noe4geskirstc
noe4geskirstc noe4geskirstc
  • 04-08-2016
  • Mathematics
contestada

In the xy-plane, the line x + y=k, where k is a constant, is tangent to the graph of y=x^2+3x+1. What is the value of k?

Respuesta :

Hagrid
Hagrid Hagrid
  • 08-08-2016
slope of tangent line = dy/dx = 2x+3
k is y_intercept of tangent line

2x+3 = -1
x = -2
y = (-2)^2+3(-2)+1 = -1

tangent line passes through point (-2,-1)

k = x+y

k = -2 -1

k = -3

Answer Link

Otras preguntas

The equation of the circle with center (3, -2) and radius 7 is (X blank) + (y blank)
The probability that Kimmy makes a basket is 70%. If the shoots 100 baskets, how many can she expect to make?
Cry, the Beloved country is the book The most accurate description of the language that Alan Paton employs in Cry, the Beloved Country is Question 15 options: g
A roller coaster starts from a deck at an elevation of 20 feet above the ground. On the first hill it climbs 83 feet and then drops 42 feet. On the second hill
question in pic blow plz help me
find the value of x​
What is the equation of the line that is perpendicular to f(x) and passes through the point (4, –6)? a.4x + 3y = –2 b. 3x + 4y = –12 c.4x – 3y = 34 d.3x – 4y =
what is consonant cluster?​
A 7 kg ham costs $19/kg. Find the cost per pound.
What is the circumference and area of a circle with a radius of 4 meters? Round your answer to the nearest tenth.