factor 6 out of [tex]6x^2[/tex] - 18

Answer:

(5 + a - b)(a² + b² - 2ab - 5a + 5b + 25)

Step-by-step explanation:

125 + (a - b)³ ← is a sum of cubes and factors in general as

a³ + b³ = (a + b)(a² - ab + b²)

Then

125 + (a- b)³

= 5³ + (a - b)³

with a = 5 and b = (a - b)

= (5 a a - b)(5² - 5(a - b) + (a - b)² )

= (5 + a - b)(25 - 5a + 5b + a² - 2ab + b²)

= (5 + a - b)(a² + b² - 2ab - 5a + 5b + 25)

Answer:

Area of the slice of pie = 22.09 ft²

Step-by-step explanation:

Area of the slice of pie = Area of the sector of the circle with the central angle 45°

Area of the sector = [tex]\frac{\theta}{360^{\circ}}(\pi r^{2} )[/tex] [Here, r = radius of the circle]

                              = [tex]\frac{45^{\circ}}{360^{\circ}}(\pi )(\frac{15}{2})^2[/tex]

                              = 22.09 ft²

Area of the slice of pie = 22.09 ft²

Answer:

22.08ft^2

Step-by-step explanation:

A = πr^2(x/360) d = 15

Since r is half of diameter this means that r = 15/2 =7.5

so Lets use the Area of Sector formua

A =3.14(7.5)^2 (45/360)

A =3.14(56.25) (45/360)

A = 176.625 (45/360)

A = 176.625 (0.125)

A = 22.078125

rounded to the nearest 10th would make it 22.08

Step-by-step explanation:

the 60 preliminary published articles are a constant.

all the new articles are simply added to that to get the total number of published articles.

every months produces 12 more articles.

so,

m = 1 means a = 60 + 1×12 = 72

m = 3 means a = 60 + 3×12 = 60 + 36 = 96

m = 4 means a = 60 + 4×12 = 60 + 48 = 108

m = 9 means a = 60 + 9×12 = 60 + 108 = 168

Answer:

a open and close switch and a condentation out put.

Answer:

x=2*sqrt(5)

Step-by-step explanation:

Since the triangle is isosceles, the other side of the triangle is sqrt(10) too. By using Pythagoras theorem, we have 10+10=x^2, x=2*sqrt(5).

Answer:

27

Step-by-step explanation:

(whole secant) x (external part) = (tangent)^2

(48+x) * 48 = 60^2

(48+x)48=3600

Divide each side by 48

48+x =75

Subtract 48

48+x-48 = 75-48

x =27

Answer:

(0, -13/2) or (0, -6.5)

Step-by-step explanation:

a point on the y-axis means x=0.

so, the solution is a point (0, y).

and I assume (5, 6) is not R but is B.

for the angle at B being 90 degrees, we are looking at a right-angled triangle, and basic Pythagoras has to be true :

c² = a² + b²

with c being the Hypotenuse (the line opposite of the angle with the 90 degrees).

in our case, this c is the connection from A to C.

and a and b are the connections AB and BC.

so,

AC² = AB² + BC²

the distance between two points is again calculated via Pythagoras, where the differences in x and y directions are the sides, and the distance itself is the Hypotenuse.

so, we get

(0-0)² + (8-y)² = (0-5)² + (8-6)² + (5-0)² + (6-y)²

(8-y)² = -5² + 2² + 5² + (6-y)²

64 - 16y + y² = 25 + 4 + 25 + 36 - 12y + y²

64 - 16y + y² = 90 - 12y + y²

64 - 16y = 90 - 12y

-26 = 4y

y = -26/4 = -13/2 = -6.5

Answer:

(-6,2)

Step-by-step explanation:

Answer:

25°

Step-by-step explanation:

(80-30)/2

= 50/2

= 25

Answered by GAUTHMATH

Measure of angle 1 from the given circle is 40 degree. Therefore, option B is the correct answer.

If a line is drawn from an external point to a circle, creating a tangent segment and a secant segment, then the length of the tangent segment squared is equal to the product of the lengths of the secant segment and its external segment.

Given that, PB is tangent and PV and PU are secant.

Here, measure of arc VU = 80° and measure of arc ST = 30°

Now, m∠1=1/2 ×measure of arc VU

m∠1=1/2 ×80°

m∠1=40°

Therefore, option B is the correct answer.

To learn more about the circle theorems visit:

https://brainly.com/question/19906313.

#SPJ7

Answer: The Answer Is Letter B Or Letter C..... 12*4*2= 96

B.

an=−4 · (7)n−1; −470,596a subscript n baseline equals negative 4 times left parenthesis 7 right parenthesis superscript n minus 1 baseline semi-colon negative 470,596

C.

an=1 · (−4)n−1; 4,096a subscript n baseline equals 1 times left parenthesis negative 4 right parenthesis superscript n minus 1 baseline semi-colon 4,096

Step-by-step explanation: First Term: 2, Second Term: 6, Third Term: 18, Forth Term: 54, Fifth Term: 162

Geometric sequences and series

A geometric sequence is a sequence of numbers that follows a pattern were the next term is found by multiplying by a constant called the common ratio, r.

Example

Write the first five terms of a geometric sequence in which a1=2 and r=3.

We use the first given formula:

Just as with arithmetic series it is possible to find the sum of a geometric series. It is found by using one of the following formulas:

Video lesson

Use the formula for the sum of a geometric series to determine the sum when a1=4 and r=2 and we have 12 terms.

Answer:

The choose (C)

F(x)=x/ (x+1)(x-2)

-2a(a - d) + 2a(2a - 3d)

(-2a * a) + (-d * -2a) + (2a * 2a) + (2a * -3d)

-2a^2 + 2ad + 4a^2 - 6ad

(4a^2 - 2a^2) + (2ad - 6ad)

2a^2 - 4ad

---The above expression is simplified, though not fully. The below expression is fully simplified.

2a(a - 2d)

Hope this helps!

Answer:

Step-by-step explanation:

Hello!

x < -45/15

=>

{xIx<-3}

Answer:

2.6

Step-by-step explanation:

espero ter ajudado

Answer:

x = 360°

Answered by GAUTHMATH

2x+54=8x

So. The Answer is 7

Answer:

m/_6=60

Step-by-step explanation:

angles 3 and 6 are same side interior angles makeing them suplimentary.

180-/_3=/_6

180-120=60

it works both ways as well!

Answer:

a) [tex]n = 4 + 7\cdot i[/tex], [tex]\forall\, i \in \mathbb{N}_O[/tex], b) [tex]n = 2 + (i+1)^{2}[/tex], [tex]\forall \,i\in \mathbb{N}_{O}[/tex]

Step-by-step explanation:

a) The sequence is representative for an arithmetic sequence, whose key characteristic is that difference is between two consecutive elements is the same. In particular, the sequence has a difference of 7 between any two consecutive elements and the initial element is 4. Hence, we can derive the following formula:

[tex]n = n_{o} + r\cdot i[/tex], [tex]\forall\, i \in \mathbb{N}_O[/tex] (1)

Where:

[tex]n_{o}[/tex] - Initial element.

[tex]r[/tex] - Difference between two consecutive elements.

[tex]i[/tex] - Index.

If we know that [tex]n_{o} = 4[/tex] and [tex]r = 7[/tex], then the expression for the n-th term of the sequence is:

[tex]n = 4 + 7\cdot i[/tex], [tex]\forall \,i\in\mathbb{N}_{O}[/tex]

b) In this case, we have a geometric sequence described by the following equation:

[tex]n = 2 + (i+1)^{2}[/tex], [tex]\forall \,i\in \mathbb{N}_{O}[/tex]  (2)

The constant element ([tex]2[/tex]) represents the two extreme squares, whereas the second order binomial represents the total of squares in the middle ([tex](i+1)^{2}[/tex]) and emulates the area formula of the square.

Answer:

Step-by-step explanation:

?

Answer:

[tex]\displaystyle \frac{x+10}{4}[/tex]

Step-by-step explanation:

We want to write an expression for the phrase: "x increased by 10 divided by 4."

If x is being increased by 10, the expression is:

[tex]x+10[/tex]

And if it is then divided by 4, we can place the entire expression over four. Hence:

[tex]\displaystyle \frac{x+10}{4}[/tex]

Our expression is:

[tex]\displaystyle \frac{x+10}{4}[/tex]

Answer:

see below

Step-by-step explanation:

2^30

-------

8^9

Rewriting

8^9

2^3 ^ 9

We know a^b^c = a^(b*c)

2^(3*9) = 2^27

2^30

-------

2^27

We know a^b / a^c = a^(b-c)

2^(30-27) = 2^3

Assuming you mean 2^x

2^3 = 2^x

x=3

If you mean 2x

2^3 = 8

8 = 2x

Divide by 2

4 =x

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{\dfrac{2^{30}}{8^9}=2x}[/tex]

[tex]\mathsf{2^{30}}\\\mathsf{= \bf 1,073,741,824}\\\\\mathsf{8^9}\\\mathsf{= \bf 134,217,728}[/tex]

[tex]\mathsf{\rightarrow \dfrac{1,073,741,824}{134,217,728}= 2x}\\\\\\\mathsf{\dfrac{1,073,741,824}{134,217,728}= \bf 8}\\\\\\\mathsf{\rightarrow \ 8 = 2x}\\\\\\\\\large\textsf{TURN\ the\ EQUATION\ around}\\\\\\\mathsf{\rightarrow\ 2x = 8}\\\\\\\large\textsf{DIVIDE 2 to BOTH SIDES}\\\\\\\mathsf{\dfrac{2x}{2}=\dfrac{8}{2}}\\\\\\\large\textsf{CANCEL out: }\mathsf{\dfrac{2}{2}}\large\textsf{ because it gives you 1}\\\\\\\large\textsf{KEEP: }\mathsf{\dfrac{8}{2}}\large\textsf{ because it gives you the answer of x}[/tex]

[tex]\mathsf{x = \dfrac{8}{2}}\\\\\\\mathsf{x = 8\div 2}\\\\\\\mathsf{x = \bf 4}\\\\\\\\\\\boxed{\boxed{\huge\text{Therefore, your answer is: \textsf{x = 4}}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

1. Because if you have a plan early then you can start saving early, which increases the amount you will have. The future is also unpredictable

2. Set aside money over a set period (put aside money each month, year). You can set up a plan through your employer ie 401K, or set up an individual retirement plan (IRA). Your employer takes a percentage you choose out of your check each month (commonly 3%, 5%, %10, 15%). The money is taken from your paycheck before taxes therefore it lowers your income and you pay less in taxes. An IRA is similar to a bank account as you choose when and how much you put in over time. Both can be withdrawn at 59 1/2.

3. Compound interest essentially earns you more money for retirement. It can be important because you earn more than with regular interest.

4. Start balancing expenses, make a plan for retirement and practicing saving. It would also be beneficial to start setting aside money for retirement even if you haven't opened an account yet.

5. Make sure you can comfortably live off of your retirement. If you can't it would be best to maximize your retirement and savings, or consider working seasonally or part-time

Answer:

yea it should be 4

Step-by-step explanation:

all you doing is dividing

Answer:

y = -1/2x - 9/2

Step-by-step explanation:

Answer:

just put in the cheat codes of life its not that hard

Answer:

answers is B

(Study island)

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

Substitute the expressions.

After the first translation, the value of x is (x+n). Put that as the value of x in the second translation.

  x ⇒ x +s . . . . . . . . . the definition of the second translation

  (x+n) ⇒ (x+n) +s . . . the result after both translations

The same thing goes for y. After the first translation, its new value is (y+1).

  y ⇒ y +m . . . . . . . . the definition of the second translation

  (y+1) ⇒ (y+1) +m . . . the result of both translations

Then the composition of A followed by B is (x, y) ⇒ (x +n +s, y +1 +m).

__

The same reasoning applies. After the B translation, the x-coordinate is (x+s) and the y-coordinate is (y+m). Then the A translation changes these to ...

  x ⇒ x +n . . . . . . . . . . definition of translation A

  (x+s) ⇒ (x+s) +n . . . . translation A operating on point translated by B

  y ⇒ y +1 . . . . . . . . . . . definition of translation A

  (y+m) ⇒ (y+m) +1 . . . . translation A operating on point translated by B

The composition of B followed by A is (x, y) ⇒ (x + s + n, y + m + 1).

__

You should recognize that the sums (x+n+s) and (x+s+n) are identical. The commutative and associative properties of addition let us rearrange the order of the terms with no effect on the outcome.

The two translations give the same result in either order.

Answer: 80, 40

Step-by-step explanation: I just made an equation which went something along the lines Of 3.1x=248 , then you get 80, then 40.

Answer:

y = -7x + 52

Step-by-step explanation:

y = -7x - b

-4 = -7(8)  + b

-4 = -56 + b

52

Answer:

the answer is get to be D-3.5