Answer:
1) at ( 0,0) : y = x/2. at(-3-1) : y = -1. at(-3,3) : y = 2x +9
2) DNE ( does not exist )
Step-by-step explanation:
The general equation of tangent line
y - y1 = m( x - x1 )
attached below is the detailed solution on how i derived the answers above
Answer:
y = -1/3x-7
Step-by-step explanation:
y = mx + b
m is the slope so -1/3. B is the y-intercept so -7
<span>
Let's analyze Hannah's work, step-by-step, to see if she made any mistakes. </span>In Step 1, Hannah wrote
<span> as the sum of two separate derivatives </span>
<span>using the </span><span>sum rule.
</span>
This step is perfectly fine. In Step 2,
was kept as it is, and
was rewritten as
using the constant rule.Indeed, according to the constant rule, the derivative of a constant number is equal to zero.
This step is perfectly fine. In Step 3,
was rewritten as
supposedly using the constant multiple rule.
The problem is that according to the constant multiple rule,
should be rewritten as
and not as
.
<span>
Therefore, Hannah made a mistake in this step.</span>
Answer:
The correct option is;
Coordinate grid shown from negative 2 to positive 2 on the x-axis and negative 2 to positive 2 on the y-axis in increments of 1 over 4. Only the whole numbers are labeled. A point A is shown at the intersection of 3 grid lines to the left of the y-axis and 6 grid lines above the x-axis
Step-by-step explanation:
The coordinate of the point in the question = (0.75, -1.50)
The options given are
x = -2 to 2 on the y-axis and y = -2 to 2 on the y-axis in increments of 1/4 Only the whole numbers are labelled.
Point A = 6 grid lines to the left of the y-axis and 3 grid lines above the x-axis corresponding to the point (6×(-1/4), 3×1/4) = (-1.5, 0.75)
From the above, it is seen that the point A that will correspond with the point (0.75, 1.50) will have a spacing of 3 grid lines to the left of the y-axis and 6 grid lines above the y-axis
Therefore, the correct option is Coordinate grid shown from negative 2 to positive 2 on the x-axis and negative 2 to positive 2 on the y-axis in increments of 1 over 4. Only the whole numbers are labeled. A point A is shown at the intersection of 3 grid lines to the left of the y-axis and 6 grid lines above the x-axis.
The short side measures s.
The adjacent, longer side measures s + 4.
The area of a rectangle is the product of the lengths of two adjacent sides.
area = s(s + 4)
Distribute the s.
area = s * s + s * 4
area = s^2 + 4s
