The line y = x + 3 has slope 1, so we look for points on the curve where the tangent line, whose slope is dy/dx, is equal to 1.
y² = x
Take the derivative of both sides with respect to x, assuming y = y(x) :
2y dy/dx = 1
dy/dx = 1/(2y)
Solve for y when dy/dx = 1 :
1 = 1/(2y)
2y = 1
y = 1/2
When y = 1/2, we have x = y² = (1/2)² = 1/4. However, for the given line, when y = 1/2, we have x = y - 3 = 1/2 - 3 = -5/2.
This means the line y = x + 3 is not a tangent to the curve y² = x. In fact, the line never even touches y² = x :
x = y² ⇒ y = y² + 3 ⇒ y² - y + 3 = 0
has no real solution for y.
Answer:
(3,3)
Step-by-step explanation:
x=(5+1)/2=3
y=(5+1)/2=3
Answer:
the tree grew 24 cm in between april and july
Step-by-step explanation:
0.57 m is the same as 57 cm
her tree was originally 33 cm
do 57 - 33
you will get 24
13/5: rational
sq root of 52: Not rational
7.63: rational
0.0584: rational
square root of 25/36: rational
square root of 5/17: not rational
0.65 (65 repeating): rational
square root of 121: rational
Answer:
(-1, -5)
Step-by-step explanation:
When you graph the points, you find that the lines intersect at the point (-1, -5). That is the solution to the system of equations.
(x, y) = (-1, -5)