How do you factorise 9y^2 - 64

Answers

Answer 1

Answer: Simplifying 9y2 + -64
Reorder the terms: -64 + 9y2

Factor a difference between two squares. (8 + 3y)(-8 + 3y)

Final result:
(8 + 3y)(-8 + 3y)

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There are 5/6 as many black pants as blue pants in george's closet. There are 5/9 as many black pants as brown pants in his closet. What is the ratio of the number black pants to the total number of pants in his closet?

Answers

Answer is the ratio 1 : 4

Work Shown

x = number of black pants

y = number of blue pants

z = number of brown pants

x = (5/6)y

x = (5/9)z

z = (9/5)x

x+y+z = total number of pants

x+y+z = (5/6)y + y + (9/5)x

x+y+z = (5/6)y+y+(9/5)*(5/6)y

x+y+z = (5/6)y+y+(3/2)y

x+y+z = (5/6)y+(6/6)y+(9/6)y

x+y+z = ( (5+6+9)/6 )y

x+y+z = (20/6)y

x+y+z = (10/3)y

numberOfBlackPants : Total

(5/6)y : (10/3)y

6*(5/6)y : 6*(10/3)y

5y : 20y

5 : 20

1 : 4

The ratio of the number of black pants to the total number is 1 : 4

It means the total is 4 times that of the number of black pants.

Rewrite the rational expression as an equivalent rational expression so that all expressions have a common denominator. 3/5,9/10,7/15,7/21

Answers

Answer:

126/210, 189/210, 98/210, 70/210

Step-by-step explanation:

find the lowest common multiple

of 5,10,15 and 21=210

42*3, 21*9, 14*7, 10*7

126/210, 189/210, 98/210, 70/210

Divide(6a^4+2a^3) divide 2a
A) 3a^3+a^2
b)3a^4+a^3+2a
c)3a^2+2a^3
d)3a^4+a^3-2a

Answers

If you would like to solve (6 * a^4 + 2 * a^3) / (2*a), you can do this using the following steps:

(6 * a^4 + 2 * a^3) / (2*a) = (3 * a^4 + a^3) / a = 3 * a^3 + a^2

The correct result would be A) 3 * a^3 + a^2.

Create a real world right triangle in your notebook.

Answer this ASAP

Answers

-- Draw a line, any length.
-- Draw another line, any length, that makes a square corner with the first one.
- Connect the open ends of the two lines to each other.
-- Bada-bing ! You have a right triangle. And it's in YOUR notebook.

Determine the smallest integer value of x in the solution of the following inequality.4x – 1 > 18

Answers

Answer:

x = 5

Step-by-step explanation:

You need to find de value of x.

4x - 1 = 18

4x = 18 + 1

4x = 19

x = 19/4

x = 4,75 but, the questions says: smallest integer value, so, the smallest is the integer number more near of 4,75, which is 5.

testing:

x = 5

4*5 - 1 > 18

20 -1 > 18

19 > 18 TRUE

x = 4

4*4 - 1 > 18

16 - 1 > 18

15 > 18 FALSE

Simplify (b^(9))/(b^(11)) and write answer using only positive exponents

Answers

Answer:

1/(b^2)

Step-by-step explanation:

using exponential rules, we know that the problem can be simplfied by subtracting the exponents

b^(11-9)

b^(-2)

which then just simplifies to

1/(b^2)

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