Answer:
p = 6, q = - 1
Step-by-step explanation:
Using the rules of exponents
×
=
,
= 
Given
xy = 32 , tat is
×
= 
Since the bases on both sides are equal, equate the exponents
p + q = 5 → (1)
Also
2xy² = 32 ( divide both sides by 2 )
xy² = 16 , that is
×
= 16
×
=
, then p + 2q = 4 → (2)
Thus
p + q = 5 → (1)
p + 2q = 4 → (2)
Subtract (1) from (2) term by term
q = - 1
Substitute q = - 1 into (1) for corresponding value of p
p - 1 = 5 ( add 1 to both sides )
p = 6
Answer: perimeter is 14 units
Explanation:
You could use the distance formula to find the lengths of segments AB, BC, CD, and DA; or you could graph rectangle ABCD and note that you can count out the spaces to find the lengths of each side. Option 2 is easier in my opinion. Check out the diagram below. The horizontal portion is 2 units and the vertical part is 5
perimeter = 2*(length+width)
perimeter = 2*(5+2)
perimeter = 2*7
perimeter = 14
Step-by-step explanation:
<h2><u>Given :</u></h2><h2 />
- Lateral Surface Area of Cube = 324 cm²

<h2><u>To Find :</u></h2>
- Total Surface Area of the Cube = ?

<h2><u>Solution :</u></h2>
<u>~ Formula U</u><u>s</u><u>e</u><u>d</u><u> :</u>




<u>~ Calculating the Side :</u>







<u>~ Calculating the</u><u> </u><u> Volume :</u>

<u>~ Calculating the</u><u> Total Surface Area :</u>


<h2><u>Therefore :</u></h2>
- ❝ Volume of the Cube is 729 cm³ and it's Total Surface Area is 486 cm² .❞

If the length of the rectangle is y then the width is y-13