MATHEMATICS HIGH SCHOOL

What is the product of (3a + 2)(4a2 - 2a + 9)?

Answers

Answer 1

Answer:

Answer:

12a³+2a²+23a+18

Step-by-step explanation:

(3a+2)(4a²-2a+9)=

12a³-6a²+27a+8a²-4a+18=

12a³+2a²+23a+18

If you need more explanation, reply to this answer.

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Select the proper fraction.A.56/12B.132/12C.132/234D.108/12

How could you use the product of 108 and 4 find the product of 324 and 4

Answers

324 is exactly three times 108. Thus, the product of 324 and 4 is exactly three times the product of 108 and 4.

What is product?

In mathematics, a product is the outcome of multiplying two or more numbers together.

The outcome of multiplication is a product, or a factor, which is an expression that specifies the objects (numbers or variables) to be multiplied.

For instance, the result of multiplying 2 and 5 together is 10, or the product. Math requires a lot of multiplication.

Explanation:

Since, 324 is exactly three times 108,

324 = 3 x 108.

Therefore,

324 x 4 = (3 x 108) x 4

324 x 4 = 3 x (108 x 4)

Solving,

108 x 4 = 432

therefore,

324 x 4 = 3 x 432

324 x 4 = 1296.

As, shown above we can use the product of 108 and 4 to find the product of 324 and 4.

Thus, you multiply the product of 108*4 by thee to get 324*4

Therefore, 324 is exactly three times 108. Thus, the product of 324 and 4 is exactly three times the product of 108 and 4.

To know more about the product, click on the link

brainly.com/question/213425

#SPJ2

108 x 4 = 432 and 432 x 3 = 1296 = (324 x 4)

Given the roll of paper towels below how much plastic would be needed to cover the role so it can be sold given the diameter of the role is 10 inches and the height is 13 inches

Answers

Answer:

Amount of plastic need to cover paper role = 565.2 inches

Step-by-step explanation:

Given:

Diameter of paper role = 10 inch

Height of paper role = 13 inch

Find:

Amount of plastic need to cover paper role

Computation:

Radius of paper role = Diameter of paper role / 2

Radius of paper role = 10 / 2

Radius of paper role = 5 inch

Amount of plastic need to cover paper role = Total surface area of cylinder

Amount of plastic need to cover paper role = 2πr(h+r)

Amount of plastic need to cover paper role = 2(3.14)(5)(13+5)

Amount of plastic need to cover paper role = (3.14)(10)(18)

Amount of plastic need to cover paper role = 565.2 inches

In a rhombus, the sides are 14 inches long. two intersecting sides form a 60 degree angle. what are the exact lengths of the two diagonals

Answers

Long Diagonal AD = Square Root (2•Side² + 2•Side² • cos(A) )
Long Diagonal AD = Square Root (2*14^2 + 2*14^2 * cos(60) )
Long Diagonal AD = Square Root ( 392 + 392*.5)
Long Diagonal AD = Square Root (392 + 196)
Long Diagonal AD = Square Root (588)
Long Diagonal AD = 24.248711306

Short Diagonal BC = Square Root (2•Side² - 2•Side² • cos(A) )
Short Diagonal AD = Square Root ( 392 - 392*.5)
Short Diagonal AD = Square Root ( 392 - 196)
Short Diagonal AD = Square Root (196)
Short Diagonal AD = 14

Simplify. 5^-1(3^-2) (1 point)

Answers

5^-1x3^-2=1/5x1/3^2=1/5x1/9=1/(5x9)=1/45

Answer:

1/45

Step-by-step explanation:

Solve for x. Express the answer in simplest form.
2/1= 8x-2/9

Answers

First, you put known numbers apart ( numbers without x ) and unknown numbers apart (numbers with x ), and of course don't forget that when you move a number from a part to another, his sign change, So you get:
$(2)/(1) = 8x - (2)/(9)$
$(2)/(1) + (2)/(9) = 8x$

Now, you need to have the same denominator so you can add 2/1 and 2/9. So, you multiply 2/1 by 9, so you get:
$(2*9)/(1*9) + (2)/(9) = 8x$
$(18)/(9) + (2)/(9) = 8x$

Then you add the 2 fractions and you get:
$(20)/(9) = 8x$

Now, you divide each term by 8, so you get:
$( (20)/(9) )/(8) = (8x)/(8)$

in $(8x)/(8)$ , you removed 8 and 8 and you get x, so you get:
$( (20)/(9) )/(8) = x$

as you know, 8 = 8/1, and when you got a division of 2 fractions, you multiply the first by the inverse of the second, which means you get:
$(20)/(9) * (1)/(8) = x$

And now you multiply, so you get:
$(20*1)/(9*8)$
$(20)/(72)$

20 and 72 have a common factor, so you divide each by 4, and you get:
$(20/4)/(72/4)$
$(5)/(18)$

So, $x = (5)/(18)$

Hope this Helps! :D

2/1= 8x-2/9
2= 8x-2/9
18=72x-2
20=72x
x=20/72
x= 5/18

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