Answer:
units
Step-by-step explanation:
The distance formula is
where
is the distance between points
and
. Let
and
, thus:

Therefore, the distance between points P(5,1) and Q(3,4) is
units.
Answer:
538
Step-by-step explanation:
if you round the hundreth place up, the tenth place would be 1. However, rounding that would give you 0 as it's less than 5. Therefore, all decimal places would become 0, and that only leaves 538.
Answer:
The youngest child will receive $2000
Step-by-step explanation:
A father decided to give 25% of his monthly income to his three children as their monthly allowance.
The eldest child got 45% of the allowance and the youngest got 20%. This means that the second child got:
100 - (45 + 20) = 100 - 65 = 35%
The second child received $3500.
Let the 25% of his monthly income be x.
Hence:
35% of x = 3500
=> 

x = $10000
The amount the man shared among his children is $10000.
Hence, the youngest child (20%) will receive:
20% of $10000

= $2000
The youngest child will receive $2000.
1. You have that the circle that defines the part of the planter wall which gets watered by the sprinkler is: (x−10)²+(y+12)²<span>=36.
2. The standard form for the equation of a circle is:
(x-h)</span>²+(y-k)²=r²
(h,k) is the center point.
r is the radius.
3. Keeping this on mind, you can find the value of the radius, as below:
r²=36
r=√36
r=6 m
4. Then, the diameter of the circle is:
D=2r
D=2(6m)
D=12 m
<span>
What is the diameter, in meters, of the circular area that gets watered by the sprinkler?</span>
The answer is: 12 m