the solutions to the given inequality, substitute the given points into -x - 2y, anyone that gives a result greater than 3 is a solution to the inequality
For (-1, -2)
Substitute x = -1, and y = -2 into -x - 2y
-(-1) - 2(-2)
= 1 + 4
= 5
Since 5 > 3, (-1, -2) is a solution to the inequality
For (1, -2)
Substitute x = 1, and y = -2 into -x - 2y
-(1) - 2(-2)
= -1 + 4
= 3
Since the result is not greater than 3, (1, -2) is not a solution to the inequality
For (-2, -1)
Substitute x = -2, and y = -1 into -x - 2y
-(-2) - 2(-1)
= 2 + 2
= 4
Since 4 > 3, (-2, -1) is a solution to the inequality
For (2, -4)
Substitute x = 2, and y = -4 into -x - 2y
-(2) - 2(-4)
= -2 + 8
= 6
Since 6 > 3, (2, -4) is a solution to the inequality
Therefore, (-1, -2), (-2, -1), and (2, -4) are solutions to the inequality
Learn more here: https://brainly.com/question/19507846
Write a function that is passed in a positive integer, n, and sum up all the digits from 1 to n, doubling the even numbers. In other words, calculate and return the following sum. if n is odd: 1 (2 * 2) 3 (4 * 2) ... ((n - 1) * 2) n if n is even: 1 (2 * 2) 3 (4 * 2) ... (n - 1) (n* 2)
Answer:
Written in Python
def sums(n):
total = 0
for i in range(1,n+1):
if i%2 == 0:
total = total + i*2
else:
total = total + i
return(total)
Step-by-step explanation:
The function is written in Python
def sums(n):
This initializes total to 0
total = 0
This iterates through the integers that makes up n i.e. 1,2,3.....n
for i in range(1,n+1):
This checks if current digit is even
if i%2 == 0:
If yes, it adds the double of the digit
total = total + i*2
else:
If otherwise, it adds the digit
total = total + i
This prints the calculated sum or total
return(total)
To call the function from main, use the following:
print(sums(n))
Where n is a positive integer. i.e. [tex]n \geq 1[/tex]
Does anyone have math book about scale drawings can someone help me with 6.3??? Pleaseee
como convertir
1/100 a decimales
Answer:
0.01
Is what you get when converting 1/100 into a decimal.
Which expression shows how to convert 60 hours to days? StartFraction 60 hours Over 1 EndFraction times StartFraction 1 hour Over 24 days EndFraction StartFraction 60 hours Over 1 EndFraction times StartFraction 1 day Over 24 hours EndFraction StartFraction 60 hours Over 1 EndFraction times StartFraction 24 hours Over 1 day EndFraction StartFraction 60 hours Over 1 EndFraction times StartFraction 24 days Over 1 hour EndFraction
Answer:B
Step-by-step explanation:
Questions – Impulse and Momentum
A 6.00 N force acts for 5.00 seconds on a 1.50 kg mass. Find:
A) The impulse which acted upon the mass.
B) What change in momentum is produced?
The value of the impulse will be 30 Newton-second. And the value of the momentum will be 30 kg-m/s.
What are impulse and momentum?A strong and ignorant passion or drive to act is known as an impulse.
A traveling body's momentum is measured as the combination of its mass and velocity.
A 6.00 N force acts for 5.00 seconds on a 1.50 kg mass.
Then the impulse is given as
Impulse = Force x Time
Impulse = 6 x 5
Impulse = 30 N-sec
Then the value of the momentum will be
P = m x dv
We know
F = ma
6 = 1.5a
a = 4 m/s²
Then the velocity will be
dv = a x t
dv = 4 x 5
dv = 20 m/s
Then the momentum will be
P = 1.5 x 20
P = 30 kg-m/s
More about the impulse and momentum link is given below.
https://brainly.com/question/904448
#SPJ2
Which expression has the same value as
-5 - (-9)?
A (-4)(-1)(0)
B 24 = (-6)
C (-2)-(-8)
D 8+ (-4)
Answer:
D
Step-by-step explanation:
-(-9) is a double negative, meaning when simplified it is -5+9, which is 4, and D had the same answer. A comes out to 0, B is just No, C is 6, and D is 4
Plz help plz plz plz plz
Answer:
Im sorry i do not seem to be able to see the image
Step-by-step explanation:
Which of the following is closer to 8
√61
√62
√65
√66
Answer:
√65
Step-by-step explanation:
We know that √64 is 8
So, the square root of the number closest to 64 in the list will be the closest to 8
In the List, √62 = √(64-2) [difference of 2]
√65 = √(64 + 1) [difference of 1]
Since √65 has the least difference from √64, we can say that √65 will be the closest to 8 in the given list
Name 2 same side interior angles
The population of Laredo, Texas, was about 215,500 in 2007. It was about 123,000 in 1990. If we assume that the population growth is constant and t represents the number of years after 1990, write a linear equation
Answer:
y=5441t+123,000
Step-by-step explanation:
5441 is the population increase per year and 123,000 is when we start added the population increase. to get this equation i found the population increase between 2007 and 1990 which is 215,500-123,000 which is 92,500. to find the population increase per year you divide that by 17 which is the difference between 2007 and 1990 and you would get 5441.176. but since you can have part of a person i rounded it to 5441.
Answer: y=5441t+123000
We know the population was 215500 in 2007
We also know the population was about 123000 in 1990
So first we want to find the slope (m=y2-y1/x2-x1), we subtract those two numbers 215500-123000 and subtract 2007-19990. Leaving us with 92500/17, once you divide that you’ll get 5441.17647 . But since we are talking about people you round to the nearest whole number leaving us with 5441.
Help with this please.....
3=c/-11
a.33
b.-33
c.-14
d.14
The graph of a function is the graph of its
Answer:
Step-by-step explanation:
Graph of its table of solutions or points:
x f(x) point
--- ------ ---------
0 f(0) (0, f(0)
1 f(1) (1, f(1) )
and so on
3. Are all molecules, compounds? Explain.
Answer:
Every combination of atoms is a molecule. A compound is a molecule made of atoms from different elements. All compounds are molecules, but not all molecules are compounds. Hydrogen gas (H2) is a molecule, but not a compound because it is made of only one element.
Step-by-step explanation:
Answer
Every combination of atoms is a molecule. A compound is a molecule made of atoms from different elements. All compounds are molecules, but not all molecules are compounds. For example : Hydrogen gas (H2) is a molecule, but not a compound because it is made of only one element.
Hope that helps :)
i really need help on dis
Answer:
216 square meters
Step-by-step explanation:
The lateral area of the triangular prism = the area of the 3 rectangular faces
The 3 rectangular faces have the same length and width. Therefore:
The lateral area of the triangular prism = 3(length*width)
= 3(12*6)
= 216 m²
Hey in the hood walk with my bae *gun shots* *runs* says mwninrbgbigwbbf
Answer: WHAT ARE THESE IMAO
Step-by-step explanation:
Answer:
Step-by-step explanation:
Lol
Writing Equations of Lines Given the Graph
Write the slope-intercept form of the equation of each line.
questions are on the image below :)
Answer:
1. [tex]y = 3x[/tex]
2. [tex]y = -\frac{2}{3}x + 1[/tex]
3. [tex]y = -\frac{2}{3}x - 4[/tex]
4. [tex]y = 4[/tex]
5. [tex]y = x + 5[/tex]
6. [tex]y= \frac{5}{2}x[/tex]
7. [tex]y = -7x -16[/tex]
8. [tex]y = x + 4[/tex]
Step-by-step explanation:
The steps to solving these questions involve
1. Calculate slope using: [tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
2. Calculate the line equation using point slope formula: [tex]y - y_1 = m(x - x_1)[/tex]
We'll apply the steps above in solving 1 through 8
Solving (1):
When x = 0; y = 0
When x = 1; y = 3
i.e.
[tex](x_1,y_1) = (0,0)[/tex]
[tex](x_2,y_2) = (1,3)[/tex]
Calculate slope:
[tex]m=\frac{3 - 0}{1 - 0}[/tex]
[tex]m=\frac{3 }{1 }[/tex]
[tex]m = 3[/tex]
Next, we calculate the equation
[tex]y - y_1 = m(x - x_1)[/tex]
Where:
[tex](x_1,y_1) = (0,0)[/tex] and [tex]m = 3[/tex]
[tex]y - 0 = 3(x - 0)[/tex]
[tex]y = 3x[/tex]
Solving (2):
When x = 0; y = 1
When x = 3; y = -1
i.e.
[tex](x_1,y_1) = (0,1)[/tex]
[tex](x_2,y_2) = (3,-1)[/tex]
Calculate slope:
[tex]m=\frac{-1 - 1}{3 - 0}[/tex]
[tex]m= -\frac{2}{3}[/tex]
Next, we calculate the equation
[tex]y - y_1 = m(x - x_1)[/tex]
Where:
[tex](x_1,y_1) = (0,1)[/tex] and [tex]m= -\frac{2}{3}[/tex]
[tex]y - 1 = -\frac{2}{3}(x - 0)[/tex]
[tex]y - 1 = -\frac{2}{3}(x)[/tex]
[tex]y - 1 = -\frac{2}{3}x[/tex]
[tex]y = -\frac{2}{3}x + 1[/tex]
Solving (3):
When x = 0; y = -4
When x = -3; y = -2
i.e.
[tex](x_1,y_1) = (0,-4)[/tex]
[tex](x_2,y_2) = (-3,-2)[/tex]
Calculate slope:
[tex]m=\frac{-2 - (-4)}{-3 - 0}[/tex]
[tex]m=\frac{-2 +4}{-3 - 0}[/tex]
[tex]m=\frac{2}{-3}[/tex]
[tex]m=-\frac{2}{3}[/tex]
Next, we calculate the equation
[tex]y - y_1 = m(x - x_1)[/tex]
Where:
[tex](x_1,y_1) = (0,-4)[/tex] and [tex]m= -\frac{2}{3}[/tex]
[tex]y - (-4) = -\frac{2}{3}(x - 0)[/tex]
[tex]y +4 = -\frac{2}{3}(x)[/tex]
[tex]y +4 = -\frac{2}{3}x[/tex]
[tex]y = -\frac{2}{3}x - 4[/tex]
Solving (4):
When x = 0; y = 4
When x = 4; y = 4
i.e.
[tex](x_1,y_1) = (0,4)[/tex]
[tex](x_2,y_2) = (4,4)[/tex]
Calculate slope:
[tex]m=\frac{4 - 4}{4 - 0}[/tex]
[tex]m=\frac{0}{4}[/tex]
[tex]m = 0[/tex]
Next, we calculate the equation
[tex]y - y_1 = m(x - x_1)[/tex]
Where:
[tex](x_1,y_1) = (0,4)[/tex] and [tex]m = 0[/tex]
[tex]y - 4 = 0(x - 0)[/tex]
[tex]y - 4 = 0[/tex]
[tex]y = 4[/tex]
Solving (5):
When x = -4; y = 1
When x = -1; y = 4
i.e.
[tex](x_1,y_1) = (-4,1)[/tex]
[tex](x_2,y_2) = (-1,4)[/tex]
Calculate slope:
[tex]m=\frac{4 - 1}{-1 - (-4)}[/tex]
[tex]m=\frac{4 - 1}{-1 +4)}[/tex]
[tex]m=\frac{3}{3)}[/tex]
[tex]m = 1[/tex]
Next, we calculate the equation
[tex]y - y_1 = m(x - x_1)[/tex]
Where:
[tex](x_1,y_1) = (-4,1)[/tex] and [tex]m = 1[/tex]
[tex]y - 1 = 1(x - (-4))[/tex]
[tex]y - 1 = 1(x +4)[/tex]
[tex]y - 1 = x +4[/tex]
[tex]y = x +4 + 1[/tex]
[tex]y = x + 5[/tex]
Solving (6):
When x = 0; y = 0
When x = 2; y = 5
i.e.
[tex](x_1,y_1) = (0,0)[/tex]
[tex](x_2,y_2) = (2,5)[/tex]
Calculate slope:
[tex]m=\frac{5 - 0}{2 - 0}[/tex]
[tex]m=\frac{5 }{2 }[/tex]
Next, we calculate the equation
[tex]y - y_1 = m(x - x_1)[/tex]
Where:
[tex](x_1,y_1) = (0,0)[/tex] and [tex]m=\frac{5 }{2 }[/tex]
[tex]y - 0 = \frac{5}{2}(x - 0)[/tex]
[tex]y - 0 = \frac{5}{2}(x)[/tex]
[tex]y= \frac{5}{2}x[/tex]
Solving (7):
When x = -2; y = -2
When x = 2; y = 5
i.e.
[tex](x_1,y_1) = (-2,-2)[/tex]
[tex](x_2,y_2) = (-3,-5)[/tex]
Calculate slope:
[tex]m=\frac{5 - (-2)}{-3 - (-2)}[/tex]
[tex]m=\frac{5 +2}{-3 +2}[/tex]
[tex]m=\frac{7}{-1}[/tex]
[tex]m =-7[/tex]
Next, we calculate the equation
[tex]y - y_1 = m(x - x_1)[/tex]
Where:
[tex](x_1,y_1) = (-2,-2)[/tex] and [tex]m =-7[/tex]
[tex]y - (-2) = -7(x - (-2))[/tex]
[tex]y +2 = -7(x +2)[/tex]
[tex]y +2 = -7x -14[/tex]
[tex]y = -7x -14 - 2[/tex]
[tex]y = -7x -16[/tex]
Solving (8):
When x = -3; y = 1
When x = 0; y = 4
i.e.
[tex](x_1,y_1) = (-3,1)[/tex]
[tex](x_2,y_2) = (0,4)[/tex]
Calculate slope:
[tex]m = \frac{4 - 1}{0 - (-3)}[/tex]
[tex]m = \frac{4 - 1}{0 +3}[/tex]
[tex]m = \frac{3}{3}[/tex]
[tex]m = 1[/tex]
Next, we calculate the equation
[tex]y - y_1 = m(x - x_1)[/tex]
Where:
[tex](x_1,y_1) = (-3,1)[/tex] and [tex]m = 1[/tex]
[tex]y - 1 = 1(x - (-3))[/tex]
[tex]y - 1 = 1(x +3)[/tex]
[tex]y - 1 = x +3[/tex]
[tex]y = x + 3 + 1[/tex]
[tex]y = x + 4[/tex]
HELP PLEASE FAST 20 PTS
What is m∠A?
Enter your answer in the box.
Answer:
60
Step-by-step explanation:
43+35= 78 and 180-78=102, so both angles at E are 102, and then you add 18 to get 120 and 180-120= 60.
