First of all, we know that it's a linear equation, which means it'll have to be y=mx+b.
Identify your points.
(0, 0) and (5, 4).
Now find the slope by doing
m = (y₂ - y₁)/(x₂ - x₁)
m = (4 - 0)/(5 - 0)
m = 4/5
So the slope is 4/5 or 0.8.
Now set the equation up. You have a point and the slope, so use the point-slope equation.
y - y₁ = m(x - x₁)
y - 4 = 4/5(x - 5)
y - 4 = 4/5x - 4
y = 4/5x
So the equation of the line is y=4/5x.
Answer:
x = 0, π/3, π, 5π/3
Step-by-step explanation:
sec(x)sin(x) - 2sin(x) = 0
factor out sin(x)
sin(x)[sec(x) - 2] = 0
then solve by splitting into two parts:
sin(x) = 0 and sec(x) - 2 = 0
x = 0, π and x = π/3, 5π/3 then plug in to original equation to check
Divide both length and width by the dialtion factor and that will be the dimensions of the new rectangle. 2.5714in by 3.4286in. Round as needed
Answer:
66 in
Explanation:
the circumference can be calculated as:
Where d is the diameter and π is 22/7.
So, replacing the values, we get:
Therefore, the circumference is 66 in.
m=-(4+m)+2
m=-4-m+2
m+m=-4+2
2m=-2
m=-2/2
m=-1
