• The slope of the tangent line at the point is
dy
dx
x=2 = 2x
x=2 = 4 =
4
1 =
rise /run .
• A vector parallel to the tangent line is v = [1,4]
• A vector parallel to the tangent line is v = [1,4].
Two unit vectors parallel to the tangent line are
u =
v /|v| =
[1,4]/ √
1+16 =
h
√ -1/ <span>√ </span>17 , 4 /<span>√ </span>17 i
and
The formula to find the slope of a line is m=(y2-y1)/(x2-x1). In this question: x1=3, x2=2, y1=5, and y2=1. Plug in and solve:
(1-5)/(2-3)=-4/-1=4=m
Slope-intercept form follows the format: y=mx+b, where m is the slope and b is the y-intercept. We calculated m to be 4, so the equation reads:
y=4x+b
To solve for b, you can select one of the ordered pairs (we'll use (2,1)), plug them in for x and y, and solve for b:
1=4(2)+b
1=8+b
-7=b
The equation is y=4x-7.
Hope this helps!!
Answer:
Step-by-step explanation:
This is just an improper fraction when done.
numerator: 50*4 + 1 = 200 + 1 = 201
denominator: 4
Answer: 201/4
Answer:
The answer is 26
Step-by-step explanation:
4x + 3y
4(5) + 3(2)
20 +6
26
Answer:
The answer is 70.
Step-by-step explanation:
Ratio of cars per hour is 5:1
For every hour, they wash five cars. Multiply 5 times 7. That equals 35. That's 35 cars per day. Now they're asking for 2 days. Multiply 35 by 2 (because of the 2 days) and you get 70 cars.