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.
Where do you need help? Where did you get lost?
Equation of the line joining the points R(-1,6) and S(5,5)
Answer: $191.45
Step-by-step explanation:
This question requires the price of a bike in future so you can use the future value formula to calculate it:
Future value = Amount * (1 + rate)^ no. of periods
= 350 * (1 - 14%)⁴
= 350 * 0.54700816
= $191.45
<em>The rate is subtracted from 1 instead of being added to represent that the value is decreasing not increasing. </em>
Answer:
inverse
Step-by-step explanation:
4 is the additive inverse of -4
When you add opposites, they always have a sum of 0.
4 + -4 = 0
The additive inverse of a positive number is negative and vice versa.
