Part B: The area of a rectangle is (81x2 − 4y2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work. (5 points)
Answers
The dimensions of the rectangle are 9x + 2y units and 9x - 2y units.
What is the area of the rectangle?
The area of the rectangle is the product of the length and width of a given rectangle.
The area of the rectangle = length × Width
To determine the dimensions of the rectangle, we need to factor the area expression completely. We can use the difference of squares formula to do this. The formula is:
a2 - b2 = (a + b)(a - b)
We are given that;
Area of rectangle= (81x2 − 4y2) square units.
Now,
We can identify that 81x2 and 4y2 are both perfect squares. The square roots of them are 9x and 2y respectively. So we can rewrite the area expression as:
81x2 - 4y2 = (9x)2 - (2y)2
Using the difference of squares formula, we can factor this expression as:
(9x)2 - (2y)2 = (9x + 2y)(9x - 2y)
We can check this by multiplying them and getting back the original area expression.
(9x + 2y)(9x - 2y) = 81x2 - 18xy + 18xy - 4y2 (9x + 2y)(9x - 2y) = 81x2 - 4y2
Therefore, by the given area the answer will be 9x + 2y units and 9x - 2y units.
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if the aim is to factorise:
81x²-4y²=(9x)²-(2y)²=(9x-2y)(9x+2y)
But the sides may also be and an other expression....
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Help pplssssss 3e7374743
[21+3(9)]/6+9I need help
Answers
The quotient of dividing the given fractions is 20/9.
Given that, 1 7/9=16/9 and 4/5.
From the given fractions we need to divide 16/9 by 4/5.
How to divide the fractions?
A fraction represents a part of a whole or, more generally, any number of equal parts.
The first step to dividingfractions is to find the reciprocal (reverse the numerator and denominator) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. Finally, simplify the fractions if needed.
Now, 16/9÷4/5
Change ÷ to × and reciprocate 4/5 to 5/4.
Then, 16/9÷4/5=16/9×5/4=20/9
Therefore, the quotient of the given fraction is 20/9.
To learn more about the division of fractions visit:
brainly.com/question/17205173.
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Answer:
20/9
Step-by-step explanation:
16/9 * 5/4
4/9 * 5
20/9
Answers
A function assigns the values. The temperature that will model most accurately predict the time spent cooling will be 300.
What is a Function?
A function assigns the value of each element of one set to the other specific element of another set.
For the given function , the value of t which will lie within the given function range will be the value function that will model most accurately predict the time spent on cooling. Therefore, let's substitute the values and check,
A.) t = 0
As the value of t will lie at infinite, therefore, this will not give an accurate prediction of the model.
B.) f(t) = 100
When the value of the function will be 100 then the value of t will be 61.6, therefore, this can not be the most accurate prediction.
C.) f(t) =300
When the value of the function will be 300 then the value of t will be 7.5, therefore, this is the most accurate prediction.
D) f(t) = 400
When the value of the function will be 400 then the value of t will be -6.724, therefore, this can not be the most accurate prediction.
Thus, the temperature that will model most accurately predict the time spent cooling will be 300.
Learn more about Function:
Answer:
c. 300 on edge
Step-by-step explanation:
just took the test
for four bags of popcorn and two drinks.
Write a system of equations that can be used to find the price of one bag of popcorn and the price
of one drink.
Using these equations, determine and state the price of a bag of popcorn and the price of a drink,
to the nearest cent.
Answers
popcorn = x and
drinks = y
Jacob: 2x + 3y = 18.25
Zachary: 4x + 2y = 27.50
ok now you have to use these 2 equations to get the answer
4x + 2y = 27.50 ---> 2y = 27.50 - 4x ---> y = 13.75 - 2x
2x + 3y = 18.25
2x + 3(13.75-2x) = 18.25
2x + 41.25 - 6x = 18.25
-4x + 41.25 = 18.25
-4x = -23
x = 5.75 One bag of popcorn is $5.75
4x + 2y = 27.50
4(5.75) + 2y = 27.50
23 + 2y = 27.50
2y = 4.50
y = 2.25 One drink is $2.25
Answer:
Popcorn costs: $5.75, and drink costs: $2.25.
Step-by-step explanation:
Answers
There will be 12 teams can be formed if the group of 32 players forms 4 volleyball teams.
What is a fraction?
Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
We have:
A group of 32 players forms 4 volleyball teams.
Total number of players = 96×4
= 384
Number of teams = 384/32
= 12
Thus, there will be 12 teams can be formed if the group of 32 players forms 4 volleyball teams.
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4*3=12
12 équipes volleyball if there are 96 players.
A. an edge lying in its plane.
B. an axis lying in its plane.
C. a point lying in its plane.
D. an axis lying in its opposite plane.
Answers
Answer: c - a point lying on its plane
Step-by-step explanation:
i don’t know why i just know it’s right unless it’s not
Answers
9+16x1x16-8
9+256-8
265-8
257
Answer:2
Step-by-step explanation:
i got it wrong