Answer:
The unit vectors are:
Step-by-step explanation:
Unit vectors that are a parallel to the tangent line have the same slope than the tangent line, thus we can find the slope of the tangent line, find directional vectors and then their corresponding unit vectors.
Finding the slope of the tangent line.
We can find the first derivative of the curve, which represents the slope of the tangent line of the curve at that point.
At x = 2 we have
Thus we have slope m = 4, then the parallel unit vector has slope m = 4/1
Finding unit vectors.
From the slope m = 4/1, we can write it as a direction vector with x =1 and y = 4. Notice also that x = -1 and y = -4 would have given as as well slope m = 4 too.
Then in order to find the unit vector on that direction we can use the formula
So finding the magnitude we get
Then one unit vector that is parallel to the tangent line is
And the second unit vector is
The negative sign on both x and y components just tell us that we are aiming on the opposite direction as the first unit vector, yet both have the same value of the slope.
Answer:
2nd question 3rd one down
Step-by-step explanation:
BRAINLIEST PLEASE
Answer:
y = 2x - 6
Step-by-step explanation:
The slope-intercept equation is y = mx + b
where m is the slope and b is the point on the y axis when x=0 which is called the y intercept.
The slope is the rise over run.
Rise is the difference in the y values.
Run is the difference in the x values.
Rise = difference between -6 and -10 which is 4 units
Run = difference between 0 and -2 which is 2 units.
The slope would then be 4 over 2 or 4/2 which can be reduced down to 2.
If you visualize the line on the graph, the line slopes upward from left to right. So the slope must be a positive number.
Slope = 2
The y intercept is when x=0. One of the coordinates (0, -6) gives you that answer. When x=0, y = - 6. This is b.
Your equation would be y = 2x - 6
Complete question :
Carly purchased 9 1/2 pints of ice cream for a party. If each guest will be served exactly 3/5 pint of ice cream, what is the greatest number of gusts that Carly can serve
Answer:
15 guests
Step-by-step explanation:
Given that:
Total pints of icecream = 9 1/2
Fraction of ice cream pints per guest = 3/5 pints
Number of guest that can be served :
Total pints / fraction per guest
9 1/2 ÷ 3/5
19/2 * 5/3
95 / 6
= 15.8 guest
Hence, greatest Number of guest that can be served = 15
Hi!
length = l = 2 * width = 2 * w
Area = l * w = l * 2 * l = 2 * l^2
2 * l^2 = 72
l^2 = 72/2 = 36
l = square root of 36
l = 6
l = 2 * w => w = l/2 = 6/2 = 3
Perimeter = 2 * l + 2 * w = 2 * 6 + 2 * 3 = 12 + 6 = 18 feet
Hope this helps!
