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2 answers:
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7.
Direct variation is:
Where 'k' is the constant of variation. Let's plug in y = -6 and x = 10 into the formula:
Divide 10 to both sides:
Plug this in for 'k' in our formula:
This is our formula. To find out what 'y' is when 'x' = 5, plug in 5 for 'x':
Multiply:
9.
Let's plug in y = 9 and x = 8 into our formula:
Divide 8 to both sides:
So our equation is:
Now let's plug in 18 for 'y' to find out what 'x' is when y = 18:
Divide 9/8 to both sides or multiply by its reciprocal 8/9:
Direct variation is:
Where 'k' is the constant of variation. Let's plug in y = -6 and x = 10 into the formula:
Divide 10 to both sides:
Plug this in for 'k' in our formula:
This is our formula. To find out what 'y' is when 'x' = 5, plug in 5 for 'x':
Multiply:
9.
Let's plug in y = 9 and x = 8 into our formula:
Divide 8 to both sides:
So our equation is:
Now let's plug in 18 for 'y' to find out what 'x' is when y = 18:
Divide 9/8 to both sides or multiply by its reciprocal 8/9:
Answer:
Perimeter = 18.7 units
Area = 13.5 units²
Step-by-step explanation:
Perimeter of ADEC = AD + DE + EC + AC
Length of AD = 3 units
By applying Pythagoras theorem in ΔDBE,
DE² = DB² + BE²
DE² = 3² + 3²
DE = √18
DE = 4.24 units
Length of EC = 3 units
By applying Pythagoras theorem in ΔABC,
AC² = AB² + BC²
AC² = 6² + 6²
AC = √72
AC = 8.49 units
Perimeter of ADEC = 3 + 4.24 + 3 + 8.49
= 18.73 units
≈ 18.7 units
Area of ADEC = Area of ΔABC - Area of ΔBDE
Area of ΔABC =
=
= 18 units²
Area of ΔBDE =
=
= 4.5 units²
Area of ADEC = 18 - 4.5
= 13.5 units²
