Answer:
k=20
Step-by-step explanation:
The constant of proportionality, k, measures the constant value of the ratio between two proportional quantities, being y and x in this case. Essentially, y/x will always equal 20, the constant of proportionality.
Answer:
input
Step-by-step explanation
Because it is a causal relationship between x and y
we know that
Area of the circle is equal to

where
r is the radius
in this problem



therefore
the answer is the option
d. 113.04 sq. in.
Answer:
x and y are 5.66 units
Step-by-step explanation:
The triangle above is a right angled triangle ; and can be solved using trigonometric relation :
Using :
Sin 45 = opposite / hypotenus
Opposite = y ; hypotenus = 8
Sin 45 = y/8
y = sin 45 * 8
y = 5.66 units
Side length x ;
Sin 45 = opposite / hypotenus
Sin 45 = x / 8
x = sin 45 * 8
x = 5.66 units
Answer:
2x² + 3x + 4 + (17x + 9) / (x² − 4)
Step-by-step explanation:
Start by setting up the division. Make sure to write all the coefficients, even the zero ones.
x² + 0x − 4 | 2x⁴ + 3x³ − 4x² + 5x − 7
Start by dividing the first term of the dividend (2x⁴) by the first term of the divisor (x²). That's 2x²; it'll be the first term in quotient. Multiply the divisor by 2x²:
2x⁴ + 0x³ − 8x²
Subtract that from the first three terms of the dividend:
3x³ + 4x²
Drop down the next term from the dividend, and start the process all over again.
3x³ + 4x² + 5x
When you finish, the quotient will be 2x² + 3x + 4, and the remainder will be 17x + 9.