Consider, we need to find the expanded form of the given expression.
Given:
The expression is:
[tex]\left(a+b\right)^2[/tex]
To find:
The expanded form of the given expression.
Solution:
We have,
[tex]\left(a+b\right)^2[/tex]
It can be written as:
[tex]\left(a+b\right)^2=(a+b)(a+b)[/tex]
Using distributive property of multiplication over addition, we get
[tex]\left(a+b\right)^2=a(a+b)+b(a+b)[/tex]
[tex]\left(a+b\right)^2=a(a)+a(b)+b(a)+b(b)[/tex]
[tex]\left(a+b\right)^2=a^2+ab+ab+b^2[/tex]
[tex]\left(a+b\right)^2=a^2+2ab+b^2[/tex]
Therefore, the expanded form of the given expression is [tex]a^2+2ab+b^2[/tex].
20 POINT MATH PROBLEM HELP PLEASE
Answer:
b. x=22
Step-by-step explanation:
3x-23=43
3x=43+23
3x=66
x=22
Graph the image of rectangle after a translation 6 units right and 1 unit down.
Answer:
see image
Step-by-step explanation:
one by one, move each point
The average age of the 12 people in a classroom is 10. After Ms. Xu walks into the room,
the average age of everyone in the classroom increases to 12. How old is Ms. Xu?
Answer:
24
Step-by-step explanation:
First: 12*10=120
Then: 12*12=144
=> Ms. Xu's old: 144-120=24
Orla weighed 3.77kg when she was born.
On Orla's second birthday she weighed 12.8kg.
Calculate the percentage increase in her weight.
Answer :
70.5% weight increase
find a so the function be continuous Function
The limit as x approaches 1 from either side should match, so that
[tex]\displaystyle\lim_{x\to1^-}f(x)=\lim_{x\to1}(-2x+a)=a-2[/tex]
[tex]\displaystyle\lim_{x\to1^+}f(x)=\lim_{x\to1}x=1[/tex]
==> a - 2 = 1 ==> a = 3
The answer is a = 3.
Finding Left Hand Limit (LHL)
[tex]\displaystyle \lim_{x \to \11^{-}} f(x) = -2(1) + a[/tex]
Finding Right Hand Limit (RHL)
[tex]\displaystyle \lim_{x \to \11^{+}} f(x) = 1[/tex]
For a continuous function, LHL = RHL
-2 + a = 1a = 3What is the best estimate of the perimeter of the figure on the grid if each square has side lengths of 1 mm?
Answer:
the ans of this question is 30cm².
answer only one question No 1 only
-10369
too lazy but that's the exact value
Answer:
Step-by-step explanation:
(-2)³ *(-4)² * 3⁴ = (-8) * 16 * 81
= -10368
find the 6th term .
16,48,144
Step-by-step explanation:
a=16
r=3
48/16=3
144/16=3
6th term
=ar^(n-1)
= 16(3)^(6-1)
=3888
if f(y)=y^6/6lny-y^6/36, find f'(y)
It looks like you have
[tex]f(y)=\dfrac{y^6}{6\ln(y)}-\dfrac{y^6}{36}[/tex]
Differentating gives
[tex]f'(y)=\dfrac{6y^5\times6\ln(y)-6y^6\times\frac1y}{(6\ln(y))^2}-\dfrac{6y^5}{36}= -\dfrac{y^5\left(\ln^2(y)-6\ln(y)+1\right)}{6\ln^2(y)}[/tex]
Siti had $3249. After donating $1387 to charity, she had $237 less than Hazid. How much money did Hazid have?
Answer:
the answer is 2099
Step-by-step explanation:
after donating 1387 the money teft with her is 1862 adding to it 237 so the money with hair will be 2099
A true false test contains 24 questions. In how many different ways can this test be completed. (Assume we
don't care about our scores.)
Answer:
The total number of ways to give the answer of the question is 16777216.
Step-by-step explanation:
Total number of questions = 24
The number of possibilities so that the answer is given is only 2. It is either true or false.
So, the total number of ways to complete the test is
[tex]2^{24} = 16777216[/tex]
The Hernandez family is evenly splitting 777 liters of gasoline between their 444 cars.
How many liters of gasoline should each car get?
Answer:
1.75 liters per car
Step-by-step explanation:
777liters /444 cars=1.75 liters per car
Find the measure of WX and show work
Ans : the measure of WX = 8
Erin has 5 cans of juice and drinks 1/3 of a can daily. in how many days will she empty all the cans she has? I think it's 1/15 I'm not sure though.
This are diferente question help me please
Step-by-step
28.26 in84.9 m5024 cm277.45 mi 452.16 in1.36 mi44.15 m3.14 cmI hope it helps you
The radius of a plant pot is 4.5 cm, and its height is 6 cm. What is the volume of the pot?
Use the value 3.14 for , and round your answer to the nearest whole number.
Be sure to include the correct unit in your answer.
Answer:
381 cm³
Step-by-step explanation:
Volume of the pot = volume of a cylinder
Volume of the pot = πr²h
Where,
π = 3.14
radius (r) = 4.5 cm
h = 6 cm
Substitute
Volume of the pot = 3.14*4.5²*6
Volume of the pot = 381.51 ≈ 381 cm³ (nearest whole number)
If m and n are two rational numbers, then m+n lies between m and n
2
Answer:
19thuuzvdkedhddudhjdhdhfghfidhdhdhfheidhfjr9fddy6gqufgaqgxhrhrydudkydtdffyztstdtiztuytzmyrsyrststststsut0egjjefeigjeojokfzbkehfzifgihrxeudihxizhieg9zfjz9deffejfjiefeihfiefhiefhefiefh3fr3hi3jfhfhfkzdhf2ivuvdfuvuzfecfkfidyfl5a4
What is the solution to this inequality?
15 + x 24
O A. x 39
O B. X29
O C. XS 39
O D. XS9
The solution of the inequality will be;
⇒ x ≤ 9
What is Inequality?
A relation by which we can compare two or more mathematical expression is called an inequality.
Given that;
The inequality is,
⇒ 15 + x ≤ 24
Now,
Since, The inequality is,
⇒ 15 + x ≤ 24
Solve the inequality as;
⇒ 15 + x ≤ 24
Subtract 15, we get;
⇒ 15 + x - 15 ≤ 24 - 15
⇒ x ≤ 9
Thus, The solution of the inequality will be;
⇒ x ≤ 9
Learn more about the inequality visit:
https://brainly.com/question/13777972
#SPJ1
I need help with this.
9514 1404 393
Answer:
$400
Step-by-step explanation:
The word "per" in math often means "divided by". To find price per square foot, find price divided by square feet.
$700,000/(1750 ft²) = $400 /ft²
The price per square foot of House 4 was $400.
WILL MARK YOU JF YOU HELP PLEASE HELP ME!!
HELPPPPPPPPPP
Which of the following is equivalent to the expression below ?
square root 8 minus square root 72 plus square root 50 ?
A. 13 square root 2
B. 7 square root 2
C. 3 square root 2
D. Square root 2
Answer:
a13 square root
..cv
..
..
Please I need help asap, I will mark the best answer as Brainliest and give 20 points. I really need this if Im going to be able to study
Answer: The new point might be is 47,8 by applying the rule to both x and y
Step-by-step explanation:
I am interested in determining how long students take on average, to finish the first exam in my class. I specifically am interested in looking at students who take the class during the summer semester. I randomly pick 50 students from previous summer semesters and note how long the took on the first exam (TIME), which class they took with me - Stator Stat (CLASS), and whether they took the class online or in person (FORMAT).
Identity the following viables as either quantitative or qualitative
Class
Time
Answer:
jwruaijoii9auhyahd9i3u
w daF
wf
w
a
s
w sfjweiaeadfawjasawwg
Step-by-step explanation:
Quantitative data is supported by the empirical value in the form of counts or numbers, where each data set is attached with a particular numerical value. Qualitative data describes and can be expressed as the number of the subject.
For the class:
It is qualitative because the qualitative data is used to describes the qualifies or characteristics.In the given scenario the variable class differentiates students based on the information when the book stat I or Stat II.For the Time:
It is quantitative because the quantitative data is used to includes measurable quantity numbers.These numbers are used for the time of the quantitative variable.Learn more:
brainly.com/question/555216
anna opened a bank account she adds the same amount of money to it
Answer:
What’s the numbers? Or the question?
Step-by-step explanation:
Graph the set on a number line. {-1/2, -1 3/4}
Answer:
D
Step-by-step explanation:
Each dot is 1/4 and we are going from 0 to -2
Equilateral triangle L N M is shown.
The sides of an equilateral triangle are 8 units long. What is the length of the altitude of the triangle?
5 StartRoot 2 EndRoot units
4 StartRoot 3 EndRoot units
10 StartRoot 2 EndRoot units
16 StartRoot 5 EndRoot units
Answer:
4 StartRoot 3 EndRoot units
Hope this answer is right!!
Step-by-step explanation:
Since AD is perpendicular to BC, so ΔABD will be aright-angled triangle. Thus, the length of the altitude is 4√3 units.
The length of the altitude of the equilateral triangle is 4√3 units.
The given parameters;
Length of a side of the equilateral triangle, L = 8 unitsThe half length of the base of the triangle is calculated as follow;
[tex]x = \frac{8 \ units}{2} \\\\x = 4 \ units[/tex]
The height of the triangle is calculated by applying Pythagoras theorem as follows;
[tex]h^2 = L^2 - x^2\\\\h = \sqrt{(8^2) - (4^2)} \\\\h = \sqrt{48} \\\\h = \sqrt{16 \times 3} \\\\h = 4\sqrt{3} \ \ units[/tex]
Thus, the length of the altitude of the equilateral triangle is 4√3 units.
Learn more about equilateral triangle here: https://brainly.com/question/15294703
Solve for k:
6=7k+1
K=
Answer:
5/7
Step-by-step explanation:
6=7k+1
-1 -1
--------------
5= 7k
Divide both sides by 7k
k= 5/7
[tex]\huge\color{purple}\boxed{\colorbox{black}{k=0.714}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex]➺ \: 6 = 7k + 1[/tex]
[tex]➺ \: 7k = 6 - 1[/tex]
[tex]➺ \: 7k = 5[/tex]
[tex]➺ \: k = \frac{5}{7}\\ [/tex]
[tex]➺ \: k = 0.714[/tex]
Therefore, the value of [tex]k[/tex] is [tex]0.714[/tex].
[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}[/tex]
[tex]➺ \: 6 = 7k + 1[/tex]
[tex]➺ \: 6 = 7 \times 0.714 + 1[/tex]
[tex]➺ \: 6 = 5 + 1[/tex]
[tex]➺ \: 6 = 6[/tex]
➺ L. H S. = R. H. S.
Hence verified.
[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]
find f(1)' If u know that
g(1)=1 , g'(1)= -1
h(1)= -2 , h'(1) 3
Step-by-step explanation:
[tex]f(x) = g(x)h(x)[/tex]
Taking the derivative of f(x), we get
[tex]f'(x) = g'(x)h(x) + g(x)h'(x)[/tex]
Then [tex]f'(1)[/tex] becomes
[tex]f'(1) = (-1)(-2) + (1)(3) = 5[/tex]
what is the highest common multiple of 120 and 150
Answer:
30 I suppose
Step-by-step explanation:
PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELP MEEEEEEEEEEEEE OUTTTTTTTTTTTTTTTTTTTT I DO ANYTHING
Emma and Zeke own an on-line business, EZ Coasters, that sells cork beverage coasters, which can be bought plain or with logos. The price for both types of coasters is $3.00 each. There is also a one-time set-up charge of $25 for coasters with a logo.
1) Write an equation describing the relationship between:
a) The number of plain coasters bought and the cost of the coasters.
b) The number of coasters with a logo bought and the price of the coasters.
c) Is either coaster relationship proportional? Explain in writing how you know.
d) Explain what the unit rate of the line described by each equation means in the context of the coasters.
2) EZ Sales also sells plain natural sandstone coasters for $4.00 each.
a) Write the equation describing this relationship.
b) Indicate whether or not it is a proportional relationship and explain why?
c) Will the graph of this equation ever intersect the graph of the equations for either of the other two EZ Coasters? Explain in typing how you made your decision.
Answer:
6
Step-by-step explanation:
Answer:
Q1.
a. y = 3x + 0
b. y = 3x + 25
c. Plain is proportional because the y-intercept is zero.
d. It shows the cost of each coaster.
Q2
a. y = 4x + 0
b. It is proportional since the y-intercept is zero.
c. No the graph will never intersect because the equations in combination will result in parallel lines since there is a slight variation in the cost of EZ Coaters
