B ,, the slope is the same , 4-(-2) = 6
Answer:
length is 20 and width is 9
Step-by-step explanation
The 30-60-90 triangle's sides share a ratio of 1:√3:2 where the shortest side is the one facing opposite 30°.
This means that the longest side of aa 30-60-90 triangle is twice that of the shortest side. Now, given that the shortest side has a length of 15, then its longest side would be 2(15) = 30.
Thus, the hypotenuse is 30 units.
Answer:
3.
Step-by-step explanation:
Implicit differentiation:
x^2 y + (xy)^3 + 3x = 0
x^2 y + x^3y^3 + 3x = 0
Using the product rule:
2x* y + x^2*dy/dx + 3x^2 y^3 + x^3* (d(y^3)/dx) + 3 = 0
2xy + x^2 dy/dx + 3x^2 y^3 + x^3* 3y^2 dy/dx + 3 = 0
dy/dx(x^2 + 3y^2x^3) = (-2xy - 3x^2y^3 - 3)
dy/dx= (-2xy - 3x^2y^3 - 3) / (x^2 + 3y^2x^3)
At the point (-1, 3).
the derivative = (6 - 81 - 3)/(1 -27)
= -78/-26
= 3.