<span>1- What is the distance formula?
distance = </span>√(x2-x1)² + (y2-y1)²<span>
2- plug in the correct values from the problem, write the diatance formula with substituted values
</span>distance = √(4-(-3))² + (-6-5)²
<span>
3- simplify the expression, what is the distance between the two points?
distance = </span>√170 = 13.04
Answer:
Person A paints the house in 12 days.
person B paints the house in 60 days.
Step-by-step explanation:
The together rate is the sum of each separate rate.
Person A can paint the neighbor's house 5 times as fast as Person B.
This means that the rate of person A is 1/x, and the rate of person B is 1/5x.
The year A and B worked together, it took them 10 days.
This means that:

Multiplying everything by 10x


This means that:
Person A paints the house in 12 days.
person B paints the house in 60 days.
A: The center is the mid point of the diameter. So, the center of the circle will be the midpoint of points P and Q. The coordinates of the midpoint are the averaged coordinates of the endpoints.
So, the x-cooardinate of the center is the average of the x-coordinates of P and Q:

Try to do the same thing with the y coordinates, and you'll get the y-coordinate
. This first part will be over, because the circle will be point

B: The radius is exactly half the diameter. So, we find the length of the diameter, and we divide it by 2. To find the length of the diameter, we use the standard formula for the distance between two points:

Divide this length by 2 and you'll get the radius.
C: At this point, we have both the radius and the coordinates of the center. The equation of the circle depends on these two parameters, and it is

Substitute
and
with the coordinates of the center (found in point A.) and
with the radius (found in point B.) and you'll have the equation of the circle.
Answer:
3636 hours
Step-by-step explanation:
The calculation of duration of baby sloth sleep is shown below:-
A three-toes sloth usually sleeps is
= 101 hours per week.
Number of week is
= 36
Since we need to compute the duration of baby sloth's sleep so we need to multiply the number of weeks with number of hours per week
Therefore,
The duration of baby sloth's sleep in 36 weeks
= 36 x 101
= 3636 hours