Hello,
5x²+5y²-20x+30y+40=0
==>x²+y²-4x+6y+8=0 (divided by 5)
==>(x²-2*2x+4)+(y²+2*3y+9)+8-4-9=0
==>(x-2)²+(y+3)²=5
Center (2,-3)
Radius= √5≈2.2360...
Answer:
<h2><u>STEPS</u></h2>
-
Step I: Obtain the given number.
- Step II: Resolve the given number into prime factors by successive division.
- Step III: Make pairs of prime factors such that both the factors in each pair are equal. Since the number is a perfect square, you will be able to make an exact number of pairs of prime factors.
- Step IV: Take one factor from each pair.
- Step V: Find the product of factors obtained in step IV.
- Step VI: The product obtained in step V is the required square root.
<h2><u>Example </u></h2>
<u>
Find the square root of 324</u>
- 324 = 2 x 162
- = 2 x 2 x 81
- = 2 x 2 x 3 x 27
- = 2 x 2 x 3 x 3 x 9
- = 2 x 2 x 3 x 3 x 3 x 3
- ∴ √324 = √( 2 x 2 x 3 x 3 x 3 x 3 )
- √324 = 2 x 3 x 3
- √324 = 18
Answer:
x-intercept(s):
(
4/
3
,
0
)
y-intercept(s):
(
0
, −
4
/5
)
Step-by-step explanation:
Answer:
x > or = 20
Step-by-step explanation:
$375x > or = $7500
----------- -----------
$375 $375
----------------------------------
x > or = $20
