The first problem
x(x+3)=28
x^2+3x=28
x=4
The second problem
x(x-4)=32
x^2-4x-32=0
x=8
Answer:
(4, -23)
Step-by-step explanation:
We are given;
We are needed to determine the point that lies on the equation;
- We need to know that for a point to be lying on the equation it must satisfy the equation.
- This means when we use the value of x in the equation we should get the exact value of y of the given point;
Point (4, -23)
Replacing x = 4 in the equation;
y = -5(4) - 3
= -23
Therefore, the point lies on the equation as the point satisfies the equation
Thus, the required point is (4, -23)
Answer:
see below
Step-by-step explanation:
AB = DC Given
AO = BO = OD = DC Def. of radii
ΔOAB ≅ ΔOCD SSS
x = 77° CPCTC
Given:
Volume of a sphere is 
times the surface area.
To find:
The surface area and the volume of the sphere.
Solution:
Volume of a sphere:
...(i)
Surface area of a sphere:
...(ii)
Where, r is the radius of the sphere.
Volume of a sphere is times the surface area.
Multiply both sides by 3.
Using (i), the volume of the sphere is:
Using (ii), the surface area of the sphere is:
Therefore, the surface area of the sphere is 9856 sq. units and the volume of the sphere is 91989 cubic units.
