The total distance flown by the bird directly from the courthouse to the library, then from the library to the swimming pool, and then from the swimming pool back to the courthouse is 13 + √85 miles
<h3 /><h3>What is distance:</h3>
Generally, distance is a scalar quantity . This means it has only magnitude but no direction.
Distance describes how much ground an object covers on motion.
Therefore, the total distance the bird flew is how much ground it covered during motion.
The library is 6 miles south of the courthouse and 7 miles west of the community swimming pool.
Distance from court house to the library = 6 miles
Distance from library to the swimming pool = 7 miles
we use Pythagoras's theorem to find the distance from the swimming pool back to the courthouse. Therefore
Distance from swimming pool to the court house = 7² + 6² = 49 + 36 = √85
Total distance travelled = 6 + 7 + √85 = 13 + √85 miles
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Answer:
y=3x-2
Step-by-step explanation:
The formula for slope is y=mx=b
You can find the slope by finding two points that lie on the line (1,1) & (0,-2)
The formula for slope is 
You plug the values in and you get 
Simplify and you get 3
The slope is 3
The y-intercept (b) is -2
Answer:
Step-by-step explanation:
Simplifying
5(4x + p) = w
Reorder the terms:
5(p + 4x) = w
(p * 5 + 4x * 5) = w
(5p + 20x) = w
Solving
5p + 20x = w
Solving for variable 'p'.
Move all terms containing p to the left, all other terms to the right.
Add '-20x' to each side of the equation.
5p + 20x + -20x = w + -20x
Combine like terms: 20x + -20x = 0
5p + 0 = w + -20x
5p = w + -20x
Divide each side by '5'.
p = 0.2w + -4x
Simplifying
p = 0.2w + -4x
Length = 2 breadth +6
perimeter= 4(length+ breadth)
168=4(2breadth +6+breadth
42={3breadth+6)
14=breadth +2
breadth =12
length=30
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Answer:
1. Exponential
Step-by-step explanation:
The simplest RC-Circuit, that is, a capacitor and a resistor in a series configuration can be modeled by using Ohm's Law and Kirchhoff's Circuit Laws:
By rearranging the formula, an homogeneous linear first-order differential equation is found:
Whose solution has the form of a exponential model:
