Answer:
15x-36
Step-by-step explanation:
Weight is another term for the force from mass multiplied by acceleration due to gravity, the equation being expressed as

, being force, mass, and acceleration respectively.
We already have 2 parts of the equation,
Acceleration due to gravity on the planet is

Plug it into the equation


x

Weight or force from gravity is 60N.
To solve this, we are going to use the surface are of a sphere formula:

where

is the surface area of the sphere

is the radius of the sphere
We know for our problem that

and

, so lets replace those vales in our formula:



Now, we just need to solve our equation for

:





or

Since the radius of a sphere cannot be a negative number,

.
We can conclude that the radius of a sphere with surface area <span>2,122.64 </span>

is
13 in.
75% of of the number 124 is 93
Answer:
x = 2.5 or -0.8
Step-by-step explanation:
Here, we are to use completing the square method to solve for the values of x
Firstly, we divide through by 4
= x^2 -7/4x -2 = 0
Now, we move the two term to the right hand side
x^2 -7/4x = 2
Now, we divide the coefficient of x by 2 and square it;
That would be;
(-7/4 * 1/2)^2 = 49/64
we now add this value to both sides of the equation
x^2 -7/4x + 49/64 = 2 + 49/64
The right hand side can be rewritten as;
(x-7/8)^2 = 177/64
taking the square root of both sides
x-7/8 = √(177/64)
x = 7/8 ± √(177/64)
x = 7/8 + √(177/74) or 7/8 - √(177/64)
= x = 2.53802 or -0.788017
Which to the nearest tenth is
x = 2.5 or -0.8