Answer:
225 m²
Step-by-step explanation:
If W is the width of the rectangle, and L is the length, then:
60 = 2W + 2L
A = WL
Use the first equation to solve for one of the variables:
30 = W + L
L = 30 − W
Substitute into the second equation:
A = W (30 − W)
A = 30W − W²
This is a parabola, so we can find the vertex using the formula x = -b/(2a).
W = -30 / (2 × -1)
W = 15
Or, we can use calculus:
dA/dW = 30 − 2W
0 = 30 − 2W
W = 15
Solving for L:
L = 30 − W
L = 15
So the maximum area is:
A = WL
A = (15)(15)
A = 225
Answer:
f= -(6/5)g
Explanation:
We have been given the expression 6f+9g = 3g+f
Solve for f means find the value of f
We will simplify the given expression:
we will collect the values of f at one side and g on the other side
So, rewriting the given expression 6f+9g =3g+f as 6f-f=3g-9g
So, after simplification it will lead to 5f= -6g
After further simplification f= -(6/5)g which is the final result
Answer:
The statement is wrong. a-b can be positive but not always.
Step-by-step explanation:
There can be three possible situations that are:
- a>b
- a<b
- a=b
Now taking first condition, the result will be positive because a smaller integer is subtracted from a greater one. Such as 5-2=3
In second condition, the result will be negative because a greater integer is subtracted from smaller one. Such as 2-5= -3
In the third condition, the result will always be zero because both the integers will cancel each other. Such as 5-5=0
Answer:
a) We can just add Distance from Tulsa to Dallas and distance from Dallas to Houston,
258 + 239 = 497
b) It's the same distance = 497
c) We can tell its the same distance, because we are travelling in the same road, which would mean it would be no different when going to or coming back from Houston.
Answer:
30
Step-by-step explanation:
Quotient means were dividing, so divide 900.37 by 28.9
900.37/28.9=30 rounded up.
The estimated quotient of 900.37 and 28.9 is 30.
Hope this helps!
