Answer:
They are proportional
Step-by-step explanation:
becaue the length of one of the square's sides is 1/4 the perimeter
Answer:
7/6
Step-by-step explanation:
7/3÷4/5
7/3×5/4
35/12
Now the multiplication
2/5×35/12
70/60
7/6
Answer:
Will's age = 9 years
Bill's age = 11years
Step-by-step explanation:
Let will age = x
Bill = x +2 since he is 2 years older
x(x+2) = 5( x +x+2) - 1
Opening brackets
x² + 2x = 5(2x + 2) - 1
x² + 2x = 10x + 10 - 1
x² + 2x = 10x + 9
Collect like terms
x² + 2x - 10x - 9 = 0
x² - 8x - 9 = 0
Solve quadratically using factorisation method by finding two factors of +9 that can add up to give -8, the coefficient of x.
The factors are -9 and +1
x² + x - 9x - 9 = 0
x(x + 1) -9( x +1)
x+1) (x -9) =0
x + 1 = 0 or x -9 =0
x = -1 or 9
Age can not be negative
Therefore,
Will's age = 9 years
Bill's age = x+2 = 9+2 = 11years
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Answer:

Step-by-step explanation:
The distance (d) between two points in 3 dimensions is ...
d = √((x2 -x1)² +(y2 -y1)² +(z2 -z1)²)
Then the distance between (a, -b, -4) and (0, 0, 0) is ...
d = √((a -0)² +(-b -0)² +(-4 -0)²)
= √(a² +b² +16)
1. D. because if the students she surveyed had just left the movie theatre, meaning they were there to watch a movie, hence the conclusion that they like watching movies can be drawn. 2. D. because the same reason as number 1, the reporter only surveyed people that had shopped there, meaning that the people liked Forever 21 merchandise.