Answer:
Step-by-step explanation:
There's the two widths, x.
There's the four lengths, y.
4y+2x=600
Also, A=xy.
x=300-2y
A=y*(300-2y)
dA/dy=0= y*(-2)+(300-2y)
-2y-2y+300=0
y=300/4=150/2=75
x=300-2y=300-150=150
Then the long side is 150ft, the short side is 75ft.
Check to make sure that the sum of the lengths is 600: 300+300=600
And the maximum area is 150*75 ft2
<h3>
Answer:</h3>
169
<h3>
Step-by-step explanation:</h3>
Functions are represented as a rule in terms of x as the independent variable and f(x) as the dependent variable.
Function Notation
Functions are written like f(x)=x. This might look unfamiliar but it is the same as y=x. In both examples, y and f(x) are the dependent variables.
If the x in f(x) is replaced by a constant, then the equation represents the function with x equals that constant.
So, the question asks to find the value of the function when x equals 14.
Solving the Function
Now to solve the function, we can plug 14 in for x.
First, we can multiply 9*14
Next, add together the remaining terms.
This gives us the final answer of 169.
9514 1404 393
Answer:
B) ΔCAT is congruent to ΔDOG
Step-by-step explanation:
If angles are congruent, the triangles are <em>similar</em>. When both corresponding angles and corresponding sides are congruent, the triangles are <em>congruent</em>.
ΔCAT is congruent to ΔDOG