<span>The table to represent a linear function with a rate of change of +5
</span>
so, m = 13 + 5 = 18
The correct answer is option 3 ⇒ <span>m = 18
</span>
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another solution :
The table represents a linear function
the general equation of the linear function is ⇒ y = ax+b
where a is the slope and b is constant
By using the first and the third points from table to find the equation of the linear function
at x = 3 ⇒ y = 13 and at x = 5 ⇒ y = 23
∴ 13 = 3a+b → (1)
23 = 5a+b → (2)
solve (1) and (2) to find a and b
So, a = 5 and b = -2
∴ y = 5x - 2
After that by substitution with x = 4 int the equation of y
∴ y = 5*4-2 = 18
∴ m = 18
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Answer:
1 11/20
Step-by-step explanation:
Answer:
Step-by-step explanation:
Note that in this diagram, point A represents point X, point B represents point Y, and point C represents point Z.
From the diagram, it appears as if 
. To determine if this is the case, we can find the slopes of both segments.
Since these slopes are negative reciprocals, we know that they are perpendicular.
This means we can use the formula 
, where b is the base (XY) and h is the height (XZ).
- Note these are interchangeable.
Using the distance formula,
This means the area is 
