What are the factors of
[tex] {x}^{2002} - 1[/tex] ?
I want step-by-step explanation. Spam free answer required
Step 1: Trying to factor as a Difference of Squares:
Factoring: x²⁰⁰² - 1
Theory : A difference of two perfect squares, A² - B² can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A² - AB + BA - B² =
A² - AB + AB - B²
A² - B²
Note : AB = BA is the commutative property of multiplication.
Note : - AB + AB equals zero and is therefore eliminated from the expression.
Check : 1 is the square of 1
Check: x²⁰⁰² is the square of x¹⁰⁰¹
Factorization is : (x¹⁰⁰¹ + 1) × (x¹⁰⁰¹ - 1)
please help and show work I'll mark you brainliest if I can
Answer: If your talking about the angle degree it is 45°
Step-by-step explanation:
please help with this
Answer:
[tex]y = \frac{1}{8} x - 3[/tex]
Step-by-step explanation:
Formula for straight lines:
[tex]y = mx + b[/tex]
where m = slope, b = constant
Given:
y-intercept = -3 (0, -3)
m = ⅛
Substitute into formula to find b.
[tex] - 3 = \frac{1}{8} (0) + b \\ - 3 = 0 + b \\ b = - 3[/tex]
Substitute b into original formula
[tex]y = mx + b \\ y = \frac{1}{8} x + ( - 3) \\ y = \frac{1}{8} x - 3[/tex]
find the distance, midpoint, and slope of line AB. A(-2,-1) and B(6,3)
Answer:
[tex]Slope (m) = \frac{y}{x}=\frac{1}{2} = 0.5[/tex]
[tex]Distance (d) = \sqrt{x^2+y^2} =\sqrt{80} =8.9442719099992[/tex]
[tex]Mindpoint =\left(2,\:1\right)[/tex]
Step-by-step explanation:
[tex]Slope (m) = \frac{y}{x}=\frac{1}{2} = 0.5[/tex]
[tex]0 = arctan(\frac{y}{x} = 26.565051177078^o[/tex]
[tex]Distance (d) = \sqrt{x^2+y^2} =\sqrt{80} =8.9442719099992[/tex]
X = 6 – -2 = 8
Y = 3 – -1 = 4
Equation of the line:
y = 0.5x
When x=0, y = 0
When y=0, x = -0
Midpoint:
[tex]\mathrm{Midpoint\:of\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]
[tex]\left(x_1,\:y_1\right)=\left(-2,\:-1\right),\:\left(x_2,\:y_2\right)=\left(6,\:3\right)[/tex]
[tex]=\left(\frac{6-2}{2},\:\frac{3-1}{2}\right)[/tex]
[tex]=\left(2,\:1\right)[/tex]
10^5 =
easy question
[tex] \: \: \: [/tex]
[tex] \pink{100000}[/tex]
step-by-step explanation
[tex] {10}^{5} [/tex]
write the exponentiation as a multiplication[tex]10 \times 10 \times 10 \times 10 \times 10[/tex]
multiply the number[tex] = \pink{100000}[/tex]
hope it helps
Answer:
The solution is 100.000
Step-by-step explanation:
10⁵
= 10×10×10×10×10
= 100×10×10×10
= 1.000×10×10
= 10.000×10
= 100.000
What is the equation of a line that goes through points (4,-5) and (-4, 1)?
Answer:
y=-3/4x-2
Step-by-step explanation:
y=mx+b form (slope intercept form)
1) find slope
(4,-5) and (-4,1)
1-(-5)=6
-4-4=-8
m=6/-8 or 3/-4
y=-3/4x+b
Plug a coordinate in y=mx+b. Plug either (4,-5) or (-4,1)
in this case, I'll plug in (4,-5).
-5=-3/4(4)+b
Note that I substituted the y and x variables in place of one of the coordinates.
find b=-2.
Result: y=-3/4x-2
After Donovan gives Mabel 6 pears, she has
(x + 6) pears. If Mabel gives one-third of her
pears to Nelson, how many pears, in terms
of x, does Nelson have?
Answer:
see explanation
Step-by-step explanation:
Mabel has (x + 6) pears , then Nelson has
[tex]\frac{1}{3}[/tex] (x + 6) = [tex]\frac{1}{3}[/tex] x + 2
The number of pears that Nelson has in terms of x will be x / 3 + 2.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
After Donovan gives Mabel 6 pears, she has (x + 6) pears.
If Mabel gives one-third of her pears to Nelson. Then the number of pears that Nelson has in terms of x will be calculated as,
⇒ (x + 6) / 3
Simplify the equation, then we have
⇒ (x + 6) / 3
⇒ x / 3 + 2
The number of pears that Nelson has in terms of x will be x / 3 + 2.
More about the Algebra link is given below.
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Solve 54=y−14. i need help anything helps.
Answer:
y=68
Step-by-step explanation:
isolate the variable by adding 14 to both sides
54+14=y+14-14
68=y
will mark brainliest help
Answer:
1 = 8 and 50
2= 50 and a
Step-by-step explanation:
Each child in the Martin family decided to save money for the family vacation.
Mrs. Martin asked the children to show how they would spend the money if given $20 each week for 8 weeks.
Which person would have the most money left for the vacation?
Answer:
The story is not clear enough to provide the answer
Step-by-step explanation:
First of all we do not know how many childen are in the Martin Family
[tex]20 \times 8[/tex]
=$160
So depending on how each child sends and how many children will determine which kid will have most of the money left
someone please help me with this question, pleaseeeee :/
tyyyyy!
Answer:
4x+9y-27=0
compare and fill em
hope it helps
Answer:
2
Step-by-step explanation:
y=1y
x=1x
so the answer will be 2.
may be
hope to help!!!
Which of the following points would be on the graph of
the equation y=-40 + 6?
-4, -10)
(-4, 22)
(1, -10)
(1, - 2)
О
-
о
Step-by-step explanation:
To find points on the line y = mx + b, choose x and solve the equation for y, or. choose y and solve for x.
How can you tell if you’re finished solving a polynomial division problem ?
Answer:
Hope this helps :D
Step-by-step explanation:
Here are the steps in dividing polynomials using the long method:
Arrange the indices of the polynomial in descending order. Replace the missing term(s) with 0.
Divide the first term of the dividend (the polynomial to be divided) by the first term of the divisor. This gives the first term of the quotient.
Multiply the divisor by the first term of the quotient.
Subtract the product from the dividend then bring down the next term. The difference and the next term will be the new dividend. Note: Remember the rule in subtraction "change the sign of the subtrahend then proceed to addition".
Repeat step 2 – 4 to find the second term of the quotient.
Continue the process until a remainder is obtained. This can be zero or is of lower index than the divisor.
If the divisor is a factor of the dividend, you will obtain a remainder equal to zero. If the divisor is not a factor of the dividend, you will obtain a remainder whose index is lower than the index of the divisor.
When a divisor has more than one term or if the divisor is a polynomial containing more than one term, the four steps used to divide whole numbers— (divide, multiply, subtract, bring down the next term)—form the repetitive procedure for the polynomial long division.
Step-by-step explanation:
a
Aiden and his parents are looking at what cell phone plan is the best deal financially.
Cherokee Cell company quoted them a base price of $20 a month plus $2 per text
message. The second store that Aiden and his family visited was Warriors Wifi. They
charged $80 a month plus $0.50 per text message. Based on this information, what is
the better deal for Aiden and his family if Aiden plans on sending 175 text messages a
month and why?
O Cherokee Cell is the better deal because it will cost $70 for 25 texts.
Cherokee Cell is the better deal because it will cost $167.50 for 175 texts.
O Warrior Wifi is the better deal because it will cost $167.50 for 175 texts.
Warrior Wifi is the better deal because it will cost $70 for 25 texts.
Answer:
Warrior WiFi is better because it costs 167.50 for 175 texts.
Step-by-step explanation:
2x175 = 350 + 20 = 370
0.50x175 = 87.5 + 80 = 167.5
Determine whether the lines 3x+2y=6 and 4y=-6x-12 are parallel, intersect, or coincide
Answer:
parallel
Step-by-step explanation:
3x + 2y = 6 can be written as y = -3/2x +3
4y = -6x -12 can be written as y= -3/2x-3
same slope different y intercept so parallel
write an equation in slope intercept form for the line that passes through the point, and is perpendicular to the line y=-1/3x+9;(-6,-2)
Answer:
Step-by-step explanation:
y=-1/3x+9
This is written in the format y=mx+b, where m is the slope and b the y-intercept (the value of y when x=0).
Perpendicular lines have a slope that is the negative inverse of the slope of the reference line, in this case -(1/3). The new slope is 3. equation is:
y = 3x + b
To find b, enter the given point, (-6,-2) and solve for b:
y = 3x + b
-2 = 3(-6) + b
-2 = -18 + b
b = 16
The full equation is y=3x + 18
Find the slope of the line that goes through (5,-8) and (-2,2)
Answer:
-1.42857
Step-by-step explanation:
help this is due today?
Answer:
2s for the first box
6u for the second box
Step-by-step explanation:
when they say like terms, just think about how the letter parts of the expression are the same
like 1/2s and 2s both have the singular variable s
and how 6u and 9u both have the singular variable u
To solve this one you have to find the ones that are connected by variables or look the same
For example.
1x and 2x are like terms because they have the same variable X
4d and 6/2d are like terms because they have the same variable D
4 and 3 are like terms because they have no variables, and they are the same
So now that you understand what like terms are you may so it
1/2 and 2s are like terms because they share the same variable S
6u and 9u are like terms because they share the same variable U
I hope this helped and if it's wrong blame me
Ps. Brainlist would really help
help help help help help
Answer:
i think the center (-7,6) and r = 7
How do I solve this question?
Answer:
A
Step-by-step explanation:
throat bababy
A blueprint has a scale of 4 inches = 12 feet. What is the scale factor? A. 1 inch = 3 feet. B. 3 inches = 1 foot. C. 4 inches = 12 feet. D. 1 inch = 4 feet
write it in web and then u will find the answer in a calculator
The solution is Option A.
The scale factor of the blueprint is given by the equation 1 inch = 3 feet
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
A blueprint has a scale of 4 inches = 12 feet
So , the value of equation A is
4 inches = 12 feet
Divide by 4 on both sides of the equation , we get
4 inches / 4 = 12 feet / 4
On simplifying the equation , we get
1 inch = 3 feet
Therefore , the value of A is 1 inch = 3 feet
Hence , the scale factor of the blueprint is 1 inch = 3 feet
To learn more about equations click :
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Write these numbers from least to greatest 0.152 0.152 0.132 0.140 01212 0.1412 0.150 0.148
Step-by-step explanation:
0.1212 < 0.132< 0.140 < 0.1412 <0.148 <0.150 < 0.152
Adrian purchases a book for $4.86 and a poster for $3.44. If she gives the cashier
$15.00, how much change should she receive? (Don't worry about taxes!)
Answer:
$6.70
Step-by-step explanation:
Adrian purchases a book for 4.86 and a poster for 3.44
The total amount he owes would be 4.86 + 3.44 = $8.30
If she gives the cashier 15 dollars she should receive 15 - 8.30 = $6.70 back.
Find three consecutive even numbers such that the difference
between the square of the third and twice the square of the first is 32
What is the sum of the addition equation 0.7 + 0.2 = ________?
Answer:
7+2=9 so the answer is 0.9
Step-by-step explanation:
can someone please help me with this
Answer:
a or b.
Step-by-step explanation:
Find the value 3x-7 if 4x+12=24
I'm pretty sure that's what you meant
2(3x+4) - 4 (x + 2)=6 what dose x =
Step-by-step explanation:
2(3x + 4) - 4(x + 2) = 6
6x + 8 - 4x - 8 = 6
2x = 6
x = 6/2 = 3
A) by AA similarity
B) by sas similarity
C)Not enough information
D) by sss similarity
Please see the photo
Please don't answer randomly because if you answer randomly you are gonna lose points
Answer: b
Step-by-step explanation:
Answer: It's yes and (D) SSS because all the angles are side side side and all have the same angles but one's smaller while the other is bigger but that doesn't change anything. :)
Step-by-step explanation:
Solve by using the quadratic formula. (If there is no solution, enter NO SOLUTION.)
1/7x^2+1=3/7x
smaller value of x =
larger value of x=
[tex]\dfrac 17 x^2 + 1 = \dfrac 37 x\\\\\implies x^2 +7 =3x~~~;[\text{Multiply both sides by 7}]\\\\\implies x^2 -3x +7 =0\\\\\text{Apply quadratic formula}~ x = \dfrac{-b \pm \sqrt{b^2 -4ac}}{2a}.\\\\\text{In this case ,}~ a =1, b= -3 , c =7\\\\x = \dfrac{-(-3) \pm \sqrt{(-3)^2 - 4(1)(7}}{2(1)}\\\\\implies x= \dfrac{3 \pm \sqrt{-19}}{2}\\\\\implies x =\dfrac{ 3 \pm i\sqrt{19}}2\\\\\\\text{Smaller value of x } =\dfrac{ 3 -i\sqrt{19}}2\\\\\text{Larger value of x } =\dfrac{ 3 +i\sqrt{19}}2[/tex]