Answer:
Equation of the circle =
80 = ( x - 1)^2 + (y + 1)^2
Step-by-step explanation:
Center = (1 , -1)
Point = ( 5 , 7)
Eqn of a circle is
r^2 = (x - h)^2 + (y - k)^2
We are not given the radius of the circle, fortunately we are provided the information that the circle contains a point ( 5, 7), so we use the above information to find r
Using the center (1, -1)
h - 1
k - -1
r^2 = (x - 1)^2 + ( y - -1)^2
r^2 = (x - 1)^2 + (y + 1)^2
With the point ( 5,7)
x = 5
y = 7
r^2 = ( 5 - 1)^2 + ( 7 + 1)^2
= 4^2 + 8^2
= 16 + 64
= 80
r^2 = 80
r = square root of 80
r = 8.94
The r = 8.94 , which means the equation of the circle is
80 = (x - 1)^2 + ( y + 1)^2
22.5 i think but i have no idea good luck
1195 boxes are needed to ship all the tables
<em><u>Solution:</u></em>
Given that, furniture store received an order for 8,367 tables
They can fit 7 tables in the lower shipping box
To find: Number of shipping boxes needed to ship all the tables
From given,
Total number of tables = 8367
Number of tables fit in one shipping box = 7
Thus, we can find the number of shipping boxes needed to ship all the tables by dividing total number of tables by number of tables fit in one shipping box

Substituting the values we get,

Thus 1195 boxes are needed to ship all the tables