First find the slope, take derivative of both sides with respect to x.
2y dy/dx=3x^2+6x
solve for dy/dx
dy/dx=[3x^2+6x]/2y
plug in given vales of (1,2(
dy/dx=9/4
now you have everything you need to plug into point slope form
y-2=(9/4)(x-1)
answer is y=(9/4)x+(1/4)
Answer:
answer and explanation below
Step-by-step explanation:
2.m<x=75(angle on the same line so 180-105)
m<y=105 (vertical angles of the parallelogram are equal)
m<z=75 ( vertical angle of m<x)
3.M<y = 25 ( vertical angle property)
m<z=155( on the same line)
m<z and M,x =155( vertical angles )
Answer: x⁴y²⁰
Step-by-step explanation: Distribute the exponent ⁴ over the parentheses
(x y⁴)⁴ becomes x⁴y¹⁶ (multiply exponents)
then take the 4th root of y¹⁶ (divide the exponent of the radicand by the index) ⁴√y¹⁶ becomes y⁴
Then multiply the factors. Add exponents
x⁴y¹⁶ * y⁴ becomes x⁴y²⁰
Answer:
x < 2
Step-by-step explanation:
< means less than
x < 2