Hey there! :D
We are basically trying to find fractions that equal each other.
3/12= 1/4 4/16= 1/4
The first option applies.
5/8= 5/8 (simplest form) 8/15= 8/15 (simplest form)
The second does not apply.
1/6= 1/6 (simplest form) 5/30= 1/6
The third option does apply.
18/12= 3/2 3/2=3/2 (simplest form)
The fourth option does apply.
The first, third, and fourth option are the answers.
I hope this helps!
~kaikers
Answer:
7/4
Step-by-step explanation:
As multiplying 4/7 by 7/4 give 28/28 which is equivalent to 1.
The answer is true to all of them.
To find the product of (4x-5y)^2,
we can rewrite the problem as:
(4x-5y)(4x-5y) (two times because it is squared)
Now, time to use that old method we learned in middle school:
FOIL. (Firsts, Outers, Inners, and Lasts)
FOIL can help us greatly in this scenario.
Let's start by multiplying the 'Firsts' together:
4x * 4x = <em>16x^2</em>
Now, lets to the 'Outers':
4x * -5y = <em>-20xy</em>
Next, we can multiply the 'Inners':
-5y * 4x = <em>-20xy</em>
Finally, let's do the 'Lasts':
-5y * -5y = <em>25y</em>^2
Now, we can take the products of these equations from FOIL and combine like terms. We have: 16x^2, -20xy, -20xy, and 25y^2.
-20xy and -20xy make -40xy.
The final equation (product of (4x-5y)^2) is:
16x^2 - 40xy + 25y^2
Hope I helped! If any of my math is wrong, please report and let me know!
Have a good one.
The answer is 4 inches. This is because the scale is 1 inch=3 feet. And when doing 12ft divided by 3ft you get 4. The 4 then represents 4 inches. Hope it helps :)