Answer:
x=1
Step-by-step explanation:
you would substitute the first equation in for the y in the second equation
x + 2x+3 =6
then you would combine the x's
3x +3 = 6
Then you would move the 3 to the other side with the six
3x =6-3 3x = 3
Then finally you would divide the three
3x/3 = 3/3 x=1
Answer:
The area the sprinkler sprays with water is 201.06 square feet.
Step-by-step explanation:
Step 1; It is given that the diameter of the circular area of grass that the sprinkler sprays with water is 16 feet. The diameter of a circle is equal twice its radius. So we divide the diameter by 2 to get its radius.
Radius of the circle = Diameter of the circle / 2 = 16 feet / 2 = 8 feet.
Step 2; The area of any given circle is π times the square of the radius. The radius of this circle is equal to 8 feet.
Area of the circle = π × r² = 3.1415 × 8 feet = 201.06 square feet
Answer:
Condition 1: y>0
Condition 2: x+y>-2
Step-by-step explanation:
We are told that we have a set of points in the Cartesian system (i.e. x-y coordinate), so we can define our point as:
We are given two conditions and we want to create a system of inequalities. Now, generally speaking, inequalities are expressions relating mathematical expressions through 'comparison' (i.e. less than, greater than, or less/greater and equal to) usually recognized by 
, 
, 
and 
, respectively.
So in our case let set up our inequalities.
Condition 1: the y-coordinate is positive
This can be mathematically translated as
(i.e. 
is greater than 0, therefore positive)
Condition 2: the sum of the coordinates is more than -2
This can be mathematically translated as
(i.e. the summation of the two coordinates is greater than -2 but not equal to).
The system of inequalities described by the two conditions is:
If y varies directly with x, then the ratio y/x will always be the same. Set it equal to the known values and solve for y.
y/x = -12/6
Cross multiply
6y = -12x
y = -2x
Answer:5,918 divided by 65 is 91.05
Step-by-step explanation:
