Answer:
(x - 8)^2 + (y + 1)^2 = 68
Step-by-step explanation:
The standard form of the equation of the circle with center (8,−1) is :
(x - 8)^2 + (y + 1)^2 = R^2
If the circle passes through the point (6,7) that means that the point (6,7) is a solution of the equation and we can replace (x,y) with (6,7) to find R.
Answer:
1014 cm^2.
Step-by-step explanation:
There are 6 square faces on the cube and each face has area 13^2 = 169 cm^2.
The total area is 169 * 6 = 1.014 cm^2.
Answer:
Length =24m and width = 21m
Step-by-step explanation:
Given,
Area of rectangle, A = 504 m^2
Perimeter of rectangle, P = 90 m
Since we know, A = Length * width and P = 2(Length + width)
So, A = L * w
=> 504 = L*w ------------------(1)
And P = 2(L + w)
=> 90 =2( L + w) ----------------(2)
Plug L =504/w in equation 2
i.e. 90 = 2( 504/w + w)
or 45 = 504/w + w
or 45 = (504 + w^2 ) / w
or 45w = 504 + w^2
or w^2 - 45w + 504 = 0
On solving above quadratic equation we get:
w = 21 or 24
So we take width , w= 21 meter
Then length will be, L =504/21 =24 meter
Hence length and width of rectangle are 24m and 21m respectively.
-b/2a will give you the axis of symmetry.
To find the better buy we have to find the cost per pen for each.
1. 20 pens for $1.60 -> 1.60/20 = .08 cents per pen.
25 pens for $2.25 -> 2.25/25 = .09 cents per pen.
The best buy is 20 pens for $1.60 because it's cheaper per pen.
2. 13 berries for $2.60 -> 2.60/13 = .20 cents per berry
17 berries for $3.06 -> 3.06/17 = .18 cents per berry
The best buy is 17 berries for $3.06 because it's cheaper per berry.
