Factorize;Answer the tick one i will mark you as brainlist please quickly step by step explanation also please show it clearly i will mark you as brainlist
Answers
Answer:
Solved only ticked ones
4a² + 49b² = (2a + 7b)² - 28ab = 11² - 28*2 = 654x² + 9y² = (2x + 3y)² - 12xy = 12² - 12*6 = 724x² + 9y² = (2x - 3y)² + 12xy = 2² + 12*8 = 10016x² + 25y² = (4x - 5y)² + 40xy = 6² + 40*8 = 356Answer:
use the formula:
[tex]a {}^{2} + {b}^{2} = (a + b) {}^{2} - 2ab[/tex]
1) 4a² + 49b²
= 2²a² + 7²b²
= (2a)² + (7b)²
based on the formula above, a = 2a and b = 7b
= ( 2a + 7b )² - 2(2a)(7b)
substitute 2a+7b = 11 into the equation
= 11² - 2( 14ab )
= 121 - 28ab
substitute ab = 2 into the equation
= 121 - 28(2)
= 121 - 56
= 65
2) 4x² + 9y²
= 2²x² + 3²y²
= (2x)² + (3y)²
based on the formula, a = 2x and b = 3y
= ( 2x + 3y )² - 2(2x)(3y)
substitute 2x+3y = 12 into the equation
= 12² - 2(2x)(3y)
= 144 -2(6xy)
= 144 - 12xy
substitute xy = 6 into the equation
= 144 - 12(6)
= 144 - 72
= 72
3) 4x² + 9y²
= 2²x² + 3²y²
= (2x)² + (3y)²
= (2x)² - (-3y)²
based on the formula, a=2x and b=-3y
= ( 2x-3y )²- 2(2x)(-3y)
substitute 2x-3y = 2 into the equation
= (2)² - 2(2x)(-3y)
= 4 - 2( -6xy )
= 4 + 12xy
substitute xy = 8 into the equation
= 4 + 12(8)
= 4 + 96
= 100
4) 16x² + 25y²
= 4²x² + 5²y²
= (4x)² + (5y)²
= (4x)² - (-5y)²
based on the formula, a = 4x and b = -5y
= (4x-5y)² - 2(4x)(-5y)
substitute 4x-5y = 6
= (6)² -2(4x)(-5y)
= 36 -2(-20xy)
= 36 + 40xy
substitute xy = 8 into the equation
= 36 + 40(8)
= 36 + 320
= 356
Related Questions
Please answer correctly !!!!!!!!!!!! What is the triangle ?!!!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answers
Isosceles Right
Isosceles, since the two side lengths are equal, and it is a right triangle since it has a 90 degree angle and two other 45 degree angles.
Answer:
Isosceles Right
Step-by-step explanation:
Brandie lives on the twelfth floor of her apartment building. She walks down 2 flights to visit a friend, then up 3 flights to deliver a message to a neighbor. Which integer best represents the number of flights Brandie must walk to get back to her starting point?
A). -12
B). -1
C). 5
D). 7
Answers
Answer:
Option (B) is the correct answer.
Step-by-step explanation:
Let 'x' the starting point be
She walks down 2 flights to visit a friend.
so walking down means we need to add 2 units to the starting point x
[tex]x+2[/tex]
Then he walks up 3 flights to deliver a message to a neighbor.
now subtracting 3 units from (x+2)
[tex]x + 2 - 3 = -1[/tex]
x = -1 means now he is UP to 1 point where he started his flight.
Thus, he needs to walk down 1 more flight to reach her starting point
Thus, -1 is the number of flights Brandie must walk to get back to her starting point.
Therefore, option (B) is the correct answer.
Match each word to its definition. 1. biased sample 3 sample where every member of the population has an equal chance of being selected 2. convenience sample 4 sample where members volunteer to take part 3. unbiased sample 6 members are selected from the different subgroups within a population 4. self-selected sample 5 sample members are selected through the use of a rule 5. stratified sample 2 sample where representatives are easily accessible 6. systematic sample 1 sample not representative of the entire population
Answers
Answer:
1. Unbiased sample.
2. Self-selected sample.
3. Stratified sample.
4. Systematic sample.
5. Convenience sample.
6. Biased sample.
Step-by-step explanation:
1. Unbiased sample: sample where every member of the population has an equal chance of being selected.
For example, a researcher randomly selecting a shopping mall and questioning the customers coming there.2. Self-selected sample: sample where members volunteer to take part.
For example, a researcher uploading a questionnaire online and then requesting for brainly members to take part.3. Stratified sample: members are selected from the different subgroups within a population.
For example, when a geographical region is stratified into subgroups by climate, habitat, soil type or elevation. A population grouped by males or females.4. Systematic sample: sample members are selected through the use of a rule.
For example, a researcher selecting the 10th house on a particular street.5. Convenience sample: sample where representatives are easily accessible.
For example, a researcher using a social media poll such as Twitter polls.6. Biased sample: sample not representative of the entire population.
For example, a researcher selecting only females when trying to determine the best cook in a class.Answer:
1. biased sample
5
members are selected from the different subgroups within a population
2. convenience sample
6
sample members are selected through the use of a rule
3. unbiased sample
2
sample where representatives are easily accessible
4. self-selected sample
3
sample where every member of the population has an equal chance of being selected
5. stratified sample
4
sample where members volunteer to take part
6. systematic sample
1
sample not representative of the entire population
Step-by-step explanation:
this is so confusing ngl
Answers
Answer:
The ornament is 1, the light is 4, the grinch is 12, the hat is 16, and the dog reindeer thing is 48
I don’t know if this correctly !!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!! PLEASE ANSWER !!!!!!!!!!!!!!
Answers
Step-by-step explanation:
the three angles =180
because they are supplementary angles
I hope this help
Please help! I think of a number, I double it, and then add 3. The result is 19. Write this in the form of an equation and then solve the equation to find the number I was thinking of.
Answers
Answer:
8
Step-by-step explanation:
Y×2+3=19
19-3=16
16÷2=8
You subtract the 3 first to get what the number was when doubled. After getting that number you would divide it by 2 to get the number that you thought of.
if i have 50 assignments to do and 4 days to do ot how many assignments do i need to do a dwy to get them done on time
Answers
Answer:
12.5assignments
Step-by-step explanation:
50 assignments over 4 days
50/4
=12.5 assignments
Answer: I just did a semesters worth of work in a day and a half. You can do this!!! I know it’s frustrating and hard and you’re probably burned out but keep pushing. It’s worth it :)
Step-by-step explanation:
Please help me please help!!
Answers
Answer:
(1) -27
Step-by-step explanation:
[tex]-2(-3)^2+3(-3)[/tex][tex]-2(9)+(-9)[/tex][tex]-18-9[/tex][tex]-27[/tex]Find the area of a circle with radius = 12cm give your answer rounded to 3SF
Answers
Answer:
452.4
Step-by-step explanation:
area is given by πradius squared which gives answer as 452.389
Answer:
452.39 because you have to take the radius squared times pie or 3.14 to get the area so your answer would be 452.39
Step-by-step explanation:
Hope it helps
If you have a negative value for m what quadrants will the line be in?
Answers
Answer:
If the slope of a line is negative, the line WILL intersect quadrants II and IV. X and Y intersects of the line with negative slope have the same sign. Therefore if X and Y intersects are positive, the line intersects quadrant I; if negative, quadrant III.
Step-by-step explanation:
write 3/4 as a decimal. Use method 1
Answers
Answer:
0.75
Step-by-step explanation:
[tex]( \sin^{2} ( \frac{\pi}{ 4 } - \alpha ) ) = \frac{1}{2} (1 - \sin(2 \alpha ) )[/tex]
Prove
Answers
Step-by-step explanation:
[tex] \sin^2 (\frac{\pi}{4} - \alpha) = \frac{1}{2}(1 - \sin 2\alpha) [/tex]
Use the identity
[tex] \sin^2 \theta = \dfrac{1 - \cos 2\theta}{2} [/tex]
on the left side.
[tex] \dfrac{1 - \cos [2(\frac{\pi}{4} - \alpha)]}{2} = \frac{1}{2}(1 - \sin 2\alpha) [/tex]
[tex] \dfrac{1 - \cos (\frac{\pi}{2} - 2\alpha)}{2} = \frac{1}{2}(1 - \sin 2\alpha) [/tex]
Now use the identity
[tex] \sin \theta = \cos(\frac{\pi}{2} - \theta) [/tex]
on the left side.
[tex] \dfrac{1 - \sin 2\alpha}{2} = \frac{1}{2}(1 - \sin 2\alpha) [/tex]
[tex] \frac{1}{2}(1 - \sin 2\alpha) = \frac{1}{2}(1 - \sin 2\alpha) [/tex]
A 12 cm by 20 cm painting hangs in a museum. The museum curator wants to hang other paintings in the gallery that are proportional in size. The dimensions of several paintings are shown. Which paintings' dimensions are proportional to the original painting? Select all that apply. A. 1.5 cm by 2.5 cm B. 27 cm by 45 cm C. 9 cm by 15 cm D. 30 cm by 50 cm E. 6 cm by 14 cm
Answers
Answer:
A. 1.5 cm by 2.5 cm
B. 27 cm by 45 cm
C. 9 cm by 15 cm
D. 30 cm by 50 cm
Step-by-step explanation:
The dimensions of the original painting = 12 cm by 20 cm painting
Hence, the proportion is:
12/20 = 0.6
Hence, we compare the options given in the question.
A. 1.5 cm by 2.5 cm
= 1.5/2.5 = 0.6 , option A is correct
B. 27 cm by 45 cm
27cm/45 cm = 0.6 Option B is correct
C. 9 cm by 15 cm
9cm/15cm = 0.6 , Option C is correct
D. 30 cm by 50 cm
30 cm /50 cm = 0.6 Option D is correct
E. 6 cm by 14 cm
6cm/14 cm = 0.4285714286
Option E is not correct
Therefore, Options A to D are the correct options
First one
11
12
23
1
Second one
11
12
23
1
Answers
Answer:
Step-by-step explanation:
AD is 11 and BC is 12. We know this because AD and BC are parallel, as well as AB and DC. This means all the right triangles are congruent. I hope you understand. Let me know if you need more explanation! Please mark brainliest if correct, too.
Noya needs to determine the number of books that will fit into a box. If the box has a length of 18 inches and each book is StartFraction 2 Over 9 EndFraction of an inch thick, which expression can be used to determine the number of books that will fit into the box? 18 2/9 18 times 2/9 2/9 divided by 18 9/2 divided by 18
Answers
Answer:
A. 18÷2/9
Step-by-step explanation:
A. 18÷2/9
B. 18×2/9
C. 2/9÷18
D. 9/2÷18
Let
Total length of box = 18 inches
Thickness of each book = 2/9 inches
Number of books that will fit into the box = x
Number of books that will fit into the box = Total length of box ÷ Thickness of each book
x = 18 ÷ 2/9
= 18 × 9/2
= 162/2
= 81 books
The correct answer is A. 18÷2/9
What is the measure of BCD?
Enter your answer in the box.
the measure of BCD = [ ]
Answers
Answer: 77
Took the test :)
hi sorry im slow could anyone help ?
Answers
Step-by-step explanation:
your answer is 60
hope it helps :)
try this...............
How could the statement "12 less than x" be written?
Answers
Answer:
The statment would be written as "12 - x".
Ben is now 3 times as old as his brother Jerry. In 5 years, Ben will be twice as old as Jerry will be then. Find their present ages.
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Answer:
30 I am a little confused
yaaaa heree ya goo... good luck :D
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Answer:
Honestly i dont even know
Step-by-step explanation:
PLS help ASAP thank you
Answers
Answer: they are not similar
Step-by-step explanation:
there will no be no steps
need a quick answer please
Answers
Answer:
5
Step-by-step explanation:
Bababoey
Part 1: Explain what the following variables represent and how changing each one affects the monthly payment amount: P, i, and t.
Part 2: Explain how changing each variable (P, i, and t) affects the total cost of principal and interest over the life of the loan.
Answers
Answer:
Part 1 and 2: P represents principle, or the original cost of the mortgage. i represents the annualinterest rate (r/n), and t represents time. When you change the time it affects monthlypayments because theres either more or less time to pay off the mortgage. Having a longertime to pay off means you'll have lower monthly payments. When the interest rateincreases, the monthly payment increases. This is because the higher the interest rate, themore interest you're paying. Changing the principle means you either have more or lessmoney to pay off.P2: Increasing i will increase the total cost since more interest will be charged. Increasingtime means there's more periods for interest to gather so the total cost will increase.Shortening the time will decrease the total cost because there will be less time for interestto accumulate.
What does the word Expressions mean in mathematics in your own words?
Answers
Answer:
Expression in mathematics means word problem.
Help asaaaaap please
Answers
Answer:
A. 1
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
-5x - 1 ≤ -9
Step 2: Solve for x
Add 1 to both sides: -5x ≤ -8Divide -5 on both sides: x ≥ 8/5Here we see that any value x greater than or equal to 1.6 would work as a solution.
Therefore, our answer is A. 1, as it doesn't work as a solution.
2+2 can anyone help me
Answers
Answer:
Yea sure I gotchu my dude
Step-by-step explanation:
so The answer was complicated to find but its................. (correction)
4!)
can u believe it! the people down below would understand.
Answer:
2+2=4
Step-by-step explanation:
If you have 2 cookies, and your mom turned crazy and gave you 2 more, then you have 4 in total.
Hope this helped!
Though if you mom actually did that, please report she may have gone crazy. lol
which is bigger 1 2/7 or 1 1/5
Answers
Answer:
1 2/7 is bigger
Step-by-step explanation:
. help needed please
Answers
here's the question for is you can't see.
what is the vertex of the equation below?
y=2(x-3)>2+4
1. (2,4)
2. (-3,4)
3. (-2,4)
4. (3,4)
Answers
From [tex]y=a(x-h)^2+k[/tex]
The vertex is at (h, k)
Therefore, from [tex]y=2(x-3)^2+4[/tex]
The vertex is at (3,4).
Thus, the answer is 4. (3,4)
PLZ HELP ME
look at the picture above
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b. To reflect it across the x axis you would need to change the coefficient and make it negative. In this case, it would be:
g(x)= -3(2)^x