Ill give brainliest pls help i am so stuck
1 answer:
Answer:
Part A:
Since the slopes of the lines are not equal, the pair of equations for lines A and B will have one solution.
Part B:
(3 ,5 ) is the solution to the equations of lines A and B.
Step-by-step explanation:
Part A:
We are required to determine the number of solutions that the pair of equations for lines A and B have. To do this, we shall determine the slope of each line;
A straight line labeled A joins the ordered pair 2, 6 with the ordered pair 6, 2. The slope is defined as;
(change in y) / (change in x)
The slope of line A is thus;
(2 - 6)/(6 - 2) = -1
A straight line B joins the ordered pair 0, 3 with the ordered pair 4.5, 6.
On the other hand, the slope of line B is;
(6 - 3) / (4.5 - 0) = 2/3
Since the slopes of the lines are not equal, the pair of equations for lines A and B will have one solution.
Part B:
What is the solution to the equations of lines A and B?
We first need to determine the equation of each line;
Line A, the slope was found to be -1 and the line passes through (2,6)
The equation of the line in slope intercept form is;
y = -x + c
6 = -2 + c
c = 8
y = -x + 8
On the other hand, the slope of line B was found to be 2/3 and the line passes through (0,3). Therefore, we have;
y = 2/3x + c
3 = 2/3 (0) + c
c= 3
y = (2/3)x + 3
The graph of these two lines is shown in the attachment below. The lines intersect at (3 ,5 ) which is the solution to the equations of lines A and B.
The graphical solution to a system of linear equations is given by the point of intersection of the two lines representing each equation.
You might be interested in
Considering the Central Limit Theorem, we have that:
a) The probability cannot be calculated, as the underlying distribution is not normal and the sample size is less than 30.
b) The probability can be calculated, as the sample size is greater than 30.
<h3>What does the Central Limit Theorem state?</h3>It states that the sampling distribution of sample means of size n is approximately normal has standard deviation , as long as the underlying distribution is normal or the sample size is greater than 30.
In this problem, the underlying distribution is skewed right, that is, not normal, hence:
- For item a, the probability cannot be calculated, as the underlying distribution is not normal and the sample size is less than 30.
- For item b, the probability can be calculated, as the sample size is greater than 30.
More can be learned about the Central Limit Theorem at brainly.com/question/16695444
#SPJ1