The model for direct proportion is y = mx. Note that there is no "offset," no "y-intercept."
y = 6x represents direct proportion with a constant of proportionality 6. The other 2 choices are disqualified because of offset +6 or -6.
Answer:
40%
Step-by-step explanation:
40 is 40% of 100, you don't need a calculator for that, so, it's a 40% increase
hope this helps:)
Answer:
Step-by-step explanation:
x+y=17 is NOT the equation for any circle. You have omitted the exponents. The equation for the circle should be
x^2 + y^2 = 17.
:::::
Plug the coordinates of D into the equation.
(-4)² + (-1)² = 17, so D is on the circle.
Plug the coordinates of E into the equation.
1² + 4² = 17, so E is on the circle.
:::::
Slope of DE = (-1 - 4)/(-4 - 1) = 1
Slope of perpendicular to DE is -1.
Midpoint of DE: ((-4+1)/2, (-1+4)/2) = (-1.5, 1.5)
Point-slope equation for perpendicular bisector:
y-1.5 = -(x+1.5)
y = -x
:::::
Center of circle is (0,0)
0 = -0, so y=-x passes through the center.
As from the question,
x = 60°
πd = 12π
Using the Arc Length formula,
x/360° × πd
= 60°/360° × 12π
= 2π
Ans: B
Answer:
the first, third, and the forth
