Answer:
A: the proposed route is 3.09 miles, so exceeds the city's limit
Step-by-step explanation:
The length of the route in grid squares can be found using the Pythagorean theorem on the two parts of the route. Let 'a' represent the length of the route to the park from the start, and 'b' represent the route length from the park to the finish. Then we have (in grid squares) ...
a^2 = (12-6)^2 +3^2 = 45
a = √45 = 3√5
and
b^2 = (6 -2)^2 +4^2 = 32
b = √32 = 4√2
Then the total length, in grid squares, is ...
3√5 + 4√2 = 6.7082 +5.6569 = 12.3651
If each grid square is 1/4 mile, then 12.3651 grid squares is about ...
(12.3651 squares) · (1/4 mile/square) = 3.0913 miles
The proposed route is too long by 0.09 miles.
Answer:
x = -1, y = 1
Step-by-step explanation:
Given that:

Isolate x for 4x + 11y = 7 which ⇒ 
Substitute
into the equation: which is:

Drop Down to:

Isolate y for 7-8y = -1: y = 1
Thus, 
Substitute y = 1
Hence,

Solution ⇒ x = -1 and y = 1
<u><em>~learn with lenvy~</em></u>
<u>Answer:</u>
both numbers are negative
negative number is greater than the positive number
<u>Step-by-step explanation:</u>
In order to add two rational numbers and get a negative value, one of two scenarios should occur:
<u>1- both numbers are negative.</u>
2- negative number is greater than the positive number
Answer:
(2,8)
x = 2
y = 8
Step-by-step explanation:
<u>The steps are shown in the picture</u>
The answer to question 18 is C. and the answer to question 19 is B