Answer:
2
Step-by-step explanation:
The slope of a line given two points is found by
m = (y2-y1)/(x2-x1)
= (3-5)/(-2- -1)
=(3-5)/(-2+1)
= -2/-1
=2
Answer: Option d.
Step-by-step explanation:
To find the domain of the function we should look for the values for which the denominator is equal to zero, because the division by zero is not allowed.
We know by definition that the function
is always greater than zero for all <em>x</em>.
We know that the constant <em>c</em> is greater than zero (c>0).
Then, the expression
is never equal to zero.
Therefore, it does not exist a value for <em>x</em> that makes the denominator 0. Then, the domain of the function is all real numbers.
The answer is the option d.
By definition of <em>linear</em> functions and the comparison with the attached figure, the function that represents the graph is y = (7/15) · x + 4, - 6 ≤ x ≤ 9.
<h3>What kind of function represents the graph?</h3>
Graphically speaking, <em>linear</em> functions represent lines and we see that the line seen in the figure presents two bounds, the points (- 6, 0) and (9, 7). <em>Linear</em> functions are characterized by slope and intercept:
y = m · x + b (1)
Slope
m = (7 - 0)/[9 - (- 6)]
m = 7/15
Intercept
b = 4
By definition of <em>linear</em> functions and the comparison with the attached figure, the function that represents the graph is y = (7/15) · x + 4, - 6 ≤ x ≤ 9.
To learn more on linear functions: brainly.com/question/14695009
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Answer:
115 in²
Step-by-step explanation:
SA = Area of triangular surfaces + area of the square base
SA= 2bh + b²
SA = 2(5)(9)+5²
SA = 90+25
SA = 115