Which of the following graphs best represents the solution to the pair of equations below?
1 answer:
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Answer:
0.47x + 7.72
Step-by-step explanation:
We have to create a Linear model using the given two points on the graph. The two points are: (21, 17.5) and (43, 2.75)
The general equation of the line in slope intercept form is
y = mx + c
where m is the slope and c is the y-intercept.
Calculating the slope:
Using the value of m in above equation we get:
y = 0.47x + c
Calculating the y-intercept:
Using any of the given points we can calculate the value of c. Using the point (21, 17.5) in the above equation, we get:
17.5 = 0.47(21) + c
c = 17.5 - 0.47(21)
c = 7.63
Therefore, the equation is:
y = 0.47x + 7.63
Hence option a is the correct answer. The slight change in the value of "c" is because of rounding the value of m to 2 decimal places.
So from the given options, the correct answers is:
y = 0.47x + 7.72
Answer:
<h2>BC = 25</h2>Step-by-step explanation:
It's an isosceles triangle (congruent angles ∠C ≅ ∠B).
Therefore AC = AB.
We have the equation:
<em>subtract 1 from both sides</em>
<em>subtract 2x from both sides</em>
<em>divide both sides by 2</em>
Substitute the value of <em>x</em> to the expression BC = 3x - 8: