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2. Which of the following is the difference of two squares?
49m2 + 81n?
9a? -
- 466
99 36h
O 2x2 - 6y2
Answers
Answer:
[tex]9a^2-4b^2[/tex] is the correct answer.
Step-by-step explanation:
Difference of squares can be written as a^2 - b^2. This is equal to (a - b)(a + b)
In your answers, we see, 9a^2 - 4b^2. They are subtracting which is correct. 9 and 4 can also be rooted. 9 to 3 and 4 to 2 so
[tex]9a^2-4b^2[/tex] can be written as [tex](3a-2b)(3a+2b)[/tex]
The expression that is the difference between the two squares is 9a² - 4b⁶.
The correct option is B.
What is subtraction?Mathematical operations like subtraction exist. It is employed to delete words or objects from the phrase.
To find the difference between the two squares,
let a² and b² be the two terms.
So, a² - b² results in (a - b) (a + b).
From the given choices,
9a² - 4b⁶ = (3a)² - (2b³)²
As per the formula the expression can be rewritten as,
(3a - 2b³) (3a + 2b³)
Therefore, the required expression is 9a² - 4b⁶.
To learn more about subtraction;
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Related Questions
(ANSWER ASAP) *Still Unanswered* Lines a & b represent a system of linear equations. Line a passes through the points (1,3) and (3,1). Line b passes through the point (-1,0). Which statement must be true? 1, 2, 3, or 4?
1) If line b passes through the point (-2,1) then there are infinitely many solutions to the system of equations because the slopes of the lines are the same.
2) If line b passes through the point (0,1) then there is more than one solution to the system of equations because the lines are perpendicular.
3) If line b passes through the point (1,3) then there are infinitely many solutions to the system of equations because line a also passes through the point (1,3)
4) If line b passes through the point (1,-2) then there is no solution to the system of equations because the lines are parallel.
Answers
Answer:
D: If line B passes through the point (1,-2), then there is no solution to the system of equations because the lines are parallel.
I think that is right...?
Step-by-step explanation:
Answer:
D: If line B passes through the point (1,-2), then there is no solution to the system of equations because the lines are parallel.
Step-by-step explanation:
daniela uses 1/5 cups of choclate chip for every 1/7 batch of cookies he makes. How many cups of choclate chips does he use in 1 batch of cookies?
Answers
Answer:
1 2/5 cups
Step-by-step explanation:
1/5 ÷1/7
1/5×7
7/5
1 2/5 cups
Jeff invests $1000 in an account that pays 4.25% interest compounded monthly. How much will Jeff have in his account at the end of 4 years?
$1184.95
$1014.24
$5315.29
$1181.15
Answers
Answer:
1181.15
Step-by-step explanation:
a bank is offering a simple interest of 3.2% on a saving account , if i deposit $15000, how much will the interest be in 6years? f
Answers
Answer:
$2,880
Step-by-step explanation:
interest = (principal * rate * time)/100
= (15000 * 3.2 * 6)/ 100
= 2880
plzzzzz help me brainlest
Answers
Classify the angle.
What type is it.
Answers
a small woodcarving company mailed 190 advertisements, some requiring 33 cents in postage and other requiring 55 cents in postage. if the total cost for the mailings was $75.90, how many mailings that require 33 cent stamps were sent?
Answers
Answer:
The history of postal service of the United States began with the delivery of stampless letters, whose cost was borne by the receiving person, later also encompassed pre-paid letters carried by private mail carriers and provisional post offices, and culminated in a system of universal prepayment that required all letters to bear nationally issued adhesive postage stamps.[1]
Benjamin Franklin postage stamp of 1895
In the earliest days, ship captains arriving in port with stampless mail would advertise in the local newspaper names of those having mail and for them to come collect and pay for it, if not already paid for by the sender. Postal delivery in the United States was a matter of haphazard local organization until after the Revolutionary War, when eventually a national postal system was established.[2] Stampless letters, paid for by the receiver, and private postal systems, were gradually phased out after the introduction of adhesive postage stamps, first issued by the U.S. government post office July 1, 1847, in the denominations of five and ten cents, with the use of stamps made mandatory in 1855.
The issue and use of adhesive postage stamps continued during the 19th century primarily for first class mail. Each of these stamps generally bore the face or bust of an American president or another historically important statesman. However, once the Post Office realized during the 1890s that it could increase revenues by selling stamps as "collectibles," it began issuing commemorative stamps, first in connection with important national expositions, later for the anniversaries of significant American historical events. Continued technological innovation subsequently prompted the introduction of special stamps, such as those for use with airmail, zeppelin mail, registered mail, certified mail, and so on.[citation needed] Postage due stamps were issued for some time and were pasted by the post office to letters having insufficient postage with the postage due to be paid to the postal carrier at the receiving address.
Today, stamps issued by the post office are self-adhesive, and no longer require that the stamps be "licked" to activate the glue on their back. In many cases, post office clerks now use Postal Value Indicators (PVI), which are computer labels, instead of stamps.[citation needed]
Where for a century-and-a-half or so, stamps were almost invariably denominated with their values (5 cent, 10 cent, etc.) the United States post office now sells non-denominated "forever" stamps for use on first-class and international mail.[3] These stamps are still valid even if there is a rate increase. However, for other uses, adhesive stamps with denomination indicators are still available and sold.
Answer:
2.3
Step-by-step explanation:
la medida de un angulo externo de un triangulo y la suma de las madidas de los dos angulos internos remotos son
Answers
Ratios Pic added Help plz
Answers
Answer:
24:16
skittles : M&Ms
Step-by-step explanation:
Answer:
3:2
Step-by-step explanation:
Well, the total number of pieces of candy is 40. 24 of them are skittles so the remaining 16 would be M&M's. You would write the ratio of skittles to M&M's as 24:16 and then we need to simplify and so the simplified answer is 3:2. (Haven't done these in a while so it might be wrong)
Use the following bond listing for Pacific Bell to answer the following:
A 5-column table with 1 row. Column 1 is labeled Bonds with entry PacBell 6 and StartFraction 5 Over 8 EndFraction 34. Column 2 is labeled current yield with entry 6.55. Column 3 is labeled Volume with entry 5. Column 4 is labeled Close with entry 99 and one-fourth. Column 5 is labeled net change with entry + StartFraction 1 Over 8 EndFraction.
What was the closing price of the bond? What was the dollar amount?
a. 106 5/8; $966
b. 6 5/8; $6625
c. 99 1/4; $993.45
d. 99 1/4; $992.50
Answers
Answer:
b.
$66.25
Step-by-step explanation:
just did the test
what is the surface area of this shape?
Answers
Answer:
361.88 in.²
Step-by-step explanation:
Surface area of triangular prism = 2(B.A) + PH
Where,
B.A = base area of triangular base = ½*bh = ½*8*6 = 24 in.²
P = perimeter of triangular base = 7.21 + 7.21 + 8 = 22.42 in.
H = height of the prism = 14 in.
Surface area of the prism = 2(24) + 22.42×14
= 48 + 313.88
= 361.88 in.²
Factor completely and then place the factors in the proper location on the grid.
36 x2 + 60 x + 25
Answers
Answer:
[tex](6x+5)^{2}[/tex]
Step-by-step explanation:
[tex]36x^{2}+60x+25[/tex]
Just looking at the equation, one can see that the first element ([tex]36x^{2}[/tex]) and the last element ([tex]25[/tex]) are both perfect squares. One can see that when one multiplies the number and then doubles the result, the resulting values will be the value in the middle. Therefore, it is clear that is the answer is;
[tex](6x+5)^2[/tex]
The image of the point (6, 6) under a translation is (5,2). Find the coordinates of
the image of the point (0, 2) under the same translation.
Answers
9514 1404 393
Answer:
(-1, -2)
Step-by-step explanation:
The difference between the coordinates of the image and the coordinates of the original is the same for both points.
X - (0, 2) = (5, 2) -(6, 6)
X = (5, 2) -(6, 6) +(0, 2) = (5-6+0, 2-6+2)
X = (-1, -2)
The image of the point after translation is (-1, -2).
Pick the correct compound inequality that represent "All real numbers that
are greater than -6 but less than 6"*
-6 X 36
6 sxs-6
-6
0 -6
Answers
The correct compound inequality which represents the given statement is -6 < x < 6.
What are Compound Inequalities?Compound inequalities are inequalities which are formed by combining two simple inequalities.
For example, 3 < x < 6 is a compound inequality which is a combination of x > 3 and x < 6.
Given statement is,
All real numbers that are greater than -6 but less than 6.
Let x represents the numbers satisfying the inequality.
All real numbers greater than -6 can be expressed as x > -6.
All real numbers that are less than 6 can be expressed as x < 6.
These two inequalities has to be combined.
x > -6 and x < 6
-6 < x < 6, which is the compound inequality.
Hence the compound inequality is -6 < x < 6.
Learn more about Compound Inequalities here :
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on their first day, researchers explore a part of the ocean floor that is 60 feet below sea level. This depth can be represented by the integer -60. On their secon dive, researchers explore a deeper depth.
Write an inequality that represents the possible depth, d, of the researchers' second dive.
Answers
Answer:
d < - 60
Step-by-step explanation:
Given that:
Depth, d of ocean floor on first dive = 60 feets below sea level = - 60
Depth, d explored on second dive is deeper than that of fist dive
Hence, possible depth, d, explored on second dive can be represented by the inequality ;
d < - 60
How many 1/6 pieces are there in 3/6
Answers
Answer:
there are 3 1/6 pieces
Step-by-step explanation:
since 3 x 1/6=3/6.
another explanation:
(3/6)/(1/6)=(3/6) x (6/1) since you multiply by inverse when dividing fractions. Then, (3/6) x (6/1) = 18/6, which equals 3.
What are the coordinates of the point on the directed line segment from (-10, -3)
to (-3, -3) that partitions the segment into a ratio of 3 to 4?
Answers
9514 1404 393
Answer:
(-7, -3)
Step-by-step explanation:
The point is the weighted sum of the end point coordinates. The weights are the reverse of the adjacent segment proportions.
P = (4(-10, -3) +3(-3, -3))/7 = (-40-9, -12-9)/7 = (-49, -21)/7
P = (-7, -3)
The point that partitions the segment in the desired fashion is (-7, -3).
_____
Alternate solution
The given segment can be recognized as a horizontal segment of length 7. Then the desired point is 3 units from the first end, so at (-10+3, -3) = (-7, -3).
What is the point-slope form of a line with slope 3/2 that contains the point
(-1, 2)?
O A. y+2 = (x-1)
O B. y-2 = (x-1)
O C. y-2 = }(x+1)
O D.y+2 = (x+1)
Answers
Answer:
y-2=3/2(x+1)
Step-by-step explanation:
y-y1=m(x-x1)
y-2=3/2(x-(-1))
y-2=3/2(x+1)
Which solid has a greater volume? O A. Figure A 48 B. Figure B O C. they are equal A 2 O D. need more information
Answers
9514 1404 393
Answer:
B. Figure B
Step-by-step explanation:
The figure is difficult to read. We assume the height of the pyramid is 9, and the radius of the cylinder is 1.
The pyramid volume is ...
V = 1/3Bh
V = 1/3(4²)(9) = 48 . . . cubic units
__
The cylinder volume is ...
V = πr²h
V = π(1²)(48) = 48π . . . cubic units
The cylinder has π times as much volume as the pyramid. Figure B is larger.
_____
Additional comment
If the diameter (not the radius) of the cylinder is 1 unit, then its volume is 12π cubic units and the pyramid has more volume.
What is the area of a perimeter with 12 cm?
Answers
Answer:
shape name is it square or rectangle is needed to be told
Step-by-step explanation:
if it's square then area is 9cm^2
PLEASE HELPPP with this problem THANK YOUU!!!
Answers
a basket is filled with apples. there are 10 green apples, which is 25% of the total number of apples in the basket. which equation can be used to determine x, the total number of apples in the basket?
Answers
Answer:
X=10 times 4
Step-by-step explanation: 10 =25 percent, 25 times 4 equal 100 percent, 10 times 4 is x
Y=20 when x=2 find y when x=5
Answers
A= 5 1/3
L=3 5/9
what is the width of the rectangle
Answers
Answer:
1 1/2
Step-by-step explanation:
5 1/3÷3 5/9=
16/3÷32/9=
16/3×9/32=
144/96=
1 1/2
what is the area of the triangle?
Answers
Answer:
32
Step-by-step explanation:
The area A of a triangle is given by the formula A=12bh where b is the base and h is the height of the triangle.
If yall could help that would be poggers
Answers
Eugene had $57.93 to spend when he went to Staples. He bought 4 notebooks for $7.99 each and some pens for $2.49 each. After paying for his supplies he had $18.50 left. How much did each pens cost?
Answers
Answer:$6.21
Step-by-step explanation:
57.93 - (4 X 7.99)
= $33.96
$33.96 - $18.50
= $15.46
[tex]\frac{15.46}{2.49}[/tex]
= $6.2088
=$6.21
Can someone help me with this equation.
Answers
Answer:
use photomath
Step-by-step explanation:
it's really easy just simply download it then scan your problem
Answer:
use photo math
Step-by-step explanation:
it helps a lot!
Katie works a
2 hours lunch shift. She earns $4 in tips. She earns a total of $32, including
her tips. How much does she get paid per hour? h = Katie's hourly pay
Choose the equation that matches this real word problem
1) 2h+4=32
2) 2h+32=4
3) 4h+2=32
4) 32h+2=4
Answers
Answer:
2. or 3 one ejei2iieieieo2ow9w
Answer:
1
Step-by-step explanation:
cause she works 2 hours then her hour pay plus the $4 tip and you get 32
What do two equivalent expressions ALWAYS have in common?
A: The same value
B: The same variables
C: The same constant
D: Both have a equal