5xy+x-8+13x+2=
Combine like terms
5xy+14x-6
Answer: X+Y+5
Step-by-step explanation:
There is no single answer you have to write an equation.
Answer:
Rectangular area
side a = 3 units
side b = 2.60 units
Step-by-step explanation: See annex
We have an equilateral triangle (3 equal sides, three equal inside angles)
side length = 6
∠ ABC = ∠BCA = ∠CAB = 60⁰
tan 60⁰ = sin 60⁰/cos 60⁰ = √3/2 / 1/2
tan 60⁰ = √3
From annex
tan ∠ ABC = √3 = b/x then b = √3 * x
and a = 6 - 2*x ( by symmetry)
Then
A = a*b
A(x) = ( 6 - 2*x ) * √3 *x
A(x) = 6*√3 *x - 2*√3 *x²
Taking derivatives on both sides of the equation we get:
A´(x) = 6*√3 - 4*√3 *x ⇒ A´(x) = 0 ⇒ 6*√3 - 4*√3 *x = 0
x = 6/4 ⇒ x = 1.5
then a = 6 - 2*x ⇒ a = 6 - 3 ⇒ a = 3 (units)
and b = √3*x = 1.5 *√3 = 2.60 units
We get a rectangle (almost a square)
0 because as far as I can see there aren't any purple marbles, correct?
