Answer:

Step-by-step explanation:
Given

Required
Solve
Express 3 as a fraction

Take LCM


Collect Like Terms

Simplify like terms

Hence:

Answer:
-90
Step-by-step explanation:
The full circle is 360 degrees, so is you turn one way say 10 degrees, then you would need to move 350 degrees in opposite direction.
So, in this case moving 270 one way would be equivalent to moving 360-270=90 degrees in the opposite direction
Answer:
a) The distance travelled on the cycle in the first 14 seconds is 96 meters.
b) The acceleration in the first 4 seconds is 2 meters per square second.
Step-by-step explanation:
a) The distance travelled by the cycle is equal to the area below the curve, which is the sum of the first triangle and the rectangle:



The distance travelled on the cycle in the first 14 seconds is 96 meters.
b) The acceleration is represented by the slope of the line, which is determined by definition of secant line:
(1)

The acceleration in the first 4 seconds is 2 meters per square second.
Answer:
y = 2x + 3
General Formulas and Concepts:
<u>Algebra I</u>
Slope-Intercept Form: y = mx + b
- m - slope
- b - y-intercept
Step-by-step explanation:
<u>Step 1: Define</u>
Slope <em>m</em> = 2
y-intercept <em>b</em> = 3
<u>Step 2: Write function</u>
y = 2x + 3
Answer:
5k+17
Step-by-step explanation:
Combine like terms. Like terms are terms such as 10 and 7. Some caome with variables, such as 5k and 6k. 10+7 is 17. Since you can't combine unlike terms, the expression becomes 5k+17.