Answer:
The length of the rectangle is of 9 units.
Step-by-step explanation:
Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
.
This polynomial has roots 
such that 
, given by the following formulas:
Area of a rectangle:
A rectangle has width 
and length 
. The area is the multiplication of these measures, that is:
The length of a rectangle is the sum of the width and one.
This means that 
, or 
The area direct angle 72 units. What’s the length, in units, of the rectangle
We want to find the length. So
Quadratic equation with 
. So
Since the length is a positive measure, the length of the rectangle is of 9 units.
Answer:
= -14x
Step-by-step explanation:
Since the equation is saying to subtract 10x, we are going to change the minus sign to a addition sign and change positive 10 to negative and continue the rest.
Answer: 2/3πx³
Step-by-step explanation:
Let the radius of the cone be represented by x.
Since the height of the cone is twice the radius of its base, the height will be: = 2x
Volume of a cone = 1/3πr²h
where,
r = x
h = 2x
Volume of a cone = 1/3πr²h
= 1/3 × π × x² × 2x
= 1/3 × π × x² × 2x
= 1/3 × π × 2x³
= 2/3πx³
Therefore, the correct answer is 2/3πx³.
Answer:
Point B
Step-by-step explanation:
Lines given:
- y= 2/5x - 1/2
- y= -1/3x +2/3
x coordinate of intersection of given lines is:
- 2/5x - 1/2= -1/3x+2/3
- 2/5x+1/3x= 2/3 +1/2
- 6/15x+5/15x= 4/6+3/6
- 11/15x=7/6
- x= 7*15/11*6
- x= 35/22
For this value of x, the value of y is:
- y= 2/5*35/22 - 1/2
- y=14/22- 1/2
- y= 3/22
As per graph point (35/22, 3/22) is point B
