Answer:
[tex](3+xz)(-3+xz)[/tex]
[tex](y^2-xy)(y^2+xy)[/tex]
Step-by-step explanation:
The Difference of Squares
Any difference of two squared monomial results in a factored form like shown below:
[tex]a^2-b^2=(a-b)(a+b)[/tex]
Similarly:
[tex](a-b)(a+b)=a^2-b^2[/tex]
For a product of binomials to be a difference of squares, they must be in the described form.
------------------------
(x-y)(y-x) can be rewritten as:
-(x-y)(x-y)
Since both binomials are identicals, the product will not result in a difference of squares.
-----------------------
(6-y)(6-Y)
Since both binomials are identicals, the product will not result in a difference of squares.
-----------------------
(3+xz)(-3+xz) can be rewritten as:
(xz+3)(xz-3). This product is a sum multiplied by a difference of the very same terms, thus the result is a difference of squares:
[tex](3+xz)(-3+xz)=(xz)^2-9[/tex]
-----------------------
[tex](y^2-xy)(y^2+xy)[/tex]. This product is a sum multiplied by a difference of the very same terms, thus the result is a difference of squares:
[tex](y^2-xy)(y^2+xy)=y^4-(xy)^2[/tex]
-----------------------
Summarizing:
(3+xz)(-3+xz)
[tex](y^2-xy)(y^2+xy)[/tex]
If triangle HBN ~ triangle LYR, find the value of x.
Answer:
x = 13
Step-by-step explanation:
BH / YL = HN / LR
28 / 21 = 3x-7 / x+11
cross-multiply:
4x + 44 = 9x - 21
-5x = -65
x = 13
Answer:13
Step-by-step explanation:
how would you describe the two lines ? 4y=-5x+12 y=4/5x-8 A) parallel
B)perpendicular
C)Same Line
D)Different lines but not perpendicular or parallel
Is the answer to -8/-8 positive or negative?
Answer: positive
Step-by-step explanation:
A negative divided by another negative is always positive. Same rule applies to multiplication. Double negatives equal positives
How much of a circle does a 100-degree angle turn through?
1
100
180
50
c
360
100
360
Which polynomial function could be represented by the graph below?
On a coordinate plane, a parabola opens up. It goes through (2, 0), has a vertex at (3, negative 3), and goes through (4, 0).
Answer:
f(x) = 3(x - 3)^2 - 3Step-by-step explanation:
Let the base function be
f(x) = ax^2It has the vertex at (3, -3), so it is translated 3 units right and 3 units down:
f(x) = a(x - 3)^2 - 3It has zero's at (2, 0) and (4, 0)
Substitute and solve for a:
a(x - 3)^2 - 3 = 0a(2 - 3)^2 = 3a = 3or
a(4 - 3)^2 - 3 = 0a = 3So the function is:
f(x) = 3(x - 3)^2 - 3See the attached
Answer:
f(x) = 3x2 – 18x + 24
Step-by-step explanation:
just took the test
find the area cirlcle if the circle has a radius of 11 centimeters.
Answer:
380.133
Step-by-step explanation:
A = πr²
Hope this helps!
Pls 5 stars <3
a - 2 + 3 = -2
Please answer with solving steps!
Answer: a=−3
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
a−2+3=−2
a+−2+3=−2
(a)+(−2+3)=−2(Combine Like Terms)
a+1=−2
a+1=−2
Step 2: Subtract 1 from both sides.
a+1−1=−2−1
a=−3
Answer:
a=-1
Step-by-step explanation:
move -2 and 3 to the right side to have the variable by itself and then just add them together.
a = -2+3-2
a= -4+3
a= -1
If 2 pounds of grapes cost 6 dollars. How many ponds does 1 dollar get?
Answer:
I have no idea I think 3 sorry of wrong
Which of the following are equivalent to 9x - 27?
Select ALL that apply.
9(x - 3)
3(3x - 9)
x(9x - 3)
3(3x - 7)
3(x - 9)
Answer:
1) 9(x - 3) = 9x - 27. So, 1) applies.
2) 3(3x - 9) = 9x - 27. So, 2) applies.
3) x(9x - 3) = 9[tex]x^{2}[/tex] - 3x. So, 3) dosn't apply.
4) 3(3x - 7) = 9x - 21. S0, 4) dosn't apply.
5) 3(x - 9) = 3x - 27. So, 5) also dosn't apply.
Step-by-step explanation:
1) 9(x - 3) = 9x - 27. So, 1) applies.
2) 3(3x - 9) = 9x - 27. So, 2) applies.
3) x(9x - 3) = 9[tex]x^{2}[/tex] - 3x. So, 3) dosn't apply.
4) 3(3x - 7) = 9x - 21. S0, 4) dosn't apply.
5) 3(x - 9) = 3x - 27. So, 5) also dosn't apply.
The expressions that are equivalent to 9x - 27 are:
9(x - 3)
3(3x - 9)
To determine which expressions are equivalent to 9x - 27, let's simplify each of the given options:
9(x - 3):
Expanding the expression, we get 9x - 27.
This expression is equivalent to 9x - 27.
3(3x - 9):
Expanding the expression, we get 9x - 27.
This expression is equivalent to 9x - 27.
x(9x - 3):
Expanding the expression, we get 9x² - 3x.
This expression is NOT equivalent to 9x - 27.
3(3x - 7):
Expanding the expression, we get 9x - 21.
This expression is NOT equivalent to 9x - 27.
3(x - 9):
Expanding the expression, we get 3x - 27.
This expression is NOT equivalent to 9x - 27.
Therefore, the expressions that are equivalent to 9x - 27 are:
9(x - 3)
3(3x - 9)
So, the correct options are 1 and 2.
Learn more about expressions click;
https://brainly.com/question/28170201
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Answer the question in the picture.
Answer:
4
Step-by-step explanation:
have a nice day
help please
solve for x
Answer: x= 47 (If that says 3x+2)(the picture is a little blurry)
Step-by-step explanation:
Linear pairs of angles sum to 180.
37+(3x+2) =180
Combine like terms
39+ 3x = 180
Subtract 39 from both sides
3x = 141
Divide both sides by 3
x= 47
Use the quadratic formula to solve 2x2 + 2x - 12?
Answer:
2,-3
Step-by-step explanation:
i did the math lol- trust me
Answer:
yellow: 2 & -3
Step-by-step explanation:
Which one is it ? (You cannot click it ) (22 points)!
Answer:
the answer is 0.01 your welcome
what is this
917 mL = _____ L
Answer:
0.917
Step-by-step explanation:
1ml=0.001L
Answer:
0.917 L
Step-by-step explanation:
Keep in mind that 1 L = 1000ml
since the number in ml does not go past 1000 it means that there is not even 1 liter. So your answer will be a decimal.
917 mL = 0.917 L
evalie is making snak bags for her class she can fill 5/8 snak bags 1 2/3 cups of pretezles how many cups of preteele did she need
Answer:
5/12 cups
Step-by-step explanation:
1 bag = 2/3 cup
5/8 bag = 2/3 × 5/8
= 10/24 = 5/12
Please help me confirm my answer, I got C
Answer:
The correct answer is C
Step-by-step explanation:
simplify the following expression by combining like terms. select the most simplified expression; 2 W + 5 W - 6 + 4w
Answer:
7 W + 4w - 6
Step-by-step explanation:
How many terms are in the expression 2a - c + 7d+ 15
Answer:
8c
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
I just want to tell you what a term is because your going to really need it when you go into middle school. So a term is where there is a number or a a number with a variable with it or a variable by itself. For example if there is 4x + 6m + 3 + X you would have 4 terms because you have 4 numbers along with variables and a variable by itself and with some numbers which are Co -Efficient. Co-Efficient is when a number is with a variable the number along with the variable is called a Co-Efficient. Both of them together is called a term so now you know :) The whole equation is called an expression if a a number is by itself like 4 + 3m the 4 would be considered as a constant because its just a normal number standing by itself.
Slope of -7 and y -intercept of 1
can someone please help
Answer:
x=3, y= - 2
Step-by-step explanation:
4x + 3y = 6
x-3y= 9
x=9+3y
4.(9+3y)+3y=6
36+12y+3y=6
15y = - 30
y = - 2
=> x= 9+3y
x= 9+ 3.(- 2)
x= 3
On a hot day, a soccer team drank an
entire 50 gallon cooler of water, and then
drank half as much again.
How much water did they drink?
I’ll give u brainliest if u show how you got the answer :D
Answer:
75 gallons
Step-by-step explanation:
50+(50/2)=
50+25= 75
(1/2 of 50 is 25)
Answer:
75 gallons
Step-by-step explanation:
Soooooo
they drank 50 gallons and then they drank half as much as they just drank
50/2 =25 -to get half of what they just drank
50 + 25 =75 - the original 50 gallons + half of that.
triangle congruence what is the answer
Answer:
true (SSS)
Step-by-step explanation:
If two triangles have the same shape and lenghts, then they are congruent. In this instance they are congruent because of three sides. Meaning SSS congruence
Which of the follow is true about it
______________________________
1.) Solve [tex]\bold{\sqrt{73}}[/tex]:[tex]\sqrt{73}[/tex] ≈ [tex]8.544003745[/tex]
So your answer is [tex]\bold{On~the~left~of~9}[/tex].
______________________________
What is the length of the hypotenuse of right ΔUVW shown?
Question 8 options:
A)
42
B)
41
C)
D)
99
Answer:
B - 41
Step-by-step explanation:
A squared + B squared = C squared
40 squared + 9 squared = X squared
the answer is 41
Step-by-step explanation:
Step-by-step explanation:
A squared + B squared = C squared
40 squared + 9 squared = X squared
What kind of sequence is this? –164, –149, –134, –119
Answer:
Least to greatest?????
Jenny bought 7 pounds of strawberries.
They were on sale for
$1.12 for every 2 pounds.
How much did Jenny pay?
Well every 2 pounds is 1.12 so if we take 1.12/2 we get 0.56 and then we have 1.12x3 for the 6 and that is 3.36 so if we add 0.56+3.36 we get 3.92 I HOPEE THIS IS RIGHT DONT COME AT ME IF WRONG
1.What is the decimal multiplier for 20%?????
Answer:
1.2
it is what its is
if it was 32 percent it would be 1.32
Answer:
1.2
Step by step explanation:
if it was 32 percent it would be 1.32
Sally puts $2,500 in a bank account. She takes it out 10 years later and with interest, now has $4,100. What is the percent change?
Answer:
64%
Step-by-step explanation:
Find the percent change by finding the difference between the amounts, then dividing it by the original amount
(4,100 - 2,500) / 2,500
1600 / 2500
= 0.64
So, the percent change is 64%
14. Shawn usually sells umbrellas for $20. On rainy days, he sells them for
30% more. What is the cost on a rainy day of buying a new umbrella? *
$14
$26
O $6
O $30
Answer:
$26
Step-by-step explanation:
what is
a) 39.637, 44.3421, 34.1546,
44.351, 34.248 in increasing order
Answer:
34.1546, 34.248, 39.637, 44.3421, 44.351
Step-by-step explanation: