Answer:
parallel refers to two equidistant lines, Because the lines are equally distant, they have the same slope and the angle between them is zero. On the other hand, when two lines intersect at a right angle, they are called perpendicular.
Step-by-step explanation:
Which TWO expressions are equivalent to<em> </em><em>(x - y) </em>2/3 - 3/4 <em>(y-x)</em>
Answer:
20.31 units to the nearest hundredth.
Step-by-step explanation:
We need to use the distance formula between the points and find their sum.
D1 = √((2-2^2 + (1+3)^2) = √16 = 4
D2 = √(-1-2)^2 + (3-1)^2) = √13
D3 = √(-3+1)^2 + (0-3)^2) = √13
D4 = √(-3+3)^2 + (-4)^2) = √16 = 4.
D5 = √(-3-2)^2 + (-4+3)^2) = √26.
Perimeter = D1+D2+D3+D4+D5
= 4+√13+√13 + 4 +√26
= 20.31 units.
Answer:
Dimensions of cabinet
x (wide) = 1.93 ft
y (hight) = 2.895 ft
p (depth) =0.43 ft
Step-by-step explanation:
Dimensions of cabinet
y height
x wide
p deph
From problem statement
y = 1.5 x V = y * x * p V = 1.5*x²p but p = V/y*x p = 2.4/1.5 x²
p = 1.6 / x²
Then
Area of top and bottom A₁ = 2*x*p ⇒ 2*x*1.6/x²
A₁ = 3.2 /x
And cost in $ C₁ = 0,9 * 3.2 /x ⇒ C₁ = 2.88/x
Area of sides (front and rear not included)
A₂ = 2*y *p A₂ = 3*x*1.6/x² A₂ = 4.8/x
And cost in $ C₂ = 0.9 * 4.8 /x C₂ = 4.32 /x
Area of front and rear A₃ =2* y*x A₃ = 2*1.5 *x² A₃ = 3x²
And cost C₃ = 0.3 * 3/x² = 0.9/x²
Total cost C(x) = C₁ + C₂ + C₃ C(x) = 2.88/x + 4.32/x + 0.9x²
Taking derivatives
C´(x) = -2.88/x² - 4.32 /x² + 0.9 x
C´(x) = 0 -2.88/x² - 4.32/x² + 0.9 x = 0 -2.88 - 4.32 + 0.9 x³ = 0
-7.2 + x³ = 0 x³ = 7.2
x = 1.93 ft y = 1.5*1.93 = 2.895 ft and p = 0.43 ft
(x - h) 2<span> + (y - k) 2</span><span> = r2,</span><span> is the standard equation of a circle</span>
