Answer:
Option 1
Step-by-step explanation:
The formula of constant porpotionality is

or

where k is the constant of porpotionality.
This equation is direct variation so we will use

The equation is in the form

1.5 is in k place so the constant of porpotionality is 1.5
9514 1404 393
Answer:
(x +3)² +(y -4)² = 145
Step-by-step explanation:
The center of the circle is the midpoint of the given segment PQ. If we call that point A, then ...
A = (P +Q)/2
A = ((-12, -4) +(6, 12))/2 = (-12+6, -4+12)/2 = (-6, 8)/2
A = (-3, 4)
The equation of the circle for some radius r is ...
(x -(-3))² +(y -4)² = r² . . . . . . where (-3, 4) is the center of the circle
The value of r² can be found by substituting either of the points on the circle. If we use Q, then we have ...
(6 +3)² +(12 -4)² = r² = 9² +8²
r² = 81 +64 = 145
Then the equation of the circle is ...
(x +3)² +(y -4)² = 145
Answer:
<h2>
The interest ethan will pay is $164.25</h2>
Step-by-step explanation:
To calculate the interest paid by ethan on the borrowed bike using the formula.
Simple Interest = Principal * rate * time/100
Principal = $2,190, rate = 2.5%, time = 3years
On substitution
SI = 

The interest ethan will pay is $164.25
<span>Let n = the number of pages not read
Then the number of pages read = n/4 + 3
Since the total number of pages is 193, we have
n + n/4 + 3 = 193
5n/4 = 190
n = 152
At 8 pages per day it will take 152 pages/ 8 pages/day = 19 days
</span>
Answer:
1-5/6 is 1/6
Step-by-step explanation:
say you have 1 pie, It is sliced into 6 pieces and you take 5, only 1 would be left. (hope this helps Good luck ;))