Answer:
The pool dimensions are thus (9x - 12y)(9x + 12y)
Step-by-step explanation:
(81x^2 - 144y^2) is the difference of two squares. Note that you must indicate exponentiation with " ^ ."
Factoring the difference of two squares: a^2 - b^2 = (a - b)(a + b)
Thus, (81x^2 - 144y^2) =
The pool dimensions are thus (9x - 12y)(9x + 12y)
Area of rectangle is Length times of Breadth. The pool dimensions are (9x - 12y) and (9x + 12y) when area of rectangular swimming pool is (81x2 - 144y2)
area of Mr. Tan's rectangular swimming pool is (81x^2 - 144y^2), we need to find the area of rectangle.
What is area of rectangle?Area of rectangle= Length*Breadth
The given area of Mr. Tan's rectangular swimming pool is (81x^2 - 144y^2),
(81x^2 - 144y^2)=Length * Breadth
We know that (a+b)(a-b)=a^2-b^2
So,
The factors of (9x^2-12y^2) is (9x+12y) and (9x-12y)
(9x^2-12y^2)=(9x+12y)(9x-12y)
=Length * Breadth
where length and breadth are two dimensions of rectangle
Therefore (9x+12y) and (9x-12y) are two dimensions of rectangle.
To learn more on area of rectangle click here:https://brainly.com/question/20693059
#SPJ2
someone please answer asap
Answer:
alternate exterior angles they are facing diagonally from each other and are on the outside of their respective angles making them alternate exterior
Answer:
Corresponding angles, i.e they are in the congruent matching sides
YOOO I NEED BIG HELP CAUSE IM DUMB AND QUICK PLEASEEEEEEEEE
Answer:
I and iii
Step-by-step explanation:
because I know yup yuppy yup
Answer:
i, ii and iii
Step-by-step explanation:
Write a linear equation given the graph
Answer: Y= 1/-1x+4
Step-by-step explanation: Y equals 1 over negative 1 x plus 4
Luis purchased a laptop computer that was marked down by
[tex] \frac{2}{5} [/tex]
of the original price. What fractional part of the original price did Luis pay?
Answer:
Luis paid 3/5 of the original price
Step-by-step explanation:
Luis purchased a laptop with a fractional discount of 2/5 of the original price.
When dealing with fractional parts of a whole, the sum of all parts must equal 1. With this in mind, we can say:
Paid price + Discount price = Original price
Or, equivalently:
paid fraction + discount fraction = 1
From the above relation, it follows that:
paid fraction = 1 - discount fraction
[tex]\displaystyle \text{paid fraction }=1-\frac{2}{5}[/tex]
[tex]\displaystyle \text{paid fraction }=\frac{5-2}{5}[/tex]
[tex]\displaystyle \text{paid fraction }=\frac{3}{5}[/tex]
Luis paid 3/5 of the original price
Please find the rise over run and draw the line i’m so confused right now.
Answer:
4/3
Step-by-step explanation:
rise is how many point up it is to the next coordinates, and run is how many points over (think of rising up and running over). rise/run makes the slope.
hopefully this helps! plz consider brainliest! :)
p.s. i put dashes to help count how many points it is from point A to point B
PLEASE HELP ITS DUE TODAY!
question: Zayn has 5 more than three times the number of stickers that cleo has. Cleo has 25 fewer stickers than zayn. WRITE THE SYSTEMS OF EQUATION TO REPRESENT THIS SITUATION. explain what the solution means
Answer:
Solutions:
Z = 35
C = 10
Systems of Equations:
Z = 3C + 5
C = Z - 25
Step-by-step explanation:
Z will be for Zayn and C will be for Cleo.
Z = 3C + 5
C = Z - 25
These are the systems of equations. To solve, plug one of the equations into their respected variable.
Z = 3(Z - 25) + 5
Z = 3Z - 20
20 = 2Z
Z = 10
C = 3C + 5 - 25
-2C = -20
C = 10
This proves that these equations are correct. To find the final solution, plug 10 into Z to find Zayn's amount , then plug the amount that was for Zayn into C to find Cleo's amount.
Z = 3(10) + 5
Z = 35
C = 35 - 25
C = 10
0.02 divided by 924.3
Answer:
46215
Step-by-step explanation:
You have $25 to buy 6 candy bars. Write an inequality that represents the prices you can pay per candy bar.
Answer:
25 divided by 6
Step-by-step explanation:
If (x^2 2 x 1) is singular and (x 2x 3x 4x) is non-singular, find the value of x.
I assume you're talking about two square matrices,
[tex]A=\begin{bmatrix}x^2&2\\x&1\end{bmatrix}[/tex]
and
[tex]B=\begin{bmatrix}x&2x\\3x&4x\end{bmatrix}[/tex]
If A is singular, then its determinant is 0:
[tex]\det A=x^2-2x=x(x-2)=0\implies x=0\text{ or }x=2[/tex]
B is not singular, so its determinant is not 0:
[tex]\det B=4x^2-6x^2=-2x^2\neq0[/tex]
This tells you x ≠ 0, so x = 2.
describe the error in finding the product (big ideas math)
Answer:
d
Step-by-step explanation:
you have to foil in situations like these, getting you
ksquared +4k+4k+16
2(k)(4) is the same thing as 4k+4k, which is what is missing from the answer
will give brainliest
Answer:
first quadrant
Step-by-step explanation:
1 Find the median of the following.
a. 3, 6, 7, 4, 5, 9, 8, 9,7
Answer:
6.4 repeating
Step-by-step explanation:
3 + 6 + 7 + 4 + 5 + 9 + 8 + 9 + 7 = 58
58 ÷ 9 = 6.4444 (and so on)
If A CB, then
A.A U B = B
B.A 0 B = 0
C.A0 B = B
Answer:
AUB = B
Step-by-step explanation:
If A ⊂ B then every element of A is also in B.
14.
Which of the following patterns shows infinite sequence?
A) 6, 12, 18, 24, 30
C) First 20 whole numbers
B) English Alphabets
D) 100, 50, 25, 12.5....
Answer: D
The fourth option (D) has an elipsis (...).
This means there is more to the sequence.
So, the answer to the question is option D.
Hope this helps!
Jaunice is redecorating her room. She wants to paint a design on a rectangular section of her wall That is at least 76.5 ft.². The height of the design will be 8.5 feet. What is the minimum length of the design Juanice will paint on the wall
Answer: 9 feet
Step-by-step explanation:
The minimum length of the design Jaunice will paint on the wall is 9 feet.
It is required to find the the minimum length.
What is rectangle?A rectangle is a type of quadrilateral, whose opposite sides are equal and parallel. It is a four-sided polygon that has four angles, equal to 90 degrees. A rectangle is a two-dimensional shape
Given:
Area of rectangular section of her wall =76.5 ft.²
Height of the design = 8.5 feet.
We know that
Area of rectangle=length*breadth
Area = l*h
76.5 =8.5*l
l=76.5/8.5
l= 9 feet.
Therefore, the minimum length of the design Jaunice will paint on the wall is 9 feet.
Learn more about rectangle here:
brainly.com/question/18581708
#SPJ6
True or False. If false, explain why it's false.
“Equivalent fractions are ones that use the same numbers, like 1/2 and 1/2.”
Answer:
False
Step-by-step explanation:
Equivalent fractions to 1/2 would be 2/4 5/10 and 50/100.
plz help me i need this in simplest form or in a decimal
Answer:
1/1024 or .0009765625
Step-by-step explanation:
1/4 to the third power is 1/64
1/4 to the second power is 1/16
Then multiply 1/64 and 1/16 and get 1/1024 or .0009765625
Hope this helps dude
Answer:
9.765625x^-4
Step-by-step explanation:
1. Convert 1/4 into a decimal Ans:0.25
2. Times 0.25 by the third power (0.25^3) Ans: 1/64 or 0.015625
3. Convert 1/4 into a decimal Ans: 0.25
4. Times 0.25 by the second power (0.25^2) Ans: 1/16 or 0.0625
5. Finally multiply the two decimals (0.015625x0.0625) Ans: 1/1024 or 9.765625x10^-4
One factory needs 6 buttons to make 1 witch costume. Fill in the rate table to determine how many witch costumes the factory can make with 18, 42, 66, or 84 buttons
Answer:
The factory can make 3 witch costume from 18 buttons
The factory can make 7 witch costume from 42 buttons
The factory can make 11 witch costume from 66 buttons
The factory can make 14 witch costume from 84 buttons
Step-by-step explanation:
Let us use the ratio method to complete the table
∵ A factory needs 6 buttons to make 1 witch costume
∵ There are 18 buttons
→ Find how many witch costume can make from them
→ Buttons → costume
→ 6 → 1
→ 18 → x
→ By using cross multiplication
∵ x × 6 = 18 × 1
∴ 6x = 18
→ Divide both sides by 6
∴ x = 3
∴ The factory can make 3 witch costume from 18 buttons
Use the same way to find the rest
∵ There are 42 buttons
→ Buttons → costume
→ 6 → 1
→ 42 → x
→ By using cross multiplication
∵ x × 6 = 42 × 1
∴ 6x = 42
→ Divide both sides by 6
∴ x = 7
∴ The factory can make 7 witch costume from 42 buttons
∵ There are 66 buttons
→ Buttons → costume
→ 6 → 1
→ 66 → x
→ By using cross multiplication
∵ x × 6 = 66 × 1
∴ 6x = 66
→ Divide both sides by 6
∴ x = 11
∴ The factory can make 11 witch costume from 66 buttons
∵ There are 84 buttons
→ Buttons → costume
→ 6 → 1
→ 84 → x
→ By using cross multiplication
∵ x × 6 = 84 × 1
∴ 6x = 84
→ Divide both sides by 6
∴ x = 14
∴ The factory can make 14 witch costume from 84 buttons
Sara has 2 paintings in her portfolio and paints 3 more each week. Kevin
has 12 paintings in his portfolio and paints 2 more each week. After how
many weeks will Sara and Kevin have the same number of paintings? *
12 weeks
O 10 weeks
O 16 weeks
O 14 weeks
Answer:
If Sara has 2 painting already and paints 3 more each week, and Kevin has 12 paintings already and paints 2 more each week, we go down the list of answers and multiply them by the number of paintings painted each week. So first is 12x2=24 24+12=36 then 12x3=36 36+2=38 now we do 10x2=20 20+12=32 10x3=30 30+2=32 so your answer would be 10 weeks
Step-by-step explanation:
12 1/3 square feet in 1/5 of an hour. How many square feet can she paint in one hour
Answer:
30 5/6 square feet
Step-by-step explanation:
Answer:
30 5/6 square feet
Step-by-step explanation:
First you need to know how much she can paint in 1/5 hour. So you're going to be dividing mixed numbers. To do that you need to make 12 1/3 a fraction:
12*3=36
36+1=37
12 1/3= 37/3
Divide by 2. With fractions you flip the second and multiply
37/3 ÷ 2/1 = 37/3 *1/2
Multiply top by top bottom by bottom
37*1=37
3*2=6
37/6 is what she can paint in 1/5 hour
Now you need to multiply that by 5 (5/5= 1 which means a full hour)
So we use 5/1 to multiply by 5 in fraction form.
37/6 * 5/1
37*5=185
6*1=6
Now simplify (turn it back into a mixed number)
185/6= 185÷6
30 with a remainder of 5
Consider the linear function that is represented by the equation y = 2 x + 2 and the linear function that is represented by the graph below.
On a coordinate plane, a line goes through points (negative 1, negative 1) and (0, 1).
Which statement is correct regarding their slopes and y-intercepts?
The function that is represented by the equation has a steeper slope and a greater y-intercept.
The function that is represented by the equation has a steeper slope, and the function that is represented by the graph has a greater y-intercept.
The function that is represented by the graph has a steeper slope, and the function that is represented by the equation has a greater y-intercept.
The function that is represented by the graph has a steeper slope and a greater y-intercept.
Answer:I believe the answer is C: The function that is represented by the graph has a steeper slope, and the function that is represented by the equation has a greater y-intercept.
Step-by-step explanation: The Y intercept of the equation is 2 and when I put the 2 graphs side by side the graphs slope looks steeper
the graph has a steeper slope
PLEASE HELP ASAP!!!!!
Answer:
9<✓88<10
Step-by-step explanation:
✓88 = 9.38083
Suzie, Georgia and Bernadette do a project together. Suzie does 5/18 of the project, Georgia does 2/9 of the project and Bernadette does 1/2 of the project
How much of the project should still be completed? And who do you think should do the last section of the project?
Answer:
the project has been completed.
Step-by-step explanation:
5/18 +4/18 + 9/18 = 18/18 or 1
so therefore no one has to complete the project, as it has already been completed
Explain while solving absolute value
inequalities, when should "and" be used and
when should "or" be used?
Answer:
Step-by-step explanation:
I have "and" but not "or"
"and" is when your talking about the decimal point for example:
1.2
one, and, two tenths
Please help me with this.
Answer:
v=8
Step-by-step explanation:
12=12+v−8/2
12=12+1/2
v+−4(Distribute)
12=(1/2v)+(12+−4)(Combine Like Terms)
12=1/2v+8
Step 2: Flip the equation.
1/2v+8=12
Step 3: Subtract 8 from both sides.
1/2v+8−8=12−8
Step 4: Multiply both sides by 2.
2*(1/2v)=(2)*(4)
v=8
A square garden has an area of 242 square feet. What is the approximate length of each side of the garden?
60.5 feet
121 feet
15.6 feet
16.5 feet
1. El siguiente conjunto de datos corresponde al tiempo de duración de un estímulo fisioterapéutico en un grupo de estudiantes de la UEF-DAB: 1,8; 1,6; 1,4; 1,7; 1,9; 1,4; 2,1; 2,1; 2,9; 1,4; 2,2; 2,8; 2,3; 1,4; 2,2; 2,2; 1,6; 2,1; 2,0; 1,8. Elabore una tabla simple de frecuencias, luego determine la media aritmética, mediana, moda, varianza y desviación estándar respectiva.
Can you translate in english please for me to answer???
A motorcycle traveled 250 kilometers in five hours. What was its average speed in km/hr?
Answer:
50mph
Step-by-step explanation:
250km = 5hrs
250km/5hrs = 50km
50km = 1hr
Victor borrowed $21 .50 from his mother to go to a theater. A week later, he paid her $21 .50 back. How much does he still owe her?
$ 0.00
Step-by-step explanation:
$ 21.50 - $21.50 = 0.00
Answer:
Nothing
Step-by-step explanation:
21.50 - 21.50 = 0
Are you sure you put this question right? If so, good luck! <3
James has a jar full of just pennies and nickels. The ratio of pennies to nickels is 8 to 3. Which of the following is the ratio of nickels to the number of all the coins?
(1) 3 to 11 (3) 3 to 8
(2) 5 to 8 (4) 8 to 11
Answer:
(1) 3 to 11
Step-by-step explanation:
Ratio of pennies to nickels is 8 to 3.
Pennies : nickels = 8 : 3
Pennies = 8
Nickels = 3
Total coins = pennies + nickels
= 8 + 3
= 11
Which of the following is the ratio of nickels to the number of all the coins?
Nickels : Total coins = 3 : 11
Or
= 3 / 11
Or
3 to 11
The correct answer is (1) 3 to 11