For slope m and point (x₁, y₁), the point-slope equation of the line can be written as
y -y₁ = m(x -x₁)
You have m = -4 and (x₁, y₁) = (4, -9), so the equation of your line is
D. y+9 = -4(x-4)
A regular polygon has ten (10) equal sides ( since it is regular).
We are given with the perimeter value which is 100 units and the perimeter formula is P = 10a
Solving for a (the side measurement), we have:
100 = 10a
a= 100/10
a =10
We can now proceed in solving the area and the formula is shown below:
Area = 5/2 a√ (5+2√5)
Area = 5/2 * 10√(5+2√5)
Area = 76.94 square units
The answer is 96.94 square units.
The complete question in the attached figure
Let
x-----------------> number of <span>paintbrushes----------- > $0.95 each
y---------------- > number of jar of paint-------------- > $0.99 each
we know that
0.95x+0.99y = </span><span>$4.87
</span><span>
using a graph tool
</span>the solution will be a pair of coordinates that are whole numbers -- > see the attached figure
<span>
the solution is the point (2,3)
x=2---------------------- > </span>number of paintbrushes
y=3---------------------- > number of jar of paint
the answer is
number of paintbrushes=2
number of jar of paint=3<span>
</span>
Answer:(2;-4)
Step-by-step explanation: