Find the lcm of ÷ 16a^4+4a^2+169,8a^3+2a(2a+13)+16a^2

Answers

Answer 1

Answer:

Step-by-step explanation:

Hope this helps u !!

Find The Lcm Of 16a^4+4a^2+169,8a^3+2a(2a+13)+16a^2
Answer 2

The LCM of 2a(4a² + 10a + 13)(4a² + 13 - 10a).

What is Least Common Multiple?

Least Common Multiple, often known as the Lowest Common Multiple, is denoted by the acronym LCM. The lowest number that may be divided by both numbers is known as the least common multiple (LCM) of two numbers. It can also be computed using two or more numbers.

The smallest number among all the common multiples of the provided numbers is the least common multiple of two or more numbers.

We have,

16[tex]a^4[/tex] + 4a² + 169 and 8a³ +2a(2a + 13) + 16a²

First, 16[tex]a^4[/tex] + 4a² + 169

= (4a²)² + (2a)² + (13)²

= (4a²)² + 2 . 4a² . 13 + (13)² + 4a² + 104a²

= (4a² + 13)² - (10a)²

= (4a + 13 - 10a) (4a + 13 + 10a)

= (13 - 6a)(13 + 14a)

Second, 8a³ +2a(2a + 13) + 16a²

= 8a³ + 4a² + 26a + 16a²

= 8a³ + 20a² + 26a

= 2a(4a² + 10a + 13)

So, the LCM is

= 2a(4a² + 10a + 13)(4a² + 13 - 10a)

Learn more about LCM here:

https://brainly.com/question/20739723

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Related Questions

Find the measure of arc CEB

Answers

Answer:

Step-by-step explanation:

Arc CAB through E is just the sum of the 3 minor arcs you are given

Arc CEB = 53 + 79 + 68

Arc CEB = 200

Which expression is equivalent to (x^-6/x^2)^3
1/x
1/x^5
1/x^9
1/x^24

Answers

Step-by-step explanation:

1/x^24 is the correct expression

Fill in the blank with the correct response. The slope of the graph of y = -7x is

Answers

Answer:

The slope is -7

Step-by-step explanation:

[tex]y = mx + c[/tex]

The [tex]m[/tex] indicates the slope/gradient of a graph

Answer:

m = -7

Step-by-step explanation:

y = -7x is a typical slope-intercept equation of a straight line.  Comparing it to

y = mx + b, we see that the slope, m, is -7 and the y-intercept, b, is 0.

Find the measurement of the missing side in each right triangle.

Answers

Answer:

12

Step-by-step explanation:

[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]

in this case its

[tex]5^{2}[/tex] + [tex]b^{2}[/tex] = [tex]13^{2}[/tex]

25 + [tex]b^{2}[/tex] = 169 subtract 25 from both sides

[tex]b^{2}[/tex] = 144 take square root of each side

b = 12

Answer:

[tex]12[/tex]

Step-by-step explanation:

----------------------------------------

In order to find the missing side of the triangle, we would need to use the Pythagorean theorem: [tex]a^2+b^2=c^2[/tex]

So,

[tex]5^2+b^2=13^2[/tex]

[tex]25+b^2=169[/tex]

[tex]b^2=144[/tex]

[tex]b=12[/tex]

--------------------

Hope this helps.

given that cot(θ)= -√5/3 and cos(θ) < 0, find sin(θ)

Answers

D. 3√14 /14

Step-by-step explanation:

given that cot(θ)= -√5/3 and cos(θ) < 0

cot(θ)= -√5/3 and cos(θ) < 0, the angle should be on quadrant II.

cot(θ)= -√5/3 => x = -√5 , y = 3

h = √(-3)²+5 =√14

so, sin(θ) = y/h = 3/√14 = 3√14 /14

help asap please im failing

Answers

Step-by-step explanation:

The y intercept is when x=0 what is the y value.

When x=0, the y intercept is 1.

b. A gradient is the slope of the line. We need to find the rise and run of the line between two points.

Let use points 0,1 and 1,3

Our y values rise by 2 values and our x values change by 1 value so our slope is

[tex] \frac{2}{1} = 2[/tex]

Answer:

a. At the y-intercept,x=0

This implies the y-intercept=1

b. Taking points (0,1) and (1,3), the gradient of the line is given by (3-1)/(1-0) =2/1 =2

A store sells a certain tile for $2 per tile and a pint of paint for $3. A second store sells the same items for $1 per tile and $4 per pint of paint. Ari bought the same number of tiles and pints of paint at both stores, costing him $26 at the first store and $18 at the second store, before tax. Which system of equations can be used to find the number of tiles, x, and the number of pints of paint, y, that Ari bought at each store? A system of equations. 3 x plus 4 y equals 18. X plus 2 y equals 26. A system of equations. X plus 3 y equals 18. 2 x plus 4 y equals 26. A system of equations. 2 x plus 3 y equals 26. X plus 4 y equals 18. A system of equations. 3 x plus 2 y equals 26. 4 x plus y equals 18.

Answers

Answer:

2 x plus 3 y equals 26. X plus 4 y equals 18

Step-by-step explanation:

Number of tiles, = x

Number of pints of paint, = y

Store 1:

Cost per tile = $2 ; cost per pint = $3 ; total cost = $26

Store 2 :

Cost per tile = $1 ; cost per pint = $4 ; total cost = $18

System of equation:

2x + 3y = 26 - - - (1)

x + 4y = 18 - - - - - (2)

Solve for O pls and thank you

Answers

Answer:

a)  67.4°

Step-by-step explanation:

since this is a right triangle you can use the sine trigonometric ratio of opposite/hypotenuse

sin⁻¹(Ф) = 12/13 which equals 67.4°

Please help me find the volume

Answers

Check the picture below.

so we have a pyramid atop and a rectangular prism at its base, so we simply get the volume of each separately and add them up.

[tex]\hspace{34em}|\\ \textit{volume of a pyramid} \\ \cfrac{1}{3}Bh~~ \begin{cases} B=\stackrel{\textit{area of its base}}{6\times 6}\\ h=\stackrel{\textit{its height}}{8} \end{cases} \\\\\\ \cfrac{1}{3}(6\cdot 6)(8)\implies \cfrac{36}{3}\cdot 8\implies 12\cdot 8\implies \underline{96}[/tex]

[tex]\textit{volume of a rectangular prism}\\ Lwh~~ \begin{cases} L=\stackrel{length}{6}\\ w=\stackrel{width}{6}\\ h=\stackrel{height}{4} \end{cases} \\\\\\ 6\cdot 6\cdot 4\implies 36\cdot 4\implies \underline{144} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill \stackrel{\textit{volume of the figure}}{96+144\implies 240}~\hfill[/tex]

What is the value of x?
85°
92°
53°

Answers

Answer:

x = 46

Step-by-step explanation:

Vertical angles are equal so call the angle y

85+53 +y =y+ 92+x

Subtract y from each side

85+53  = 92+x

Combine like terms

138 = 92+x

Subtract 92 from each side

138 -92 = 92+x-92

46 =x

Can someone help me with this please ?

Answers

3. (x + 1)/4 = 3 / 6
x + 1 = 3/6 x 4 = 2
x = 1

Scale factor = 6 / 4 = 1.5

Ratio of perimeters = 2 : 3

4. x / 21 = 20 / 15
x = 20 / 15 x 21 = 28

Scale factor = 20 / 15 = 4/3

Ratio of perimeters = 3 : 4

what is 55 degrees in radian measure as a multiple of pi

Answers

To change degrees to radian we have to use a rule :

Rad=degree/180/π

Rad = 55/180/π

Final answer:

Rad= (11/36)π [this answer is In pi]

Rad= 0.96 [this answers is the simplified version]

T= 3x +4y work out the value of T when x = 5 and y = -7

Answers

Answer:

T=-13

Step-by-step explanation:

substitute T=3*5+4*(-7)

the product:T=15-28

the sum:T=-13

Need answer ASAP!!!!

Answers

Answer:

The ASAP Math program provides an opportunity for additional small group instruction for students who find the math program challenging. Students in grades 1 to 4 will come to the ASAP room two to three times a week during the math block.

Step-by-step explanation:

Write an equation to represent the relationship between x and y:​

Answers

Answer:

y = 1/3 x - 1

Step-by-step explanation:

use slope formula then substitute an x and y and the m to find b

y=mx+b

The drama club sold $779 worth of tickets to the school play. Student tickets cost $3 apiece and tickets for everyone else cost $5 each. What equation relates the number of student tickets that were sold, s, and the number of other tickets that were sold, t, written in standard form?

s +
t =

Answers

Answer:

3s + 5t = 779

Step-by-step explanation:

Answer:

3 5 779

Step-by-step explanation:

A container in the shape of this cuboid holds 2 litres of water.
The container has a square base.
Its height is double the length of each edge on its base.
Work out the height of the container, in cm.

Answers

Given:

Volume of cuboid container = 2 litres

The container has a square base.

Its height is double the length of each edge on its base.

To find:

The height of the container.

Solution:

We know that,

1 litre = 1000 cubic cm

2 litre = 2000 cubic cm

Let x be the length of each edge on its base. Then the height of the container is:

[tex]h=2x[/tex]

The volume of a cuboid is:

[tex]V=l\times w\times h[/tex]

Where, l is length, w is width and h is height.

Putting [tex]V=2000,\ l=x,\ w=x,\ h=2x[/tex], we get

[tex]2000=x\times x\times 2x[/tex]

[tex]2000=2x^3[/tex]

Divide both sides by 2.

[tex]1000=x^3[/tex]

Taking cube root on both sides.

[tex]\sqrt[3]{1000}=x[/tex]

[tex]10=x[/tex]

Now, the height of the container is:

[tex]h=2x[/tex]

[tex]h=2(10)[/tex]

[tex]h=20[/tex]

Therefore, the height of the container is 20 cm.

The box-and-whisker plot below represents the number of cars in the airport parking lots. Is there more variability in the number of cars below 120 or above 230? Choose the correct answer and explanation.

Answers

Answer:

report me I want deleted:)

HELP please i need this done by thursday

Answers

It would be one unit right and five units down.

f(x-1) - 5

The -1 is the x value
And -5 is the y value.

The vertex formula is a(x-h)^2 + k
This is modified so no ^2.

If you plug -5 in, it would be (x- -5), therefore, it’s positive.

So, (1, -5).

A= P(1+rt)
A= 27 and t=3 solve for r.

Answers

Answer:

(27 - P) / 3P = r

Step-by-step explanation:

A = P(1 + rt)

A = 27

27 = P(1 + 3r)

27 = P + 3Pr

27 - P = 3Pr

(27 - P) / 3P = r

bill has the following test scores in science: 82% 88% and 96%. he hasn’t one more test to take this quarter. if bill wants husband test average to be 90% what score does he need to earn on his last test?

Answers

Answer:

He needs to earn a 94%.

Step-by-step explanation:

[tex]\frac{82+88+96+x}{4} = 90\\ \\ \frac{266+x}{4} =90\\\\ 4(\frac{266+x}{4}) =(90)4\\ \\ 266+x = 360\\ \\ 266+x-266 =360-266\\ \\ \\x = 94[/tex]

He must earn a 94% on his latest test for a test average of 90%

[tex]1,6 + 6,13[/tex]

Answers

= 1,6 + 6,13

= 7,73 .

FollowMe? FollowBack.

Answer:

7,73

Step-by-step explanation:

1,6

6,13 +

7,73

[tex] \: \: \: [/tex]

What is the answer for this question?

Answers

Answer:

a/e

~~~~~~~~~~

[tex]\frac{(18) ab (20)cd}{ (15) bc (24) de}[/tex]

[tex]\frac{(3) ab (4)cd}{ (3) bc (4) de}\\[/tex]

[tex]\frac{ ab cd}{ bc de}\\[/tex]

[tex]\frac{ a }{ e}\\[/tex]

Step-by-step explanation:

Ms. Mackey records the number of math problems that each of her students gets correct on a math fact quiz.
The numbers of correct problems on the quizzes for the 15 students are listed below.

Answers

Answer and also explanation:

Use the drawing tool(s) to form the correct answer on the provided plot.

In order to construct a dot plot representing the number of correct problems on each student's quiz, first find the range of the data.

The maximum number of correct problems is 10. The minimum number of correct problems is 2. Therefore, the number of correct problems ranges from 2 to 10.

Next, determine how many students had each number of correct problems in the range.

No. of Correct Problems

0 1 2 3 4 5 6 7 8 9 10

No. of Students 0 0 1 1 2 0 3 2 2 2 2

The number of correct problems, from 0 to 10, will be the values on the number line. The number of students will be the number of dots above each value on the number line.

The dot plot showing the correct number of math problems for Ms. Mackey's students is shown on your question.

Who was the first president of Nigeria​

Answers

Answer:

Nnamdi Azikiwe

Step-by-step explanation:

he was the first one

20% deposit
5 years to pay
Monthly instalment
R6475,00
how much will he pay after 5 years?

Answers

Answer:

R12,950.00

Step-by-step explanation:

We solve using the formula

Equation:

A = P(1 + rt)

Calculation:

First, converting R percent to r a decimal

r = R/100 = 20%/100 = 0.2 per year.

Solving our equation:

A = 6475(1 + (0.2 × 5)) = 12950

A = R12,950.00

Therefore, the amount he will pay after 5 years is R12,950.00

Which is an equivalent form of the expression 1800(1.2)–t?

Answers

Answer:

2160 - t

Step-by-step explanation:

1800(1.2)–t

2160 - t

Give an example of a function which represents all types of a function. Find the composite function (fog)(x) given that f = {(1,6), (4,7), (5,0)) and g = {(6,1), (7,4), (0,5)}

Answers

Answer:

(fog)(x) = x

Step-by-step explanation:

Composite function:

[tex](f \circ g)(x) = f(g(x))[/tex]

Composite of a function and its inverse.

The composition of a function and it's inverse is the straight line x. So

[tex](f \circ f^{-1})(x) = x[/tex]

f = {(1,6), (4,7), (5,0)) and g = {(6,1), (7,4), (0,5)}

We can see that the x-values in f are the y-values for g, and the y-values for f are the x-values for g, that is, f and g are inverse functions. Thus:

(fog)(x) = x

1. Find 3 rational numbers between −1//3 and 1/−5

Answers

Step-by-step explanation:

-1×5 1×3

------ -----

3×5 -5×3

=

-5/15 -3/15

-5/15×4/4 ;

-3/15×4/4

=

-20/60 ;

-12/60

you can write any 8 rational no. between them

please mark as brainliest answer as it will also give you 3 pts

Sabe-se que o preço a ser pago por uma corrida de táxi inclui uma parcela fixa, que é denominada bandeirada, e uma parcela variável, que é função da distância percorrida. Se o preço da bandeirada é R$4,60 e o quilômetro rodado é R$0,96, qual a distância percorrida por um passageiro que pagou R$19,00?

a) 15 km

b) 16 km

c) 17 km

d) 18 km

e) 19 km

Answers

Answer:

El pasajero recorrió 15 kilómetros.

Step-by-step explanation:

Dado que se sabe que el precio a pagar por un viaje en taxi incluye una parte fija, que se denomina bajada de bandera, y una parte variable, que es función de la distancia recorrida, si el precio de la bajada de bandera es de R $ 4,60 y el kilómetro recorrido es de R $ 0,96, para determinar cuál es la distancia recorrida por un pasajero que pagó R $ 19,00 se debe realizar el siguiente cálculo:

Costo total = (0.96 x cantidad de km recorridos) + 4.60

19 = 0.96X + 4.60

19 - 4.60 = 0.96X

14.4 = 0.96X

14.4 / 0.96 = X

15 = X

Por lo tanto, el pasajero recorrió 15 kilómetros.

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