The cities are 12.2 miles apart
<u>Step-by-step explanation:</u>
The scale of the map is,
5cm = 10 miles
The distance between the 2 cities in map is 6.2 cm
The actual distance between the 2 cities = (6.2 x 10) / 5
= 62/5
= 12.4
The 2 cities are 12.4 miles apart.
For the vectors u = ⟨2, 9⟩, v = ⟨4, –8⟩, and w = ⟨–12, 4⟩, what is u + v + w? ⟨6, 1⟩ ⟨6, 5⟩ ⟨-6, 5⟩ ⟨-6, 21⟩
Levart [38]
Answer:
< - 6, 5 >
Step-by-step explanation:
Add the corresponding components of each vector, that is
u + v + w
= < 2, 9 > + < 4, - 8 > + < - 12, 4 >
= > 2 + 4 - 12, 9 - 8 + 4 >
= < - 6, 5 >
Answer:
The nonlinear system of equations has 4 solutions ⇒ B
Step-by-step explanation:
The number of solutions of a system of equations equal to the number of points of intersection of the graphs of the equations of the system
Let us use this note to solve the question
From the given figure
∵ The nonlinear system of equations represented by two curves and a circle
∵ Each curve intersects the circle into two points
∴ The number of the points of intersection is 4
→ By using the note above
∵ The number of intersection points equal to the number of solutions
∴ The number of solutions is 4
∴ The nonlinear system of equations has 4 solutions
Answer:
The maximum amount of profit is 32
Step-by-step explanation:
Given
Required
Determine the maximum profit
This is calculated by calculating the maximum of the function.
A quadratic function is of the form
and its maximum is:
So:
We have that
<em>Hence, the maximum amount of profit is 32</em>
