A storm moves at a rate of 8 miles per hour. It is 200 miles away from Freeport and headed directly for this town. The equation
1 answer:
You might be interested in
Answer:
8 and 12
Step-by-step explanation:
Sides on one side of the angle bisector are proportional to those on the other side. In the attached figure, that means
AC/AB = CD/BD = 2/3
The perimeter is the sum of the side lengths, so is ...
25 = AB + BC + AC
25 = AB + 5 + (2/3)AB . . . . . . substituting AC = 2/3·AB. BC = 2+3 = 5.
20 = 5/3·AB
12 = AB
AC = 2/3·12 = 8
_____
<em>Alternate solution</em>
The sum of ratio units is 2+3 = 5, so each one must stand for 25/5 = 5 units of length.
That is, the total of lengths on one side of the angle bisector (AC+CD) is 2·5 = 10 units, and the total of lengths on the other side (AB+BD) is 3·5 = 15 units. Since 2 of the 10 units are in the segment being divided (CD), the other 8 must be in that side of the triangle (AC).
Likewise, 3 of the 15 units are in the segment being divided (BD), so the other 12 units are in that side of the triangle (AB).
The remaining sides of the triangle are AB=12 and AC=8.
Answer:
f'(-2.4) ≈ -14
General Formulas and Concepts:
<u>Algebra I</u>
Coordinate Planes
- Coordinates (x, y)
Slope Formula:
Functions
- Function Notation
<u>Calculus</u>
Differentiation
- Derivatives
- Derivative Notation
Step-by-step explanation:
*Note:
The definition of a derivative is the slope of the <em>tangent</em> <em>line</em>.
<u>Step 1: Define</u>
<em>Identify.</em>
f(-2.4) = -1
f(-1.9) = -8
<u>Step 2: Differentiate</u>
Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>.
- [Derivative] Set up [Slope Formula]:
- Substitute in coordinates:
- Evaluate:
---
Learn more about derivatives: brainly.com/question/17830594
---
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Differentiation