Example:
4 ÷ 2 = 2 but 2 ÷ 4 = 0.5
In general a ÷ b ≠ b ÷ a, then division is not commutative
Answer:
−2(3x+12y−5−17x−16y+4)
=(−2)(3x+12y+−5+−17x+−16y+4)
=(−2)(3x)+(−2)(12y)+(−2)(−5)+(−2)(−17x)+(−2)(−16y)+(−2)(4)
=−6x−24y+10+34x+32y−8
=28x+8y+2
<h2>
(~ ̄▽ ̄)~ -Have a wonderful day-</h2>
To check which ordered pair (point) is in the solution set of the system of given linear inequalities y>x, y<x+1; we just need to plug given points into both inequalities and check if that point satisfies both inequalities or not. If any point satisfies both inequalities then that point will be in solution.
I will show you calculation for (5,-2)
plug into y>x
-2>5
which is clearly false.
plug into y<x+1
-2<5+1
or -2<6
which is also false.
hence (5,-2) is not in the solution.
Same way if you test all the given points then you will find that none of the given points are satisfying both inequalities.
Hence answer will be "No Solution from given choices".
Your drawing was much more helpful and informative than your statements in words and symbols.
I see that you want to evaluate (3/2)^2 times (8/15)^2.
You could combine these two expressions into one, as follows:
3*8
( ----------- )^2
2*15
This, in turn, can be simplified by reduction:
( 4/5 )^2. Expanded, this result gives us 16/25.
Next problem
----------------------------
( 9/4 )^4 * ( 4/3 )^3
9^4 4^3
First, focus on ( ------- ) * ( ----------- )
4^4 3^3
Now reduce 4^3 / 4^4: The end result is 1/4.
Reduce 9^4 / 3^3. To do this, rewrite that 9 as (3^2), resulting in:
3^8 / 3^3. The end result is 3^5.
Putting this expression back together, we get 3^5 / 4 (answer)
<u>Answer:</u>
If Matthew knows the volume of a rectangular prism then the height of the prism is 6 meters.
<u>Solution:</u>
Given, Matthew knows the volume of a rectangular prism is 132
And the area of the base is 22
We have to find what is the height?
Now, we know that,
volume of the rectangular prism = area of the base of the prism height of the prism.
So, substitute the given information in the above formula.
132 = 22 height of the prism.
Height of the prism =
Hence height of the prism is 6 meters.