1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
noname [10]
3 years ago
13

Hey, i need help with these (image attached)

Mathematics
1 answer:
Ilya [14]3 years ago
7 0

Answer:

1. (3/5a^3b -5/6ab^3)^2

2. (x/3 +y/5)^2

Step-by-step explanation:

As you know, the square of a binomial expands like this:

(p +q)^2 = p^2 +2pq +q^2

The two "end" terms of the expansion are the squares of the terms of the binomial, and the middle term of the expansion is twice the product of the binomial terms (with the same sign as the binomial).

So, you can work this by ...

• check to see if the "end" terms are perfect squares. If they are, write the binomial as their sum, with the sign of the middle term

• check to see if the middlt term is double the product of the two binomial terms you just wrote. If it is, complete the problem by indicating the square of that binomial.

___

1. The square root of 9/25a^6b^2 is 3/5a^3b, so that will be one term of the binomial.

The square root of 25/36a^2b^6 is 5/6ab^3, so that will be the other term of the binomial. The sign of the middle term -a^4b^4 is negative, so our binomial is ...

(3/5a^3b -5/6ab^3)

The product of these two terms is (-1/2)a^4b^4, and the given middle term is twice that. The given trinomial is the square ...

9/25a^6b^2 -a^4b^4 +25/36a^2b^6 = (3/5a^3b -5/6ab^3)^2

___

2. The square root of 1/9x^2 is x/3. The square root of 1/25y^2 is y/5. The middle term, 2/15xy, is double the product of these terms, so the expression is the square ...

1/9x^2 +2/15xy +1/25y^2 = (x/3 +y/5)^2

You might be interested in
Question:
Flauer [41]

17 spaces. Just jump from each space to the next until you get to (-5,-4). :) hope it helps.

8 0
3 years ago
$8000 at 3% annually for 4 years
Nonamiya [84]
Here's the equation for one year:
0.03(8000) + 8000
For four years:
4(0.03(8000)) + 8000
0.12(8000) + 8000
To make it simpler/smaller:
1.12(8000) = 8960
You can make 960 more dollars, and you now have $8960 
7 0
3 years ago
If b is between a and c then ab+bc=ac
erma4kov [3.2K]
That's false. Take the numbers 1, 3, and 5.
Let a = 1, b = 3, and c = 5.
ab + bc = ac
3 + 15 = 5
18 ≠ 5
Since 18 does not equal 5, this is false. If you were to use the distributive property on ab + bc = ac, you would get
b(a+c) = ac, which doesn't even make sense.
Have a nice day! :)
3 0
3 years ago
) the top and bottom margins of a poster are 4 cm and the side margins are each 5 cm. if the area of printed material on the pos
grin007 [14]
If x represents the width of the poster (including borders), the area of the finished poster can be written as
.. a = x*(390/(x -10) +8)
.. = 8x +390 +3900/(x -10)

Then the derivative with respect to x is
.. da/dx = 8 -3900/(x -10)^2
This is zero at the minimum area, where
.. x = √(3900/8) +10 ≈ 32.08 . . . . cm
The height is then
.. 390/(x -10) +8 = 8 +2√78 ≈ 25.66 . . . . cm

The poster with the smallest area is 32.08 cm wide by 25.66 cm tall.

_____
In these "border" problems, the smallest area will have the same overall dimension ratio that the borders have. Here, the poster is 10/8 = 1.25 times as wide as it is high.
8 0
3 years ago
Consider the numbers 4/15 and 3/10 (a) Compare the numbers. (B) find a fraction between the two given numbers
valentinak56 [21]
As a decimal 4/15 = 0.2666667
As a decimal 3/10 = 0.3 [talk about close]
3/10 is bigger.

You could take an average to find something between 4/15 and 3/10
1/2(4/15 + 2/10)
1/2(8/30 + 6/30)
1/2(14/30)
1/2(7/15)
7/30 is between the two given numbers..
5 0
3 years ago
Other questions:
  • in a long jump competetion wendy jumped 9/10 meters and judy jumped 10/9 meters. draw a number line to model the distance of eac
    7·2 answers
  • Can someone show me the work for the problem 6x-9y=-2i am trying to put the problem in slope-intercept form
    14·1 answer
  • 78.2 divided by 0.2 =
    15·1 answer
  • Independent random samples of students were taken from two high schools, R and S, and the proportion of students who drive to sc
    12·1 answer
  • Solve the following system of equations and show all work.<br><br> y = 2x2<br> y = −3x −1
    14·1 answer
  • 8. If you were going to use the quadratic formula to solve the following equation and a = 9, what number would you use as the va
    5·1 answer
  • Can somebody help me please
    5·1 answer
  • The game Super Sherman Brothers cost $15 to make. It is then marked
    11·1 answer
  • Geometry, please answer question ASAP
    8·1 answer
  • Free Promo Moneybag Yo - Fire?
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!