The absolute value function |<em>x</em>| always returns a non-negative number. It takes any number <em>x</em> and returns <em>x</em> if it's already non-negative, or -<em>x</em> if it is negative in order to make it positive.
For the equation
-3 + 4 |2<em>x</em> - 5| = 14
rearrange terms to get
|2<em>x</em> - 5| = 17/4
Now,
• if 2<em>x</em> - 5 ≥ 0, then |2<em>x</em> - 5| = 2<em>x</em> - 5. Then
2<em>x</em> - 5 = 17/4
• and if instead 2<em>x</em> - 5 < 0, then |2<em>x</em> - 5| = -(2<em>x</em> - 5), so that
-(2<em>x</em> - 5) = 17/4, or
2<em>x</em> - 5 = -17/4
In the first case,
2<em>x</em> - 5 = 17/4
2<em>x</em> = 17/4 + 5 = 37/4
<em>x</em> = 37/8
In the second case,
2<em>x</em> - 5 = -17/4
2<em>x</em> = -17/4 + 5 = 3/4
<em>x</em> = 3/8
Answer:
Step-by-step explanation:
x=140°
m || n
Answer:
Step-by-step explanation: A GENERAL NOTE: VERTICAL STRETCHES AND COMPRESSIONS
Given a function a new function where is a constant, is a vertical stretch or vertical compression of the function
, then the graph will be stretched., then the graph
, then there will be combination of a vertical stretch or compression with a vertical reflection.HOW TO: GIVEN A FUNCTION, GRAPH ITS VERTICAL STRETCH.Identify the value of Multiply all range values by the graph is stretched by a factor of the graph is compressed by a factor of
, the graph is either stretched or compressed and also reflected about the
EXAMPLE: GRAPHING A VERTICAL STRETCHmodels the number of fruit flies in a population over time, and is graphed below.A scientist is comparing this population to another population, whose growth follows the same pattern, but is twice as large. Sketch a graph of this population.Graph to represent the growth of the population of fruit flies.
Also if you need help here is where i found the info- Lumen learning-
hope this helped :D
Answer:
Alternate exterior angles
Step-by-step explanation:
Alternate exterior angles are angles that are formed outside two parallel lines that cuts through a transversal line. these angles are formed on the opposite side of the transversal line ( alternate side).
Also Alternate exterior angles are congruent in nature are they are not adjacent angles as well
