Answer:
The steps are numbered below
Step-by-step explanation:
To solve a maximum/minimum problem, the steps are as follows.
1. Make a drawing.
2. Assign variables to quantities that change.
3. Identify and write down a formula for the quantity that is being optimized.
4. Identify the endpoints, that is, the domain of the function being optimized.
5. Identify the constraint equation.
6. Use the constraint equation to write a new formula for the quantity being optimized that is a function of one variable.
7. Find the derivative and then the critical points of the function being optimized.
8. Evaluate the y-values of the critical points and endpoints by plugging them into the function being optimized. The largest y- value is the global maximum, and the smallest y-value is the global minimum.
Answer:
x= 40
y= 15
sum= 55
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
Use a special rule: BD^2=AD*DC (the squared height in right triangle drawn to hypotenuse is equal to the product of the parts of hypotenuse on which height divides the hypotenuse) 12^2=9*DC
DC=16
The area of the triangle FGH is 13√10 unit²
Given,
The vertices;
F(2, -8), G(7, -7), H(6, -4)
We have to find the area of the triangle.
Area of triangle = 1/2bh²
Here,
Area of triangle FGH = 1/2 (GH) (FG)²
Now,
Length of FG =
=
=
= √26
Length of GH =
=
=
= √10
Then,
Area of triangle FGH = 1/2 (GH) (FG)²
Area of triangle FGH = 1/2 × √10 × √26²
Area of triangle FGH = 1/2 × √10 × 26
Area of triangle FGH = 13√10
Therefore,
The area of the triangle FGH is 13√10 unit²
Learn more about triangle here;
brainly.com/question/12949215
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Answer:
C) f(2) = 5
Step-by-step explanation:
f(2) = 20(0.5)*2
f(2) = 2(10)
f(2) = 20
f(2) = 20 ≠ f(2) = 5