Answer:
Step-by-step explanation:
Given:
Center of circle is at (5, -4).
A point on the circle is 
Equation of a circle with center 
and radius 'r' is given as:
Here, 
Radius of a circle is equal to the distance of point on the circle from the center of the circle and is given using the distance formula for square of the distance as:
Using distance formula for the points (5, -4) and (-3, 2), we get
Therefore, the equation of the circle is:
Now, rewriting it in the form asked in the question, we get
Answer: 6
Step-by-step explanation:
Here's the complete question:
Leah has 8 4/7 meters of cloth, which she divides equally among her friends. Each friend 10/7 gets meters of cloth. She distributed the cloth to ---- friends.
Total length of the cloth = 8 4/7m
Number of friends = Unknown
Amount of length gotten by each friend= 10/7
The number of friends that she shred the cloth among will be:
= Total length of cloth / Length gotten by each friend
= 8 4/7 ÷ 10/7
= 60/7 ÷ 10/7
= 6/7 × 7/10.
= 60/10
= 6.
It was shared among 6 friends
Answer:
Step-by-step explanation:
If complete precision is not needed:
1. Fill the 5 cup container with water.
2. Pour out just enough into the 3 cup container to fill it.
3. The water left in the 5-cup container will measure 2 cups.
4. Estimate half of this two cups of water.
The solutions are:
x = −4,x = 7
Explanation:
X^2−3x−28= 0
We can first factorise this expression by splitting the middle term and then find the solutions:
= x^2−7x+4x−28=0
= x( x−7) + 4( x − 7)=0
=(x+4)(x−7)
Now, we can equate the two factors with zero and find the solutions:
x+4=0,x =−4x−7=0,x=7
