A^2 - 6a/a-6 • a+3/a
a(a - 6)/(a - 6) • a+3/a
a • (a + 3)/a
a(a+3)/a
a+3.
The correct solution to this question would be B. a+3.
Based on the calculations, the coordinates of the mid-point of BC are (1, 4).
<h3>How to determine coordinates of the mid-point of BC?</h3>
First of all, we would determine the initial y-coordinate by substituting the value of x into the equation of line that is given:
At the origin x₁ = 0, we have:
y = 2x + 1
y₁ = 2(0) + 1
y₁ = 2 + 1
y₁ = 3.
When x₂ = 2, we have:
y = 2x + 1
y₂ = 2(2) + 1
y₂ = 4 + 1
y₂ = 5.
In order to determine the midpoint of a line segment with two (2) coordinates or endpoints, we would add each point together and divide by two (2).
Midpoint on x-coordinate is given by:
Midpoint = (x₁ + x₂)/2
Midpoint = (0 + 2)/2
Midpoint = 2/2
Midpoint = 1.
Midpoint on y-coordinate is given by:
Midpoint = (y₁ + y₂)/2
Midpoint = (3 + 5)/2
Midpoint = 8/2
Midpoint = 4.
Therefore, the coordinates of the mid-point of BC are (1, 4).
Read more on midpoint here: brainly.com/question/4078053
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Answer: See explanation
Step-by-step explanation:
The response variable is the variable that the researcher is interested in. It is what the experiment really focuses on.
An explanatory variable is the variable that is being manipulated by the researcher and it explains the variations that may occur to the response variable.
It should also be noted that it is important to distinguish between the response variable and the explanatory variable in a linear regression.
