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]
The table, graph, and register receipt show the cost of pears at each of three different stores. For each store, the relationship between the number of pounds of pears and the cost is a direct proportion. What is the order from the least to the greatest cost per pound of pears? A Store A, Store B, Store C B Store B, Store A, Store C C Store C, Store A, Store B D Store C, Store B, Store A
Answer:
hM
Step-by-step explanation:
yeah, i need help solving this and i need help quick please.
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:
Factoring.
The answer is supposed to look like this.
EXAMPLE:
5x(6x+2)(6x-2)
Answer:
3(5x+3)(5x-3)
Step-by-step explanation:
75x^2-27=3(25x^2-9)=3(5x+3)(5x-3)
Find the slope of the line that passes through the following points: E(1.4). F(5,-2)
Answer:
-1.5
Step-by-step explanation:
m=-6/4
m=-3/2
-1.5
Answer:
-3/2
Step-by-step explanation:
[4-(-2)] / [1-5] = 6 / -4 = -3/2
Find the slope of the line through the given points.
(-2,7) and (2,-5)
Answer:
y = -3x + 1
Step-by-step explanation:
hope this is right!
HELP DUE IN 1 HOUR !!
Answer:
-7/12
Step-by-step explanation:
Answer:
-7/12
Step-by-step explanation:
-1/3 - 1/4 becomes -4/12 - 3/12
this is because 12 is the common denominator for both fractions. then subtract the numerators because when you add or subtract fractions, the denominator stays the same.
-4 - 3 = -7
the answer is
-7/12
the answer cannot be simplified so it remains the same
I need help 25 points
Answer:
|6-8|=2
Step-by-step explanation:
You see, absolute value makes any number positive. It doesn't matter if the number was already positive or negative. |x|>=0. If that makes sense. So, 6-8 would be -2. But -2 in absolute value would be 2.
Solve the equations below by SHOWING YOUR WORK. This includes how you will isolate the variable and keep the equation balanced to get your answer. You must show your work and present your answer for credit. Just an answer will result in no credit. If you are not sure what this means, take a quick look at the videos or recorded lesson. A. B. X - 3.5 = 9.1
Answer:
[tex]X = 12.6[/tex]
Step-by-step explanation:
Given
[tex]X - 3.5 = 9.1[/tex]
Required
Solve for X
Add 3.5 to both sides
[tex]X - 3.5 +3.5 = 9.1 + 3.5[/tex]
[tex]X = 9.1 + 3.5[/tex]
[tex]X = 12.6[/tex]
A jelly bean factory packaged 913 special ordered bags last Tuesday. The shift manager randomly picked seven bags to count the number of jelly beans.
8, 6, 11, 15, 6, 11, 6
If the sample was representative of all the bags packaged on Tuesday, what was the mode of the number of jelly beans of all the bags?
A. 6
B. 15
C. 8
D. 11
Answer:
I think the answer is 1/5
Step-by-step explanation:
Add up the total number of jellybeans, 20 + 45 + 30 + 5 = 100.
Divide the number of watermelon jellybeans by the total: 20/100 and reduce the fraction to 1/5.
Hope this help you! :)
The six sides of a number cube are labled 1,2,3,4,5,6, . You flip a coin and roll the number cube what is the probability that you land on tails and get a number less than 3.
Answer:
1/6 or 16.67%
Step-by-step explanation:
The probablility for the coin is 50% and the probablility for the cube is 2/6 or 1/3 aka 33.3%. You need to multiply these together to figure out the percentage so 1/2 time 1/3 is 1/6.
this will help me a lot if you anwser this
how to find the circumference of a circle when given the radius
Answer:
C=2πr
Step-by-step explanation:
That is the formula to find the circumference C Equals 2 times 3.14 times radius
Answer: 2πr
Step-by-step explanation:
r=radius
π=pi
times by 2
you can use goo.gle and put the radius in and get the amount
Just type "circumference of a circle"
A number m is no less than –1 or less than or equal to −5.
Answer:
-1 < m ≤ - 5
Step-by-step explanation:
Your expression includes: m, -1, -5, >, ≤
m is the value being compared so it will be in the middle.
# sign m sign #
m is no less than -1: no less than means it is greater than -1, but does not include -1. Therefore, our sign is >
m > -1
m is less than or equal to -5. This means we use ≤ because it can equal -5.
m ≤ -5
Now combine the two expressions
m > -1 – This can also be written as -1 < m.
m ≤ -5
-1 < m ≤ - 5
Reasoning Explain why either a or b must be 0 if ab = 0, but neither a nor b
must be 4 when ab = 4.
In the given figure, AC = BC, ∠DCA = ∠ECB and ∠DBC = ∠EAC. Prove that ΔDBC ≌ ΔEAC and DC = EC
Step-by-step explanation:
Here is your answer in the photo
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There are 60 bottles of juice in the grocery store of these 24 are apple what percent of the bottles are apple
Answer:
%2.5
Step-by-step explanation:
Please help!! Tysm!!!!!!!!!!
i need help plsss. im stuck
Answer:
h = 6 cm
Step-by-step explanation:
Volume of cylinder = 54 π cm³
πr²h = 54π
π * 3 * 3 * h = 54π
[tex]h = \frac{54 \pi }{\pi *3*3}\\\\h= 6[/tex]
Need help plzzzzzzxz
How is the quotient 5 to the 8th power expressed as a power of 5
Answer:
5^4
Step-by-step explanation:
When dividing exponents with the same base, you subtract their exponents.
8-4=4
This means that 5^8 / 5^4 is equal to:
5^4
Please answer the question in the image
HURRYYYYY
When substituting 2x - 4 for y in the
second equation, what will the new
equation look like?
y = mx + b
y = 2x - 4
y = -3x + 1
2x - 4 = -3x + 1
Answer:
y=2x-4
Step-by-step explanation:
sorry if I get this wrong I'm slowly understanding slope intercept form
I really do not get this at all and need help please
Please help! 15 pts!
Ivanna, Andrea, Tabitha and Mary are sisters. Their father tells them that they will not be allowed to travel to Hawaii by themselves until their average age is 21. Right now, their ages are 19, 15, 14, and 12. In how many years will they be able to go to Hawaii?
Answer:
6 years
their average age now is 15
so, in six years the average age will be 21
Step-by-step explanation:
If im wrong you have my regrets
Find the product.
(x-3)(x+5)
Answer:
x2+5x-3x-15=x2+2x-15
Step-by-step explanation:
(x)(x)=x2,(x)(5)=5x
(-3)(x)=-3x,(-3)(5)=-15
Answer: X^2 + 8x -15
Step-by-step explanation:
Use the foil method.
First, outer, inner, last
Multiply the first numbers inside each parenthesis. X*X = x^2
Next multiply the outer number in each parenthesis. X*5 = 5x
Then multiply the inner numbers of the parenthesis. -3*x= 3x
Finally multiply the last numbers in the parenthesis. -3*5 = -15
Now add all of these together
X^2 + 5x + 3x + -15
Combine like terms
X^2 + 8x -15
X can be solved from here, however it does not seem that you are asked to solve for x
A trapezoid with two right angles and two 14-inch sides is a unique quadrilateral.
True or False ?
Answer:
No
Step-by-step explanation:
we dont have 3 side measurements and two known diagonals
Find the solution to the following system of linear
equations by using the substitution method.
y = 4x -4
X+ y = 11
Step-by-step explanation:
[tex]y = 4x - 4 \\ x + y = 11 \\ x + 4x - 4 = 11 \\ 5x = 15 \\ x = 3 \\ y = 4 \times 3 - 4 \\ y = 8[/tex]
What are the coordinates of the point in the directed line segment from (-2,-8) to (5,-1) that partitions the segment into the ratio of 1 to 6?
Answer:
The coordinates of the point P in the directed line segment from (-2,-8) to (5,-1) that partitions the segment into the ratio of 1 to 6 will be:
(x, y) = (-1, -7)Step-by-step explanation:
Let P be the point.
As the point P is in the directed line segment from (-2,-8) to (5,-1) into the ratio of 1 to 6
i.e.
(x₁, y₁) = (-2,-8)
(x₂, y₂) = (5,-1)
Rise = y₂ - y₁ = -1 - (-8) = -1 + 8 = 7
Run = x₂ - x₁ = 5 - (-2) = 5 + 2 = 7
1 : 6 ratio means the point P lies at
[tex]\frac{1}{6+1}=\frac{1}{7}=14\%[/tex]
Thus,
rise for P = 7 × 14% = 1
run for P = 7 × 14% = 1
Thus, coordinates of P will be:
x = -2 + 1 = -1
y = -8 + 1 = -7
Thus,
The coordinates of the point P in the directed line segment from (-2,-8) to (5,-1) that partitions the segment into the ratio of 1 to 6 will be:
(x, y) = (-1, -7)A 4-pack of golf balls costs $11.60. What is the unit price?
Answer:
2.9
Step-by-step explanation:
11.6 divided by 4 equals 2.9
Answer:
2.9 :)
Step-by-step explanation: