Answer:
x = 2 cm
y = 2 cm
A(max) = 4 cm²
Step-by-step explanation: See Annex
The right isosceles triangle has two 45° angles and the right angle.
tan 45° = 1 = x / 4 - y or x = 4 - y y = 4 - x
A(r) = x* y
Area of the rectangle as a function of x
A(x) = x * ( 4 - x ) A(x) = 4*x - x²
Tacking derivatives on both sides of the equation:
A´(x) = 4 - 2*x A´(x) = 0 4 - 2*x = 0
2*x = 4
x = 2 cm
And y = 4 - 2 = 2 cm
The rectangle of maximum area result to be a square of side 2 cm
A(max) = 2*2 = 4 cm²
To find out if A(x) has a maximum in the point x = 2
We get the second derivative
A´´(x) = -2 A´´(x) < 0 then A(x) has a maximum at x = 2
121.5
121.5 rounded to nearest whole number is 122 --> 121.49 rounded to the nearest whole number is 121
Answer:
agree
Step-by-step explanation:
because they have the same slope of 3. so they are parallel with different y intercepts
Answer:
Trinomial can not be factored
Step-by-step explanation Equation at the end of step 2 : 4x 2 - 2x - 1 = 0 Step 3 : Parabola, Finding the Vertex : 3.1 Find the Vertex of y = 4x 2-2x-1 Parabolas have a highest or a lowest point called the Vertex . Our parabola opens up and accordingly has a lowest point (AKA absolute minimum)