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:
Both Peter and Eric had the same unit rate of 72mph.
Step-by-step explanation:
Peter:
432/6 = 72
72 miles per hour
Eric:
360/5 = 72
72 miles per hour
Answer:
75 times.
Step-by-step explanation:
Well there are 12 months and 3 of them start with the letter J, so theoretically, 25% of the months chosen will start with the letter J because 
, which is 25%. 25% of 300 (or 
, for those who like fractions) is 75, so theoretically, we can expect a month that starts with the letter J 75 times.
Hope this helps!
<em>P.S: </em><u><em>Please mark me as brainliest!</em></u>
You need a map or a picture of what you are talking about so i can help find you the answer so please take a picture and post it so i can see it.
Usushahhaha shsjjiiaahhsbssbbs
