MATHEMATICS HIGH SCHOOL

Match each expression with its simplified form.1. a/(a^2-4)+2/(3a+6)
2.5/a+7
3.a/ab-3/b
4.6/ab+8/a
5.3a/4b^2-b/6a

Answers

Answer 1
Answer: (a)/(a^2-4)+(2)/(3a+6) = (a)/((a-2)(a+2)) + (2)/(3(a+2)) = \n\n(3a)/(3(a-2)(a+2))+(2(a-2))/(3(a+2)(a-2)) = \n\n(3a+2a-4)/(3(a^2-4)) = (5a-4)/(3a^2-12)

(5)/(a)+7 = (5)/(a)+(7a)/(a) = (7a+5)/(a)\n\n\n(a)/(ab)-(3)/(b) = (1)/(b) -(3)/(b) = (1-3)/(b) = -(2)/(b)\n\n(6)/(ab)+(8)/(a) = (6)/(ab)+(8b)/(ab) = (6+8b)/(ab)\n\n(3a)/(4b^2) - (b)/(6a) = (9a^2)/(12ab^2) - (2b^3)/(12ab^2) = (9a^2-2b^3)/(12ab^2)

Related Questions

Which is NOT a major expense category?housing transportation electricity food
Simplify: (5) - (+8)
There are 20 cards labeled from 1 to 20 in a bag. A card is randomly selected from the bag.What is the probability of getting an even number or a 1?9/2011/201/23/5
1. How can this model be used to determine 2.3−0.26 ?Enter your answers in the boxes (picture included)The model shows a total of 2 wholes and 3 tenths. After regrouping 1 tenth into 10 hundredths, there are 2 wholes, ____ tenths, and ____ hundredths. After crossing out 2 tenths and 6 hundredths, there are 2 wholes, ____ tenths, and ___ hundredths remaining. Therefore, the difference of 2.3 and 0.26 is ____2. Yasmine estimated the difference of 87.71 and 5.8 by rounding each number to the nearest whole.What was Yasmine's estimate, and what is the actual difference of the numbers?Enter your answers in the boxes.Yasmine estimated the difference to be ___. The actual difference is __..
What is the missing value for blank x1/10 =0.026

Where on a coordinate graph are the first numbers before the dashes located?

The coordinates in parenthesis are the answer choices. Where do they go?

Example on how to position your answers: (1, 1) and (0, 0) = 1 (Just an example, this is not a correct answer.)

8
4
10
12
Square root of 41
Square root of 68
Square root of 2
Square root of 50
-------------------------
(-10, 2) and (-2, 2)
(-3, -1) and (5, 1)
(-3, -2) and (1, 3)
(-3, -5) and (-2, -4)
(0, 0) and (5, 5)
(1, 2) and (1, -10)
(1, 2) and (5, 2)
(2, 3) and (10, 9)

Explain your answers thoroughly, please. Thank you! :D
Will pick Brainliest!

Answers

basiclly, we look at the 2 points below and find the distance between them, then we match

d=\sqrt{( x_(2) -x_(1) )^(2)+( y_(2)-y_(1) )^(2)}
when finding the distance between points (x1,y1) and (x2,y2)

if the x values, or y values are same, you don't need the distance formula, just use logic

(-10, 2) and (-2, 2)
the y value is the same so find the distance between the x values
from -10 to -2 is 8
8 matches with this one


(-3, -1) and (5, 1)
use distance formula
d=\sqrt{( 5-(-3) )^(2)+( 1-(-1) )^(2)}=√68


(-3, -2) and (1, 3)
input
d=\sqrt{( 1-(-3) )^(2)+(3-(-2))^(2)}=√41

(-3, -5) and (-2, -4)
input
d=\sqrt{( -2-(-3) )^(2)+( -4-(-5) )^(2)}=√2

(0, 0) and (5, 5)
input
d=\sqrt{( 5-0 )^(2)+( 5-0 )^(2)}=√50


(1, 2) and (1, -10)
x values are same so find distance between 2 and -10
answer is 12

(1, 2) and (5, 2)
y values are same
find distance between 1 and 5
answe ris 4


(2, 3) and (10, 9)
input
d=\sqrt{( 10-2 )^(2)+(9-3)^(2)}=10





ANSWERS (because the spacing has gone wierd)                                                           
(-10, 2) and (-2, 2)=8           
(-3, -1) and (5, 1)=√68             
(-3, -2) and (1, 3)=√41                       
(-3, -5) and (-2, -4)=√2             
(0, 0) and (5, 5)=√50             
(1, 2) and (1, -10)=12             
(1, 2) and (5, 2)=4               
(2, 3) and (10, 9)=10 

Use Gauss-Jordan elimination to solve the following system of linear equations x_1+x_2 3-x_3 + 3x_4 = 2 -2x_1 - x_2+5x_3-5x_4=-4 2x_1-4x_3 + 4x_4 = 4 -x_1-6x_2+8x_38x_4 = -2

Answers

Answer:

Apologies, but it seems like there is missing information in the equation you provided after "+ 3x_4". Could you please provide the complete equation or check and confirm the correctness of the input?

(x-4)^2+12(x-4)+20=0

Answers

Answer:

x=2 or x=−6

Step-by-step explanation:

Which expression is equivalent to 15 + 6x?

Answers

Answer:

Step-by-step explanation:

The expression 15 + 6x can be simplified further. The term 15 is a constant because it does not contain a variable. On the other hand, 6x is a variable term because it contains the variable x.

To simplify the expression, you can combine like terms by adding or subtracting the coefficients of the variable terms. In this case, you can't combine 15 and 6x because they are not like terms.

Therefore, the expression 15 + 6x is already simplified and does not have an equivalent expression. It represents the sum of 15 and 6 times x.

Over two summers, Ray saved $900 and $500. The polynomial 900x2 + 500x represents his savings at the beginning of the third year, where x is the growth factor. (The interest rate r is x - 1.) What is the interest rate he needs to start the third year with $1600 in savings? A. 0.1% B. 1.1% C. 8.4% D. 264%

Answers

c. is the correct answer

Dianna has 7 quarters, 3 dimes, and 8 nickels in her purse. She reaches into her purse and randomly grabs two coins. What is the probability that Dianna grabs a dime first and then a nickel?

Answers

There are 18 coins total in her bag:

7+3+8=18coins

3 of the 18 coins are dimes, so the odds of first drawing a dime are 3/18

P(dime)=3/18

Since the nickel was taken out and not replaced, there are now 17 coins in her purse.

18-1=17coins

8 of the 17 remaining coins are nickels, so the odds of drawing a nickel are 8/17.

P(nickel)=8/17


Now we multiply the two probabilities by eachother to find out the odds of both occurring...


P(dime)*P(nickel)=

3/18*8/17=24/306=8/103=0.078=8%

The probability of grabbing a dime and then a nickel are 8/103 or 0.078 or an 8% chance, whichever way you'd prefer to write it.
Other Questions
A picture frame 4 inches wide by 6.5 inches high has a 3 inch by 5 inch photograph place in the center. What is the area of the frame?
Jackie is making flower arrangements. She has 2 roses and 4 daisies. If Jackie wants to make all the arrangements identical and have no flowers left over, what is the greatest number of flower arrangements she can make?help<3
Solve this equation: –9h – 6 + 12h + 40 = 22.
Miss Christina deposits her monthly salary $9000 in a bank which pays 7% interest compounded half yearly.How much will she get after 10 years? A.)18,122 B.)18,014 C.)17,908 D.)17,704