Answer: area of the outer part of the rug= 16 -x²
Step-by-step explanation:
Hi, to answer this question we have to apply the next formula:
Area of a square: Side²
Since the area of the rug including the inner square is:
Area of the rug = 4² =16 in²
And the area of the inner square is equal to:
Area if the inner square = x²
To obtain the area of the outer part of the rug we have to subtract the area of the inner square to the area of the rug.
Area of the outer part of the rug= 16 -x²
Feel free to ask for more if needed or if you did not understand something.
The distance between the two adjacent gas stations will be 5 miles.
<h3>What is the difference between a ratio and a proportion?</h3>
A ratio is an ordered pair of integers a and b expressed as a/b, with b never equaling 0. A percentage is a mathematical expression in which two ratios are specified to be equal.
Distance between city airport and the train station = 45 miles
Stations equally spaced between the airport and train station=9
Let the space between two gas stations will be x;
x = 45/9
x=5 mile.
Hence, the distance between the two adjacent gas stations will be 5 miles.
To learn more about the ratio, refer to the link;
brainly.com/question/14335762
#SPJ1
The given circles are given in standard form:
(x - xc)² + (y - yc)² = r²
The second quadrant is the one that has negative x coordinates and positive y coordinates.
This said, let's see all your options:
A) (x - 5)² + (y - 6)² = 25
xc = -(-5) = +5
yc = -(-6) = +6
C (5 , 6) is in the first quadrant.
B) (x + 1)² + (y - 7)² = 16
xc = -(+1) = -1
yc = -(-7) = +7
C (-1 , 7) is in the second quadrant.
C) (x - 4)² + (y + 3)² = 32
xc = -(-4) = +4
yc = -(+3) = -3
C (4, -3) is in the fourth quadrant.
<span>
D) (x + 2)² + (y - 5)²= 9</span>
xc = -(+2) = -2
yc = -(-5) = +5
C (-2 , +5) is in the second quadrant.
Therefore, the correct answers are B and D.
Answer:
The value of x is 
Step-by-step explanation:
we know that
Applying the tangent-secant theorem
substitute the values and solve for x
using a graphing tool
to solve the quadratic equation
The solution is 
see the attached figure
Step-by-step explanation:
Thereafter,
Distance :-
- 90 miles + 40 miles = 130 miles
Time :-
Average Speed :-
