Given:
The given equation is
To find:
All the real solutions.
Solution:
We have,
It can be written as
Using zero product property, we get
and 
and 
and 
We know that is an imaginary number because there is a negative sign under the square root.
Therefore, is the only real solution of the given equation.
Answer:
y = 4x - 12
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = 
with (x₁, y₁ ) = E(4, 4) and (x₂, y₂ ) = F(2, - 4)
m = 
= 
= 4 , then
y = 4x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (4, 4), then
4 = 16 + c ⇒ c = 4 - 16 = - 12
y = 4x - 12 ← equation of line
Answer:
the Total cost= 1,200,000*number of states
Step-by-step explanation:
Given the cost of each home is $80,000
The number of homes per state are 15
The Total cost of the project is = (Total number of houses per state) * (cost of each house) * (the number of states).
Therefore the total cost =15*80000*Number of states.=1,200,000*number of states
Step-by-step explanation:
a square has the same perimeter as a 5cm by 7cm rectangle. which of the following area of the square
y = mx + b
m = slope and b = y-intercept
We can arrange 6y = x - 12 in the form of y = mx + b
6y = x - 12
y = 1/6(x) - 2
Slope of y = 1/6(x) - 2 is 1/6. Taking the negative reciprocal of the slope we get the slope for the perpendicular line.
Negative reciprocal of 1/6 is -6.
The equation for the perpendicular line is
y = -6x + b
To find b we can plug in the x and y values of (4,-4) into it since it passes through those coordinates
-4 = -6(4) + b
b = -4 + 6(4)
b = -4 + 24
b = 20
So the equation for the perpendicular line is y = -6x + 20
